diff --git "a/data/dm_maths/full_data/1054_11255.jsonl" "b/data/dm_maths/full_data/1054_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1054_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-3 - 4*q + 3)*(-5 + 3*q + 5) - 2*q**2 + 3*q**2 + 4*q**2.\nAnswer: -7*q**2","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: Simplify ((d**17\/d)**5*(d**0)**49)**(-2\/95) assuming d is positive.\nAnswer: d**(-32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10491 is divided by 580?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3597 - 0.2597. What is the closest to 1 in w, 61, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - 0.1. Let m = 4.0426 + -0.0226. Let h = m - v. Which is the closest to -1? (a) -0.5 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-188)\/(-36) - (-64)\/(-288). Solve 0 = 2*p + 4, -j*l + 2*p + 31 = -p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24436, -48836, -73246, -97672, -122120, -146596, -171106?\n\"Answer: -o**3 + o**2 - 24396*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzjvuzhzhhbuzbzzv. What is prob of picking 1 v, 1 z, and 1 u?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 312*i**2\/5 + 1222*i\/5 + 912\/5.\nAnswer: 2*(i + 1)*(i + 3)*(i + 152)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093288 rounded to five decimal places?\nAnswer: 0.00933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (51 + 2)*-2 + -2. Let m be (-516)\/x + (-4)\/(-18). Suppose 0 = -m*j + 73 - 3. What is the least common multiple of 12 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1444 + 3354. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 459, 952, 1619, 2460?\nAnswer: 3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -4. Suppose -4*f = v - 50. What is the second derivative of 16*t**f - 35*t**3 + 13*t + t**3 wrt t?\nAnswer: -108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 13. Let v(h) = -4*h**2 - h + 14. Calculate 2*v(l) + 3*x(l).\nAnswer: l**2 - 2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -61*l + 731 + 49 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 41. Suppose 4*c + 42 = 5*v - 7*v, 3*c = -2*v - 29. Let j = c - n. What is the remainder when 18 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c + 5*g = 0, 2*c = -5*g. Suppose -5*u = b - 470, c = b - 1 + 6. What is the highest common factor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/2 - 95980563*k\/2 - 47990282 = 0.\nAnswer: -1, 95980564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 40. What is the third smallest value in 0.01, -3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -3, 2 in increasing order.\nAnswer: -3, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49113.8 rounded to the nearest 100?\nAnswer: -49100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 0.5 in descending order.\nAnswer: 0.5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hereerwereee. What is prob of sequence erw?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t + 53. Give x(-29).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 54. Let d(t) = 8*t - 54. Let s(k) = -3*d(k) - 4*g(k). Let o be s(15). Suppose -217 = -o*i + 119. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 7688.\nAnswer: -45\/7688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335195, -335209, -335237, -335285, -335359, -335465, -335609, -335797?\nAnswer: -336035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*p - 79*p - 30*p)*(-2 + 6 - 2) in the form t + q*p and give q.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 4, x: 5}. Give prob of sequence xbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27077 and 5.\nAnswer: 135385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + o + 4, 47 = -3*o + 35 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 4, h: 9, l: 1}. What is prob of sequence el?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8170 = -9*j. Suppose -k - 5*g = -416, -3*k - 5*g + j = k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -293\/5. Let m = 6 + -6. Suppose 2*i - 3*i + 1 = m. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - v = 0, 2 = 5*j - 557*v + 560*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 382\/(-14) + 233\/((-270746)\/(-332))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/20 + 48\/10. Suppose -h*w = -5 - 5. Find n such that -2 + 2*n**3 - 4*n**3 - 3*n + 2*n**w - 3*n + 8*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -177. Let t(y) = y**3 + 7*y**2 - 11*y + 34. Let h be t(-7). Let o = h - n. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 22. Suppose -4*c + a = -2. What is the units digit of (-2)\/c + 174\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.0314\nAnswer: -0.3454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -103079*b. Let r(h) = -5*h. Calculate r(i(n)).\nAnswer: 515395*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a**3 + 5\/12*a**4 - 5 + 3*a + 2*a**2. Let c(g) be the first derivative of x(g). Find the first derivative of c(p) wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1011 in 3, -1\/17, 0, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 856, 1682, 2508?\n\"Answer: 826*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1302 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/35*(-7)\/(-2). List the prime factors of m\/9 - (-92)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/9 - 229190*h\/9 + 50932 = 0.\nAnswer: -114597, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20050709?\nAnswer: 7, 677, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*m + 6*m. Let r(q) = -q + 10. Let n be r(11). Let f be n\/6*(-3 + -1). Is m bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 133*y. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 35*r + 25. Let h(d) = 2 + 38*d + 46*d - 123*d + 42*d. Calculate -2*b(j) + 25*h(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130) - -1*sqrt(130)))\/((sqrt(70) + 2*sqrt(70) - sqrt(70))\/sqrt(7)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(105\/6 + -2). Suppose 2*o - d - 33 = 0. Let j = o - 2. Calculate the greatest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/54*4\/(-3). Let g = -398.6 + 397. Is x greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in 1, 1\/7, -2\/7, 3, 2\/11, -165?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 29. Suppose -4*n - 4*j + 136 = -52, 206 = 4*n - k*j. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 19\/19. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**5 + 1355*k**4 + 405*k**3 - 109755*k**2 = 0.\nAnswer: -9, 0, 9, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0*b**5 - 34\/21*b**7 + 0*b**2 + 14\/3*b**3 + 0*b**6 - 3*b + 19 + 0*b**4. Find the second derivative of l(p) wrt p.\nAnswer: -1360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1*q)**(2\/21)\/(q*q*q\/q**0)**15 assuming q is positive.\nAnswer: q**(-313\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 9426\/(-1910)) + (-9 - 0) + 1 and 37\/5.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 + 7152*f**3 - 4303384*f**2 + 989157360*f - 76513092100 = 0. What is f?\nAnswer: 199, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2216 - 48605?\nAnswer: -51822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-252)\/(-27))\/(-7))\/((-92)\/(-6)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15700 and 632396?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 16. Let a be v(-5). Suppose -3*w + 12 = -a. Solve f - w = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 97576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 36. Suppose 5*w + 2*f = -3*f + 45, -3*f = w - 17. Sort -2, d, w in increasing order.\nAnswer: d, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 7. Let u be y(6). Let w be -5*((5 - 3) + u). Let k = 0.3 + -0.4. Which is the third smallest value? (a) k (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*24\/(33\/11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*n + 115*n + 327586 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11.00000044. What is w rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:40 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*(-5)\/(-15)*(6\/(-6))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 8*p - 1\/12*p**4 - 2 - p**2 + 5\/6*p**3. Let g(i) be the first derivative of k(i). What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480 + -682. Let j = 0 - x. Suppose 3*s - 5*z = 169, j = 4*s - 0*z - 2*z. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, 13, 8, -2 in ascending order.\nAnswer: -27, -2, 1, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*k**2 - 388*k**2 - 408*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 74\/3. Which is the second smallest value? (a) -15 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*i - 16 = 7*m, 4*m - 2*i - 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(76)*-5 - sqrt(76) - sqrt(76))*-3)\/(sqrt(40)\/sqrt(360)).\nAnswer: 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -32 - -35) + 0 + -2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(-2 + sqrt(300)))**2 - ((sqrt(300) + sqrt(300)*-2 + sqrt(300))*-6*-3)**2)*5.\nAnswer: -7200*sqrt(3) + 54695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10390206.\nAnswer: 2, 3, 1731701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 134*(-5 - -6) + -1. Suppose -137 = -0*s + s + 4*u, s + 3*u = -b. Round s to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 140. Let i = -4 - -10. Calculate the least common multiple of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 2*t - 1. Let u be q(2). Let j = u - 11. Suppose -36 = -2*m - 4*c, j*c = -2*m + c + 31. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 48.2?\nAnswer: 48.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 5*x + 10, -5*x - 20 = 0. Let t = n - -4. What is the remainder when t is divided by ((-10)\/(-4))\/(1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/301, 1\/5, -2 in descending order.\nAnswer: 1\/5, 2\/301, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 8*c**2 - 8*c - 2. Let g be j(4). List the prime factors of 1\/5 - 0 - g\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*m + 510681, q + 1531979 = 9*m - 0*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u**3 + 0*u**4 + 0*u + 3*u**2 + 0 + 7\/30*u**5. Let l(z) = z. Calculate l(o(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -25*s**4 + 47*s**3 + 31*s**2 - 47*s - 6 = 0.\nAnswer: -1, -3\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*i - 23, 0 = 4*s + 4*i - 10 + 34. Let d = -11 + 15. Let q = d - 4.5. What is the closest to -0.2 in s, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 10*p + 11. What are the prime factors of l(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 - 6. Let r = -9999 - -9998.24. Which is the nearest to 1\/2? (a) -1\/4 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7011 - -9?\nAnswer: -7002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272734, -545464, -818184, -1090894, -1363594, -1636284, -1908964?\nAnswer: -2181634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 - -748\/5. Suppose -l + 2*g = 6, g = -2*g + 15. Suppose f + 9 = -z + 4*z, 3*f - l*z = -7. What is the nearest to f in 2\/17, o, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - sqrt(117))**2*1 - (sqrt(13) + (sqrt(637) + -2)**2))*3.\nAnswer: -2079 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -38\/5 and -1087922 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 62*q**2 + q - 18. Let c be b(31). Suppose 0 = 2*l + r - 9, -3*l = r - c. Solve 0 = -8*y + l*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*n**3 - n**2 - 5498*n wrt n?\nAnswer: 336*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 + 3 - 4 - 8*r**3 - 5*r**2 - 2*r. Suppose 3*o + 29 - 5 = 0. Let s be 4\/o*(-2)\/(-1). Calculate t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*q + 211 = 195, 0 = -2*u - 5*q - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47025986387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51593 and -345.\nAnswer: 17799585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/33, -5\/3, -5\/6?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317791 is divided by 656.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-2) - (-90)\/(-180).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 85*y - 1704 = 261*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1670*a + 38432. Calculate p(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31091 - 364.2?\nAnswer: 30726.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*z - 12 = -0*z, -z = -3. Suppose -3*w - 3*p = 9, 3*w = -2*p - k*p - 13. What is the remainder when 1 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + 6*r**2 + 14*r + 48. Let w(f) = f**3. Let l(v) = m(v) + 6*w(v). Let n be l(-5). Let o(x) = x**3 - 5*x**2 + 4*x + 1. Give o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 168*l**3 - 2*l**2 - 8*l + 3. Let y(d) = -d**3 + d**2 + 2*d - 1. Determine h(g) + 4*y(g).\nAnswer: 164*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-54)*(1 + -4). What is the common denominator of -3 - t\/20*-31 and 35\/218?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.67 + -0.67. Let h = -38 - -41. Let r = -12.3 - -12. What is the fourth smallest value in 12, r, h, q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-297)\/(-21) + (-2)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m. What is k(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d + 32. Let x(m) = -1. Let p(n) = -i(n) + 5*x(n). Let t be p(15). Suppose 0 = 5*f - 7*c + 4*c - 310, c - t = -2*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u + 3*i, i - 3*i = u + 2. Let l = 3\/8 - 1\/24. Determine z, given that l*z**3 - 1\/3*z**5 + 0 + 0*z + 0*z**u + 0*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -866, -1300, -1736, -2174?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(25\/(-280) - (-2)\/(-7)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w. Suppose w = -6*h + h - 30. What are the prime factors of (22\/h)\/((-1)\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -25 + 51 + -100.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 2 + (sqrt(52) - sqrt(104)\/sqrt(2))*-3)**2*5 + 2.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r + 4. Let c be s(3). Suppose 9*b = 2273 - 491. Suppose 5*w + b = 5*v + 528, -w + 5*v + c = 0. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**6 + 13\/2*p**3 + 0*p + 0*p**5 + 23 - 3\/7*p**7 + p**2 + 0*p**4. What is the first derivative of z(c) wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-121)\/7 - (-10)\/(-35). Suppose 4 = -3*l + d. Suppose 0 = i - l*y - 141, -i + 255 = i + y. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 98, 1 in increasing order.\nAnswer: 1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4 - 160*p**3 + p**2 - 9181*p?\nAnswer: -60*p**2 - 960*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103032, -206161, -309290, -412419, -515548, -618677?\n\"Answer: -103129*z + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -223, -340, -477, -640?\n\"Answer: -p**3 - p**2 - 93*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13*0.2\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17646507 (base 8) to base 5.\nAnswer: 2030223201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:31 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 9\/2 + 11\/2*x = 0. Calculate x.\nAnswer: 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 3. Let x(d) = -4*d - 2. Let m(t) = -21*t - 11. Let j = 3204 + -3206. Calculate j*m(b) + z*x(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*a - 215, 15*y - 13*y + 5*a - 160 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 9014815393?\nAnswer: 9014815386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 4 (c) 0.185 (d) 1\/4 (e) -0.5 (f) 15\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Sort 0, 18, 3, -20 in increasing order.\nAnswer: -20, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*m**3\/7 - 1142*m**2\/7 + 8*m\/7.\nAnswer: -2*m*(m + 4)*(143*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 488872*y + 33261792.\nAnswer: -4*(y - 122286)*(y + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -365?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + -4 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/42)\/(5\/15*3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075*w**2 + 2*w - 2*w - 8510*w**2.\nAnswer: -9585*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*1)\/sqrt(4))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4633*n - 3. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490123763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.327 and 28861.\nAnswer: 9437.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4*v - 3*v - 4)*(-4 + 1 + 1).\nAnswer: -2*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.522 - -0.0155?\nAnswer: 3.5375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*-2*sqrt(1900)*3)**2.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 665 - -1485. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120 + (1 - -1)\/2. Suppose 4*z - 2*t + 326 = 0, -4*z - 358 = -3*t - 31. Let g = z + f. What is the highest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(600)*3))\/((sqrt(60) - sqrt(300)\/sqrt(5))\/sqrt(6) + (sqrt(160) - 2*sqrt(160)) + sqrt(10))*4.\nAnswer: -2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -6.4, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -3, -6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p. Let f(n) = 325*n - 10. Let c(w) = 5*b(w) - f(w). Let k be c(-8). Round k to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s - 6. Suppose 0 = -2*v + c - 12, 2*c + 32 - 11 = -5*v. Let j(y) = -8*y + 5. Determine v*w(q) - 6*j(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 9:16 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(891) + -3)**2.\nAnswer: -54*sqrt(11) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 693, 693, 683, 657, 609, 533, 423?\n\"Answer: -c**3 + c**2 + 4*c + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 4, 1, 0.16, 0.081?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -173 - -24b6?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 325, 1270, 3127, 6202, 10801, 17230, 25795?\nAnswer: 36802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 8317?\nAnswer: -832a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -131 (b) 6 (c) 0 (d) -2\/201 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, -3, -16, -33?\n\"Answer: -2*o**2 - 3*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74109978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -145a?\nAnswer: 145a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 175665, 351341, 527015, 702687, 878357, 1054025?\n\"Answer: -a**2 + 175679*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**2 + 3*c + 1. Let w = 344 - 331. Let q(f) = f**3 - 12*f**2 - 12*f + 13. Calculate the remainder when n(-3) is divided by q(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.281172 days?\nAnswer: 542693260800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4*q - 7*q)*(-10 - 14*q + 11*q + 27) - 1 + 1 + q**2 to the form u + j*q + g*q**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s - 8. Let d = s - -7. What is the remainder when d is divided by (-1)\/5 + (-22)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let g(x) = 3*x**2 + x - 7. Let w be g(7). Let m(l) = w + 11*l - 296 + 149. Calculate m(a(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 4*y + 112 - 122, -1 = -2*o - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 62 = -38. Suppose -20*p - 96 = -a*p. Suppose -p = -y + 4*t, -10 = 3*y - 8*y - 2*t. Solve 0 = 5*i - 6*s + y*s, -s = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 l, and 1 v when four letters picked without replacement from {v: 1, j: 1, l: 2, s: 11}.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.112 + 7.112. Let r = -0.3 - -0.43. Put r, h, 1, -0.5 in increasing order.\nAnswer: -0.5, r, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*d**3 + 2*d**4 - 4*d**4 - 3*d**4.\nAnswer: -5*d**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let w(f) = f - 3. Let s(n) = 1. Let d(m) be the first derivative of 2*m - 7. Let p(z) = 2*d(z) - 3*s(z). Calculate i*w(c) + 2*p(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219429\/7 - 2*-5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30122462 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161882405.\nAnswer: 5, 53, 610877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -4 - (-2 - -3) - (-3 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-9) + (-2)\/(-6). Let j(i) = i**2 + i - 345. Let y be j(20). Calculate the greatest common divisor of u and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2155 - -3084. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.70218 to 2 dps.\nAnswer: -49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103.2 + 103.6. What is the second smallest value in k, 10\/11, 4, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26390000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/171 - 434932\/1135*(-4)\/912\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 90 - 47*k**2)*(4 + 1 - 1 - 2*k).\nAnswer: 94*k**3 - 188*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 9*q + 1. Let w be z(3). What is the third biggest value in -3, w, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2595, 2597, 2601, 2607, 2615, 2625?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/508?\nAnswer: -13\/508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -248*q**3 + 56*q**2 - 56*q - 56. Let y(j) be the second derivative of -13*j**5\/20 + j**4\/4 - j**3\/2 - 3*j**2\/2 - 2515*j. Determine 3*h(d) - 56*y(d).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-772)\/(-8) - -2. Round r to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81103, -1, 7, 0, 8 in descending order.\nAnswer: 81103, 8, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 21308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 21*v**5\/10 + 8*v**3 + v**2\/2 + 2*v - 13. What is the second derivative of b(g) wrt g?\nAnswer: 252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(17 + -15) + (-2599 - -4). Is -2598 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.39 + 4.61. What is the closest to -1 in i, -2, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(8) + sqrt(8)*-4) + 5 - (-4 + ((sqrt(54) - sqrt(270)\/sqrt(5))\/sqrt(3))**2).\nAnswer: -sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202156561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20500173*a**4*v**2 + 3*a**2*v**2 - 2*a*v**2 + 4977*v - 18 wrt a?\nAnswer: 492004152*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77.5 and -111.91.\nAnswer: -189.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 568507*c - 568506.\nAnswer: -(c + 1)*(c + 568506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(891) + (-3 + -3 + sqrt(891))**2)*-4).\nAnswer: -396*sqrt(11) + 3709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 757509.4 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21090, -235, 3.\nAnswer: -21090, -235, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20391603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/12 - 4*f**2. Let q(a) = -3*a + 11. Let p(s) = -s + 4. Let k = -110 - -121. Let t(d) = k*p(d) - 4*q(d). Give t(b(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/6120 and 35\/105264?\nAnswer: 526320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 266\/49*10\/(-24) and -73\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77061, 77080, 77103, 77124, 77137, 77136?\nAnswer: 77115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35 - -1 - -9*(-12)\/(-54). Solve -9*a = 2 - u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001072045 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -177. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*r + 39, m - r + 0*r - 13 = 0. Suppose -5*s = -m - 2. Let y be (-4)\/(-6) - (-20)\/(-12). Put y, 7, s in increasing order.\nAnswer: y, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/18)\/(1\/(-3)). Find the first derivative of -a - a + n + 2 wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from vdfffvvffffbddfffdv?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, 5, -2, -17, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let l(c) = 10276*c + 2 - 3 + 5 - 5145*c - 5134*c. Give l(k) + 6*s(k).\nAnswer: -9*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*u + 4, -2*n - 2*u + 4 = -0*n. Let m be n - (2 + 1*-3). Let w(z) = -32*z - 1. Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190097466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536369, 536379, 536389?\nAnswer: 536399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*z + 34*z + 315. Suppose n - z = -6*n. Solve -3*a - n = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Suppose -4*c = -0*o - 2*o - 8, o - 4 = -2*c. Let m be -2 + (-1)\/3*o. Let t be k(m). Solve -t*g - 3 = 3*q, -3*q + 7*q = 5*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1 - 3*b**2 - 2*b**2 + 6*b**2 + 6*b**3 + 0. Let p be o(-1). What is the common denominator of -113\/6 and 3\/(-6)*(-236)\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 41399314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 4*y. Let t be f(-4). Let o be 0\/(-2) - (-6)\/t. Let q = -103.7 - -104. What is the closest to q in o, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -795.8+-25.9\nAnswer: -821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -62613236.\nAnswer: 62613236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 16*f + 10. Let m be a(5). Solve 1 - m = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)**39*i**(-4)*i*i**(2\/13))**44 assuming i is positive.\nAnswer: i**(65296\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 + 153. Let h = -19 - -18.9. What is the nearest to d in 6, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*m**2 + 675*m**2 - 2658*m**2 + 666*m**2 + 645*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 50*f**2 - 94*f + 440. Let u(l) = 31*l**2 - 63*l + 293. Calculate 5*g(b) - 8*u(b).\nAnswer: 2*b**2 + 34*b - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 - 3*f**5 + (f + 0 + 0)*(4*f**4 - 2*f**4 - f**4) + 209*f + 25*f**5 - 209*f.\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1336, 1\/4, -0.2, 2 in decreasing order.\nAnswer: 6, 2, 1\/4, -0.2, -1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/5)\/6)\/((-1)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83353320 a multiple of 2049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:04 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 184, 275, 366, 457, 548?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5735816 by 2867908.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l - 2*l + (-3*l + 0*l + 0*l)*(8 + 8 - 7).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -100?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -7.4. Let s = 6 - i. Let w = -0.14 + -0.36. Sort w, s, 0.5 in descending order.\nAnswer: 0.5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757 by -1.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c. Suppose 0*y - 29 = -4*j + 5*y, -2*j + 5*y = -27. Is u(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + 18.76. Let p = 757.24 + -739. Let c = p - i. What is c rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 - 170067*p**3 - 1190619*p**2 + 170067*p + 1190616 = 0 for p.\nAnswer: -7, -1, 1, 56696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:36 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5758199 + -69136423\/12. Let w = 3158 + x. Find the common denominator of -29\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241\/155 + -42\/31. Let q be 10\/(-15) - ((-20)\/12 + -1). Factor -o*f**q + 1\/5*f + 6\/5.\nAnswer: -(f - 3)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(-1)\/(-2)*(-40)\/(-60). Let c(r) = -r - r**3 + 6*r + 3*r**2 + 0*r**b - 7*r. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/(49\/49)*12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1217*y**2 - 2 + 1218*y**2 - 1 - 9*y**3 - 2*y**4 to d*y**4 + x + z*y + v*y**3 + o*y**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2774.4 - 2774. Which is the biggest value? (a) -0.4 (b) h (c) -419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.1, 44.4, 2?\nAnswer: 44.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**3 + 123*z**4 - 28*z**3 - 34 + 23*z**3 with respect to z.\nAnswer: 492*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 2*p**2 + p. Let c be g(-1). Let k be (-182)\/(-7) - (-4)\/(-2). Let x be (k - -1) + c\/4. Solve 3*r - 3*d - d = x, d = -4*r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1487634 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 65?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*j + 4*j - 17692, 0 = -4*f + 5*j + 70742. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -664*t + 13276. Calculate w(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16555 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 1535*s**2 + 151475*s - 4856745.\nAnswer: 5*(s - 141)*(s - 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -121?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 543?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 53. Let t be o(-9). Let r = -4 - 1. Sort -14, t, r.\nAnswer: -14, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 701*p + 844*p = -s + 13908, 3*s - 2*p + 45 = 2*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-87)*(3\/2 - 1). Let s = 110\/87 + y. Factor s*c - 2\/3 - 2\/3*c**2.\nAnswer: -2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-136) + 4\/34. Let k(o) = c*o - 9*o + 15*o + 4*o. Calculate k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -370 - -352.7. Let v = -8.5 - s. Let i = 8.89 - v. Round i to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 110*q - 129*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/199 >= -3\/18778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - j = m + 15, 0 = -m + 3*j + 25. What is the tens digit of m\/4*(0 - -30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 234, 5 in descending order.\nAnswer: 234, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j - 5. Let f be q(-3). Let u be (-241 - -1)*1\/f. Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/16 - -3)*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 1115*v = 0. What is v?\nAnswer: 0, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 567757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/39 + 2*11\/(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*o - 174488 = -o, 87242 = 2*l + 4*o. Suppose l = 12*q - 18069. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-363)\/(-90) + -4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1761*f + 49 - 263*f - 28 - 21.\nAnswer: 1498*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u**2 - 11*u - 12. Is f(4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -68.9. Let x = o + -4.7. Let d = 2.80139 + x. What is d rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -1, 6\/11, 0.04?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 6, 1, 0.07, -3, 8, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 357\/39 + 4\/(-26). What is the units digit of (v\/(-27))\/((-2)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*h - 17 = 0, -1959 = 2*s + 2*h - 1969 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((3078\/(-9))\/6)*(-8)\/(-4)?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s - 23. Determine q(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665860 divided by -5?\nAnswer: -2133172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109784584 by -13.\nAnswer: -8444968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68879 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 12. Let c be n(4). Suppose 5*u + 4*a = 29, c = 2*a + a - 3. Solve 5*s - k + 29 = 0, -14 - 7 = u*s + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 - 0.1. Let b be 1 + (-237)\/18 + 1\/(-3). Let n = 12 + b. What is the closest to n in -4, s, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.304862 nanoseconds to minutes.\nAnswer: 0.0000000003217477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/(-147) + 10231\/7. Let y be r\/6 + 11\/33. Let n = y + -101. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 13*c**2 + 3*c + 13. Let i be g(13). Solve -12*h + 8 = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 410*a**3 - 34772*a**2 + 997510*a - 9256971 = 0.\nAnswer: 23, 57, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 = 9. Let r be ((-7)\/3)\/(287\/(-246)). Calculate the highest common factor of a and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.169 - -0.169. Let l = -15.03 - d. Let z = 0.07 + -3.07. Put l, z, -2 in decreasing order.\nAnswer: l, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15394 or 15390?\nAnswer: 15394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/60 + h**5\/60 - h**4\/24 + h**3 - 21*h**2. Let p be a(0). Solve -3*v - 6*u - p = -u, 0 = 4*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20301 (base 11) to base 6.\nAnswer: -345130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.054 - 0.112. Let g = -0.058 - h. Let z(w) = -w + 3. Let v be z(3). Which is the nearest to g? (a) -1\/5 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 3*j + 3. Let o be u(-2). Solve r = -o*v + 9, r = -5*v + 6*v - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 14 = 5*b - 2*f, 5*f = -2*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130976.\nAnswer: 2, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:39 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let f(u) = 3*u**3 - 16*u**2 - 2*u. Let m(o) = -f(o) - 2*w(o). Let t(l) = -l**2. Let g(c) = -m(c) + t(c). Find the third derivative of g(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 673 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 32*q + 135. Calculate the remainder when 211 is divided by p(-32).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 2.58. Let w = a + -0.5. Suppose 8 = -5*r + 3*f, 0*r - r + 4 = 5*f. Sort -5, r, w in decreasing order.\nAnswer: r, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-3) + 4\/(-12). Suppose -2*i + 8*i - 102 = 0. Let t = i - 21. What is the closest to 2\/7 in k, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20\/7 (b) 4 (c) 3\/34 (d) 3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277249750 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (2 + -1)*1. Suppose 3*n = -m*q - 0*n - 226, -4*n = 2*q + 230. Let v = q - -431\/4. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**2 + 1. Let a be q(-1). Suppose -4*p = -5*i - 4 - a, 0 = 4*p + 4*i + 4. Let u(g) = 26*g - 1. Is u(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 277*v + 1957. Give a(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1552 (b) -0.4 (c) 1 (d) 2\/19 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2905 = 3*y - 8*y. Let h = 1063 - y. Suppose 4*j = h + 338. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2)\/((-4)\/42). Let y = h - -29. What is the lowest common multiple of 3 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1834\nAnswer: 3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 2*a**2 - 5*a - 6. Let c be t(-2). Solve 2*m + 18 - c = 2*q, q = 5*m + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83215619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + p = 0, -2*j = -7*j + 2*p. Suppose j = 2*s - 7501 + 1055. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78657531 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161908 by -40477.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/8 - 2*a**2. Let h be x(-4). Let l be ((-12)\/(-8))\/(6\/8). Solve g + l - h = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 85 (b) 1\/6 (c) 0.08 (d) -1.559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 5*w**2 - 6*w**4 + (0 + 0 + w**2)*(3*w**2 - 2*w**2 - 2*w**2) + 16 - 16 - 7*w**4.\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112121 - -1200122?\nAnswer: 2020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*q**2 + 75*q**2 + 94*q**2 + 74*q**2.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 8. Let h be (-57)\/(0\/y - -4). Let t = -18 - h. Find the common denominator of t and -107\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/2)\/3*770\/539?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:43 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6393.958 millilitres in litres?\nAnswer: 6.393958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 3*h**5 + h**5 + (h**3 - h**3 - h**3)*(h**2 + 4*h**2 - 2*h**2) - 3*h**5 - 3*h**5 + 5*h**5 + 2*h**5 + h**5 - 5*h**5.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 441 - 2889 = 0. Does 51 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*b + 21, 4*b + 0*b = 2*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65475 - 65274.0376. Let p = q - 201. Round p to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17253\/(-9))\/(-9) + 7. Let h be 20\/3*(-264)\/(-20). What is the greatest common factor of s and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-525)\/(-105) - ((-156)\/(-99) + -1). Let u = -287\/132 + q. Let u*k**2 - 3\/2*k - 3\/4 = 0. Calculate k.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*v**3*w**3 + v**3 - 225*v*w**2 + 3*w**3 wrt v?\nAnswer: 882*v*w**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + (-8)\/6. Let j(f) = -f - 4*f - f + 5*f - 2*f**2. Determine j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/61 (c) 6\/5 (d) 5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*l - 125*l + 91*l = -6500 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14993 is divided by 250?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -182. What is the closest to 0.2 in 0, 2, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2118.23 - 2118. What is the second biggest value in -0.3, 2\/59, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**30*r*r*r**(-21))\/((r**35*r)\/(r**35\/r)) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 - 315?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(119)\/sqrt(7) + 1).\nAnswer: -6*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 27*s - 157. Determine x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.1. Let w = 69.6 - 52.8. Let d = 16.6 - w. Which is the smallest value? (a) d (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542635031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*1*-6 - (sqrt(1900) + sqrt(1900) + 1)*5) + (-3 + sqrt(1216)*1 - 3*-1*sqrt(1216)).\nAnswer: -128*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 2. Let n = 5 + -8. Let a be s(n). Suppose -82*p - 5*k - 40 = -78*p, p + 2*k + 19 = 0. What is the greatest common divisor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (((sqrt(130) + sqrt(130) + (sqrt(130) + sqrt(130)*1 - sqrt(130)))*1 - sqrt(130))*3)\/(-6*(sqrt(40) + sqrt(10) - sqrt(10))*4) + 4)**2.\nAnswer: -12327\/64 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172596 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 405, -16, 2, 25 in ascending order.\nAnswer: -16, 2, 3, 25, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 1 - (-34 + (26 - 5)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22563 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 3. Let z be n(-5). Let w = 4 + -7. Is w bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 9*w + 5. Let z be u(-10). Let h be (-3 - (-73)\/z) + -2. What is the third biggest value in h, 0, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 13. What is the remainder when 23 is divided by c(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from {m: 5, w: 2, k: 9}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24463 + -24461. Which is the closest to -414? (a) 5 (b) 4 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from dkkkfdki.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -3, 24, -633 in increasing order.\nAnswer: -633, -6, -3, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*j = -t - 202, -4*t + 396 = -2423*j + 2420*j for t.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-70)\/(-245))\/(2\/(-42)) + 1336\/161. Does o = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.8 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010434 (base 5) in base 8?\nAnswer: 270436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 + 5*n**2 - 5*n**2)*(-3 - 1 + 3) + 1159 + 1261 - 2532 - 4*n**2 as r + i*n**2 + v*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = 2*w + 12*w - 365 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/(-84))\/8*7938\/(-735)\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 273 - 91. Let x = -30 + h. Let j be 24\/(-4)*3\/x. Solve -7*m + j*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 + -8 - (1 + -11)) + -3 + -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 0.2, 0 in ascending order.\nAnswer: -5, 0, 0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/19)\/u*u)*u*u*u*(u**(-13)*u)\/u)\/((u*u**(-9))\/(u\/((u*u*u*u**0*u*u)\/u))) assuming u is positive.\nAnswer: u**(-74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 94. Suppose 2*o - 2*q - 28 = -0*q, 3*q = 3. What is the least common multiple of g and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225601933 is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - x - 3*x + 2*x + 30. Let j be p(-25). Let d be (-9)\/j + (-9)\/36. Sort d, -2, 5, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1521, -6106, -13757, -24480, -38281, -55166?\n\"Answer: -w**3 - 1527*w**2 + 3*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 4 - 4*j**4 + 3 + j + 4 - 4 to the form h*j + p + x*j**4 + g*j**3 + d*j**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -1\/2*u**4 + 0*u**2 + 0*u**3 + 3 + 2*u. Differentiate w(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1470))\/(-1*sqrt(384)) - ((1 + sqrt(125))*4*2)**2) + 1.\nAnswer: -8063 - 2567*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 1 = 24*i. Let v(p) = -3*p**2 - 4*p - 4. Let a(h) = -h**2 - h - 1. What is i*v(y) - 4*a(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 + 352. Let x(n) = 17*n + 9029. Is x(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - 2*o)*(9 + 2 + 0)*(-3*o + 4*o - 3*o)*(0*o**2 - o + o**2 + 0*o).\nAnswer: 44*o**4 - 44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*17\/(-34).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*q - 88*q - 12 = 0. Calculate the lowest common multiple of q and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31403264, -31403266, -31403268, -31403270, -31403272, -31403274?\n\"Answer: -2*p - 31403262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -0.65861614.\nAnswer: 1.34138386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p + 4 + 17*p**2 - 18*p**2 + 7*p + 2*p - 10*p**2 to c*p + j + a*p**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/10 (b) -0.4 (c) -5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 121 = -8*p. Let f = p - -176. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:44 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123230, 246472, 369714, 492956, 616198?\nAnswer: 739440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/9 + 734*g**3\/9 + 1510*g**2\/3 - 19862*g\/9 - 104440\/9 = 0. Calculate g.\nAnswer: -7, -4, 5, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**3 - 3*k**2 - 6*k + 4. Let o(v) = -4 + 3 - 11*v + 17*v - 5*v. Give -4*o(q) - s(q).\nAnswer: -6*q**3 + 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + p - 1. Let o be q(1). Suppose o*t = t + 42. What is the least common multiple of 52\/(-130) + 104\/10 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + t**5 + t**5 + (3 - 3 + 1)*(-3*t**5 + t**5 + 4*t**5) - 28*t**3 + 28*t**3 + 18*t**5 + (-3*t + 2*t + 3*t)*(-4*t**3 - 2*t**4 + 4*t**3).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642879139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248736272?\nAnswer: 2, 15546017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-1)\/15). Let v be (-3 + -1)*g\/(-4). Suppose 4*d - r + v*r = 328, d - r = 84. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/779 - 31923\/6232. Find the common denominator of t and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, -15, -2, -4 in ascending order.\nAnswer: -15, -7, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 264 + 40. Let i be (-7)\/(1 + m\/71). Let l = i + -99. Which is bigger: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1875688, -3751308, -5626930, -7502554, -9378180?\n\"Answer: -u**2 - 1875617*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 1427275\/11275 + (-4)\/(-11) + (-2)\/(-41).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 21. Let f = -9.8 - v. Let q = 17.79858 + f. Round q to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 1016\/17. Suppose 9*x - 5*x = -4. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = x - 72, 3*x + 16 = 2*h. Let y = 25 - h. Let t(v) = 7*v**2 + 5*v**2 - y*v**2. Let u(b) = -9*b**2. Calculate u(t(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 9 - (-7 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100725\/(-9850))\/(-237)*(-8)\/(-34).\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827 is divided by 2827.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -0.03.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 106223*a\/5 - 700854.\nAnswer: -(a - 106190)*(a - 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469266 is divided by 494?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872921?\nAnswer: 3, 41, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 + 104*j**2 + 16*j - 12. Give t(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 11241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15483 + 2.15483. Let z be -4*(-10)\/(-12) + 3. Which is the closest to z? (a) -0.3 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(45\/(-27))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525 = -339*l + 643*l - 329*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:33 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56579 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 322*h - 320*h + 614*h)*((1 + 2 - 2)*(2*h - 2*h + h) - h + 2*h + h) to the form d*h + b + i*h**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w + 4. Let f be a(-5). Let r = f - -71. What is the remainder when r is divided by 38\/3 + (-8)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l + 8*l**3 + 10*l**2 + 4 - 6 + 2.\nAnswer: 2*l*(l + 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 + 409*a - 1259. Determine v(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125079 or -124912?\nAnswer: -124912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.867 - 0.767. Sort 0.014, -0.06, c, 1\/5 in increasing order.\nAnswer: -0.06, 0.014, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640.3 plus -1838?\nAnswer: -197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/8, 56, -2, -151, 1 in descending order.\nAnswer: 56, 1, 1\/8, -2, -5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:52 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + 4 - 4 - m**3 + (m**2 + m**2 - m**2)*(3*m + 2*m - 3*m) + (-125*m + 125*m + 35*m**2)*(-3*m + 3*m - 2*m) - m**3 - 3*m**3 + 5*m**3.\nAnswer: -68*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/24 + 13*l**5\/20 - 5*l**4\/8 + l**3\/6 - 27*l - 1. Let h(w) be the second derivative of j(w). Factor h(y).\nAnswer: -3*(y - 5)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10\/9, 2\/3, 0.3, 13, 773.\nAnswer: -10\/9, 0.3, 0.4, 2\/3, 13, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:58 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -40, -87, -144, -205, -264, -315?\n\"Answer: a**3 - 14*a**2 + 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 0, 6*k + 1 = -4*a + k. Let y(t) = 6*t**3. Let j be y(a). Suppose -u - 4*r = -r - j, 2*u - 34 = 5*r. Solve -9*l + 5*l = u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92718 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100717.4 - 0.27\nAnswer: -100717.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:25 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Let x(p) be the first derivative of -1\/5*p**5 + 0*p**2 - 1 + 0*p + 0*p**3 + 1\/4*p**s. Let x(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 34*s - 35. Let l be q(-10). Let i = l - -471. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 51*g**2 + 677*g + 16 - 27.\nAnswer: 51*g**2 + 677*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/1349, -1, 1, -3, 46\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let s(b) = -4*b + 2. Let v(g) = -10*q(g) + 5*s(g). What is the derivative of v(l) wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 63a?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 6)\/(1 - 3). Suppose -3*y - 21 = -c, 2*y + 19 = c - j*y. Solve 5*k + c = 5*f, 3*f - k = -5*k - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let f(r) = -2*r + 3. Let d(h) = -3*a(h) - f(h). Let q be d(-5). Is q equal to 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -180, -405, -720, -1125, -1620, -2205?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1426*s**2 + 7093*s - 16. Determine t(-5).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, u: 2, l: 4, z: 2, n: 5}. Give prob of picking 1 z and 3 l.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/307, 2, 1\/4, 2\/15, 84\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -42.42, 0, -6\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*c - 2*c + 3*h, c + 5*h = 24. Let 4 - 4*m**3 - 2*m**3 + 16*m**2 + 0*m**3 - c*m = 0. Calculate m.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2895*r + 2898*r = 3. What is the nearest to 2 in -5, r, 5\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161678057*r**3 + 459468*r**2 + 3*r + 5?\nAnswer: 970068342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o - 17. Let d be v(-7). Suppose 2*p - 290 = 3*t - 5*t, d*t + p = 580. Let w = t + -80. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3201390.\nAnswer: 2, 3, 5, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -8 - 5 + 1 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 24*s + 385. Let r be w(11). Suppose 26*m - 22*m - 9748 = r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:46 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4455*b - 696*b + 2901*b.\nAnswer: 6660*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 + 11*j - 9. Let u be k(8). Let n = u + -8. Let y be 1\/(4*5\/(-60)) - -80. What is the highest common factor of y and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let c(n) = 38*n - 14. Let h(m) = 2 - 11*m - 2*m + 3. Let y(t) = 5*c(t) + 14*h(t). Give o(y(r)).\nAnswer: 128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10 - 3 - 45*s + 129*s. Suppose -84 = 47*b - 272. Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + f. Let z be (45 - 40) + (-986)\/(-2). Suppose 0 = -35*h + z - 148. What is the least common multiple of g(-1) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -42379?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 1269 = -1006. Suppose 3*g = a - 2 + 193, 5*g = -5*a + o. Which is bigger: 63 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/10*(-1188)\/11664*-90?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 6. Let o be z(2). Find the second derivative of -22*c**3 + 2*c**3 + 171*c + 10*c**3 + 15*c**4 - 6*c**o + 6*c**3 wrt c.\nAnswer: 108*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-7\/3)))\/n**(-20))\/(n**(-2)\/n**(-8)) assuming n is positive.\nAnswer: n**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.0131662?\nAnswer: 0.00394986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316791 and 12?\nAnswer: 1267164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -70*y + 2. Let r be h(-2). Let t = r + -211. Let u = t - -102. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 62*q**2 - 7 - 64*q**2 - 14 to the form l*q + w*q**2 + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 + -93 + (0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + -0.15. Let p = 0.06 + 0.3. Let z = n - p. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 247880*s**2 - 4958400*s.\nAnswer: 2*s*(s - 20)*(s + 123960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-21) - 34\/102.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 16*r - 9. Let f be i(16). Let u be f\/4*(-96)\/(-9). Which is smaller: u or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 2*t + 122. Calculate b(10).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4666320 by -933264.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -261748433224 and 511.\nAnswer: -261748432713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/7 (c) -2.915 (d) -3\/29 (e) -2\/3 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**4\/28 + 13*k**3\/7 - 69*k**2\/7 + 96*k\/7 - 795. Determine r so that f(r) = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 52*l - l**3 + 2*l**3 - 4*l**3 - 53*l - 4*l**3.\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1008 + -1089.2. Let r = f - -80. Which is the third smallest value? (a) r (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 399366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {z: 2, j: 2, i: 1, k: 7, g: 1, l: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t**2 - 19*t + 30. Is z(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2238, 4460, 6668, 8856, 11018, 13148, 15240, 17288?\nAnswer: 19286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -20298a?\nAnswer: -202991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 2*c**5 - 3*c**5 - c**4 + 2*c**5 + c**4 + (4*c**2 + 2*c**3 - 4*c**2)*(0*c**2 + 2*c**2 - c**2) - c + c**5 + c + c**3 - c**3 + c**5.\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:01 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 12*i**2 - 9*i + 18. Let m be d(-11). What is the third biggest value in -0.014, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 14. Suppose -3*p + 12 = 33. Let n = y - p. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnoonmp. What is prob of picking 2 n?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801 divided by 9.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213337792 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -162, -1341, -4534, -10749, -20994, -36277, -57606, -85989?\n\"Answer: -168*b**3 + b**2 - 6*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4281 + 4284.946. Let f = -0.054 - d. Which is the nearest to 2? (a) -2 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**4\/3 - 11*v**2 - 14*v - 23. Let c(g) be the first derivative of w(g). Find the first derivative of c(p) wrt p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51900, 415563, 1402636, 3324825, 6493836, 11221375, 17819148?\n\"Answer: 51951*v**3 - v**2 + 9*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 442303399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 14?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57855227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*x**4 + 42*x**2 - 42*x**2 + 7*x wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 2*b**4 - 8*b**4 + 2 with respect to b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*d - 191*d + 468*d + 582*d.\nAnswer: 1066*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6.5. Which is the nearest to 0? (a) -3 (b) 1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232\/(0 + 8) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 17*h + 600. Suppose -l + h = -28. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 23 - 7)*(n**2 + 2 - 2)*(5 - 34 + 20)*(-5 + 5 + 4*n**2) in the form w*n**3 + g*n**2 + c*n + m + v*n**4 and give v.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 163. What are the prime factors of (-70 - 0)*((-72)\/h - 8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 7*h + 3*j + 27, 10 = 5*h + 4*j. Solve 3*v - 9 = h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526776 (base 8) to base 16\nAnswer: 2adfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f**2 + f**2)*(-12*f**3 + 16*f**3 - 17*f**3).\nAnswer: -39*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2631.\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 - -155 - (1 + 10) - (10 + 21 + 88)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 1. Let f(n) = -3*n**2 - 8. Let m(a) = f(a) - 3*u(a). Find the first derivative of m(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1083\/140 - -18\/35. Let u = -9003\/1240 + 153\/31. Find the common denominator of f and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -163. Let l be -1 + (-3 - -2) - -18. Let y = l + f. Solve y*n - 1 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4959585 divided by -1077\nAnswer: -4605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 44*d = -64. Sort d, -3, -2, -29 in increasing order.\nAnswer: -29, d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.06*-54402.\nAnswer: 112068.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 113. Give g(-18).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + -8 + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 17*a + 15*a + 90, -4 = -4*a. Let p(i) = -i**2 + 25*i + 18. What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/189788 and 19\/39848.\nAnswer: 111215768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 10) in base 3?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyz. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q + 37979 - 37979.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (6 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/45 - -3)\/((-27561)\/229675)?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s. Let l(c) = -17*c. Give l(o(p)).\nAnswer: -85*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 4*g**2 + 8*g - 13. Let p be f(5). Solve -d = 3*j - 11, -p*j = -5*j + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037041 rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25431415 (base 7) to base 10.\nAnswer: -2310313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = -3*f - 3*d, -d = 2*f + 8. What is the closest to 1 in -4\/3, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46758 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 24*n - 45. Let d be a(20). Let z be 7\/(d\/6) - (-2)\/(-10). Solve 16 = 5*r + z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-1\/25)*x**(-6)*x*x\/(x\/x**(-3)) assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 637*g - 43954. Give i(69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/((-24)\/(-4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 3*c + 3*c. Let u(a) = 2*a. Calculate u(s(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from iiiwiwiiiwiwwiwiiwi?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 - -3 - (7 - 3))) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 410, 0.8, 2, 15, 2\/15 in decreasing order.\nAnswer: 410, 15, 2, 0.8, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 468 = 6*j. Let u = -113 + j. Solve 2*l - 5 = -5*k, u*l + 3*k = 26 - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u + 9. Let h(l) = 2*l - 2. Suppose -81*t + 84*t = 0. Suppose -24*f + 172 - 52 = t. Determine f*d(p) + 21*h(p).\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 - 31*c**2 + 14*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 35. Let t be -4 - c\/(18\/64). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1527*t**2 + 2*t - 860 wrt t.\nAnswer: -3054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = 20*m + 37*m - 155120. What are the prime factors of m?\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q - 17. Let x(m) = 5 - 9 - 15*m + 11*m. What is -6*f(o) + 26*x(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from {i: 3, d: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 16*o**3 + 5*o**3 - o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 50 = 0. Let q(c) = -2*c**2 - 9*c + 9. Let d be q(5). Let z = 160 + d. What is the remainder when z is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*s + 6*s + 0*s + 35*s in the form n*s + b and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(21)*1 + sqrt(21))\/sqrt(3)*4*-3 + 4)*-5.\nAnswer: -20 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 - 5*v - 11. Is 30 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131382 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 8, a: 5, c: 1}. Give prob of sequence hhyc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*n - 12, 2*n - 4 = -x + 2. Let p be 5 - ((0 - -1) + x). Solve 2*l - 10 = p*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-5*(sqrt(405)*2 + sqrt(405) + 3 + sqrt(405)))**2.\nAnswer: -973352 - 32400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 + 228*d - 1183. Determine j(0).\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 - 786*q\/5 + 25584.\nAnswer: 2*(q - 984)*(q - 195)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g**2 + g - g**2 - g**2 + 0*g**2 + (6*g + 0*g - 4*g)*(g - 4*g + 5*g) + 112*g**2 + 1984 - 1984.\nAnswer: 115*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(4*x - x - 4*x) + 3*x - 1 + 1 + (-2 - 3 + 0)*(-1 + x + 1).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**3 + 1\/5*y**5 - 70 - 5\/2*y**2 + 0*y**4 + 3*y. Find the second derivative of f(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3015*q**4 + 15*q**3 + q + 6222. Let k(v) = -431*v**4 - 2*v**3 - 889. Let j(i) = 2*a(i) + 15*k(i). What is the second derivative of j(c) wrt c?\nAnswer: -5220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28316\/61999 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 + 15. Suppose 6 = -u - 4*a - 2, 2 = 4*u - a. What is the remainder when 44 is divided by w(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 1068 = 1189 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + 12. What is the third derivative of -2*c**5 - 7*c**2 + 4*c - h*c - c wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.01387 to 1 decimal place.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -46*r + 83. Let q(k) = -92*k + 165. Let n(p) = 5*l(p) - 2*q(p). Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -2875 - -4163. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 300. What is the units digit of (12\/10)\/(30\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-9))\/(20\/288*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32\/21, -3\/2, -0.5, -1, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -15848\nAnswer: -31696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.699 in 2, 0.08, 4\/5, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/15 and 560\/441 + 2\/7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 102*k**2 + 4*k + 150*k**2.\nAnswer: 48*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846 = y - 0*y - a, -846 = -y - a. What are the prime factors of y?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z + 25*z - 11*z)*(-z + 3*z - 3*z)*(0*z - 3*z + z - 1).\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 4*b - 3. Let x(i) = i**2 - 3*i - 2. Let d(a) = 2*s(a) - 3*x(a). Let q(h) = -4*h**2 - 2*h - 3. Determine -2*d(l) - q(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/326696 and -82\/4947.\nAnswer: 16661496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i**2 + 756*i - 757*i - 15*i**2)*(1025 - 1025 + 12*i**2).\nAnswer: -492*i**4 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2838*g - 1879*g + 4724*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + -15 - 1*51. Let z = 56 + c. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/5)\/g)\/g**(1\/4))\/((g\/g**(-9))\/g**(-7)))\/((((g**(-2\/11)*g)\/g)\/(g\/g**(-6)))\/(((g**5\/g)\/g)\/(g*(g**(-6\/7)*g*g)\/g))) assuming g is positive.\nAnswer: g**(-13569\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 1019, -155, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.1 (c) -66 (d) -0.031 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005908404 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20 + (-263)\/(-5). Suppose 6 = -3*l, 16 = d + 3*d - 4*l. Suppose -17 = -3*n + 2*h + 59, d*n - s = -h. Calculate the remainder when 50 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 566 in decreasing order.\nAnswer: 566, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8373262 to the power of 1\/2, to the nearest integer?\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4880 and 123\/33340.\nAnswer: 8134960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -20178 - 14722. Suppose -4*z - 5*t + 13969 = 0, -2*t - g = -5*z + 3*t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3 + 59*i + 27*i - 91*i. Give f(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*j + 24, -j - 4*q - 12 = -3*j. Solve 2*t + j = -3*s, -s - 17 = -3*t + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9347 - -0.6657. What is j rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 497080, 0.1, -1, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-6) + (-3)\/(-9). Differentiate 0 + k + 2*z - 5 + z with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 563 * -0.5312\nAnswer: -299.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9148038 is divided by 680?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7. Let n(c) = -c - 6. Let s be n(i). Solve -2*d + 5 = -2*p - 5, 3*d + 4*p + 20 = s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 2. Let k(o) = 16*o - 11. Let l(n) = -4*k(n) - 22*t(n). Let d(y) = -17*y + 4*y + 8*y. What is l(d(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 3*j + 3. Let u(k) = 3*k**2 - 4*k - 4. Let x(r) = -4*b(r) - 3*u(r). Let v be -2*1\/((-1)\/1). Let d(g) = v*g - 5*g + g. Calculate d(x(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12559*c**3*s**3 - 2*c**3*s + 2*c**2*s**3 - 8*c*s - 469*c wrt s?\nAnswer: 75354*c**3*s + 12*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16 and -79\/290.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c + 26. Let u be z(2). Factor -52*w**3 + 3*w + 11*w**4 - 35*w - 16*w - 16 - u*w**4 + 96*w**2.\nAnswer: (w - 2)**3*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60840 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*d + 1 - 0, -2*d = w - 7. Solve -w*s + 8 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 = 2*m. Sort 4, -6, m in increasing order.\nAnswer: -6, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/13 - 75658*u + 10819336\/13 = 0. Calculate u.\nAnswer: -491788, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32496 and 204492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4590 by 45.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2\/13*d**3 - 580\/13*d + 582\/13*d**2 + 0 = 0.\nAnswer: 0, 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let o(y) = -y**2 - 1. Let a(m) = 1. Let j(n) = a(n) + o(n). Calculate j(q(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5217, -10463, -15691, -20895, -26069, -31207?\n\"Answer: o**3 + 3*o**2 - 5262*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 - 13*p**3\/3 - 11*p**2\/2 + 17*p + 63. Let w be z(-12). Suppose 0 = -5*h - 1 - 4. Sort -2, w, h.\nAnswer: -2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-7))\/q*q**(-1))**(1\/2) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**(-5\/4)\/l*l))\/l)\/l)**(-6)*(l\/((l*((l*((l\/(l**(-2\/13)*l))\/l*l*l*l)\/l)\/l)\/l*l)\/l))\/l**(-1\/2))**(2\/11) assuming l is positive.\nAnswer: l**(-30\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**3 - 1787 - 3*y**3 + 2*y**4 + 2*y + 1644 with respect to y.\nAnswer: 8*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 969*n - 748766 + 748766 to the form j + i*n and give i.\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2046 and 4464?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -2a00?\nAnswer: 29bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*i**3 + 3*i**2 + 12\/5 + 24\/5*i.\nAnswer: 3*(i + 1)*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 0.03 (c) 0.01 (d) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373153.\nAnswer: 11, 33923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69902017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17301, 34394, 51487, 68580, 85673, 102766?\n\"Answer: 17093*p + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbml when four letters picked without replacement from {m: 1, b: 2, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 < 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 19*c**2 - 95*c + 55. What is t(23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 0, 26 in descending order.\nAnswer: 26, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3\/7 (c) 4\/5 (d) 3\/4 (e) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*d = 12 + 6, -f + 4*d - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4, 0.4, -0.003?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 46. Calculate u(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-46))**(-26) assuming w is positive.\nAnswer: w**(-1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636 minus 4?\nAnswer: 4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcj when four letters picked without replacement from {r: 3, j: 3, c: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2489.01553589+-198\nAnswer: 2291.01553589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1144 - 30*q - 53*q - 1143 to i + s*q and give s.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60946533 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*i**3 + 2680*i**3 - 858*i**3 - 977*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -1\/60*g**5 + 0*g + 0 + 1\/6*g**3 + 1\/12*g**4 + 4*g**2. Determine i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*-140)\/7*(-162)\/(-405).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 24*a + 4*z + 42, 0 = -5*a - 2*z + 100. Suppose a*c + 15 = 25*c. Solve h - 22 = 5*v, 0 = -c*h - 2*v - 14 - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 - 9*q + 19. What is x(6)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38445, -37518, -36591, -35664?\n\"Answer: 927*v - 39372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159 = 2*s + 8*b - 1237, 4*b - 11 = 3*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241\/3 - 82. Suppose 2*x = 4*p - 24, 28 - 4 = -2*x - p. Let h be (1 - 2)\/((-3)\/x). What is the third biggest value in h, v, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/160)\/((-48)\/(-440)) and ((-826)\/(-12) - 3)*9*(-2)\/(-2580)?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 167, 264, 341, 392, 411, 392, 329?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 507144*l - 16. Let u be ((-10)\/(-6))\/((-1)\/12). Let s = u - -34. Let w be h(s). Round w to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5173 is divided by 1723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332232120 (base 4) to base 15.\nAnswer: -511d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3 = -4. Calculate the greatest common divisor of p and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 2, q: 1, j: 1, c: 3, r: 2}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 3. Let w be a(-6). Suppose -4*p - 35*s + 33*s + 2 = 0, 5*s + 19 = 2*p. Solve 0 = w*i - b - p - 9, -5*i - b = -29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256.6 + -286. Let b = -29.39999552 - f. Round b to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5207*k**5 - 6617*k + 2116*k**5 - 1204*k**5 wrt k.\nAnswer: -85900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 10*p**4)*(2*p + 2*p - p) + 95651 - 5*p**5 + 2*p**2 - 95651 + 3*p**5.\nAnswer: -32*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928382, 928349, 928314, 928277, 928238?\nAnswer: 928197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*t = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054 * -436.2072.\nAnswer: -23.5551888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 132. What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 569 (b) 6\/11 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745327461.\nAnswer: 1327, 1315243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -94696*h. Let s(c) = 1021*c**2. What is s(r(p))?\nAnswer: 9155646396736*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9460\/(-645)*(27\/(-42))\/(6\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*r - 614*r + 44 = 0. Suppose 0 = 4*w - r*w + 108. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153471 is divided by 30694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(180) + 2 + -1*1*sqrt(180))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/((-2)\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:38 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 13*h - 12332. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(-2)))\/s)**(-2\/189))**(-33)\/((((s\/(s**(-3)*s))\/s)\/s)\/(s\/s**7)*(s\/s**0)**(-3\/13)) assuming s is positive.\nAnswer: s**(-2134\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 - (-11)\/24. Let d = c - -3\/8. Let q = 8 + -13. What is the closest to d in q, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - k = -6, 6*k - 18 = -5*z + 5*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*a = -9, 3*a + 3 = -0*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 20388?\nAnswer: 20388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w)*(0*w + w**2 + 0*w) + w**3 - 3*w**3 + 51 - 46.\nAnswer: -w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, x: 2, w: 8}. What is prob of sequence wwx?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*j + 4315 = 0, -3*t + 5*j = -t + 1726. Let c = -837 - t. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -22.7\nAnswer: 272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280 - 236.2. Let t = -48 + d. What is t rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a + 9. Let q = 15 - a. Suppose j = -w + 23, 34*w + 26 = 35*w + 4*j. What is the least common multiple of w and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371 divided by -7\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a + 640. Let n(p) = p**2 + 5*p - 1056. Let z be n(-37). Let w = a + z. Solve 0*c - 15 = -w*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -2*sqrt(272)*-5 + 4 + sqrt(272)*-2)**2.\nAnswer: 576*sqrt(17) + 17489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1331420051?\nAnswer: -1331420046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 10*s + 6 = 0. Calculate s.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*r = -381*r - 1526 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Let k be (-4 + 1)*28\/h. Suppose n + n = u + 1, -4*n + k = 2*u. Solve 0*m + 5*m - r = 4, -u*m + 5*r = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 4. Let a be i(-6). Suppose 0 = 5*f - 2*p - a, 3*f + 1 = -p - 3. Solve f = s - 1 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612874286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2\/3 - 5215*y\/3 - 2732240 = 0. Calculate y.\nAnswer: -861, 1904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -81*m - 3. Let z be k(-2). Does 24 divide 3 - 4\/((-12)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j = 48*w - 38*w + 43*w - 52*j - 459, -2*j = 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 15. Suppose z*v = v. Suppose f + v - 13 = 0. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 3*n - 4*j - 9, -n - j = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 704*m + 6410. Let r be i(-9). Let p(c) = -5 - 2*c - 3 - 2. Determine p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10 + 10 - m**2 - 6*m**2. Let o(h) be the third derivative of h**4\/24 - 2*h**2. Give k(o(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476400 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18251*c + 7407*c - 58989*c - 22592*c.\nAnswer: -92425*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110200 rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242))*-1 + (-1*sqrt(50))**2 + sqrt(8)\/sqrt(4)*1.\nAnswer: -10*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 32 + 46. Let l = z + -74. Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**5 - 2646 + 2646 + 5*l**2 - 138*l wrt l.\nAnswer: -200*l**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/12 and 193\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 623*c**3 - 8*c**2 - 5*c + 18. Let k be x(-13). What is k rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjpjpko. What is prob of sequence popj?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 = -s, 4 = -2*s + 2*v + 22. Let b(l) = l**2 + l + 33. Let i be b(0). Calculate the greatest common divisor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 154*l + 92. List the prime factors of a(58).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 193441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*s + 2 + 290*s - 414*s.\nAnswer: -364*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 28. Let d be 5 - (-1)\/(3\/(-3) + l). Let m = 0.51 + -0.01. Sort m, -0.5, -3, d.\nAnswer: -3, -0.5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/(4\/(-116)). Let w be (-24)\/(-2)*(-102)\/(-2992)*-22. Is w bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/7)\/(1050\/(-196) + 6). Factor -32\/3 - p*w - 2\/3*w**2.\nAnswer: -2*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4 - 3725*f**2 - 5 + 3723*f**2 + 1. Let o(j) = -102*j**2. Determine n(o(c)).\nAnswer: -20808*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:53 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.898 - -89. Let b = -580 + 579.9027. Let z = a + b. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -q - 0*n, 4 = -12*q + 4*n. Let u = 20 + -14. Which is the third biggest value? (a) u (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 + -5.5. What is the third smallest value in -0.3, i, -9, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2403 + 21?\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.4, -24, -1.7, -0.1, -1 in increasing order.\nAnswer: -24, -1.7, -1, -0.4, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q)\/(q*q*q*q**(-1)\/q*q*q*q*q))**45 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1736*q + 1060*q - 246*q + 1168*q in the form r + x*q and give x.\nAnswer: 3718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 3. Let w be d(2). Suppose -m + 16 = -2*o, -3*o + 5*o = w*m - 96. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948095737 to the nearest integer?\nAnswer: 30791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.95 or -3877?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107476.3 and 3.\nAnswer: -107473.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -8, -5 in descending order.\nAnswer: 4, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*5 + -2 + 2 + sqrt(1539))**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 + 103. Let g = 26045 - 26050. Sort 4, i, g in increasing order.\nAnswer: i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 4*t - 2597, q - 2*t - 511 = 0. Calculate the greatest common divisor of q and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 66, 227, 542, 1065?\n\"Answer: 9*u**3 - 4*u**2 + 10*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4778 and -1.9569?\nAnswer: 4776.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2166 + 1887 - 171*w**3 - 4053.\nAnswer: -171*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 48. Let a = 36 - 25. Let q = -31 + a. Is q equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(-5 + (sqrt(208) + -3)*-4 + (-2 + 3*sqrt(208) - sqrt(208)) + 1))**2.\nAnswer: -86400*sqrt(13) + 781200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4701 - -4705. Let v(u) be the first derivative of -3 + 0*u**2 + 19*u + 15\/4*u**g + 0*u**3. What is the first derivative of v(l) wrt l?\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1756\/(-280) - (-15)\/(-150). Let m = -46\/7 - h. What is the second smallest value in 0, -2.8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*g = 60317, 215*m - 220*m = 3*g - 100523. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + 3*z**2 - 2*z**3 - 59 + 60. Suppose i + p = -3, 5 = -8*p + 3*p. Calculate q(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1748 - -2855. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 17. Determine a(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (55\/33)\/(1\/6). Let k(i) = -i**2 + 2. Let d be k(0). Suppose 0 = -5*a - 2*j + 31, 13*a - 3*j + 24 = 16*a. Solve x = -a*c - 13, -s = c - d*x - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.1, -182, 1\/6 in descending order.\nAnswer: 1\/2, 1\/6, -0.1, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:16 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 69*d. Let u(h) = -2*h - 58. Calculate u(p(w)).\nAnswer: -138*w - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-1 - -2))\/((-52)\/39). Let m(a) = a. Let x(y) = y + 1. Let p(t) = -2*m(t) + x(t). Let k(g) = 1 - 3*g - 2 + 3 - 2*g**2. Calculate r*p(u) - k(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/2 - 123*q**2\/2 + 1778*q - 10656 = 0.\nAnswer: -148, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1823, 4, 5 in descending order.\nAnswer: 5, 4, 2\/1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmimmmmmmmmmmmmmi. Give prob of sequence mmm.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11233, -22466, -33699, -44932?\n\"Answer: -11233*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776050, 1552089, 2328130, 3104173?\nAnswer: 3880218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6227, 6230, 6219, 6182, 6107, 5982?\n\"Answer: -2*q**3 + 5*q**2 + 2*q + 6222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*y - 145, 2*y = 2*i - 0*i + 86. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 4. Let p be z(4). Let j = p + 27. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - ((-15 - -7) + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315695213?\nAnswer: 3, 7, 20884051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338568001?\nAnswer: 113, 449, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.841395 nanograms in micrograms?\nAnswer: 0.005841395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-4) + 1\/2. Suppose -2*j = -z - 22 - 12, 54 = 3*j - 3*z. Solve 3*h - 2 = d + f, -5*h = d - j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/405*1*-5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by -153\nAnswer: 163\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1590113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -10. Let v(r) = -4*r + 20*r + 8*r - k*r. Let l(w) = -8*w**2. What is l(v(b))?\nAnswer: -800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 155, 141, 107, 47?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 4362*d**2 + 3578715*d - 3583076 = 0. Calculate d.\nAnswer: -707, 1, 5068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(128) - -6*(sqrt(72) - (sqrt(72) + 0))**2.\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxy when three letters picked without replacement from cycxhcxxxcc?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (3 + (-5 - -3)). Let q(a) = 10*a**2 - 300*a + 3. Let i be q(30). Put 5, 4, i, y in ascending order.\nAnswer: y, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:02 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5\/2)*r)\/((r**(-4)*r*r)\/r*r))**(-35))**(-38) assuming r is positive.\nAnswer: r**665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 217260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rajeqpr. What is prob of sequence ae?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - c + 5 - 5)*(0 - 2 + 6) - 2*c + c + 3*c.\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-194)\/3589)\/((-28)\/259)*-130.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4443*f + 1 + 2*f**3 - 4441*f - 2 as j*f**3 + c + d*f + i*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5 = -27. Suppose -3*v + 5 + t = 0. Find r, given that -1\/4*r**v + 0*r**2 + 1\/4*r + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142234?\nAnswer: 2, 149, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65134517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1253*j**3*o**4 + 102*j**3*o**3 + 1658*j**3 - 22*o**2 wrt o.\nAnswer: -30072*j**3*o + 612*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133.3001068 + 133.3. What is o rounded to 6 decimal places?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekee when four letters picked without replacement from {e: 3, k: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 618016*l**3 - 95476673374*l**2 - 2864717375520*l - 21486423269025.\nAnswer: -(l - 309023)**2*(l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193332*j - 17167 - 12425 = 192921*j for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -0, 3*y = -5*s + 7. Let r(p) = p**3 - y*p**2 + 4*p**2 + 65 + p**2. What are the prime factors of r(0)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11003 - 10969. What is the highest common factor of 8568 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6447 divided by -1\nAnswer: -6447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= -1670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/8 - 1\/(-2). Suppose -g*z + 2*z + 15 = 0. Are 5 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 1. Let s(k) = -3*k - 1. Let w be ((-1)\/(-3))\/(7\/(-42)). Calculate w*j(v) - 5*s(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1747*q**2 + q**3 - 1748*q**2 - 9 - q**3 + q - 2*q**3. What is y(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 + 757041148.\nAnswer: 757041143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {v: 3, b: 3, s: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 7765209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*w - 1 + 345*w - 1312*w + 335*w + 338*w.\nAnswer: 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-108)\/(-15) + -3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 7*k - 168. Let p be h(17). Suppose -p*m + 962 = 946. Which is smaller: 14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33 + -31 + 0 + 7. Let b(z) be the first derivative of -z**3\/3 + 9*z**2\/2 - 6*z - 7. What is b(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from twtwwtw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 4*n**2 + 8*n + 5. Let q be u(-3). Let h = -69 - -134. What is the highest common factor of q and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 9. Let s be (-3 + 2 - 3)\/(-2). What is the third derivative of -20*w**2 + w**j - s*w**3 - 4*w**3 wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) 2 (d) 0 (e) -0.1 (f) -527\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3393)\/9828 + -2*9\/(-42)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1, -1\/9, -18\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + -3 + (-7 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 5 - -3)\/((-2)\/18). Let t(r) = -r**2 + 19*r - 14. What is the tens digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/3 + 5983*v**3\/3 + 65716*v**2\/3 + 47764*v - 71664 = 0. What is v?\nAnswer: -5972, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -413713 (base 8) to base 9\nAnswer: -228133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 20247700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 4)*(-11 + 11 - 2*x**2) + x**2 + 3*x**2 - 6*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(1\/10)\/(l**(-2)*l*l*l*l\/((l*l**(-1\/12)*l)\/l*l)))\/(l**7*l**(3\/4))**28 assuming l is positive.\nAnswer: l**(-65113\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 - 9276*m + 37117. Suppose 54 = 3*a + 3*g, 0*a + 40 = 2*a + 3*g. What is the remainder when q(4) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 28 - 5 + 9*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 434660 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -154554 + 3?\nAnswer: -154551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + u = -781, -1033 = -3*q - q + 3*u. Suppose 0*h + 3*a - q = h, a = 4. Let k = 448 + h. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828160*u**2 + 2828639*u**2 - 5656800*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 7 = 4*d - 11*i, 0 = d + 3*i + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 56d (base 15) to base 5\nAnswer: 14403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3)\/((0 - 6)\/54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3611*d - 1486.\nAnswer: -3611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124878 by -2.\nAnswer: 62439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n. Let u(f) = 42*f. Determine u(x(g)).\nAnswer: -210*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 766796 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose 13 = 2*w + 5. Let k = w + t. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1218*l**2 - 21*l - 1. Suppose -17 + 13 = -4*b - 4*a, 0 = 5*b - 4*a + 13. What are the prime factors of s(b)?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 114 - 51 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -983.392627 - -1108.1245608. Let p = i + 0.2597662. Let f = p + -125. What is f rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659 (base 14) to base 10.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = 12. Let c be 2\/(-3)*(-147)\/(-14). Is w < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/243956 and 49\/8.\nAnswer: 487912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(256)*1))\/((1*sqrt(252))\/sqrt(4)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 223550036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -1 - (-396 - -394)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.11, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 56*m - 46*m - 10302 = 99*m for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -817882 or -817883?\nAnswer: -817883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 - 774*b**3 + 2*b**2 - 1728*b**3 - 538*b**3 + 473*b**3 to the form k*b**2 + d*b + q*b**3 + l and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*l + 5 = 0, 3*l = 2*j - 6*j - 3. Let p be (2 - 1)*12\/1. What is the lowest common multiple of p - j*(-1)\/3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - j - 6 + 2*j - 5 + j**3 as k*j + l + g*j**2 + x*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41973, -42699, -43425?\n\"Answer: -726*w - 41247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*r + 36, 0*v - 2 = v. Let w = r - 21. Solve -j + 2*j - 2 = w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.78598 micrometers to centimeters.\nAnswer: 0.005178598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3, -11 = 2*r - r + 5*g. Suppose w - 4 = -3*l, r*l = w - 0*l - 11. Suppose -67 = -6*z - w. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -107\/173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five thirds of a century in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 + -10*1. Let x = -17 - q. Let c be (-172)\/(-14) - x\/(-28). Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*t = -3, h + 4 = 5*h - t. Let p(k) = 17*k + 1. What are the prime factors of p(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -304, -287, -270, -253?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) 3 (c) -177 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -4*((sqrt(612) + 0)*1*6 - (-1*sqrt(612) + sqrt(612) + 0 + (sqrt(612) + 0 + sqrt(612))*6)**2)).\nAnswer: -1410040 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 2*sqrt(13)) + 4)*6.\nAnswer: 30 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 236978.8.\nAnswer: 236981.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - u = -11*l - 5 + 2, 5*l + 4*u - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfoifwowofw. Give prob of picking 2 o and 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 - 2*b - 5. Let i be c(4). Let w = 1.24 + -1.34. What is the third smallest value in -2\/21, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*o + o. Solve -4*j + o*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-82)\/(-126) + -1 - 28\/(-49). What is the smallest value in -2\/3, -2, q, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/(-294))\/((48\/4)\/4))\/((-2)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*j - 324*j**2 + 319*j**2 - 232*j - 440*j + 1250 = 0. Calculate j.\nAnswer: -125, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 20*c + 4. Let m(u) = -7*u - 1. What is 4*d(b) + 11*m(b)?\nAnswer: 3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/47))**(1\/5)\/(p**(-18)*p)**(-30) assuming p is positive.\nAnswer: p**(-119852\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(114)\/sqrt(3))\/sqrt(2) + ((sqrt(931)*-3)**2 + sqrt(19) - sqrt(19)) + sqrt(19)).\nAnswer: 6*sqrt(19) + 25137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imyyiimy. Give prob of picking 3 i and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18361 + 19839.2. What is t rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w + 0*w**4 + 0*w**3 + 0 - 1\/30*w**5 + 2*w**2. Let q(x) be the first derivative of 3*x**2\/2 + 1. Give q(t(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 20*y = -2*c + 12914, -5*c = y - 32246. List the prime factors of c.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + a = -3*a + 61, 0 = 2*c - 2*a - 10. Solve -5*l + 5 = -3*u, 5*l = 5*u + c - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690073729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8273 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/46080 and 121\/11520.\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -16. Suppose -a*c = -2*c - 8. Find the second derivative of -k**2 - 2*k**c - 2*k**2 - 5*k wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:18 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20084 (base 13) to base 14.\nAnswer: 16bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 387. Let f(h) = h - 193. Calculate -7*f(j) - 3*o(j).\nAnswer: 2*j + 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448))*-5.\nAnswer: -60*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 8*q - 315. Let r(n) = -q + n - 19*n - 3. What is the tens digit of r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7050, 7042, 7012, 6948, 6838, 6670?\nAnswer: 6432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**4 - 12*g**2 + 113*g.\nAnswer: -84*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 4*(sqrt(152) - -3*sqrt(152)))\/(sqrt(128)*1 + sqrt(128)).\nAnswer: 17*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -122. What is the remainder when 81 is divided by 693\/j*8\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((6*(sqrt(1792) + (sqrt(1792) - (sqrt(1792) + -4 - sqrt(1792)))) - sqrt(1792)) + (sqrt(1792) - sqrt(1792)*1)*-1)*-1*5)**2.\nAnswer: 7603200*sqrt(7) + 195667200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -5 + 2 - (-6026314)\/98?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292706 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -7 - (-112 + 118)) + 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -724\nAnswer: 723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j = -46*j + 1043 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4195968 is divided by 891.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228460765 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*o - 11, 4*o + 23 = 379*j - 384*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**3 + q**3 + 4*q**3)*((-2*q + 4*q - q)*(3 + 1 - 2) + 0 + q + 0 - 153*q - 162*q + 376*q) + (4*q**3 - 4*q**3 - 2*q**3)*(3*q + q - 2*q).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 89*r**3\/3 - r**2 + 8*r + 70. What is the second derivative of p(l) wrt l?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995297 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(78)*-1*2 + sqrt(78))\/((sqrt(66) - sqrt(66)*-1)\/sqrt(11) - sqrt(6)))**2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose -2 = -d, -3*d - 2202 = -5*u - y*d. Find the second derivative of 3*g**4 - u + 440 + 11*g wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -6928)*(-2 - -1). Let b be (-6)\/24*0 - -3. Suppose -5*q - 10866 = -2*m + z, 3*m - b*q = 26697. Round m to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 31*a**2 - 37*a + 67. Let f(k) = -k**3 + 8*k**2 - 9*k + 17. Let u(i) = 9*f(i) - 2*x(i). Is u(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27747850095.00000206 - -27747850344. Let t = -248.999 + -0.001. Let u = f + t. Round u to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(-20)\/15. Let u(a) = -s*a - a + a**2 + 3*a. Let v(z) = 0*z - 2*z + 4*z. Give v(u(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 + 2*b**4 - 71 + (3*b**3 + 0*b**2 + 0*b**2)*(b - 1 + 1) - 409*b + 409*b + 59*b**4 - 2*b**4 + 0*b**4 + 4*b**4.\nAnswer: 66*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*w - 10*t - 25, -w - t - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78587473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 21*h - 16. Let o be ((-3)\/9)\/((-5)\/(-165)) + 0. Let u be t(o). Which is the closest to 3\/4? (a) u (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 4*w - 18. Let p be (2*2\/1)\/w. Let y = 0.31 - 0.01. Which is the third biggest value? (a) y (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-62.91\nAnswer: -251.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/2 + d**2 + 2*d + 20. What is s(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/11 + 6*k**3\/11 + 2*k**2\/11 - 6*k\/11 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:19 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/10 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10609\/89301*51 - 10\/2?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024306 rounded to five decimal places?\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 + 164. Suppose 3*m = 3*v + 312, 2*m - f*v = 6*m - 428. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvcznnvavv. What is prob of picking 1 h and 3 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1608, 6155, 13730, 24333?\n\"Answer: 1514*z**2 + 5*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 3*l**3\/4 + 111*l**2\/2 + 1369*l - 1191. Factor w(f).\nAnswer: (3*f + 74)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2726 at most as big as -2722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21980, -22110, -22242, -22376, -22512?\n\"Answer: -f**2 - 127*f - 21852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 24. Let a be v(11). Suppose 2*b + 2*x + 2*x = -a, -3*b + 5*x = -30. Suppose 10 = -3*m + b*m. Solve 7 = -4*f + d, -3*d - m = 2*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -110*t**4 + 205590*t**5 - 292*t**3 - 24*t - 164*t**2 - 78*t**4 - 205626*t**5 = 0.\nAnswer: -3, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163044470930818 plus 0.2?\nAnswer: -163044470930817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*-1*sqrt(700))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 14. Let a = y + 5.9994. What is a rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*x + 718*x + 114576 = -93*x for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067408 (base 10) in base 15?\nAnswer: 6a16c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/6 + 1769*u**3\/6 - 393374*u**2\/3 + 649446*u - 518616 = 0.\nAnswer: 1, 4, 882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-176)\/340. Let m be 99\/216 + (-1)\/3. What is the closest to -0.1 in m, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91622 - -167576644\/1829. Do o and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bohbwobbbhbw. Give prob of sequence bwo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by -3.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(0 - (-4)\/(-32)). Suppose 26 = 2*k - v. Suppose 5*w + 5 = 4*t, -5 = -4*w - 2*t + k. Solve 8 = w*j + r, 3*j - 7 = -2*r + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45 - (0 - -1) - 1. Suppose 4*h = 2*o - 17 + p, h = 4*o + 17. Let w be (-5)\/(-2)*8\/h. Put w, -1, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -13*z**7\/70 + 23*z**5\/20 + 2*z**2 + 51. Find the third derivative of a(h) wrt h.\nAnswer: -936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16572 and 8.\nAnswer: 33144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/17))\/((((g\/(g\/(g\/(g**(-3)\/g)))*g*g)\/g)\/g)\/g))**2*((((g\/(g*g\/((g**(3\/2)\/g)\/g)))\/g)\/g)\/g**0)**6 assuming g is positive.\nAnswer: g**(-429\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 + i - 2. Let b(d) = -14*d**2 - 4*d + 5. Let f = 30 - 60. Let s = f - -19. Let u(x) = s*n(x) - 4*b(x). What is u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 19*y**6\/30 + y**5\/10 - 7*y**2 - 48*y - 1. What is the derivative of s(g) wrt g?\nAnswer: 76*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + 0*o)*(2*o + 15 + 19 - 23)*(63 + 11*o - 63) + 2*o**3 - 4*o**3 + o**3.\nAnswer: 43*o**3 + 242*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3401*a**2 + 3395*a**2 + 1.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 119.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 3*n**4 - 16*n**3 + 5*n**3 - 2*n**2 + 2*n**2 in the form v*n**4 + s*n**2 + f + m*n**3 + q*n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 453137070 a multiple of 2073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 16 - (0 + -4 - 45)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362*g + 686*g + 747*g = 568 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2498*r - 164692. Determine j(66).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50775*a**2*f*v**2 - 20*a**2*f*v - 11*a*f - a*v + f*v**2 + 2*f*v + 4*f wrt v?\nAnswer: -101550*a**2*f + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6736*y**2 - 3377*y**2 - 3633*y**2 - 3*y as g*y + q + l*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose c*b - 3*v - 108 = 19, -5*v = 5. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.084 - -0.184. Let n be 2*6\/50*-5. What is the second smallest value in w, 2, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/(-5)*(-39)\/(-1 + -2) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30034603 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, f: 2}. Give prob of picking 3 w.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 - 1035\/54)\/((-1)\/(-2) + 0). What is the closest to -4\/3 in y, 0.4, -15\/13?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2513460 and 258383688?\nAnswer: 1291918440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.452 - 0.38. Let h = 0.318 + y. Let x = h + -0.3899924. Round x to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2301, -1638, -991, -366, 231, 794, 1317, 1794?\n\"Answer: -r**3 - 2*r**2 + 676*r - 2974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 - 6*d + 3. Let u be q(-6). Let z(a) = 2*a - 4. Let c be z(u). Suppose -c*t + 5 = -h, -4*h + t = 6*t - 6. Which is smaller: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {s: 1, y: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16799*m**3 - 142900*m.\nAnswer: -100794*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*l + 81*l - 244*l + 75*l - 2356 to the form c*l + v and give v.\nAnswer: -2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -25. Suppose -k*l + 7*l + 168 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3 + 3 + 1 + 0 - 5 - 2*f**2. Calculate g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369 - 342. Calculate the highest common divisor of r and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3\/54*(-20)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(0*n - 5*n + 3*n)*(0*n**2 - 3*n**2 + 0*n**2).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28742250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18 - 8*k**3 + 92*k**2 - 92*k**2 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a = 44*a + 5*f + 483, 5*a - 2525 = 3*f. List the prime factors of a.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-293489\nAnswer: 2054423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9029.1 + 8837. What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/3*19\/(665\/21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*y - y + 0*y)*((-2 - 1 + 1)*(-1 + 0 + 2) + 0 - 4 + 3 + 3 - 3 - 1 - 1 - 1 + 1 - 4 - 1 - 5) to the form m + c*y and give c.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 16 + 24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(80)\/sqrt(4) + sqrt(5) + -1 + sqrt(5) + (sqrt(45)\/sqrt(9) - sqrt(5))**2 + (sqrt(10)\/(-4*sqrt(2)) - (sqrt(80) + 1))**2.\nAnswer: 25*sqrt(5)\/2 + 1413\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.706 to one dp.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 10*u - 2833. Calculate m(32).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4926 - 119*q - 4926)*(-2*q**3 - 4*q + 4*q) to x*q**4 + c*q**3 + l*q**2 + i + a*q and give x.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13548221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 4*g**3 + 0*g**3 + (3*g**2 + 177*g - 177*g)*(0*g + 2*g - 4*g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 + 2*h**3 - 3790*h + 7364*h - 3574*h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 10*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -56.7 at least -46.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.08 + 0.08. What is the nearest to n in -2, -1, 1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.116 * 0.5.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/130)\/(-10*114\/(-3325))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28648 + -1573?\nAnswer: 27085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)*(3 - 2). Let s be -3 - (3 - d - 4). Let a be (s + 3)*(2 - -3). Solve 3*o = -5*b - a, -5*o + 3*b - 35 = -2*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -31\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 29*j**2 + 14*j - 34. Let l be v(15). Let r = l - -54. Suppose -r*s = -85 + 60. Solve -16 = -s*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (20 + -10 + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 758 = -254. Let c = 74 - v. Suppose -o - 2*r = -13, 2*o - 28 = -c*r - 0. Solve 5*k = 10 + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5742020 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 + 2*s**2)*(-s**3 - 3*s**3 + 2*s**3 + (0*s + 0*s + s)*(3 - s**2 - 3) + 2*s**2 - 602 + 603 + s**2 + s**3).\nAnswer: -2*s**5 + 3*s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 276919 + 21200176?\nAnswer: 21477095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - 3\/(-9)*6*3. Let o(w) be the second derivative of z*w**3 + 0 - 3*w + 1\/6*w**4 - w**2. What is the derivative of o(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n - 57*n - 91 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 49878*u + 8789900.\nAnswer: -2*(u - 175)*(u + 25114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1632 and 107\/858296?\nAnswer: 10299552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.8 (b) -5 (c) 5\/517 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d118 + 43?\nAnswer: 3d15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:07 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, f: 3, d: 2}. Give prob of picking 1 d, 1 r, and 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -36. Let o(g) = -3*g - 12. Let t be o(-5). Solve m = t*x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:34 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crorrcrcxxxxxz. What is prob of picking 1 o and 1 r?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 202*b**2 + 1206*b - 97. What is w(6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1063, -1, 503, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20*l + 24*l + 6044, 4774 = 4*j + 7*l. What is the remainder when j is divided by 298?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 17*n + 4*n**3 + n**3 - 6*n**3 - 53 in the form o*n**2 + u + s*n + q*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + 2*y)*(3*y**2 + 0*y**2 + 6*y**2).\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -301\/3, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3519\/621*(-108)\/46206?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (25 - 43).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.6119 centuries in months?\nAnswer: 1132334.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7 + 1040*s - 2 - 2074*s + 1034*s + 16*s**2. Let m(i) = -8*i**2 - 3. Determine 3*a(l) + 5*m(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 279 = -699. Suppose 5*p - 2*h - a = -0*h, 5*p + h = 85. Let f = -112 - -158. Calculate the remainder when f is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10105, 20212, 30327, 40456, 50605?\nAnswer: 60780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g - 2 + 974*g**2 - 976*g**2 - 12*g**3 - 25*g**3 + 61*g**3 + 80*g**3 in the form y*g**3 + s*g**2 + f*g + a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2146*i - 2460*i = -344*i + 353746 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 26) + 2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450204 (base 6) in base 14?\nAnswer: 22a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2215 - 1308. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3 + 3)*(-2 - 3 + 12).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*28\/8 - 3. Let u = r + -8. Is (2\/u)\/((-5)\/50) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1 + 1\/27*o**3 - 16*o + 2\/9*o**2 - 1\/54*o**4. Let y(v) = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*q - 9*q**3 + 57*q + (19 - 19 - q)*(5*q - 5*q - q**2) + 0*q + 0*q - 2*q**3 + (-2*q - q + 4*q)*(-351 + 30*q**2 + 351).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1*5 + -1 + 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 120961?\nAnswer: 241922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 17*n**2 + 26*n + 22. Let o be y(-15). Let l = o - 70. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/((-2)\/(-3)). Let n(s) be the first derivative of 3*s**2 + 1 - 22*s**3 + 2*s**2 - 4*s**2 + 26*s**t. Find the second derivative of n(w) wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67261 + 22371 + 22423 + 22467 - 10*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 - -1749586?\nAnswer: 1749586.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*h)*(4 + 2*h**4 - 4) + (h - h - 3*h**2)*(3 - 3 + h**3) - 4*h**5 + h**5 - h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n + l - 38 = 0, 0 = 3*n - l - 25. Let m = n - 7. Solve -2*i - m = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33756.\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 344 + 182*i**4 - 2*i - 356*i**4 - 2*i**2 + 171*i**4 in the form f*i**3 + x*i**2 + s*i + n*i**4 + b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -4, 111 in descending order.\nAnswer: 111, 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 710057983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-4)\/3 - 1. Let i = -26 + 31. Sort 1\/2, a, i.\nAnswer: a, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + j**2 + 286 + 23 + 0*j**2 - 81 - 4*j**3 + 305.\nAnswer: -2*j**3 + j**2 + 533","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 74 = -5*u, 5*j - 166 = -0*u - 3*u. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 5. Let i(r) = 3*r - 5. Let y(j) = 2*i(j) - 3*x(j). Let l(c) = -3*c**2. What is y(l(d))?\nAnswer: 36*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 6*s**2 + 8*s + 9. Let l be z(-7). Suppose 0 = l*j - 32. Suppose 3*q + j = 28. Solve -6 = -u + x, 0*x = 2*u + q*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let r be (i\/2)\/(1\/(-24)). Let h be 7\/(-4)*r\/(-14). Which is the second smallest value? (a) 0.1 (b) -1\/6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:05 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2235981, 2235889, 2235799, 2235711, 2235625, 2235541, 2235459?\nAnswer: 2235379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0, -0.13, 0.02, -4, 149?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 5*d**2 + 0*d**2)*(2*d - 3 + 3) - 309*d**2 + 4*d - 10*d**3 - 53*d**3 + 309*d**2.\nAnswer: -75*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y - 2. Let o be 3 - (-10 + 9) - 2*1. Suppose -o*z = 3*c - 7, -c + z - 15 = 6*z. Suppose c*u + 5*g = 15, u + u = -5*g + 21. Determine w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-120)*(-20)\/4\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -3 + -5*sqrt(48) + 5)**2.\nAnswer: -76*sqrt(3) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 155 - 2*h**4 + 2*h**2 - 18 to j + n*h**3 + v*h**2 + a*h + s*h**4 and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2c83?\nAnswer: -2c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01614 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 16*j + 3*j**2 - j**2 - 3*j**2 as y + w*j**2 + p*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80a - a39?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 1.78. Let g = 5.8 - f. Which is the second biggest value? (a) 3 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 48 = -3*m, 51 = 3*m - s + 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + -2 - (-39 + 92 - 42))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25065, -25024, -24915, -24732, -24469, -24120?\nAnswer: -23679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (0 + -3 - -4 - (-978 - -963))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6318 is divided by 124?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 80 + 79 + 94 - 88 + 3*d as b + s*d and give b.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrurrsrgrrsrsrussu. Give prob of picking 2 s.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njj when three letters picked without replacement from {j: 2, n: 2, u: 9}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 400\/40 + (1 - -94292) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7966, -31793, -71494, -127063, -198494?\n\"Answer: d**3 - 7943*d**2 - 5*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/120 - h**5\/20 - 3*h**2. Let r be i(3). Round r to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*y - 62*y + 155364. Calculate the common denominator of -57\/4 and (-2)\/(-23) + y\/(-506).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:48 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Suppose -f*d = -q - 25, 2*q + 21 - 52 = -3*d. What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 485136032.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -19 - 113 - 43?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 9. Let d be n(3). Solve q + d*q - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:18 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.77 - -16.23. What is the biggest value in 0, z, -0.04, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 165 = -2*a. Suppose -a = 2*x + 93. Let m = 64 + x. Solve m + 4 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 15*o**2 + o - 10. Let n be p(15). Suppose 0 = -n*m + 18 + 2. Suppose -m*x - 2 = 10. Put 2\/11, x, -4 in ascending order.\nAnswer: -4, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, -1\/10, -0.5.\nAnswer: -3, -0.5, -1\/7, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5150 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1515\/166 or -2\/2657?\nAnswer: -1515\/166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - -58. Let s be 164 - 1764\/(-12 + -37). What is the greatest common factor of b and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2860*c**6 + 50*c**2 + 346*c wrt c.\nAnswer: -343200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/4, 2\/653 in descending order.\nAnswer: 2\/653, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/5)\/(w*w**(5\/6))*w**(-2)\/w**(-2\/25) assuming w is positive.\nAnswer: w**(-533\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -36.23. Which is the nearest to p? (a) 4 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -325, -458, -571, -658, -713, -730, -703?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158210099338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p**4\/p))\/p**(1\/3)*(p*p*((p**(5\/6)*p)\/p*p)\/p)\/(p*p**0) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 5?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 6, -2\/5, -78, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213 (base 5) to base 3.\nAnswer: -20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 133 - 26 - 245 + f**2 + 5*f + 2*f**2.\nAnswer: -4*f**3 + 3*f**2 + 5*f - 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39223372 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*f + 26 = 0, -2*k - k + f + 19 = 0. Suppose -5*x + 9 + 13 = z, 0 = 5*x. Suppose -m + z = m. Calculate the remainder when m is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -100, -17634 in ascending order.\nAnswer: -17634, -100, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 707177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.43 take away 555899902?\nAnswer: -555899965.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 17*v**2 + 11*v + 16. What is g(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t - f + 125 = 0, -3*t + 4*f = -108. What is the tens digit of (264\/t)\/(6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -111111001100001001?\nAnswer: 111111001100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t + 16. Let m be r(2). Suppose 0 = -4*o + 5*l - 3, 8 + 4 = -o + 5*l. Does 5 divide m - ((o - 6) + -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2136122 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1d24 (base 16) to base 10\nAnswer: 7460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a31 (base 11) in base 6?\nAnswer: -120521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 791?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*v + 11 = 3*g - 919*v, 2*v = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 9, n: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(51\/(-5))*231. Solve d = 6*y + 337 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u + 24 = 3*p, 3*u - 3*p - 6 = 0. Suppose y = -y - 3*t + 28, t + 42 = 4*y. Let a be 1\/(-2 + 23\/y). Solve -u*n + 15 + 4 = -q, 3*n - a = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**2*b**(4\/3)*(b\/(b\/b**(2\/3)))**(20\/13)*(((b\/(b\/(b\/b**(2\/7))*b*b))\/b)\/b*b)**(-9)*(b*((b**2\/b)\/b)\/b)**(-8) assuming b is positive.\nAnswer: b**(7079\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 35*i + 22. Let a(b) = 17*b + 10. Determine 9*a(l) - 4*s(l).\nAnswer: 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 11412*u\/13 - 16279218\/13.\nAnswer: -2*(u + 2853)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(5\/(-40)). Let r = t + 4. Suppose 72 = 4*q + 4*f, -5*q + 3*f + 0*f + 114 = r. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 573955.2 kilograms?\nAnswer: 573955200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Let w = 140 - 99. Let i = w - r. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-42)*(0 - 0). Suppose j = -16*f + 17*f - 3. Let o = 11 + -16. Sort o, f, 2 in descending order.\nAnswer: f, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 8 = -132. Solve f + f = -5*p + 7, -f - d = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3658, -7315, -10972, -14629, -18286?\n\"Answer: -3657*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 9. Let z(o) = -o**3 + 4*o**2 - o - 13. Let i be z(3). Give b(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16524 and 7344.\nAnswer: 66096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*z - 138 = 0, 5*z - 29 - 26 = 21*j + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*b - 55 = -7*b, m - 6*m + 414*b = 418*b + 275 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(22\/12) - (4 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8*n = 24, 4*d - 2*n = 3*d - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 5)\/5)\/(17\/(-51)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-four fifths of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 3 - 7*d**2 + 35*d**3 + 4*d**2 + 2*d + 0 + 4*d**2 to i*d**2 + c*d**3 + b + p*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 99164 and 99166 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7025.96 + -7026. Sort 114, -0.5, h in descending order.\nAnswer: 114, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -216, 5, 3, -560 in ascending order.\nAnswer: -560, -216, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/41659?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 2. What is the nearest to -0.1 in r, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 take away -7597?\nAnswer: 7596.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + 1. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1301 + -1301.04534. Round g to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 16.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + 6.86. Let r = 6.84 - g. Which is smaller: r or 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 6*-2 + 4. Let c be (28\/8 - 3)\/(-1)*d. Suppose -4*i = 4*x - 19 - 9, -2*i = -x - c. Solve 5*g - 15 = 0, 4*g = i*z + 27 + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -12.1. What is the third biggest value in p, 1, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -7. Suppose 9 = 2*i + 6*u - u, 2*u = -5*i + q. Suppose -c - i = -4. Which is greater: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(0*u + 0*u + 8*u)*(6*u**4 + 0*u**4 + 2*u**4).\nAnswer: -256*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 4. Suppose 2*s = 4*s + 14. Let c be z(s). Find the first derivative of 0*j**4 + 4*j**4 + c - 5 - j**4 wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04575 - 2.95425. What is the nearest to 0.2 in 0.1, -3\/8, 2, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 2*p - 15*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 22*q**3 + 2*q. Let d(x) = -5*x + 87. Let m be d(17). List the prime factors of l(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f - f + 4*f + (0*f + 2*f - f)*(4 + 2 - 5) - 2*f + 2*f - 4*f + 5*f - f - 3*f + (-f + 2 - 2)*(-3 + 1 + 0) - 9*f - f + 17*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60216 divided by 12?\nAnswer: 5018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 1 (c) 5.2154 (d) 0.2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8487216 or -8487226?\nAnswer: -8487226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 313551513 a multiple of 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 = -5*p + 3, 3*r + 2*p + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -28.99987. Round p to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7684592 is divided by 32981?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 125\/35 - (-296)\/28. Suppose 4*b - f = 21, -13*b + 3*f + 27 = -d*b. Let t = -9 + 6. Sort t, b, 2, 1 in decreasing order.\nAnswer: b, 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84\/5*u**4 - 349\/5*u**3 - 352\/5 + 348\/5*u + 268\/5*u**2 + 1\/5*u**5 = 0. Calculate u.\nAnswer: -88, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = 5*a. Let v be 3*(a + 8 - 0). Let p(c) = -466*c + 1885. Let l be p(4). What is the highest common factor of v and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 4*c**4 - 2*c**4)*(-2*c + 3*c - 3*c) + 5*c**5 + 4*c**5 - 2*c**5 + c**5 - c**5 + 2*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 9 = -13*n. Let b be (-1 + n)*(-60)\/(-24). Determine l so that -3*l**b + l**5 - l**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d6104 (base 14) in base 13?\nAnswer: b6b655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 22*z + 17. Let i be c(22). Suppose -a = 3*m + i, -m - 2*m - 2*a = 13. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 20. Suppose 2*t - 12 = 4*f, 5*t - m*f = -2*f + 3. Suppose -l - 3*l + 212 = t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -9*g**5\/10 + g**3 - 10*g. Find the second derivative of h(v) wrt v.\nAnswer: -108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-2)\/6)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-3 + -37) - 5. Let g(n) = n**3 - 38*n**2 - 79*n - 37. Let v be g(s). Solve 8 = -l - v*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 566.389506 - 554.9894. Let t = -11.4 + c. Round t to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 * -0.04\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 4*u**4 - 2*u**4 + (-3 + 3 + 1)*(3*u**4 + 0 + 0).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74521.52 millennia to centuries.\nAnswer: 745215.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - x + 161 = 0, 11*x - 7*x - 94 = -2*p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(6\/(-1))*1 - 33\/(-11). Let w(b) be the third derivative of 4\/15*b**6 + 0*b**5 + 0 - 12*b**2 + 0*b**4 + 0*b + 5\/6*b**g. Differentiate w(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 + 4*f - 15. Let n be d(5). What is the common denominator of 1 - (61\/(-42) + n) and 163\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -11. Let m = 11 - v. Suppose -r + 3 = -m*p - 2, -p - 1 = 0. Which is smaller: r or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -347 - -1075. Let u be (11 - 9)\/(2\/n). Let x = -315 + u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 497894385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/516 and -113\/1242.\nAnswer: 106812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7942, 7938, 7932, 7924, 7914, 7902?\nAnswer: 7888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a9 (base 12) to base 5.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 1, q: 1, j: 1, b: 2, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72137606 divided by -163.\nAnswer: 442562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*l**2 + (-l - l + l)*(0 + l + 0) + l**2 + 2*l**2 - 5*l**2 - l**2 + l**2 - 2*l**2 - 5*l - 4*l**2 + 5*l + 4*l**2 + 0*l**2 + 5*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from {c: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0579006 to three dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2*k**5\/35 + 10*k**4\/7 + 12*k**3 + 28*k**2 - 98*k - 975. Suppose h(f) = 0. Calculate f.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1969754354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327*p**3 + 13*p + 176.\nAnswer: -1962*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -932127b3 + 0?\nAnswer: -932127b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 42038600 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 666730 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 10*a + 8. Let l be r(11). Solve u = -4*x - l + 2, 0 = 2*x + 4*u - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 94*t - 1401. Let w be k(15). Calculate the greatest common divisor of w and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -31. Suppose 5*q + 4*x - 122 = 0, 5*x + 95 = 5*q - 0*x. Let h = q + -21. Sort v, 8, h in descending order.\nAnswer: 8, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 + -21224110?\nAnswer: -21224016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**3 - h**2 + h - 3. Let q(p) = 2*p**3 + p**2 - 1. Let t(i) = -3*q(i) + r(i). Let b(s) = 7*s**3 - 9*s**2 + 3*s. What is -2*b(g) + 5*t(g)?\nAnswer: g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 219 = -15*r - 32*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3, -2, -4, 20, 0 in increasing order.\nAnswer: -4, -2, 0, 3, 20, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20)\/(sqrt(4)*1) + sqrt(25)\/sqrt(5)*4.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/6 in -1, 3\/8, -33, -9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 795 = 5*v, 5*v - v - 636 = -2*h. Let n = 231 - v. Suppose -153 = -5*u + 4*d, 0*u + 2*d = -2*u + n. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -8\/9 (b) 3 (c) 2 (d) 16.3 (e) -0.3 (f) -0.1 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -149 + 145 + 40\/12*(-18)\/(-16). Which is the fifth smallest value? (a) 311 (b) 0 (c) -3 (d) -2\/9 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/7)\/((-25)\/3)*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + c - 16 = -40, -2*h + 2*c = -28. Let y = h + -8. Solve -5*q + 0*n = -4*n + 28, -y*q + 3*n = 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -519, -520, -521, -522, -523, -524?\n\"Answer: -w - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**9)**(-3\/28) assuming j is positive.\nAnswer: j**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38545734 by -273374.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-685)\/(-2877))\/((-10)\/(-196)). Let n(p) be the first derivative of q*p**3 + 0*p**2 + 0*p - 33\/4*p**4 - 25. Find the third derivative of n(c) wrt c.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 + 1)*(2 + 0 + 3) - 4*q + q + q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36076367.\nAnswer: 36076367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**0*w))\/w)**(-2\/25))**(2\/11)*((w*w*w**6*w)\/(w*w*w\/(w\/w**(-7)*w*w)))\/(w**(-1\/2)*w*w*w**5*w*w) assuming w is positive.\nAnswer: w**(4133\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-3))\/((-7)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491 bigger than 4598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*x = 283*x - 335*x + 23472 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-2 - 0))*11. Calculate the highest common factor of 33 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - 2*k - 67, 3*k - 59 = -5*u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i - 9. Let p be d(-6). Let f = 7 - p. Suppose -4*c + 8 = -3*h - 5, -12 = -2*c - f*h. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18960 divided by -1264\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882132479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 82, -2\/3, -1\/8, 757 in decreasing order.\nAnswer: 757, 82, 0.1, -1\/8, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -620 (b) 3.9 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in -0.25, -280, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {u: 1, s: 1, x: 2, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(11) + -3 - ((-6*(1 + sqrt(99)))**2 - sqrt(99)).\nAnswer: -3604 - 212*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -673926*-0.17\nAnswer: 114567.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*p = 11, 4*r - 3*p = -5*p. Suppose 17 = -f + r. Let t = 10 + f. Which is bigger: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 162 + 437 = 5*s, -2 = -2*j. Let k(g) = g**3 - 8*g**2 - 8*g + 6. Let c be k(9). Calculate the highest common factor of c and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:10 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 1\/40*u**5 + 3*u + 0 + 1\/36*u**3 + 1\/18*u**4 + 0*u**2. Factor y(p).\nAnswer: p*(p + 1)*(3*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + i - 2 + 3 = 0, -15 = 3*i. Let r be 39\/42 + -1 + 0. Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702297424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/2541 and -3\/9317?\nAnswer: 27951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*-2)\/(sqrt(72)*3).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 78790*z**4 - 787971*z**3 - 2285192*z**2 - 630448*z + 3782400 = 0.\nAnswer: -4, -3, 1, 78800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 - -783. Suppose 12*n - 6*n = y. Let x = -47 + n. Calculate the highest common divisor of 70 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.942975 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310.428 weeks in hours?\nAnswer: 556151.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l**15*l*l)*l)\/l*l)*l)\/l**11*l**(2\/21)\/(l*l\/(l*l**(2\/7))) assuming l is positive.\nAnswer: l**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18552593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2043 = -6*n + 879. Let r = -211 + n. Calculate the highest common divisor of r and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -324454797579.2 and 2.\nAnswer: -324454797577.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001111000 - -1001011110?\nAnswer: 1010011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Let n(i) be the third derivative of -i**4\/12 - 5*i**2. What is n(l(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03171851 minus 0.006147?\nAnswer: -0.03786551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442318?\nAnswer: 2, 221159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 31*l + 3*l**2 + 2*l**3 + 33*l as u + j*l + d*l**2 + a*l**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 89*x - 16. Is b(46) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 11*y**2 - 12*y + 1. Let n be o(-12). Suppose 2 = p + n. Find the common denominator of -95\/34 and (-47)\/22 + 2 + p.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeekeqckeckkec. What is prob of picking 1 q, 1 e, and 1 c?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 6*v**3 + 5*v**3 + 0*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 less than 549590052.725?\nAnswer: 549590126.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120099875 a multiple of 915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1110*a**4 + 32572*a**3\/11 - 12242*a**2\/11 - 8128*a\/11 + 8\/11 = 0.\nAnswer: -1\/3, 2\/2035, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x - 13*x + 4*x)*(-4 - 3 - 2) + 3 - 4*x - 3 + 2*x.\nAnswer: 160*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:59 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 20 = 46. Suppose 0*p + 5*p = -5*n + 95, 4*n - 5*p = 85. Solve -n = -s - r*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45844)\/(-1766016) + 1\/(-32). What is the fourth biggest value in -23, 0, -5, 5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 695\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 - 135*q**2 - 28*q - 210. What is c(34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*p**4 + 5*p**4 - p**4 + (0 + p + 0)*(p**3 + 0*p**3 - 3*p**3) + 0*p**4 + 0*p**4 - p**4 + (-p**2 - 2*p + 2*p)*(-p**2 - p**2 + 0*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26361?\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5200 - -18168. What are the prime factors of f?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/16)\/((-2)\/140). Let f = c - -39. Suppose -8 = f*h - 8*h. Calculate the smallest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18390772187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (38\/6)\/((-845)\/(-210) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let u be j(-1). Let k(z) = -z - 1. Let r(x) = -5*x**3 + 2*x + 5. Let l(c) = u*r(c) - 2*k(c). What is the first derivative of l(w) wrt w?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*g - 94*g + 15*g - 126*g to w*g + l and give w.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -145551 (base 7) in base 3?\nAnswer: -1102222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1804 divide 537920926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let u(t) = 8947*t - 1. Determine u(g(h)).\nAnswer: 8947*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.038 + 43. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6339.6347 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 470006.\nAnswer: -17\/470006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*i + 5*w - 60, 2*i = -4*w + w + 33 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32426107 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-19*u + 79*u + 77*u + 111*u).\nAnswer: 496*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2*j + 5. Let o be i(-2). Solve o*k = -5, -8*h - 4*k - 14 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 + 128*r**2\/3 + 928*r - 1076480\/9.\nAnswer: 2*(r - 40)*(r + 116)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((7 + -6 - 1) + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133 and 6101106?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*o + 446*o + 80 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {h: 1, j: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and 12*(-1)\/(-1868)*(-80)\/105?\nAnswer: 9807","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.658 - 2.62846. What is i rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/8 + g**3\/8 + g**2 - 3*g\/2.\nAnswer: -g*(g - 2)**2*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:38 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -59452*h**2. Let z(o) = -1316*o. Give z(v(k)).\nAnswer: 78238832*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 34 = -4*i, 0 = 2*h - 7*h - 2*i - 28 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33992725 and 650.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o*x**3*z - 533*o*x**3 + 4*o*x**2 + 1042*o + 2*x**3*z - 3*x**3 + 2*x**2*z wrt x?\nAnswer: -30*o*z - 3198*o + 12*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1054830 and 4326.\nAnswer: 108647490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -1602*m**4 - 12671*m - 379. What is the derivative of g(t) wrt t?\nAnswer: -19224*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 163325068*q - 3334384729650578.\nAnswer: -2*(q + 40831267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -527, -1088, -1849, -2804?\nAnswer: -3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/3 + 44*h**4 + 1774*h**3\/3 - 43472*h**2 - 1952288*h\/3.\nAnswer: -2*h*(h - 52)**2*(h + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -325?\nAnswer: -22.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/3 + 2*s**3\/3 + s**2\/2 - 8*s + 10. Give q(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((sqrt(52) + -2*sqrt(52))*-1)\/((sqrt(32)\/sqrt(4))\/sqrt(2)).\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - z**2 - z. Let u be r(0). Are 0.13 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 5*y. Let q(p) = -p. Let f(x) = x + 17. Let l be f(-13). Suppose -m + 11 = -2*g, 0*m + 2*g = -2*m + l. Give m*q(h) - w(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 17, r: 2}. What is prob of sequence lr?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41088\/(-10)*-3 + (-26)\/65?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.44.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) 5 (c) -2990.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 8\/5*o**5 - 44\/3*o**4 + 0*o**2 + 61*o + 2\/15*o**6 + 0 + 32*o**3. Factor y(l).\nAnswer: 4*l*(l - 2)**2*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1682*i**3 - i**2 + 2*i. Let m be o(1). Let n = 26979\/16 + m. Calculate the common denominator of n and -113\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i - 5 + 3 + 2 + 126*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 12*s**2 + 19*s - 96. Calculate h(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(4*(2 + sqrt(176)*2 - (5 + (sqrt(176) - (sqrt(176) + -1)))))**2.\nAnswer: -1024*sqrt(11) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1287*z + 17. Suppose -3*j - 5*u = -u + 19, 0 = -5*j + 4*u - 53. Let f be y(j). Round f to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and ((-39)\/28)\/((-1)\/(-4)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7529.\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 53 - 536 = -41*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 - 50*s**2 + 11*s - 13. Let j be g(34). Find the third derivative of j*p - 99777*p - 40*p**3 + 120*p**2 wrt p.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 4*a**2 + 43 + a**2. Let c(b) = 127*b - 5. Let r(z) = 406*z - 16. Let u(h) = -16*c(h) + 5*r(h). Determine i(u(d)).\nAnswer: 8*d**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*y**3 - 99 + 51 + 2 - 3*y + 3*y.\nAnswer: 189*y**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:14 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5*i - 2. Let u be p(-5). Let x be (10 + -36)\/(u\/1). Let c = -10 + x. Solve 5*d - c - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 - 6*k**2 + k**2 + 2*k**3 + 13*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -6. Let z(a) = -a + 2. Let h be z(-2). Suppose 0 = 7*v - h*v. Solve 5*d = -v*d, n = 4*i + 4*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.655 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523925376?\nAnswer: 2, 103, 115589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 46 = a. Let d = 156 + a. Put 1, 29, d in decreasing order.\nAnswer: 29, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1179 + 1178. What is the smallest value in 0.2, 42, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.37. Let g = -22 + 21.98. Let t = g - 0.28. Which is the third smallest value? (a) t (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1185 - -1303. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1594572583 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 27, 3 in descending order.\nAnswer: 27, 3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 * -2\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(21\/6 + -2). Suppose -6*f + 467 - 413 = 0. Solve r - 1 = -m - h, -f = 3*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1318.839 kilograms to tonnes.\nAnswer: 1.318839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 718ed (base 16) to base 9\nAnswer: 778034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 29. Let n(g) = 8*g - 30. What is -4*l(a) + 3*n(a)?\nAnswer: 4*a + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20848, 41729, 62612, 83497, 104384, 125273?\nAnswer: 146164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**4 + 0*n**3 + 1\/30*n**6 + 4*n + 2*n**2 + 0 + 0*n**5. What is the first derivative of k(a) wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111780663 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*t + 18, -2*i + 25 = 2*t + 19. Solve -t*j + 3*j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 + -1b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55341 divided by 6149?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*1*(-168)\/(-96). Let r be 21\/l - (1\/1 + -11). Solve o = -0*o - 2*a + r, -3 = -3*o + 3*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 633 - 433. What is the highest common factor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -0.1 (c) -11 (d) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 - h - 60 + 0*h + (-3 + 0 + 7)*(-3 + 2*h + 3) to q*h + s and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 241\/3. Let c = 161 + -162.4. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 49*x**4\/4 - x**3\/3 + x**2\/2 - x - 1. Let m(n) = -n**3 + n**2 + 2*n + 1. Let b be m(2). Does 16 divide l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40936051 divided by -13.\nAnswer: 3148927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(1 - 5 - 983*q + 1295*q) to c*q + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01865 - 0.1.\nAnswer: -0.08135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(56\/(-9)) - -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003508685298 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 385, 2883, 9627, 22741, 44349, 76575, 121543?\n\"Answer: 354*c**3 - c**2 + 23*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1 = -w, 0*v + 3*w + 1 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 equal to -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p*p**(2\/9)*p)))\/(p*p**(-3\/2)*p))\/((p*p\/(p\/p**6))\/p*(p\/(p**(-3\/7)\/p))\/p))**(-10) assuming p is positive.\nAnswer: p**(2965\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-16)\/(-48). Suppose -1 = 2*i - z, i + 2 - 4 = 3*z. Is s at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/12 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 9*b - 13. Let f be c(-5). Suppose 3*o = 4 - f. Is 7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -11. Let u(o) = -o**3 - 2*o**2 + 2*o - 3. Let k be u(v). Let i = -5 + 8. Solve -i*j + 5*j + 2 = k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 0 + -2 + -2. Suppose 0 = -2*r + 6, -f + 0*r + 9 = h*r. Solve -3*p + 14 = f*b - b, 0 = -3*b - p + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*f**5 + 2*f**2 - 132.\nAnswer: -20940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106\/177 - -4\/59. Suppose -6 = -0*m - 3*m. Let y be m + -1 - (-3)\/(-4). Is c < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbz when three letters picked without replacement from hhhzdhbhyhhzfhh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 3\/26911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75091.\nAnswer: 61, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3800)\/76 + 8460\/171.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let h(o) = -o**3 - 8*o**2 - 7*o - 6. Let v be h(-7). Let q = -2 - v. Let k(d) = -2*d + q - 4. Determine k(p(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from getekgetegkutttkuat. Give prob of picking 1 a and 1 k.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -500, -674, -520, 70, 1204?\nAnswer: 2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -92*i. Let b be v(3). Let g = 606 - b. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:50 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((sqrt(1250)*-1)**2 + -3)*-5.\nAnswer: -112230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.23 (b) 2\/3 (c) -2 (d) -7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38973 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*r - 4*l, r - 3*l = -4*l + 7. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.2 (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 17\/4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let z = -4 - -3. Let y be 1*z - (-5 + k). Solve -2*h = 2*l + 2*h - 4, y*h = -2*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -37*l + 32*l + 5*t, 284 = 3*l - 5*t. Calculate the remainder when 385 is divided by l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603873118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 9*l - 14. Let y be v(-10). What is the tens digit of (-5)\/(-20) + (-535)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/24 + a**3\/2 + a**2. Let s(j) = j**2 + 19*j - 24. Let k be s(-20). Determine u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.114 and -0.0723281?\nAnswer: 0.0082454034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 254 = -188. Let g(o) = 144*o - 172. What is the units digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*b + 3*j, b + j = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11438 is divided by 2852.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12512, 23905, 35296, 46679, 58048, 69397, 80720?\nAnswer: 92011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1918 = -5*h - r - 1420, -2*r = 6. Let x = h - -1435. Is 48 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9663368.\nAnswer: 2, 11, 13, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/24 + 2*i**3\/3 - i**2\/2 - 2. Let m(k) be the second derivative of o(k). Let u = 6 + -1. Determine m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -0.0916?\nAnswer: 0.000916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -328*l + 86499 - 14995. Calculate the greatest common divisor of l and 20492.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -15 (c) 0.4 (d) -8 (e) 5 (f) -4.26 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 2. Suppose 0 = 7*b + 32 - 11. Let m(n) be the second derivative of -2*n**3\/3 + n**2\/2 + n. Calculate b*m(a) + 2*k(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/141)\/(1\/9*-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/14 + -3\/7. Which is the third biggest value? (a) h (b) -1\/2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5052 divided by 1.\nAnswer: -5052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**9*m)*m\/(m\/m**(-1\/7))*m*(m*m**(-11))\/m*m**(-1\/30))**(5\/14) assuming m is positive.\nAnswer: m**(-667\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 3*l, l + 0*l - 2*q = -3. Suppose -m + 13 = v + v, l = 3*m. Suppose -b + v*b = 85. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1733, -5, 1.7, -1.7 in descending order.\nAnswer: 1.7, 0.1733, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674644 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4698 = -3*s - 4674 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/4 + 3*l**3\/2 - 27*l**2 - l - 349. Factor h(y).\nAnswer: 3*(y - 3)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-36))\/(31\/(-279))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 104190*z + 833512. What is i(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/299, -0.5, -2\/3, -3, 1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 2*v + 1. Let p(u) = -14*u**2 - 6*u + 4. Let y(d) = -4*p(d) + 11*q(d). Let x be (-2)\/3 + 30\/(-9). Let c be x*(-1)\/(2\/(-2)). Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*2)\/(sqrt(2)*4*-4).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 + 36*p**2 + 928*p - 7680 = 0.\nAnswer: -15, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -42960.\nAnswer: -42960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 2*p**4 + p**4)*(-p - 2*p + 2*p) + (-p + p + p**3)*(0*p**2 + 2*p**2 - 4*p**2) + (-5*p - 5*p + 2*p)*(-p**4 + 1 - 1) - 10*p**5 - 20*p**2 + 20*p**2.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.4 - -44. Let m = p + -5.7. Let f = m + -2.8. Sort f, -3, 2\/7.\nAnswer: -3, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 2\/31 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 2*u**3\/3 + 3*u + 4. Let v(z) = -11*z. Give v(r(x)).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93.084 - -6.054. Let h = 87 + n. What is the closest to -2\/7 in 1\/3, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 7*i**2 + 3. Let q be v(-7). Suppose -q*t - 15 = -2*t. Let z = -8 - t. 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 thousands digit of 28532037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472747909932 - 3.4?\nAnswer: 472747909928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 77592 = -0*p. Is (-12 - p)*(-2)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**12*p)*p*((p\/p**1)\/p)\/p)**13 assuming p is positive.\nAnswer: p**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + 68\/12. Suppose -7 = -10*i + 33. Solve 0 = -3*d - u*q + i - 0, -2*d + 10 = -4*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095280 is divided by 273818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-9)\/(-3))*-39. Find the common denominator of i\/21 - (3 + -6) and -14\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 - (-146)\/4. Let u be (-5548)\/8 - (3 - (-15)\/(-6)). Let x = u - -1027. What is the greatest common divisor of x and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -0.02, -1, 0.2, -2 in increasing order.\nAnswer: -2, -1, -1\/10, -0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:02 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28913 - -29109. Calculate the remainder when 641 is divided by g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*q + 44. Let j = q + 67. Suppose b - 7 = -s, -5*b - 2*s + 0*s + j = 0. Solve -2*a + 4 = 2*x, 0 = -x + b*a - 5*a + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112456*h = 112249*h + 8901 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33700 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -411.9065332 from 1.\nAnswer: 412.9065332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3133.99082243494 - -0.2.\nAnswer: 3134.19082243494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 30 = 2*n. Let l(p) = p**2 - 3*p - 4. Let z be l(n). Suppose -y + 35 = i - 3*y, 2*i = -y + 70. What is the greatest common divisor of i and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -3.1 (c) -3\/8 (d) 4 (e) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 + 22\/4. Solve q*t - 9*t = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886973*0.141.\nAnswer: 125063.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 42394788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 5 = -5*g + 4*d, 2 = -2*g + 4*d. Put -13, g, -2 in descending order.\nAnswer: g, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3075030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13973*y + 13928*y + 900 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 4*r - 2. Let h be p(-2). Suppose -l = -h*l + 4. Find the second derivative of -2*a**4 + 2*a**4 - 2*a**l + 2*a wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u**2 + 5*u - 140. Let n(l) = -2*l**2 + l + 1. What is -a(v) + 5*n(v)?\nAnswer: 3*v**2 + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w - 15. Let z be a(4). Factor -47*s**4 + 21*s**4 + 16*s**4 - 6*s**2 + z*s**4 + 3*s**3.\nAnswer: 3*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + ((-2)\/(-4) - (-47 + 48)). Put 4, -3, 1, 0, a in decreasing order.\nAnswer: 4, 1, 0, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7114474 is divided by 1263.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 3, z: 3, u: 1, i: 1, v: 2}. What is prob of picking 1 i and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*y + 70 = 0. Let b = 39 + y. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152434 (base 6) to base 13\nAnswer: -21cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 305 = -11*p. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 19762730.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 76. Let w = p - 27. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.414183ng?\nAnswer: 0.000000000007414183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 + -155. Let k = a + -66. What is the third smallest value in 2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247972 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccccccccccpcccccp. What is prob of picking 3 p?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.74 (c) -1\/3 (d) -2\/13 (e) 51 (f) -3 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/6*(-99)\/4. Let v = -36 - o. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358159805?\nAnswer: 5, 41, 1747121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 102*d - 1701. Determine h(17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5 - 13072*g**4 + 5254816*g**3 - 5176328*g**2 - 26169372*g - 15725160 = 0. What is g?\nAnswer: -3630, -1, 3, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/141446 and -37\/17730.\nAnswer: 6365070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 46*i + 588. Let q be y(13). Solve q*r - 7*k + 12*k - 32 = 0, 0 = r + 5*k - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 3. Suppose 2*t = 7*t - 20. Let f(i) = -6*i**2 - 5*i - 5. Let u(z) = 5*z**2 + 4*z + 4. Let s(y) = t*f(y) + 5*u(y). What is s(x(p))?\nAnswer: p**2 + 6*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 20*k + 16 + 115*k.\nAnswer: 95*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15134546 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/54 and -1*6\/(-4)*76\/(-126)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4*(-26)\/(-18). Let q = -5\/4 + r. Suppose 0 = u - f + 2, 2*u + 0 - 8 = -4*f. Is q equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, -1, 5.\nAnswer: -236, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39555 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {b: 1, r: 2, l: 5, g: 1, h: 2, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twkkpppp. What is prob of sequence ppp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 + 1596*u - 99296 = 0.\nAnswer: -856, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/3 + h**2\/2 + h - 7. Let b(x) = -7*x**2 + 5*x + 4. Calculate -b(o) + 6*f(o).\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 2\/5 (b) 7 (c) -56 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:34 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(160\/(-168)))\/(12\/((-12)\/3))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 625*f**2 - 9*f + 29. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose 0 = 4*h + m*d - 8, 0*h + 5 = 5*h + 5*d. Suppose 955 = 5*g - 5*n, -h*n + 955 = 6*g - g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2620, -2615, -2610, -2605, -2600, -2595?\nAnswer: -2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455 + -574. Put b, 4, 1\/10 in descending order.\nAnswer: 4, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 15*h**2 + 36*h + 19. Give r(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10318 - 10315. Let x(l) be the first derivative of 5\/3*l**y + 9\/2*l**4 + 0*l + 9 + 0*l**2. What is the third derivative of x(n) wrt n?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/5, 47, -1, 3, 1 in ascending order.\nAnswer: -6, -1, 1\/5, 1, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-59)*(-270)\/(-54)*20\/350?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1496, 2997, 4498?\nAnswer: 5999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 54 - b**3 - b**3)*(-35 - 16 + 33).\nAnswer: 36*b**3 - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-4)\/10 - -2). What is the closest to a in -2\/3, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-1)\/(-5)). Let k = -11413\/7 - -1630. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*d - 3 - 42 + 38)*(9 - 3 + 1).\nAnswer: -266*d - 49","meta":{"dup_signals":{},"source":"polynomials__expand_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: Four letters picked without replacement from dhpdfdlhph. Give prob of picking 3 h and 1 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (-5 + -1 + 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4083 + -0.4082144. What is m rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12313 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 1408 - 1408.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460559, 920838, 1381115, 1841390, 2301663, 2761934?\nAnswer: 3222203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y + 15. Suppose 0 = -9*x + 4*x - 65. Let o(k) be the second derivative of -5*k**3\/6 - 7*k**2\/2 - 2*k. Determine x*o(g) - 6*q(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 117?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 30 = -9*g. Let d = 150 + 15. Calculate the highest common divisor of g and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 2, -182, -11.\nAnswer: -182, -11, -2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1524, 3046, 4568, 6090, 7612?\nAnswer: 9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-2))\/(-7)*0. Let u = a + 0. Let h(z) = z + 9. What are the prime factors of h(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*(-12)\/(-168)*(-16)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7171.3.\nAnswer: -7168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171 and 0.3.\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1345475673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 124*z.\nAnswer: -4*z*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((34\/(-153))\/2)\/(4\/12)*22\/8.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4352 to 1 decimal place.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -473\nAnswer: -5\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 49 = 3*y, -3*y + 0*y + 92 = 2*z. Calculate the greatest common factor of 301 and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 392165?\nAnswer: -392164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15958 or -15954?\nAnswer: -15954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/4860 - (68\/840 + 0)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83766.01 + 0.\nAnswer: -83766.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x = -16*x - 5504. Let d = -690 + x. Put d, 13, 2 in ascending order.\nAnswer: d, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f**2 - 11*f + 45. Let m be a(2). Solve 18*q - m = -97 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 412*x**3 + 131 - 822*x**3 + 408*x**3.\nAnswer: -2*x**3 - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -112201 (base 3) in base 2?\nAnswer: -110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 3*d**5 + 0*d**5 + (-d**3 - 2*d**3 + d**3)*(0 + 2*d**2 + 0) + 4*d**5 - 3*d**5 - 2*d**5.\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -17*p**3 + 292*p**2 - 81*p + 513. Let d be o(17). Factor -2106\/11*i**2 - 4\/11*i**4 - 4394\/11 + 9802\/11*i + 158\/11*i**d.\nAnswer: -2*(i - 13)**3*(2*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2656*v**3 - 5*v - 5. Let z(a) = -1412991*a**3 + 2661*a + 2661. What is -2661*i(x) - 5*z(x)?\nAnswer: -2661*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5073\/4806 + 6\/(-18) + (-21)\/(-27).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*i - 162*i = 3564 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 - 5*k + 3. Let m be (-7)\/(-2) + 1\/(-2). Let i be q(m). Is 8 a factor of i\/((-3)\/(-2)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**4 + 3202*m**3 - 205494*m**2 + 1009422*m - 313760 = 0.\nAnswer: -592, 1\/3, 5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -685, 130, 2301, 6494, 13375, 23610?\n\"Answer: 111*u**3 + 12*u**2 + 2*u - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1292, -2586, -3880, -5174?\nAnswer: -6468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -1\/2, -5, -1\/4 in decreasing order.\nAnswer: 158, -1\/4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/4 + 81*t**3\/4 - 4093*t**2 + 39261*t - 92916 = 0.\nAnswer: -178, 4, 6, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 - 1038*a**3 - 12075*a**2 - 16944*a + 30060 = 0. Calculate a.\nAnswer: -334, -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*n - 188, 4*h - 32*n - 188 = -27*n. What is the remainder when 313 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11775 is divided by 2937.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12636 - -12631. Let l be (-3)\/36 - 4\/6. Put -12\/13, l, r in decreasing order.\nAnswer: l, -12\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 2235, 4, 0.4, -0.1, 0.05 in descending order.\nAnswer: 2235, 4, 0.4, 0.05, -0.1, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 40. Let c(s) = 4*s - 7. Let b be c(w). Suppose r + 2*r = b. Solve 0 = 3*j - 12, -2*z + r*j - 5 = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2501, -2503, -2505, -2507, -2509, -2511?\n\"Answer: -2*d - 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, 4, 152, 1\/4, -4, 747?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 8 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2731, -2738, -2749, -2764?\n\"Answer: -2*p**2 - p - 2728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*i + 432*i + 429*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from jsshsjjaajaaj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11350, 22736, 34150, 45598, 57086, 68620?\nAnswer: 80206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*i - 2*i - 4*i + (2*i + 0*i - 5*i)*(0 + 0 - 1) - i + 0*i - 4*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 667*i**5 + i**4 + 8*i**3 + 738559*i**2?\nAnswer: 40020*i**2 + 24*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 11*r**2 - 8*r + 98. Let f be v(11). What is the greatest common factor of f and 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j - 0. Let y = j - -6. Let h be y\/6*(1 + 5). Solve h*v - 5 = 3, 2*v - 4 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -2*z**7\/21 + z**4 - 19*z. What is the third derivative of l(x) wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -98, -174, -268, -380, -510?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 3*a + 2. Let n be h(-2). Let j be (3 + (n - -2))*-1. Is -5 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8236804 rounded to four dps?\nAnswer: 0.8237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 9 + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {e: 1, w: 4, k: 4, z: 6, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 264*u + 3. What is the tens digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33697 is divided by 283?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 489\/(-7) - 1*1\/7. Let n be 32\/56 - (-5)\/(v\/(-6)). Are n and -4\/31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4802216 + -0.1.\nAnswer: -4802216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5549\/24 + 1343\/6. Calculate the common denominator of 159\/14 - (5 + -9 - -7) and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*z = -0*z + 16, -4*z = -5*m - 16. Let q(w) be the first derivative of -2\/33*w**3 + m*w + 0*w**2 - 3 + 1\/22*w**4. Factor q(d).\nAnswer: 2*d**2*(d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1425530 (base 13) to base 11.\nAnswer: -3669134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjujujjgjjgjyyjjyij. What is prob of picking 2 j and 2 u?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 minus -0.18?\nAnswer: -88.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191 - -194. Solve u*k + 6 = -2*i, -3*i + k = -0*k + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**3 + 405*y**2 + 95*y - 1973. What is d(29)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90343 is divided by 167.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3958, -8131, -12352, -16621, -20938, -25303, -29716?\nAnswer: -34177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + (468\/(-4))\/(-9). Let q(h) = 2*h**3 + 6*h**2. Let k(b) = -3*b**3 - 11*b**2. Give v*q(g) + 3*k(g).\nAnswer: g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 9 - 11*z + 12 + 5*z**2. Let o be n(5). Let r be 28\/2 - (o - 2). Solve 0 = 3*i + 3 - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 3. Let u be j(-4). Let s = 0.26 + -0.2. Let v = s - 5.06. Which is the nearest to 1? (a) u (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + z - 1 + 3*z**3 + 0*z - 5*z**3 - 4*z**3 as r + t*z**2 + a*z**3 + g*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228 (base 12) to base 14.\nAnswer: 18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9337245.\nAnswer: 3, 5, 622483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10\/9)\/(r*(r\/(r*r**43)*r)\/r*r*r*r))**(1\/43))**(2\/43) assuming r is positive.\nAnswer: r**(682\/16641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 26703 (b) 4 (c) -7\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by 876.\nAnswer: 127\/876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100\/3 + -34. Which is the nearest to -0.08? (a) -1\/4 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/2 - -4) + 10. Suppose -5*i + 2*i = -n + 104, 382 = 3*n + s*i. Let u = n + -103. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)\/i*i**(-2\/3) assuming i is positive.\nAnswer: i**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452404 divided by -13306.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39873.6372 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 + 51146\nAnswer: 51145.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10034536 divided by -23?\nAnswer: -10034536\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6484 (b) -1\/4 (c) -0.4 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4*t + 282 - 196, -15*t - 294 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:41 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.5. Let j be -3 - (1 + -2 - 3). Which is the second smallest value? (a) j (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 42*m - 102 + 278 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/72 and 21\/860?\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/3 and 3319\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by -140921?\nAnswer: -213\/140921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7846 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65.27 or -2?\nAnswer: -65.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -11632193.\nAnswer: -81425351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, b: 1, o: 1, c: 1}. What is prob of sequence bjt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 757 + -721. What is the common denominator of -151\/60 and -3 - (93\/h + -5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bfd - 0?\nAnswer: -bfd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72501519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6, 3\/2, 3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49\/93 - -436\/651. What is the closest to 326 in -3\/5, c, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlereeelrkleerk. What is prob of picking 1 e, 1 k, and 1 l?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1538\/11 - 140. What is the smallest value in 0, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*4\/32 - (187\/(-22) - 6). Put -1, -2, 5, z, 1 in descending order.\nAnswer: z, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*n + 5*a - 36, 2*a + 67 = -5*n. Let b be (-2)\/(-4) + n\/2. Let u(z) = -3 - 8*z - 4 - 2*z**2 + 4*z**2 - 3*z**2. Give u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 166 = -28*r + 2167*g - 4348*g + 2177*g, -32 = 5*r - 3*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1000 + 2252520?\nAnswer: 2253520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let a be m(-3). Solve -2*y + 2*b + 9 = -3, 5*b = -a*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 33.5?\nAnswer: -33.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -933 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16*o**2 + 3*o - 3. Let w(f) = -49*f**2 + 11*f - 9. Calculate 7*d(l) - 2*w(l).\nAnswer: -14*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11 and 83*(-2)\/114*(-33)\/(-22).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from uvuvquuuvuv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x*y**4 + 8*x*y**2 + 2*x*y - 152*y**4 + 5 wrt y.\nAnswer: 48*x*y - 3648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 34*b - 11. Calculate the remainder when 326 is divided by p(31).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quupuqupquuquu. What is prob of sequence qup?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, -4, 8 in descending order.\nAnswer: 8, 3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1078005175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110538 to six dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/112 and (-1533)\/438 - (-1289)\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 199*d**3 - 2*d**2 + 3. Let x be u(2). Let p = -1035 + x. Does 69 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f**2 - 3*f + 2. Let q(u) = 42*u**2 - 13*u + 8. What is -18*d(o) + 4*q(o)?\nAnswer: -48*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d. Let u(f) = -2*f + 1630. Give u(c(i)).\nAnswer: -40*i + 1630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1748 divided by 12224.\nAnswer: 437\/3056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 0, 0 = 5*t + 3*n - 2*n + 52. Let z = t + 15. Calculate the remainder when (4\/(-3))\/(z\/(-108)) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1383 - -1379. What is the closest to -0.1 in -1, 0, p, -13.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6449.\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170783298 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*p - m, m + 505 = 2*p + 489 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106, -229, -338, -427, -490?\n\"Answer: b**3 + b**2 - 133*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-1 + 12 - 10)) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12 - (-3875)\/930?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 493\/4. Let h = 16.8 - 16.6. Which is the closest to h? (a) 4 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 57*s - 166. Determine o(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10) + (3 - (0 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10457589 less than -13.6461?\nAnswer: -10457602.6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 + 3*r + 3. Let x be y(3). Let o be 0 - -1 - x\/6. Suppose -i = -0*i - 1. Which is the nearest to i? (a) o (b) 3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622904?\nAnswer: 2, 3, 19, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.064 decades in months?\nAnswer: 45487.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-1))*v\/(v\/((v*v*v**6)\/v))*v*v assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 8. Let w be d(-6). Let r be w\/(736\/(-4218)) + 3\/(-4). Let j = -5441\/207 + r. What is the common denominator of -67\/6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.04 - -797.04. Let k = x + -874.4. Round k to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*a**2\/11 + 2546*a\/11 + 164\/11 = 0. Calculate a.\nAnswer: -41, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 35862*t.\nAnswer: 3*t*(t - 11954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-14))**(-2\/7))**(-34))**(-29) assuming y is positive.\nAnswer: y**(25636\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(400) - (2*sqrt(400) - sqrt(400))) - sqrt(400) - sqrt(400))\/(1*sqrt(648))*-3 + 4.\nAnswer: 4 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1241034 (base 7) to base 5\nAnswer: 20124420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.77. What is the nearest to a in -0.1, 4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (2 - (51 + -37))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -5. Let p = 21 - f. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 3) to base 15\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-14) - (3635\/(-175) - -20). Let s be (-1)\/(-3) - (-38)\/3. Let c be (s\/(-7) + 2)*1. What is the closest to v in -1, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.313 + 1.313. Let u = -3.93 - -3.7. What is the nearest to u in -4, 0.5, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let d = 259 + -256. Suppose -d = -2*m - 11, 0 = -4*x - m + 12. Solve 0 = -x*o + 5*o + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3239, -2253, -603, 1711, 4689?\nAnswer: 8331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 0. Suppose 0*o = -2*o + 5*z + 45, -z + 1 = q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1028 and -24042880.\nAnswer: -24042879.8972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*s**2 + 93*s**2 - 2 - 132*s**2 - 2*s to the form t + k*s + i*s**2 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7072 and 476?\nAnswer: 49504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -43*l + 1375. What is f(33)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*z - 884620 = 40*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 228\/(-44) - (-158)\/(-22). Let b be (33\/(-7) + 3)*l. What is the second derivative of -2*t**2 - 23*t + t**2 - b + 12 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512)*-4 + sqrt(8))\/sqrt(4)*-2*-2*4.\nAnswer: -496*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -157 in -2, 1\/5, -10, -0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -202709900 to the nearest 100000.\nAnswer: -202700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 74*s**2 - 76*s + 12. Let v be d(38). Suppose 32915 = -v*m + 17*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Let u = 0.5 + 0.1. Let v = u - 0.4. Sort c, v, -2\/15 in increasing order.\nAnswer: -2\/15, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9925 - -9880 - (-2 + -10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 22*m. Let d(n) be the second derivative of 0*n**3 + 0*n**2 + 0 + 5\/12*n**4 + 18*n. Give d(t(x)).\nAnswer: 2420*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 491 - -2025. Calculate the remainder when b is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34858, 34808, 34756, 34702?\n\"Answer: -z**2 - 47*z + 34906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 335160021\/(-84) - (2\/(-8))\/1. Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 868129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/16 + q**3\/12 - 5*q**2\/8 + 3*q\/4 + 95. Factor l(z).\nAnswer: (z - 1)**2*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:36 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -35454 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59752234, 59752236, 59752240, 59752246, 59752254, 59752264?\n\"Answer: a**2 - a + 59752234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + k = -25, -128*m + 3*k = 1102 - 567 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.196, -17, 3, -137?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 204, -4 in decreasing order.\nAnswer: 204, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 6}. What is prob of picking 2 y and 1 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(4 - 0) - ((-17)\/(-3) - -1). Which is the nearest to m? (a) 5 (b) -0.101 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -16 - (4 + -6) - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -5\/7 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -2271, -7692, -18267, -35718?\nAnswer: -61767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22833.24ml to litres.\nAnswer: 22.83324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 - s**2 - 1. What is w(2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -1. Let u = y - -7. What is the nearest to u in 1, -2\/11, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.07, -5\/2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/16382076 and 125\/468.\nAnswer: 638900964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2012121?\nAnswer: 2012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 1 - 13. Which is the nearest to -0.2? (a) q (b) -0.3 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8*(-4)\/40)\/((-2)\/330). Let c = -136 + h. What is the closest to c in -0.06, 0.1, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -742 + 2967\/4. Let y = 6.874 - -0.126. Which is the closest to -1? (a) y (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 4\/3, -28, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25821361*j**2*v + 5*j - 1252*v - 2 wrt j.\nAnswer: -51642722*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-3)\/i*i*i)\/i**(-1))\/(i*i**(-5)*i**(-2\/5)) assuming i is positive.\nAnswer: i**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*m = -4, -3*u + 3 = 3*m + m. List the prime factors of (u + (-104)\/12)\/(2\/(-84)).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 + 2*j - 2. Let r be k(4). Let h = r - 117. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3150 at least -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3\/4, 3, -1\/29, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000623 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3543 (base 6) to base 11.\nAnswer: -708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 3*m, -8 = 3*y - 4*m. Let r = y - 0. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38530, 38238, 37750, 37066, 36186?\nAnswer: 35110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1302 and 65\/98.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460\/(-519) - (-68)\/(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -30407*h + 1550748. Give t(51).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 123. What is the remainder when 279 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9788, -5, 5, -20, 37, 0, 3 in ascending order.\nAnswer: -9788, -20, -5, 0, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170298944 a multiple of 2715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let o = 5 + m. Let j = o - -12. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -999905 greater than -999904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/3? (a) -2\/23 (b) -0.3 (c) 2\/9 (d) -1\/4 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2411 (base 5) to base 6.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 times 210?\nAnswer: 16380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -983 and -3.594.\nAnswer: 3532.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:50 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*z - 2835, -3*z + 711 = -2*z - g. Suppose 4*q + 2*s - z = 0, 0 = -2*q + s - 218 + 564. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101100101 - 1111101?\nAnswer: -1010111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 2*z - 17905. Let u(o) = 6*o. Determine u(x(g)).\nAnswer: 18*g**2 - 12*g - 107430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2465524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -453*b**3 + 4*b**2 + 4*b - 3. Let r(t) = -453*t**3 + 5*t**2 + 5*t - 4. Determine -5*m(f) + 4*r(f).\nAnswer: 453*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 2*k, 5*k = -3*d + 4 - 1. Let r be (-5)\/3*12\/(-4)*d. Solve -2*g = 2*t - 4*g + 10, -r*t + 4*g = 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o + 88. Give w(-20).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 3809243684*f**3 + 0*f**2 - 3809243668*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-24)\/(-33))\/(117\/429).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let y = t - 4. Which is the biggest value? (a) y (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1466035 (base 8) to base 13.\nAnswer: 119765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/(-9) + 4)\/((-2)\/(-3)). Suppose -4*q + t + 12 = -0*q, 4*t + j = -q. Solve q*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509587, 1019096, 1528605, 2038114?\nAnswer: 2547623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51857 and 4381.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 2 in ascending order.\nAnswer: -11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -68*i**3 - i**2 + i. Let x be p(1). Let q be x + -6 + (-3 - (-2 - 1)). Let d = q + 100. Solve -5*v + 10*v = 3*b - d, b + 4*v + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2104, -2134, -2168, -2206, -2248, -2294?\n\"Answer: -2*m**2 - 24*m - 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/16893 and -49\/8?\nAnswer: 135144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d. Solve -2*l + 3*f - 14 = -d*f, 0 = 3*l + 5*f + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.2 - -108.8. Let c = -247 + m. Let n = c - -108.0138. What is n rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/12 + -1\/12. Let g = 0.0877 - -0.4123. Let p = 0 + -4. Which is the biggest value? (a) p (b) -3 (c) g (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 79116*y**2\/5 + 185843658*y + 550148459080.\nAnswer: 2*(y + 4468)*(y + 17545)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*j + 4 = 0, -5*o - j = -5*j + 1. Let y be o\/6*(-2)\/4. Suppose 3 - 5 = 2*s. What is the second smallest value in -0.5, y, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*d - 9 = 0, 0 = -2*h + 3*h - 5*d + 12. Is 2 - h - (1 + -55) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 513.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1044, 1, 9, 3 in ascending order.\nAnswer: -1044, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9730755 or -1?\nAnswer: -2\/9730755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**6\/120 - m**5\/30 - 8*m**3\/3 + 1. Let d(u) be the third derivative of n(u). Find the second derivative of d(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -86 (b) 2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/7 or 194797?\nAnswer: 194797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:13 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.6. Let v = t + 0.4. Let y = 7 + -5. Which is the closest to v? (a) -0.4 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576444213.\nAnswer: 1576444213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2370 and -0.280892?\nAnswer: 2369.719108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/9 - ((-1476)\/(-162) + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -147.\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-4) - 3 - -6)\/((-8)\/(-32)). Solve 33 + 18 = i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q**(4\/3)\/q))\/q))\/(((q\/q**0)\/q)\/q)*q*q**(-5)*q\/(q*q**2))\/((q**2*q)**(20\/7))**6 assuming q is positive.\nAnswer: q**(-1157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 5653, 12772, 22753, 35596?\nAnswer: 51301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x**2 - x - 24. Calculate the remainder when p(-4) is divided by (-400)\/(-14) + 1290\/903.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3879181 is divided by 554167.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*c*p*q**3 + 2*c*p*q**2 - 7*c*q**3 + 7*c*q + 6*p*q**3 + 831*p*q**2 - 2*q**3 - 7*q**2 wrt q?\nAnswer: -804*c*p - 42*c + 36*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 - 15*r**4 + 144*r**3 + 756*r**2 = 0. Calculate r.\nAnswer: -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkikahiiaiiak. What is prob of sequence iaha?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3281*t - 13 + 40 + t**2 + 3276*t wrt t?\nAnswer: 2*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 4*w**2 + 3*w. Let b = 203 + -82. Suppose 4*f - 15*f = -b. Suppose -f*r + 2*r - 45 = 0. Calculate z(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.56496 seconds in microseconds?\nAnswer: 7564960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 35. Let y = -0.025 - 10.475. Let b = u + y. Sort 0, b, -0.1 in decreasing order.\nAnswer: b, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -257.1467395 and 3.\nAnswer: -254.1467395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**3 + 8*z**2 + 8*z - 14. Let y(v) = 4*v**3 - 5*v**2 - 5*v + 9. Let n(o) = 4*o. Let k be n(-2). What is k*y(x) - 5*f(x)?\nAnswer: -2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -242\/5. Let m = 0.16 - -1.24. Let b = 0.4 - m. Is z less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10501*s**3 + 9*s**2 - 562750*s - 2 wrt s.\nAnswer: 63006*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 6. Suppose 0 = 3*b - 5*x - 11, -x = j*b - 2*x - 9. Suppose 3*d - d + 60 = 4*u, -3*d = b*u - 30. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*((-12)\/40)\/(40\/50).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75584 times -0.4\nAnswer: 30233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*n = 0, -5*o - 7 + 25 = -4*n. Suppose -4*z - 10 + o = 0. Let b be z\/(-11 + (5 - 2)). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53544 is divided by 13352?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (35\/(-4) - -8)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-6)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4180613*d**3 - 3*d**2 + 46*d + 5560 wrt d.\nAnswer: 25083678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.572 + -31.572. What is the fourth smallest value in d, 1, 3\/2, 29, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 480166 from 2030.2.\nAnswer: -478135.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 83690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 1. Let g(c) = -3*c**2 - 10*c + 5. Let n(r) = g(r) + 5*z(r). Let h(u) = -7*u - 126. What is n(h(j))?\nAnswer: -147*j**2 - 5292*j - 47628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thhh when four letters picked without replacement from {a: 2, h: 4, g: 2, t: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3 + 1576*m**2 + 51529990*m - 115498649100 = 0 for m.\nAnswer: -5622, 3205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/4 + s**3 - s**2\/2 - 2. What is the units digit of y(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**20)\/(f*f*f**(-4\/5))*f**(-5\/4)*f*f**(11\/3) assuming f is positive.\nAnswer: f**(-1007\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*j = -190, -8 = u - j + 58. Let c = 106 + u. Calculate the remainder when 2\/(-3) - (7 - (-3122)\/(-21)) is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -338 - -2.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 130, 262, 394, 526?\n\"Answer: 132*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aed (base 15) to base 9.\nAnswer: -8017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/14 + (-6)\/52. Which is the second smallest value? (a) 2 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**8\/5040 + o**6\/720 + o**5\/30 + 2*o**2. Let n(b) be the third derivative of m(b). Find the first derivative of n(i) wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5804073 is divided by 427?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b26ae (base 16) to base 6.\nAnswer: -23355154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/124 + (-35063487)\/(-5177)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 13*h**7\/21 + h**4\/4 + h**3\/6 + 44*h**2 + 68*h. What is the second derivative of q(f) wrt f?\nAnswer: 520*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.36. What is the nearest to 4 in -2\/13, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -7*j + 5*h, -h + 241 = 22*j - 19*j. What is the greatest common divisor of 7585 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -244258203, -488516407, -732774611, -977032815, -1221291019, -1465549223?\n\"Answer: -244258204*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 828 and 49128?\nAnswer: 147384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*b**2*j**3 - 1363*b**2 - 10*b*j**3 wrt j?\nAnswer: -39*b**2*j**2 - 30*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3\/14)*(r\/r**(-25))\/r)**(-7\/3))**28 assuming r is positive.\nAnswer: r**(-5138\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/(l*l\/(l\/(l*l**(2\/13)))*l)*(l\/l**(-2\/5))\/(l\/l**10))**25 assuming l is positive.\nAnswer: l**(3005\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632 is divided by (-76)\/(-114)*(-1)\/(-2)*(-4 - -157).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 11671 + 7607 = 0. Find the third derivative of 152*v**6 - 2754*v**4 + 14*v**2 + o*v**4 - 188*v**2 wrt v.\nAnswer: 18240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17091 divided by -3\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5374 - 5372. Which is the closest to 1? (a) z (b) -80 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1054 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706*q + 8945400 = 740*q. Round q to the nearest one thousand.\nAnswer: 263000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-81)\/(-12))\/(-9))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2*3\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.3, 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = 786. Suppose -173 = -3*z + m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*g - 52, 5*x - 2*x - 29 = -2*g. Let h(c) = c**3 - 8*c**2 - 19*c - 1. What is the tens digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + -6 + (27 - 10). Solve 4*c = -20, 5*c - g + 50 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 12. Let h = g + -4. Suppose -3*x + 0*x + 3 = h. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011000111011 (base 2) to base 10\nAnswer: -17979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + 1. Solve 0 = q - t*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*h*u**4 - 179*h*u**2 - 305*u**4 - 158*u**3 - 1939*u**2 + 3*u + 12 wrt u?\nAnswer: -1800*h*u - 7320*u - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 2252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -557.77479259\nAnswer: 558.27479259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 524099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 26*v - 40 + v**2 - 2*v**4 - 2*v**3 - 8*v + 42 in the form l*v + z*v**2 + h + p*v**3 + a*v**4 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 + 3*u**4 + (-12*u + 12*u - u**2)*(-u**2 + 0*u**2 + 0*u**2) + 5*u**4 - 2*u**4 + 0*u**4 + (u**2 - 3*u**2 + 3*u**2)*(-7*u - 2*u**2 + 7*u).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47774 + 146271 + 138223 = 2152*i for i.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 1. Suppose t = -2*u + u. Let l be (-1)\/(u\/(-30)) + 4. Which is bigger: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 4, -6, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34366975\/237 - 4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + q + 2*q)*(-7147 - 7772 + 8451) in the form i*q + x and give i.\nAnswer: -6468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.1, 2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(8\/7)*p*p))\/p*(((p**(1\/4)\/p)\/p)\/p)\/p*p*p*(p**(-1))**(1\/13) assuming p is positive.\nAnswer: p**(-1809\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.4, 0.5, -3.9 in decreasing order.\nAnswer: 2\/3, 0.5, 0.4, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8660 and 1692164?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 16. Let x be l(4). Suppose x*m + 16 + 12 = 0. Let u = 25 + m. Which is smaller: 17 or u?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21594 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 2. Suppose 5 = -5*r, -4*r = 3*v - 26 - 12. What is the remainder when v is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.69999989 - 2.7. Round f to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241064, 241090, 241098, 241082, 241036, 240954?\nAnswer: 240830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/31 in -1526, 2, -6.73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*302\/5285*(-21)\/246?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*t - 23 = 0, -5*t - 37192 = -42*j - 37392 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 10*i**3 - 6*i**3 + 17*i**3 + 3*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.090476, 0.4, 0.29?\nAnswer: 0.090476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((3 - 16) + 9 + -24)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y. Suppose y = -2*o - 2*o + 12. Suppose 0 = -o*n - 50 + 305. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051256 rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u)**(-3\/17)*(u*u\/u**(2\/3)*u*u)\/u*u*u**(-1)*((u**0*u*u)**(-5\/13))**(-6\/7) assuming u is positive.\nAnswer: u**(59651\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 524763853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*1*-30. Suppose -u*q - 239 = -11*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 5*x**2 + 57*x - 5. Let t(r) = -2*r**3 - 3*r**2 + 29*r - 3. Give -3*g(q) + 5*t(q).\nAnswer: -q**3 - 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49513\/12 + -4126. Let p(n) be the second derivative of 0 + g*n**4 - 7\/6*n**3 + 5\/2*n**2 + 4*n. Calculate p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 188558070*y + 1777707288106245.\nAnswer: 5*(y + 18855807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*y = 12, 28 = -2*z + 5*y + 12. Suppose -5*u = -h - 12, z*h - 10*u = -8*u. Sort -7, -1, h, 0 in descending order.\nAnswer: h, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2.2.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 0*g**2 + 537 - 360 to t*g + h*g**2 + d and give d.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -13*i + 3508. Suppose l = -l + i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**7\/1260 - v**6\/180 + 3*v**4\/8 - 6*v**2. Let h(q) be the second derivative of w(q). Let h(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4682619010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, 1, -23, -8 in increasing order.\nAnswer: -23, -8, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccqqvvvvvccqq. What is prob of picking 2 q, 1 c, and 1 v?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*u - 5*g, g = -2*u + 15. Suppose 2*y + 23 = u*a, 6*y + 16 = 2*y + 4*a. Calculate the greatest common divisor of y and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*a**2 - 1 + 4*a - 121*a**2 - 161*a**2 + (-a**2 + 4 - 4)*(1 - 4 + 2).\nAnswer: -198*a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 4986.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100011000101110000011 (base 2) to base 16\nAnswer: 118b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 j when three letters picked without replacement from {j: 1, b: 1, s: 2, u: 1, p: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t + 1. Let a(i) = 8*i**2 - 5*i - 21. Let g(x) = a(x) - r(x). Is g(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -21*i**2 + 539*i - 1595. Determine o(3).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let h(o) = -9514*o - 6. What is h(i(l))?\nAnswer: 9514*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*k**5 + 4*k + 210?\nAnswer: 3320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 65\/8, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 381601707 to the power of 1\/2, to the nearest integer?\nAnswer: 19535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 10, -4*h + 9 + 15 = 2*s. Suppose -i + 4*j = 3*i + 16, h*j = -10. What is the least common multiple of 30 and (-448)\/(-42) + (-8)\/i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 54. Let q be r(49). Suppose -3*d = 5*o - 1830 - 279, -q*o + d + 2097 = 0. Does 70 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21475498 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) 0.3 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -919*k - 46*k**2 + 919*k - 15*k**2 as a*k**2 + c + x*k and give a.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39 - 407 - (0 + -2 - -8). Which is greater: -376 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 4. Let w be y(1). Determine n, given that 8*n**w + 4*n**3 + 6*n**4 + n**4 + 8*n**2 - 3*n**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157077537 or 157077535?\nAnswer: 157077535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.25 (b) 10\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 363 = -323. Suppose n - 12 - i = 3*g, 0 = 5*n + 5*g. Let c(k) = -6*k**3 - 4*k**2 - 2. Let v(d) = 7*d**3 + 5*d**2 + 2. What is n*c(h) + 4*v(h)?\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 8 = -14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -298.\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h + 0*h - 3 + 2*h. Let a be f(-5). What is the remainder when 2 is divided by a\/(-36) - 14\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {f: 2, z: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 89. Suppose -2*q - 2*s = -26, 9 = 4*q - 3*q + 2*s. Suppose q*d + 70 = 3*d. What is the nearest to u in -1, 0.8, d?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + 46*j - 3. Let p be m(9). Solve 14*w = p*w - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 18*f + 9. Let x(a) = -4*a - 2. Let v(j) = -2*b(j) - 9*x(j). Factor v(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 142*o**2 - 386*o - 24. What is i(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*c + 9 - 33, -3*v - 2*c = -25. Suppose -m = -2*p - 20, -2*p - p = 3. What is the remainder when m is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 113*x + 43249. Determine h(-159).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4)*28\/(-147)*-7. Solve 5*p + 1 = m*p - 3*z, 5*z + 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(90))\/sqrt(2))\/(sqrt(72)\/(sqrt(1152)*2)).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15060488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 58 and 69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1886 + 3519. Calculate the remainder when n is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4678092.\nAnswer: 23390460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 2155 = 38*d - 4*b, -2*b - 14 = 0. Calculate the remainder when d is divided by 225.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 70*f - 1. Let h(p) = -21*p**2 - 11. Determine d(h(k)).\nAnswer: 3969*k**4 + 2688*k**2 + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(1\/2)\/(p**1\/(p*p\/((p*p**3*p)\/p))))\/((p**1)**(1\/2))**(36\/7) assuming p is positive.\nAnswer: p**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 49*u**4\/12 + 13888*u**3\/9 - 3974*u**2\/3 + 1136*u\/3 - 7045. Suppose o(i) = 0. Calculate i.\nAnswer: -284, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.581 - 0.802. Let y = d + 2.4. What is y rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 59. Let s(y) = 3*y**2 - 8*y + 10. Let m be s(4). Calculate the highest common divisor of h and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -18*t - 2*t**2 + 27*t - 1017 + 1020. Let c = 575 - 570. Give r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - 2*k)*(-4*k + 5*k + k)*(k - k - 2*k**2) - 2*k**4 + 5*k**4 + 0*k**4.\nAnswer: 19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 13*z + 4. Let k be w(7). Let d(n) = n + 6. Let h be d(k). Solve -h = -f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 28. Determine i(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/335166 and 131\/120.\nAnswer: 6703320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -417, -658.21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 48*s. Let z(i) = -166*i + 54*i + 58*i + 56*i. Determine w(z(b)).\nAnswer: 96*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*3 - sqrt(1053))*-2 - sqrt(1053).\nAnswer: -45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-7)*(-7)\/(-2). Suppose -k + d + 12 = 0. Let l = -287 - -307. What is the lowest common multiple of k and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by -2*1 - (-64)\/(-48)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 27. Let n(q) = 59. Calculate -5*b(l) + 3*n(l).\nAnswer: 5*l + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1345 and -230673.\nAnswer: -230672.8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 719 = -a - 755, 0 = 2*a - 4. Solve -3*z = -w*p + 18*p - 2, 0 = -5*p + 2*z - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 2*d**3\/3 - 3. Let w(p) = 14*p. Give o(w(h)).\nAnswer: 392*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/w**(2\/7))*w)**9)**(-1\/36) assuming w is positive.\nAnswer: w**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 5*g**2 + 9*g - 42. Let v be r(5). Calculate the greatest common factor of 891 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272063?\nAnswer: 11, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14486 (base 14) to base 3.\nAnswer: -2112222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/19, 105, 31\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*z - 56, -2*z + 19 - 47 = -2*v. Let j(c) = -c**3 - 14*c**2 - 18*c - 61. What is the tens digit of j(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.5. Let g = y - -1. Sort -0.5, g, 1 in decreasing order.\nAnswer: 1, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r - q, -7*q = -3*q + 8. Suppose -w = y - 1903, 27*y = r*w + 28*y - 3810. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2315049 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 269*p**2 + 3*p - 4. Let t be o(-5). List the prime factors of (-4)\/18 - t\/(-126).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -104, -156, -208?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -x - 2*r - 8, 0 = r + 4. Suppose -139 + 51 = 8*v. Let f = x - v. Solve -2*h - 3*s - 4 = -s, -4*s = 5*h + f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/28)\/(4\/(-14))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/74 - -319\/185. Find the common denominator of v and (2 - 0) + 182\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a**(-1\/13))**(-27)\/((a**0)**(2\/13)\/(a\/(a*(a\/((a*a**(-1))\/a)*a)\/a))**26) assuming a is positive.\nAnswer: a**(1052\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - j = -3 + 108, 4*j = w - 21. Calculate the greatest common divisor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/3510*351\/(-324).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*d - d**2 - 187*d**3 + 157*d**3 + 5*d**5 - 19*d**2 + 5*d**4.\nAnswer: 5*d*(d - 2)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/21*3\/(-19). Let d = -9 + 8.91. Let n = d + -0.11. Which is the smallest value? (a) p (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 2, t: 2, l: 4}. What is prob of sequence tmlm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2210 - 20?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. What is the units digit of (-5)\/(q\/(-12)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 + 1. Suppose -v + 3 = -n, -2*n + 3*v = -2 + 13. Solve -5*o - i = 5, -n*o - 3*o - 25 = -b*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 4\/(-7) - (-648)\/56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*r + 4*f + 13, -f = 0. Suppose -19*j + 26*j = 2457. Let p = 331 - j. Is p equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-572)\/(-48)*(-132)\/(-726)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w*w\/w**5)\/(w**(2\/3)*w)**5)**(5\/2) assuming w is positive.\nAnswer: w**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3062676 is divided by 70?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8, -0.5, 11, 0, -47 in descending order.\nAnswer: 11, 8, 0.5, 0, -0.5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 7*l**2 - 58*l - 29. Let u be o(12). Let a(y) = 3*y**2 - y**2 - 2*y - y**2 - 10. What are the prime factors of a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {a: 1, e: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 55533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - o + 27. Determine c(-6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-94596)\/(-36) - -7)*(-9)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768177423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = z - 2*z - 4*d, 0 = -z - 5*d + 148. Suppose 0 = 7*w - w - z. Let y be (w - 22)*1\/39. Sort y, -5, -2\/15.\nAnswer: -5, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1946 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-12 - 37 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.03, 0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 2. Let v(t) = 9*t + 5. Let p(f) = 11*s(f) + 4*v(f). Let n be p(2). Solve -k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**4\/5 - 219*i**3 + 59052*i**2\/5 - 165804*i + 3388896\/5 = 0. What is i?\nAnswer: 8, 21\/2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 692 + -690. What is the nearest to 0 in -0.06, c, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3092, 792, -3050, -8440, -15384, -23888, -33958?\nAnswer: -45600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*d + 50*d = -187 - 557 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1 (c) 0.5 (d) -0.4 (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2 + 8*w + 2. Let v be k(-1). Let n(y) = 38*y - 200. What is n(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 86, 166, 320, 572, 946, 1466, 2156?\n\"Answer: 4*v**3 + v**2 - v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 = 55*m - 24*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/((-2)\/(-7))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6414 - -18276. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 497, 498?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + 5*s)*(0*s**4 - s**4 + 2*s**4) - 3*s**5 - 12*s**5 - 5*s**5 - 679*s**4 + 679*s**4 + 9*s**5.\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42387577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2583\/8471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21987633 to the power of 1\/2, to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 - 327. Suppose -7*x = 5*c - 8*x - 275, l = -2*c - 4*x + 110. What is the remainder when 328 is divided by c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7*q = 6*q + 21, -3*q = 0. Sort y, -10, 3.\nAnswer: -10, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3248 + 3248.00000401. What is a rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2 + 5. Let g be v(9). Suppose b + b - 41 = w, -b - 7 = g*w. What is the highest common factor of 198 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1790*x + 1792*x = -68, 3 = 3*x for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**3 + 1350*x**2 + 16*x - 2326. Give b(150).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-32) - (5 - 5))\/(1\/(-4)). Solve 0 = 3*l - 5*a - 8, g*l = 8*a - 10*a + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*85 + ((-84)\/(-7) - 7). Let h = n + 275. What is the greatest common factor of h and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**5 - b**4 - b**3 - b**2 - b - 1. Let j(i) = 36*i**5 - 116*i**4 - 884*i**3 - 3476*i**2 - 5204*i - 20. Let a(l) = j(l) - 20*o(l). Factor a(t).\nAnswer: -4*t*(t + 6)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18\/8*70\/45 - 225\/(-2) and -1*1 - (-41 - 4).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 21 = 5*m, m = -3*l + 11. Let r = -28 + 17. Let n = 8 + r. Sort l, n, 0.\nAnswer: n, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145508052 to the power of 1\/2, to the nearest integer?\nAnswer: 56085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 161, 3, 0.4, 2, 0.081, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 2*s**2 + 4*s + 5. Calculate k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 52 = 3*g - 0*g, 4*p = g - 34. Suppose q - g = 6. Calculate the lowest common multiple of q and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110195, 110185, 110161, 110117, 110047?\nAnswer: 109945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(252) + (sqrt(252) - (sqrt(252)*-2*-5 + sqrt(252))) + sqrt(252))\/sqrt(4))\/(sqrt(36)\/((sqrt(4) + (sqrt(16) - sqrt(4)) + sqrt(4))*1)*3).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270409558 rounded to the nearest ten thousand?\nAnswer: -1270410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 3. Let u = 2.247 + -3.247. What is the closest to r in -0.2, -0.02, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -198*x + 388*x + 5*x**2 - 190*x. Let l(n) = -6*n + 3*n + 4*n. Calculate l(t(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19693 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 28. Let d = 36 + z. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1219*v - 1. Let f be m(2). Let d(s) = 14*s**2 + 56*s - 16. Let g be d(-19). Let x = g + f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -8*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662568.\nAnswer: 2, 3, 19, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/16 and 19\/870252.\nAnswer: 3481008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -10. Suppose 4 = -3*i + 2*g, a*i - 32 + 12 = -2*g. Suppose -2*p + 4 = 2*q, 2*p - 1 = -i*q - p. Solve -3*v + 8 = d, 22 = 2*v + q*d - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 + 5*o + 22. Calculate u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 44*l - 11. Let p = -48 - -42. Let t(f) = 43*f - 11. Let i(c) = p*t(c) + 5*q(c). What are the prime factors of i(-2)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 59*t + 5462. Give v(-50).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -6*q + 28. Solve 5*b = b - q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*k, -3*p - 4*k = -2260 + 2237 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 19, -0.66, 34?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1044\/5 + -14881\/70. Find the common denominator of -93\/20 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/756*((-105)\/(-10))\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u - 3*m = 5, -4*u + 45 = -m. Suppose 11 = 5*j + k, -j = -4*j - 4*k + u. What is the smallest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -5.4. Which is the closest to 0.2? (a) t (b) -1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-975240)\/(-12420) - (-468)\/(-6).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18653.\nAnswer: 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 5*w + 3*j + j, 0 = 4*j. Let s(g) = -g**3 - 9*g**2 - 4*g. Calculate the remainder when w is divided by s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbdrrdbbrdrdrb. What is prob of picking 3 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 11, 8, 1, -10, -25, -44?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + 14. Suppose 0*k = d*k + 117. Put k, 326, -5 in decreasing order.\nAnswer: 326, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(152)\/(-4*sqrt(8) + sqrt(8)) + 4 + (sqrt(76) - (sqrt(76) + 3 + 2)) + -3)*-1.\nAnswer: -2*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15211 - -428?\nAnswer: -14894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 760 and 63.327.\nAnswer: 823.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z**(-4\/7)\/z))\/(z**(-2\/5)\/(z\/z**7)) assuming z is positive.\nAnswer: z**(-211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 573*d + 582*d - 1158*d + 94 as a + b*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135412 divided by -142?\nAnswer: -67706\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 + 9*c - 18. Let t be j(5). Suppose -2*y + 12 = 4*g, -t*y = -4*y - 5*g + 13. Solve 9*z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500 (base 6) to base 5\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 47*p - 1. Let c be n(-23). Let i(y) = -y**2 + 21*y + 91. Let v be i(c). What is the highest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 298 and -17.\nAnswer: -5066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.069159 times 0.1\nAnswer: -0.0069159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16636, 18482, 20328, 22174, 24020?\nAnswer: 25866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285085 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 12, p + 20 = 4*d. Suppose -o - o = 3*b - 48, p = 5*o + 2*b - 142. What is the smallest common multiple of o and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)\/t**(-1\/3))\/(t**(2\/3)\/(t\/(t\/(t\/t**(-1\/2)))))*t*((t**3\/t)\/t)\/t*t*t\/(t\/(t\/(t*t**(-1\/2))))*(t**2\/t)\/t**0 assuming t is positive.\nAnswer: t**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -53?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/50, -0.4, 22\/7, 0.2 in ascending order.\nAnswer: -0.4, -1\/4, 1\/50, 0.2, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 299633998 a multiple of 5516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -50) + -8 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15514 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-2 - -4) - -1. Which is bigger: y or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*u + 8208*d**3 - 64*d**2 + 2*d - 6733999*u wrt u?\nAnswer: d**3 - 6733999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2. Let z be k(0). Suppose z = 3*b + a - 71, 10*b - 8*b - 2*a = 34. What is the remainder when 197 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 + 10*z - 1. Let n(f) = 3*f**2 - 5*f. Let s(x) = -4*l(x) - 7*n(x). Let v be s(-4). What is the units digit of 50\/6 - v\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 1, e: 4, d: 1}. Give prob of sequence ldi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = 2*d, 19*d = 18*d - 5*i - 15. Solve 5*l - 8*l + 3 = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/374 (b) 0.06 (c) -0.3 (d) -2 (e) 0.1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96790 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s = 40*s + 179430. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(36\/80) + 16998954\/(-849107)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(132)*-4)\/((sqrt(12) + -1*sqrt(12))*-5 - sqrt(12)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 448, 3541, 11946, 28321, 55324, 95613, 151846?\n\"Answer: 443*b**3 - 2*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 11045661.\nAnswer: 55228305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 - 9*z**2 - 5*z + 10*z**2 + (7 - 7 + 3*z)*(-3 - z + 3).\nAnswer: -5*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 165?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 204*j - 326. Let k(q) = -61*q + 108. Give -7*k(c) - 2*y(c).\nAnswer: 19*c - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -43*u - 8. Let q(c) = -42*c - 7. What is -3*q(n) + 2*s(n)?\nAnswer: 40*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-112))\/((-678)\/1808)*-2\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057244146 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 492 = -3436. What is the lowest common multiple of 7 and r?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1817, 2\/19 in ascending order.\nAnswer: -0.2, 2\/19, 1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17277 - 2*f**2 - 8801 + 9*f**2 - 8476.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -11, 0.2, -118755?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(24\/(-180))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30591, -0.2, 4, -0.1, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e (base 16) in base 14?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 204\/18 - (0 - 0). Let l = n - 11. Factor -4*t - l*t**3 + 8\/3 + 2*t**2.\nAnswer: -(t - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*(4*g + 2*g - 4*g) + (4 - 3 + 0)*(2*g + g - 4*g) to the form k + o*g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237748?\nAnswer: 2, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*4*4)\/(sqrt(3) - sqrt(2700)).\nAnswer: -16*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + 10022?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-15) + 20\/1400*42. Let x be 6\/12*16\/6. Factor -2\/3*h + x*h**2 - 2\/3*h**3 + p.\nAnswer: -2*h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:42 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 2*f**3 - 26 + 44.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 753728868 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.411275 rounded to two decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19913438*k**4 - 8080*k + 862.\nAnswer: 238961256*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1325739*0.12\nAnswer: -159088.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7973 rounded to two decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6169, 5633, 5097, 4561?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -186279*-144.1\nAnswer: 26842803.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2232 - 859. List the prime factors of y.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11052, 11085, 11140, 11217, 11316?\nAnswer: 11437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 1755*c.\nAnswer: -3*c*(c - 585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 31 + -520 + 492?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {s: 10, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334382?\nAnswer: 2, 167191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.20134 weeks in days?\nAnswer: 15.40938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2082.826 meters?\nAnswer: 2.082826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 452\/1953 - 2\/217. Let x = 22 - 27. Which is the second smallest value? (a) k (b) 5 (c) 3\/5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2, s: 3, z: 7, x: 1}. Give prob of picking 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 528134 = 20597248\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**7\/8820 - k**6\/140 - 17*k**5\/420 - 9*k**4\/4 + k**3\/6 - k - 5. Let u(s) be the third derivative of d(s). Factor u(b).\nAnswer: -2*(b + 1)*(b + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135392, 270827, 406262, 541697?\nAnswer: 677132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 67. Suppose 4*g - 8 = -u. What is the smallest common multiple of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*v - 5*x, 4*v + 4*x + x = 116. Let i = -398 + 401. Suppose i*r - v = r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2*6\/522). Let v = w + 375. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*a + 15. Let i = 8 - a. Let y be ((6\/i)\/(-1))\/1. Is -2 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*g - 234297, 5*g - 99534 = i - 490037. Round g to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11990 - -11987.2044. Let h = 31 + -28.2. Let m = h + f. Round m to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 8. Let s be j(2). Solve 2*f - s*f = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 0*j**4 - 2*j**4)*((-2*j + 6*j - 3*j + (2 + 0 - 3)*(2*j - 4*j + 0*j) - 4*j + j + 2*j + j - j + j)*(1 + 2 - 2) + 3*j - j + j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -8, 2 in descending order.\nAnswer: 21, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**3 + 12*p**2 + 16*p. Let j(c) = c**3 - c**2 - c. Let q(n) = 5*j(n) + x(n). Let m be q(8). Is 8 a factor of 30\/4*m\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.473054 micrograms?\nAnswer: 0.000000000000473054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -1387116.8.\nAnswer: -1387107.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -7. Suppose a*y - 2*q = 43 + 5, -3*y + 23 = 5*q. Suppose -2*n + 0*n + 11 = r, 5*n = 3*r + y. Solve -5 = -k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*g = -6 + 10, 2*i + 20 = 14*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131033030 + 3?\nAnswer: 131033033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 + 1013*n\/2.\nAnswer: -n*(n - 4052)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/608 and -30\/19.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12) + 1852\/6 + -4. Let r be f\/(-120) - (-2)\/(-3). Is r >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -14*u + 159. Suppose -10*a + 7*a + 192 = 0. What is the highest common factor of u and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44310\/9495*(4\/42)\/(1\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let j(t) = -t**2 + 51*t. Determine j(u(k)).\nAnswer: -k**4 + 51*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - (35 - 33).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxqlsqusxlxuls. What is prob of sequence uqsx?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3520 and 2620?\nAnswer: 461120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*u**3 - 66*u**3 + 388 + 132*u**3 wrt u.\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 123\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 1450 - 1396. Let t(y) = -y**3 - 2*y**2 + 3*y + 3. Let j be t(-5). What is the highest common divisor of j and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(2\/8). Let g(v) be the second derivative of -v**3\/3 + v**2 - 38*v. Let d(l) = -4*l + 4. Calculate j*d(i) + 5*g(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87, 134, 183, 234, 287, 342?\n\"Answer: o**2 + 44*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12 = -5*w. Let o = -2 - 1. Suppose -4*g = 5*u + 20, 4*u = 4 - 20. Sort g, w, o in descending order.\nAnswer: w, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4246435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)\/n)**31)**46\/((n*n*n*n**(-1\/4))\/n**(-1\/5))**(-25) assuming n is positive.\nAnswer: n**(-15637\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 4\/11 - 1792\/(-154)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-684)\/(-60) + -11 - 356\/(-10). What is the first derivative of 51*j**3 + 100*j**3 - 2*j**2 + 3*j**2 - u*j**3 - 173 wrt j?\nAnswer: 345*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-3230)\/(-408))\/(1\/(-92))\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 6*d - 7. Let v be f(3). Solve -z = 2*l - 2, -v*z - 2*l = -0*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 565*w**2 - w + 534*w**2 + 0*w + 194*w**2 as z + s*w**2 + t*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.019, 1, 74, -6 in descending order.\nAnswer: 74, 1, 0.019, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 + -16?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227599 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3534*f = -3581*f + 7013*f - 918 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -2. Let z = h + -48. Solve -z*w = -8, 7*w = -p + 3*w + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*v - 768 - 612 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 31. What are the prime factors of (-1)\/(o\/835) + 1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 5. Let z be q(-3). Let w be ((-2)\/z)\/(140\/196). Which is the fourth biggest value? (a) -7 (b) 3\/5 (c) w (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1010011?\nAnswer: 1002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from slaasjk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1983502*i + 1983548*i - 20 + 19.\nAnswer: 46*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 - 2*g - 1. Let x be r(-1). Let l be (-24)\/42 - (-25)\/x. Let j(i) = i**2 + i - 3. Calculate j(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 80, 186, 354, 596, 924, 1350, 1886?\n\"Answer: 2*q**3 + 13*q**2 + 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171791*g = -172020*g + 2748 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6229.342 and 0.987626?\nAnswer: 6230.329626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -13 + 8 + 0 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*g + 17 - 192, -4*g = v - 58. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3898, -3890, -3878, -3862, -3842?\n\"Answer: 2*a**2 + 2*a - 3902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmlz. What is prob of sequence lz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 72*r + 692. Calculate n(7).\nAnswer: 1196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 19. Suppose -3*n - 5*l - 89 = -31, -37 = 2*n + 5*l. Let o be 565\/7 + (-6)\/n. What is the highest common divisor of o and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 52*r + 49*r - 18 = 0, -5*q = -r - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 14, 10520, 0.2 in ascending order.\nAnswer: -12, -5, 0.2, 14, 10520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(30\/2))\/((-4)\/84).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 123, 230, 379?\n\"Answer: 21*k**2 + 2*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/6*(45 - -9). Let r = -204 + q. Suppose 4*u = -4*y + 288, 4*y + r = 2*u - 0*y. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2369 by 23.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzyzzy. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -20*k**2 + 2091*k - 3190. Calculate i(103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 40 = 4*a + 2*h, 4*a = 5*h - 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-12)*t)\/t*t*t*t*(t**(-4\/17)\/t)\/t*t\/(t*t**(-5\/9)\/t*t*t*t)*t**(2\/33) assuming t is positive.\nAnswer: t**(-19555\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(-1*sqrt(3)*-2) - -3*(sqrt(2448) + sqrt(2448) + 0) - -3*4*-5*(sqrt(272) + 0))**2.\nAnswer: 1907825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l + 2. Let a(v) = -9*v - 3. Let y(n) = -2*a(n) - 3*g(n). Let p(q) = -q + q + 0*q - 3*q. What is y(p(z))?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 2*x - 2. Let a = -26 - -22. Let t be y(a). What are the prime factors of 3 + t\/5 - -25?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/4 + q**3\/6 + q**2 - 2*q. Suppose 0 = -3*d + 11 - 2. What is the tens digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + 3 = 4*r, 3*r = 5*a + 11. Let i be (-3 - -4) + (a - 0). Is i\/2 - (-78)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w + 5. Suppose -w*q = -569 + 41. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, 1\/2, 0.69, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1190 + -1186. Let l(p) = p**3 - 4*p**2 + 12. Let q(a) = -a**2 + 1. What is s*q(m) - l(m)?\nAnswer: -m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**3 - 4*b**2 - 3*b**3 + 2*b**3 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.32 + -72. Let u = -1776.22 + 1849. Let j = w + u. What is j rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (18 + 17 - 19)) + 41 + -2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -10. Let t = -10 - h. What is the nearest to -1 in 0.2, t, 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4515453 (base 7) in base 9?\nAnswer: 1041700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 3*f**2. Suppose 2*j + 2*m - 14 = 0, 4*j - 2*m + 12 = 2*m. Let a be t(j). Solve -4*q = -2*z + 18, a*q = 2*q - 5*z - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10112)\/(-79))\/384*-1*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/300 and (-10)\/35 - ((-116622)\/(-4200))\/(-31)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.964 in -2\/5, -0.1, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*t - 4, -2*u = 3*t - 23 + 13. Sort -0.03, t, -8 in decreasing order.\nAnswer: t, -0.03, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2791641, 2791864, 2792087, 2792310, 2792533?\n\"Answer: 223*c + 2791418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**3 - 3*j**2 - j + 4. Let t be r(3). Suppose t = 12*h - 788. What is the least common multiple of 18 and h?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (8 + -10 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294277\/279 bigger than 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5482 + 71276\/13. Let l be (-2 + 5)*4\/6. Calculate the common denominator of (-108)\/l*(-3)\/(-51) and d.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a29e400 - 1?\nAnswer: -a29e401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/(-2030)*(-110)\/(-462).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**5 + 52544*o**4 - 663596*o**3 - 157608*o**2 + 1885808*o + 1327264 = 0. Calculate o.\nAnswer: -1, 2, 38\/3, 4366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*x**3 - 17*x**3 - 24*x**3 + x**4 + 81*x**3 - x + 0*x**4 - 7*x**2 as p*x**4 + c*x**2 + f*x + m + i*x**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.039 - -29.961. Let z = -29 + r. Which is the nearest to z? (a) 0 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/321785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (-2*sqrt(125) + sqrt(125))*1 - (4 + (sqrt(125)*1)**2)) + -2 + 1.\nAnswer: -130 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 281 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1788 - -1896. Calculate the remainder when q is divided by 64.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x. Let f(m) be the first derivative of 1\/2*m**3 + 0*m**2 - 1 - 5*m. Let v(y) be the first derivative of f(y). What is v(u(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjj when three letters picked without replacement from {j: 6, c: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 150\/21) + (-700)\/(-140). Put 1, 0.3, s, 0.2 in increasing order.\nAnswer: s, 0.2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496421111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 - m. Let n be k(0). Let p be 2 + -1 + (n - -3). What is the first derivative of -15 - 7*o - p*o + 3*o - 3*o wrt o?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7559979, -15120066, -22680153, -30240240, -37800327?\n\"Answer: -7560087*l + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 879 divide 18343851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(3 + (4*sqrt(1008)*-2 + sqrt(1008) + -1 + -1)*6))**2.\nAnswer: 326592*sqrt(7) + 64014948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19039 divided by 13?\nAnswer: -19039\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - o + n + 28 = 0, 0 = -o - 4*n - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from ygdgbdddyydgdbdbbyb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4471613 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minus -1013806.31417?\nAnswer: 1014052.31417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + 10\/(-5) + (-1 - 1) and 85\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/797, -0.023, 0.059?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * -55\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 4 - 20 + i - 7*i. Let l be t(-6). Solve l = 4*h - 12, -3*p + 2*h = -4*p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -56. Suppose -4*d = -d - j. Let b(m) = m**3 + 11059*m + 9 - 22134*m - 5*m**2 + 11067*m. Calculate b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 - 1.3. Which is the second smallest value? (a) -35 (b) -3\/2 (c) -0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409996 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529407?\nAnswer: 3, 59, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 2*d - 2, 0 = -2*d + 4*i + 2. Suppose d*n + 10 = 9*n. Let v(z) = -z**2 + 7*z - 3. Let y be v(n). What is the highest common factor of y and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1867*m - 398.\nAnswer: -1867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - 2 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:14 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 12*n + 24. Let x be 4\/(-6) - 178\/n. Suppose 0 = 4*r - 4*w - 4 - 16, 4*r - x = w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 + -190. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27708 - -27704. Which is the nearest to -21? (a) -5 (b) -0.4 (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*2*(-12)\/42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.20838*965\nAnswer: 1166.0867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -16388 in ascending order.\nAnswer: -16388, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -197, -836, -2089, -4160, -7253, -11572, -17321?\nAnswer: -24704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 7. Let b be -8 - 1\/((-8)\/14760). Suppose 5*i - b = -1872. Calculate w(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -1\/8, -1\/56, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) -0.043 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 + 2*h**2 - 7*h + 5. Let x = 11 + -17. Let v(s) = -5*s**3 + 3*s**2 - 8*s + 6. Let a(l) = x*p(l) + 5*v(l). Calculate a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 12*n**2 + 15*n**2 - 34*n**2 + 10*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 20) + (-9 - -8 - -8 - -7 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 11*c - 6. Let w be m(-6). Calculate the highest common factor of w and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(252) - (sqrt(77) - sqrt(77)*-1)\/sqrt(11) - (sqrt(847) - ((sqrt(847) + 4 + sqrt(847))*4 + sqrt(847)))**2.\nAnswer: -54464 - 2812*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**2 - 2*y**4 + 2*y**2 - 13*y**2 + (-741 + 507*y + 741)*(-2*y + 2*y + y**2)*(-3*y - y + 3*y) + 2*y**4 - 4*y**4 + 3*y**4.\nAnswer: -508*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44005 + -102313?\nAnswer: -146321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28260712 to the power of 1\/2, to the nearest integer?\nAnswer: 5316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + -0.24. What is the nearest to 0.1 in 4, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/8, 3, 4, -5\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 7*f - 6. Let n(c) = -c**2 + 23*c + 58. Let x be n(25). Suppose x*r = 6*r + 6. Calculate the remainder when u(-5) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1794 and -17\/4186?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -477927680 and -761.\nAnswer: -477928441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(243) + sqrt(243) + 2 + 0))**2 - (((sqrt(33)*-1 + sqrt(33) - sqrt(33)) + sqrt(33))\/sqrt(11) + sqrt(3) - sqrt(75)*3)*3.\nAnswer: 690*sqrt(3) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 1 w when three letters picked without replacement from {v: 1, w: 2, g: 4, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/(-546))\/(-25)*(-7)\/9\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w + 1. Let r(m) = 13*m + 6*m + m + 7*m + 10*m**2 - 4 - 31*m. Give 2*f(o) + r(o).\nAnswer: 2*o**3 + 10*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56872 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38777, 77583, 116405, 155243?\n\"Answer: 8*b**2 + 38782*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + p**2 - p**2 + (3 - 5 + 0)*(2*p**3 + p - p) - 2*p**3 - 2*p**3 + 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b. Let f(n) be the second derivative of -481*n**3\/6 - 148*n + 1. Determine 221*d(z) - 6*f(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/225 - (-4)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1154779 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-12)\/27*270\/60. Is x\/2*193967\/93 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 4238.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:33 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58146*u - 22903*u + 4025 - 21980*u wrt u.\nAnswer: 13263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 479*o - 1042. Calculate x(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -7616, 774 in descending order.\nAnswer: 774, 1, -4, -7616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 + -0.4. Let x = 5 + d. Let l = 2.29 + -2.09. What is the nearest to x in l, 1, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3576 + -3569 - (-1 - (54 + -1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.4 - 15. Which is the biggest value? (a) -0.3 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(6*26\/(-26))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81942451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 3\/20 (c) 5 (d) 3 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 21. Suppose l = -b + 2. Let f be -6*(30\/b + 2). Is -0.1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q - 10. Give n(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-105)*21140\/2416?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from aursrrrarrrrrrvr?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*m + 114. Calculate the remainder when 82 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -69\/2*p**2 - 128 + 162*p + 1\/2*p**3 = 0. What is p?\nAnswer: 1, 4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 2347 + 1027 = 0. Solve -4*f + p = -24*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5315115 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: Suppose -2*f - 24 = 146. Let u = 172 - f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-1\/4)\/t*t))**(33\/7)*(t**(2\/3))**44)**(9\/5) assuming t is positive.\nAnswer: t**(7689\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 414616*o**2 + 10744151716*o = 0.\nAnswer: 0, 51827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.75 + 7.35. Which is the smallest value? (a) -0.8 (b) 1\/5 (c) 10 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.977 + 37.2. Let k = -0.22299468 + r. Round k to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17573, 25916, 34263, 42614, 50969?\nAnswer: 59328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 16445.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 + 231 = -241. Solve 127*r + 40 = j*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93.3999613 - -93.4. What is o rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (12\/(-8) - 15\/8*4). Let o(a) = a - 6. Let d be o(9). What is the highest common divisor of i and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317968 is divided by 158709.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -53*g + 485. Let o be d(9). Suppose -6*z + 11*z + 100 = 0. What is the remainder when 37 is divided by ((z\/6)\/(-1))\/(o\/48)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8 - 20*j - 5*j**3 + 1\/2*j**4 + 33\/2*j**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + 0.16. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 361, 2918, 9853, 23356, 45617?\n\"Answer: 365*p**3 - p**2 + 5*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -118210*b - 118215. What is c(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 - -5.6. Let b = -3 + 2.5. What is the second biggest value in -3, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 25*n - 1. Calculate c(4).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 524 = 268 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 15*q + 50. Determine r(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (2 + -6)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*f + 581 + 239 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2. Suppose p = 2*p - 5*s + 15, 3*s = -5*p + 37. Suppose 1 = 5*d + k - 9, 0 = -2*k. Let a(f) = 3*f**2. What is d*h(t) + p*a(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/56)\/((-18)\/(-14)). Suppose -2*z - 20 = -7*z. Which is the closest to t? (a) -2\/3 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/45 - (-9)\/(-5). What are the prime factors of 1 - 2 - 26\/b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4625, 0, 2, -5, 3 in descending order.\nAnswer: 4625, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + y**4 - 3357*y**3 + 1679*y**3 + 1674*y**3 - 3*y in the form p*y**4 + c + n*y**2 + z*y + d*y**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19372*u - 11374*u**2 - 19372*u.\nAnswer: -11374*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -232170 to the nearest 1000.\nAnswer: -232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270 + 505. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 2637 - 1223 - 1168 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-439 - 432 + 871 - 171*s)*(s + 0*s + s)*(-3*s**2 + 3*s**2 - 2*s**2).\nAnswer: 684*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 0.11 (c) -4524 (d) 1\/3 (e) -73 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 2*m - 10, m + 5 = 0. Which is the second smallest value? (a) 1 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-9)\/3)*0. Suppose -g + 3*g = y. Is g - 2*(-6 + 0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.027745 hours?\nAnswer: 99882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335485?\nAnswer: 5, 229, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 30927?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15065 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.136846 litres?\nAnswer: 2136.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589489?\nAnswer: 283, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:18 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from wffwwwwf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -37, 7, 14, 0, 1 in ascending order.\nAnswer: -37, 0, 1, 7, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 2, h: 3, f: 1, l: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -131. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3208, 3095, 2788, 2191, 1208, -257, -2300, -5017?\nAnswer: -8504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from {x: 5, m: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 o when three letters picked without replacement from eggoooeee.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:17 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*k + 42. Let p(y) = -1 - 103*y**3 + k*y**2 + 104*y**3 + 2*y - 2. Calculate p(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.64 + 9.64. Which is the fourth smallest value? (a) 7 (b) -3 (c) 4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 680.4 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 66, 19, 3 in ascending order.\nAnswer: 1, 3, 8, 19, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*(5 - 4)*(3 + 848)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 7. Let p be h(3). Suppose -4*d - p = -291. Is d a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557537 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2046*b**2 - 11*b - 6. What are the prime factors of h(-2)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57*-21.6\nAnswer: 1231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 6*g**2 + 0*g**2)*(-5*g + 7*g + 2*g)*(4 - 10 + 5).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = u. Let o(i) = i**2 - 5*i + 1. Let k be o(4). Sort u, k, -4 in decreasing order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -4, 23, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 0.07 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 9*j**2 + 6*j - 7. Let a be r(-6). Is 13\/a + (-2988)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l. Let y(n) = -2*n - 4. Let m(f) = -1. Let c(u) = -4*m(u) + y(u). Give c(g(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*-0.07.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.266, -0.4, 5, -14.5, 2, 0.1, 1\/5?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/6 + 4*i**2. Let f be (18\/27)\/(2\/(-3)). Calculate m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 63968.7?\nAnswer: 191906.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/(r*r*r**(-4\/7)*r*r))\/r*((r**(-2\/5)*r)\/r*r*r)\/r assuming r is positive.\nAnswer: r**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.06, -4\/7, 2051, -1\/2, -4, -0.4, -7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -434.\nAnswer: 434.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25\/6 (b) 0.4 (c) -2\/3 (d) -1088\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1144 divided by 2\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 87 - -22) + (-1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + -2 + 630\/63. Put q, -4, -580 in decreasing order.\nAnswer: q, -4, -580","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 1073.06769947?\nAnswer: 1072.66769947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1 + 0*s + 0*s + 3*s**2 - 2*s**2 - s**3. Let w be t(2). Let j(b) = -b**3 - 2*b**2 - b - 1. List the prime factors of j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 363 = 3*n, -5*n = -5*g - 180 + 755. Suppose -h + 3*r = -276, 5*r + 154 = h - g. Suppose -4*u = -4*q + 588, 0*q - u + h = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 47690*r**2 - 334045*r + 286350.\nAnswer: 5*(r - 6)*(r - 1)*(r + 9545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14695.17 - 14696. Let f = -12.66 - 1.51. Let x = f + z. Is -3 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*g - 7 + 19, -3*p - 11 = 2*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -509, -1570, -3277, -5630, -8629, -12274?\n\"Answer: -323*h**2 - 92*h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -359290*v + 10060193. Determine h(28).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 4.\nAnswer: -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20426782.\nAnswer: 2, 10213391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 9*k + 5. Does 35 divide u(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:42 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 11. Let y be i(-5). Let r(h) = h**2 - 15*h - 37. Let p be r(17). Let w be 1 + p\/y*0. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -713 + 1315. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/12 + 3\/(-4). Suppose -3*r - 8 = -u, 2*r + 10 = -2*u + 5*u. Let o be (2\/s)\/(u\/10). Solve -1 = -o*d + 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 4*n**2 + n + 6. Let q be z(-2). Solve -u + q = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 44. Suppose -3*r = w*q - 326 + 38, 5*r - 40 = -q. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14903*t**2 + 10439*t wrt t?\nAnswer: 29806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/9, 0.05, 14489\/4, 0.5 in descending order.\nAnswer: 14489\/4, 5, 0.5, 0.05, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*35\/(-2870)*(-24)\/(-50)*80\/6.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 0)*14\/7. Suppose n*y - 4 = 2*y. Suppose -y*t = -7 + 1. Calculate the remainder when 9 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(84\/7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:27 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.8641139 plus 1.78?\nAnswer: -149.0841139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19238 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -1\/75*z**5 - 1\/20*z**4 + 0 + 0*z + 2\/15*z**3 - 7*z**2 + 1\/100*z**6. Let b(a) = 0. What is a?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18329 - -18360. Let l(f) be the first derivative of -15\/2*f**2 - 1\/4*f**4 - 25*f - g + 3*f**3. Let l(c) = 0. Calculate c.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 21755 = 678*x + 82*x + 14105 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let h be (1 + k)*(5 - 3). Let j = 28863 + -28848. Solve h*y = -y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34050*p**3 - 1654*p**3 - 46804*p**3.\nAnswer: -82508*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 15*l - 7*l)*(-2 + 3 + 0) + 2 - 2 - 2*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1738 and -73\/7996538.\nAnswer: 7996538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((0 - -3) + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -386, -1118, -2, 1, -1 in descending order.\nAnswer: 1, -1, -2, -386, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0129 and 0.03.\nAnswer: -0.000387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**8\/840 + d**7\/105 + d**6\/60 - d**5\/15 - d**4\/3 - 2*d**3\/3 - 5*d. Let u(b) be the second derivative of x(b). Factor u(q).\nAnswer: 2*(q - 1)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -12. Let j be 11\/v + 34\/(-8). Let l be 18\/(-24) - (-1)\/j. Which is smaller: l or -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 greater than -35.963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*h - 20*h + 4*q - 19835, -3953 = -h + 2*q. Let w = 203 - h. What is w rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 0*y**3 - 2*y + y**4 + 2*y**3 - 2*y**2 + 3*y**2 to the form i*y + x*y**3 + h*y**4 + z + k*y**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54.67 + -8.57. Let q = 56.1 - a. What is the closest to q in 1\/3, -1\/4, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 7) in base 2?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3331 and -5.\nAnswer: 16655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-6)*c\/c**(-1\/3))**(-23\/5))**21 assuming c is positive.\nAnswer: c**(-805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Let h(g) = -670*g + 29. Let w(q) = -671*q + 30. Let a(s) = -5*h(s) + 4*w(s). Is a(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415 by -36.\nAnswer: -415\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 12*d - 2*d**3 - 3 - 14*d as t*d + w*d**2 + q*d**3 + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.38 + 12.18. Let y = 12 - c. Let o = y + 2.8. Put 4\/3, -6, o in ascending order.\nAnswer: -6, 4\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 6. Let t be x(-6). Suppose t = 3*j - 3*v, 39 = 5*j - 2*j + 4*v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -4 - (-1 - -5) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - (1961204\/(-42) + -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 16) to base 4\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -281 and -13260\/47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 64, 63, 62, 61, 60?\n\"Answer: -c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 - 120*t**2 + 866*t - 39. Determine k(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40235 (base 6) to base 4\nAnswer: -1102133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/19, 0.1, 0.01595 in increasing order.\nAnswer: -8\/19, 0.01595, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9960)\/336 - -29)\/(24\/14).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 + z + 40. Let h(x) = -27*x**2 + 10. Determine q(h(m)).\nAnswer: -5103*m**4 + 3753*m**2 - 650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1) - (37 + 2). Is 14\/s + (-5061)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453267.4 millennia in centuries?\nAnswer: 4532674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3654)\/(-180) + -20)\/((-36)\/(-600))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2205702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*r - 3*a, -r - 4*r = -3*a - 112. Let u = 26 - r. Solve 4*b = 4*h + 32, 26 = -2*b + u*b - 2*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + r + 2. Let a be m(0). Suppose 5*s - 15 = -2*l, -a*s + 4*s - l - 6 = 0. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24118339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -682\/5. Let l(v) be the first derivative of -q*v**5 + 0*v**4 + 0*v**3 + 0*v + 2 + v**2. What is the second derivative of l(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8 + 7)*(-363*q**2 - 502*q**2 + 271*q**2).\nAnswer: 4752*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21638808 times 24?\nAnswer: 519331392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24819435*o**3 - 13676842*o**2?\nAnswer: 148916610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*a*f**3*g*r - a*f**2*g*r + 2*a*f*g + 2*a*g*r**2 + 3*a*g*r + 2*a - f**3*g*r**2 - 201*f**2*g*r + 871767*f*g*r**2 - 2 wrt r?\nAnswer: 4*a*g - 2*f**3*g + 1743534*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (46\/(-4))\/((-13)\/156*6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7722\/(-2970))\/(5\/((-200)\/(-2))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3 + -5)\/(-2). Suppose m + b = 7. What is the second derivative of o**4 - o**m + 3*o + o**4 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 120. Let g(s) = -s - 20. Let a(j) = -6*g(j) - v(j). Let w(f) = -213*f. Give w(a(i)).\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4*l**2 - 4 + (3 - 4 + 0)*(-l**2 - l**2 + 4*l**2) + 3*l**2 - 2*l**2 - 7*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 249 = 5*z. Suppose 5*q = 3*h + z, 5*q - 6*h + 2*h = 127. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(343)*1 + sqrt(343)).\nAnswer: sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -19*n**3\/6 - 1455*n. Let i(u) = -13*u. Let s(z) = 12*z. Let k(m) = -6*i(m) - 7*s(m). Determine k(v(j)).\nAnswer: 114*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303623?\nAnswer: 3, 144847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.001 + -4.201. Let w = o + 4. What is the nearest to 1\/3 in w, -5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 30 + 28 - 78 + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -13. Let q(k) = k**3 + 7*k**2 - 7*k + 10. Let t be q(b). Suppose 5*g = 3*y + 8, 16 = 3*g - y + t*y. Solve s = -0*s - 2*z - 4, 5*z = g*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 11*s = 2. What is the third derivative of 46*y**3 - 25*y**3 - 21*y**3 - 35*y**4 - s - 33*y**2 wrt y?\nAnswer: -840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2251 - 2251. Let h = -307\/5 - -61. Let j = 0.1 - 0.6. What is the closest to 6 in j, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 731*t**5\/20 + 63*t**3\/2 - t**2 + 1305*t. Find the second derivative of i(u) wrt u.\nAnswer: 4386*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 7, k: 6}. What is prob of picking 1 k and 3 a?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7*t = 2*t - 1, s + 5 = 3*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by 4?\nAnswer: 311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/((-135)\/(-10)))\/(119\/(-21) + 5). Sort -2, 27\/2, -37, w, -0.4 in decreasing order.\nAnswer: 27\/2, w, -0.4, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 306*h - 50 - 565*h - h**2 + 275*h. What is s(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16991 to three dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248 divided by 78?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -37. Suppose 5*g + 7 = 2. Which is the closest to g? (a) 1\/2 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -v. Suppose 0 = -s, -s = -v*h + 2*s + 526. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/1473 and -47\/5?\nAnswer: 7365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8185278 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by 122.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 18*y + 60. Calculate x(14).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -38.5. Which is the closest to -0.1? (a) -0.1 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t**2 - 81*t**2 + 42*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {b: 1, h: 1, a: 2, g: 2, s: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q**2 - 3*q - 4. Let d(t) = -t**2 - 18*t + 4. Let h(u) = -6*u + 1. Let m(s) = d(s) - 3*h(s). Determine 6*m(l) + r(l).\nAnswer: 3*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsssssssssmbs. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*v - 17 = 0, 5 = -y + v - 4. Let k = -2 - y. Suppose m = -k*m + 24. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 2*b**2 - 9*b - 3*b**2 + 1. Let w be k(9). Put -0.5, -7, -2\/9, w in increasing order.\nAnswer: -7, -0.5, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -398, -782, -1184, -1610, -2066, -2558, -3092, -3674?\n\"Answer: -l**3 - 3*l**2 - 368*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3, -0.02, 137, -0.41 in increasing order.\nAnswer: -3, -0.41, -1\/6, -0.02, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.5, -2\/269, 3?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39213 by 3.\nAnswer: -13071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24098*i**3 + 28465*i.\nAnswer: -144588*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let x(z) = -19*z - 15*z + 32*z. Calculate 5*a(v) - 3*x(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**2\/2 + 5*t + 378. Suppose 3*b = -0*b + 5*s - 15, 3*s + 20 = -4*b. What is w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*v - 32 = 0, -11 = 5*l - 6*l + 4*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {p: 1, g: 2, l: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15680)\/168)\/((-1)\/48).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-297))\/5*-9*(-3)\/(-9)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in 38, -4, 2\/5, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7623092 to the nearest integer?\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/5)\/n)\/(n**(-5\/3)*n*n))**(-31\/5)\/(n**(-6)\/(n\/(((n**7*n)\/n)\/n))*(n\/(n*(n*n*n*n**(2\/3)*n)\/n))\/n*n**4*n) assuming n is positive.\nAnswer: n**(1042\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -689. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 7*b + 1. Let j be 16\/(-10)*(-5)\/2. Suppose -t + 48 = j*d, 4*t + d - 102 = 15. Suppose 4*q + 4 - t = 0. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -56.96. Let p = z + 0.34. Which is smaller: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -21. Suppose 0 = -3*o + 4*k + 61, -60 = -3*o - 4*k - i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 3*j. Let z(w) = -969*w**2. Calculate d(z(u)).\nAnswer: 1877922*u**4 - 2907*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7439*i - 7436*i + 22322*i - 7449*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c9 (base 15) to base 8.\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*n**2 + (2*n**2 - 1 + 1)*(5 - 3 - 3))*(6*n**3 - 37*n**3 - 33*n**3).\nAnswer: 256*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Suppose 0 = -13*q + 18*q - 80. Let n = q - 23. Let h be i(n). What is the closest to 0 in h, 1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97008*z - 97008*z - 18*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6146 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386434 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 123. Let u = n + 16. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(144)*2)\/sqrt(4))\/(-5*sqrt(162)*3).\nAnswer: 4*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 24*d = 74696. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458609 and 11707.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120342633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32951 + 52*h - 16467 - 16484.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 299*a**3 + 7*a**2 + 11. Let y(l) = -l**3 + l**2 + 2. Determine -p(u) + 6*y(u).\nAnswer: -305*u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**3 + 17*k**2 + 9*k + 7. Let p(f) = -5*f**3 - 9*f**2 - 5*f - 4. Let u(y) = 4*l(y) + 7*p(y). Give u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2315 = -5*a, -6*y + y + 2*a + 5798 = 0. Suppose -6*j + y = -j. Let l = j - 153. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1390.2*-0.1.\nAnswer: 139.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 < -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*z**6 - z**5 - z**3 - 1633*z**2.\nAnswer: 52320*z**3 - 60*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2 + 3*x + 6*x - 5*x. Let i(l) = 5*l + 3. Let n be (16\/6)\/((-2)\/(-3)). Give n*s(r) - 3*i(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 6059*g**2 - 532*g**3 - 3 + 6062*g**2 + 0 in the form a*g + s + n*g**3 + v*g**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 108\/((-4)\/1). Suppose 2*p - 2*f - z = 0, 13 - 65 = -5*p + f. Is 8 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 90*r + 86*r + 1434149, -3*r + 4302402 = 9*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 30. Let u(w) = w**2 - 2*w + 3. Is 3 a factor of u(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*x + 4*x - 28, 0 = -4*x + 2*d + 40. Suppose -400 = -x*o + 3*o. What are the prime factors of (o\/60)\/((-8)\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 20 - 22. Let d(h) = -93*h**3 - 3*h + 94*h**3 + 5*h**2 - 3 - h**2 + m*h**2. Calculate d(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let m be (-3 - -1)\/(p + 9). What is the third biggest value in 2, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 32171*n**2 - 66*n. Let s be h(-4). Round s to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*-2*sqrt(90))\/(1*sqrt(605) + sqrt(605) - sqrt(605)))\/((-6*1*sqrt(30))\/(sqrt(605)*-1 + sqrt(605) - sqrt(605))).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1950 + 3175. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/23 - -76\/115. Let f = -13 + 17. Let k be 62\/28 + 10\/(-4). What is the nearest to k in f, 4\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18711 - 23848. Is t >= -5137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 0, 3*w = 13*v - 15*v + 62295. List the prime factors of w.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7 + t**2 - 1 + 4*t - 3*t - 6*t. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73084.6ns in milliseconds?\nAnswer: 0.0730846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 586308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 282071, 0, -16 in decreasing order.\nAnswer: 282071, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d09632 - 0?\nAnswer: -d09632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:23 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636*y**2 + 893*y**2 - 263*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -163*x**8\/168 + x**7\/70 + x**5\/60 - 9*x**4\/2 - 2*x**2 + 491. Find the third derivative of b(n) wrt n.\nAnswer: -19560*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + -3*(sqrt(972) - (sqrt(972) + 1)) - (-4*(0 + sqrt(972) + -2))**2).\nAnswer: -15614 + 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 638 or 65814\/103?\nAnswer: 65814\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -608600*c**2*t**2 + 80517404*c**2 - 33*c*t**4 with respect to t.\nAnswer: -1217200*c**2*t - 132*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/7, -0.5, -13\/47, 5 in increasing order.\nAnswer: -0.5, -13\/47, -1\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 336*b - 2. Let i(q) = 112*q - 1. Give 8*i(u) - 3*r(u).\nAnswer: -112*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -109786.65 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3346.6 - 3346.2. Suppose -l + 27 = -4*l. What is the third smallest value in 0.2, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2728\/336)\/((-2400)\/(-1920))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*m**(2\/13))*m))\/m)**40\/(m**4)**(17\/5))**11 assuming m is positive.\nAnswer: m**(-33924\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47288 and 96.\nAnswer: 567456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c**2 + 2*c. Let w be j(-2). Suppose 2*q - 4*q + i + 81 = w, 0 = q - 3*i - 33. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1117005924 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 7*c + 3. Let k be n(7). What is the first derivative of -2*j**k + 2 - 2 - 2 + 1 wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -3*t. Suppose t*h + 3*h = 264. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (3 - 11) + 17 + (1 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-11) + (-1138440)\/(-17490).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-121)\/(-2))\/((-9)\/(-18)). Suppose v = 2*g - 415. What are the prime factors of g?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(6\/36*21). Let b = 127 - 511\/4. Let h = 21 - 25. What is the second biggest value in h, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.12749.\nAnswer: 0.25498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*s - 2*s = 8, 0 = 3*j - 2*s - 6. Suppose 2*v = -3*r + 31, -2*v - j*r - 6 = -38. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 10*o - 12. Let y be t(-8). Let h be (-9 + y)*(-4000)\/(-2). What is h rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 1110?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 0.0579.\nAnswer: -7.9421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((-13 - (-63)\/(-14)) + 21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180906.\nAnswer: 2, 3, 11, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(25\/4)\/(g\/(g**(-2\/9)\/g))**(-1\/53) assuming g is positive.\nAnswer: g**(4055\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.58355 rounded to zero decimal places?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -3*b - 0*b - 3*z, 5*z + 208 = 3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**3\/3 + 6*q. Calculate the remainder when 27 is divided by p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4 - 85584480*w**3 - 256753422*w**2 - 256753416*w - 85584471 = 0.\nAnswer: -28528157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.007656 - -32.231.\nAnswer: 32.238656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h - 5. Let y be w(5). Suppose -y*s = -12 - 53. What is the remainder when 38 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 12. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**34*k**(-4) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/12 + 2*v**2 + 7*v. Let l(r) be the second derivative of r**3\/2 + r. What is c(l(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -880.3608257 to 0 dps.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/3 - 3\/9. Suppose q - u = p + 2*p, 4*q + 2*p + 2 = 0. Let o(n) = 1 - 1 + n**q. Let v(d) = -3*d**2. What is o(v(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 127*u - 140*u + 2 - 3. Suppose -c + 0 - 5 = 4*r, -5*c = 5. Calculate the remainder when 23 is divided by z(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 3*f + 12)*(144 - f - 144 - 15*f**2).\nAnswer: -15*f**3 - 181*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2671960, -2671964, -2671978, -2672008, -2672060, -2672140, -2672254, -2672408?\nAnswer: -2672608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.01, 0.2, -1.5, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.2, 2\/15, -0.01, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:08 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 + -189. Let r = b - 27. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1240?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75638 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 219, 440, 677, 936, 1223?\n\"Answer: c**3 + 2*c**2 + 208*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 43*u + 263, -4*w + 262 = -693*u + 695*u for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/30 and (2093\/(-28) + -1)\/(33\/(-2))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 331 + 5659 - 515. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132) + sqrt(132))*-5 - (sqrt(132) - -3*1*sqrt(132)))\/((-1*sqrt(72))\/sqrt(6) - sqrt(192)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00847089883 to five decimal places.\nAnswer: -0.00847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1397379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523*q**4 - 3*q**3*v + 2*q*v - 3*q - 18*v wrt q.\nAnswer: -6276*q**2 - 18*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5710641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 1, -23, 2 in decreasing order.\nAnswer: 2, 1, -23, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 2) - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -195. Find the third derivative of 143 - a - 47 - 49 - 25*j**2 - 28*j**4 wrt j.\nAnswer: -672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-116 + 1 + -4). What is the highest common factor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k. Let u(a) = 3*a. Let y = -12 + 15. Let x(z) = -2*z. Let d(r) = y*u(r) + 5*x(r). Determine 5*d(n) + i(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73 + 15*r - 40*r - 11*r - 26*r wrt r.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 232 = 11*x + 263 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43110 divided by -6\nAnswer: 7185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -18*s - 326 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 3*x**2)*(-8 - 9 + 9)*(-3*x - 7*x - 7 + 8*x) - x**3 - x**3 + 0*x**3.\nAnswer: -50*x**3 - 168*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -3743, -5615?\nAnswer: -7487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -20. Let p be (-2)\/z + (-18)\/(-9) + -4. Suppose -9*t + 5*t = p. Does t = 4\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2376, -0.4, 20\/27, 0 in descending order.\nAnswer: 20\/27, 0, -0.4, -2376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34771, -363 in decreasing order.\nAnswer: -3, -363, -34771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190759 is divided by 319?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - (-10)\/(-6). Let u = 106 - 107. Let t = 3.2 - 3. Which is the nearest to 2\/3? (a) h (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 5*v - 127, -4*v - 86 = -2*g. Let h be g\/9 + 5\/(-15). Let d(r) = r**3 - 3*r**2 - 2*r - 1. Calculate d(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 86, 87, 34, -91, -306, -629?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -18 - 552. Solve -10 = 10*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(32) + 5)**2 - (5 + 1*sqrt(7) + -2 + (sqrt(7)*2 - sqrt(7))**2) - (-3*sqrt(560))\/(-6*(sqrt(5) - sqrt(180))).\nAnswer: 19*sqrt(7)\/10 + 247\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*t - 11, -5*t - 4*p + 2*p = 18. Suppose 5*a - 3*a + 2 = 0. What is the units digit of 75\/12 - a\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (49\/(-14))\/(2\/12). Let x(k) = k**2 + 18*k - 59. Let h be x(n). Solve -y - f + 5 = 0, y + 0*y - 2*f = -h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38129 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/3 - 310*i**3\/3 - 314*i**2 - 946*i\/3 - 316\/3 = 0.\nAnswer: -1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) 13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -111100011001?\nAnswer: -111100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 367?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phwpmvp. Give prob of picking 1 p, 1 v, 1 h, and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 16. Suppose -90 = -4*u + u. Calculate the greatest common factor of a and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/20)\/((-2)\/10). Suppose -11 = -2*q - 3. Suppose -q*p + o = -57, p - 15 + g = 2*o. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**2. Let a(l) = -12*l**2 - 5*l + 94. Let c(h) = -13*h**2 - 6*h + 113. Let n(u) = -6*a(u) + 5*c(u). What is 5*n(d) + 4*s(d)?\nAnswer: 3*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = -2*h - 2*i, -4*h = -5*i - 10. Suppose 12*a - 11*a - 3 = h. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 6*o - 4*o + (0 - 3 + 5)*(0 + 0 - o) + 38 - 38 + 13*o)*(0 - 3 - 3) to the form i*o + r and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 109*p - 11833. Give d(109).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 + -362. Sort 18\/13, 0.6, d.\nAnswer: d, 0.6, 18\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from rizsirzzijrsissjzisz?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43970642*c**4 - 15434202*c?\nAnswer: -527647704*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/sqrt(40))\/sqrt(3).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/33 and -101\/1064074?\nAnswer: 3192222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(0*n - 6*n + 3*n)*(-1 + 4 - 4)*(-7*n + n - 4*n**2 + 0*n**2) as v*n + m*n**2 + w*n**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -158977791 < -794888952\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3 + 26*s**2 + 64*s + 40 = 0. What is s?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -16590135?\nAnswer: -1659013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4085 - 0.0915. Which is the nearest to 1? (a) f (b) -8 (c) 0 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -944*z - 11729. Calculate x(-12).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/((-6)\/591)*-1 + 92\/(-46) and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324366.9 millilitres in litres?\nAnswer: 324.3669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a**4 - 9*a**2 - 9*a**3 + a**3 + 12*a**2 - 19*a**4 to the form t*a**4 + v*a**3 + f*a + g + x*a**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3285*k - 1208*k - 725*k + 3588*k.\nAnswer: 4940*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {f: 1, p: 2, y: 1, n: 5, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ksasmsvkssakaa?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-4 - -4) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/6 + 2*w**3\/3 + w**2. Let t(g) be the first derivative of g**2\/2 + g + 8. Let d(q) = -2*p(q) + 9*t(q). What is d(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.17? (a) 4 (b) 1\/3 (c) 7\/692\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**2 + 130*i - 258. Calculate g(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 - (-45)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + (-74)\/(-14). Let f(g) be the second derivative of g**3\/3 + 2*g**2 + 35*g. Let w be f(7). Solve 2*h - 3*h - v*y - w = 0, -2*h + y = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*20\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -29*x - 742. Determine g(25).\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 744082095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 50. Let l be 1*6*(-2)\/(-6). Calculate the highest common divisor of a and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d. Let c(u) be the first derivative of -9*u**2\/2 + 1. Let j = -25 - -30. Let t(k) = j*w(k) - 3*c(k). Let l(b) = 6*b**2. What is t(l(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/6 + (-19)\/(-6). What is the smallest value in -0.1, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 + 3*g - 2. Let u be i(-4). Suppose 3*q + 1 = -u. Is q at most as big as -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 656\/27159 + 30\/823. Let j = -12 - -12.14. Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*6\/3)\/((-14)\/4809). Is (-12)\/(-21) - y\/(-21) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = 5*q, 2*q - 6*q - 1 = 3*m. Let j(l) be the second derivative of -22*l - 1\/3*l**3 + 0 + 1\/18*l**4 + 0*l**q. Factor j(a).\nAnswer: 2*a*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -0*n + 5*n, 25 = -5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(720) + sqrt(720) + 4 + (4 + 3 + sqrt(720) - sqrt(720) - sqrt(720))**2 + -5.\nAnswer: -180*sqrt(5) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93912 rounded to 3 dps?\nAnswer: -0.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 46*l - 60*l - 41*l + 133*l**2.\nAnswer: 133*l**2 - 147*l + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-16\/5)*(w**(-1\/3))**(-42)*(w**(3\/8)\/(w*w*w**(-7)*w))\/(w*w*w**(-1)*w*(w*w**(-3\/5)\/w)\/w*w) assuming w is positive.\nAnswer: w**(679\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -1)*2640\/45.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2015 - 0.2015. Which is the nearest to n? (a) 37 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:16 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -20. Let p be ((-3)\/2)\/(h\/20). Suppose 8*k = 3*k - p. Which is bigger: 0.5 or k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -1241, -1861?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1682, -3393, -5100, -6803, -8502?\nAnswer: -10197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38129, -76258, -114389, -152522, -190657, -228794?\nAnswer: -266933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**(-28)\/(q**(-4\/9)*q*q\/(q**(-5)\/q)) assuming q is positive.\nAnswer: q**(-572\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29204.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:50 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 172. What is the lowest common multiple of l and 726?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 7*h**2 - 10*h + 2. Let y be o(3). Let w be (18\/12)\/(3\/y) + 0. Let a be ((-8)\/(-132))\/(-3*w\/(-54)). Sort 2, -0.4, a in ascending order.\nAnswer: -0.4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 164\/(-176) - 4\/((-48)\/9). Which is the biggest value? (a) o (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0 + (1 - 1 + 2)*(-3 - 1 + 2) + 0 - 1 - 1 - 1 + 1 + 1)*(-4 + 5 - 2*c + 20*c) + (3 + 0 + 1)*(-2*c + c - 2*c).\nAnswer: -120*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54914632, 54914658, 54914684, 54914710, 54914736, 54914762?\n\"Answer: 26*u + 54914606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*p**3 + 3*p + 121*p**3 - p**2 - 3*p to the form g*p**3 + d*p + f + r*p**2 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -62\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 52\/(-18))*9. Let m(q) = 2*q**3 - 2*q**2 + q + 1. Let a be m(2). Sort a, 2, h in descending order.\nAnswer: a, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7276 + 10533. Let g = y - 2082. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-315)\/12)\/(-5)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - y - 3*y**3 - 5*y**2 + 4*y**2. Let k(n) = -n**3 + 2*n**2 + 5*n. Let s(z) = -k(z) - 2*m(z). What is p in s(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4529092 * -0.3.\nAnswer: 1358727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s + 28. Let h = 467 - 305. Suppose 2*u = -4*y + h, -u + 5*y + 80 = 6. What is the remainder when u is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.959183923 to three decimal places.\nAnswer: -1.959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-1\/3)))**(-28\/5))**(2\/37) assuming y is positive.\nAnswer: y**(-56\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - 1025*l + 1024. Let c(j) = -10*j**2 + 2050*j - 2050. Let y(m) = -2*c(m) - 5*q(m). Factor y(a).\nAnswer: -5*(a - 204)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1471 or -1187?\nAnswer: 1471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose 6 = -l*u - 4. Let p be 4\/(u\/(-1)) + 1. Solve -p = -b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9020000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125.1121532 from -0.2.\nAnswer: 124.9121532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60028 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*x + 2*x = 15, -3*x = 15. Put 2, t, 11 in ascending order.\nAnswer: t, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**2\/2 - 3*s - 9. Let t be z(-7). Suppose t*f = 92 + 144. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67741739 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1112714mm in nanometers?\nAnswer: 111271.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rffz when four letters picked without replacement from {r: 4, z: 10, o: 1, f: 4}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2652 - -0.0348. Which is the nearest to t? (a) 5 (b) -2\/25 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -295\/57 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - 154. Let x = 171.9999756 + i. What is x rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3 + 0 + 1 + 2*u. Calculate the remainder when 6 is divided by t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 4*y + 3 + 2. Let f be q(13). Suppose -2*v + 11 = -5*i, 5*v + i = 4*i + f. Let p(h) = h**2 - 2*h - 4. Give p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:20 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2368080 and 207504.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8546 and 9.\nAnswer: -76914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*o**3 + 33*b**3*o + 1946*b**3 - 138836*o**4 wrt o.\nAnswer: 6*b**3*o - 1666032*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -259953, -259968, -260007, -260082, -260205, -260388, -260643, -260982?\n\"Answer: -2*r**3 - r - 259950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*g + 23592, 212*g - 210*g = 4*i - 18870. What are the prime factors of i?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20497 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/10 - 18*b**3\/5 - 27*b**2 - 378*b\/5 + 1976. Determine x, given that c(x) = 0.\nAnswer: -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x + 228. What are the prime factors of w(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261\/325 - 1\/325. Let k = -2.1 + -5.9. Let u = 556.2 - 560.2. What is the biggest value in y, u, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-113404)\/(-10) - (-12)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15)**31 assuming h is positive.\nAnswer: h**465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 + 12*a - 11. Let z be w(1). Suppose -10*t = 3*t - z*t. Solve 2*d - 6*j + j - 21 = 0, -d - 4*j - 9 = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 236636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = 3, -t + g = -84. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27035134?\nAnswer: 2, 7, 17, 29, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323295 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14844*o**2 - 11*o - 4131. Let d(i) = -7422*i**2 + 5*i + 2072. Let l(z) = -11*d(z) - 5*v(z). Differentiate l(k) with respect to k.\nAnswer: 14844*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3354615 rounded to 4 decimal places?\nAnswer: -0.3355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 1623, 3642, 6465, 10092, 14523?\nAnswer: 19758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from pjwiizm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. What is the closest to -2\/3 in 3, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 204 = 184 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {y: 4, c: 1, d: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-28))\/((-1)\/4). Suppose 35 - 5 = k*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 - 2*s. Let m be x(2). Suppose m = 6*t - t. Solve t*d + 3 + 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 256\/3. What is the fourth biggest value in 1, h, -5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 at most as big as -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-154)\/(-14))\/(-33))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000809863521 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 253*v**3 - 3*v**2 - 4*v - 2. What is m(-1)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -136495, 1\/22 in descending order.\nAnswer: 1\/22, -1, -136495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 11759\nAnswer: 2\/11759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -742020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26121, -26100, -26079, -26058, -26037, -26016?\n\"Answer: 21*g - 26142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4 + b**3\/3 + 17*b**2\/2 - 49*b. List the prime factors of y(-5).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 30 - 186 + 4*n + 150. Let i(z) = z - 1. Give 2*i(x) - s(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 23. Let g = -2\/45 + -13\/45. What is the second biggest value in p, 0.3, 2, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 589. Let r(l) = l - 80. What is 14*r(i) - 2*t(i)?\nAnswer: 16*i + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34358138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 54 = 4*w, 14 - 39 = -5*y. Which is bigger: w or -160\/11?\nAnswer: -160\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((((v**(-1\/3)*v)\/v)\/v)\/v)\/v)**(5\/11))**(4\/33))**(-1\/54))**33 assuming v is positive.\nAnswer: v**(100\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**2 - 4*r - 24. Is 24 a factor of c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q + 0*q + 2*q + 2*q - 2*q + (-2 + 2 + q)*(1 - 2 - 1) - 1 - q + 1)*(49*q + 21*q - 7*q).\nAnswer: 63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/198*(-15)\/1*(-4)\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35467, -34594, -33709, -32806, -31879, -30922, -29929, -28894?\nAnswer: -27811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -13, 1, -84\/5, 1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7939 + -1.1.\nAnswer: -7940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2559*t - 799?\nAnswer: -2559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -57825, 9\/631, 0.2 in descending order.\nAnswer: 5, 0.2, 9\/631, -57825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15219 is divided by 525?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. Let b be (0 - (-3 + m))\/2. What is the units digit of b - ((-11)\/1 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1021730 by 830.\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 4*a + 2. Let j = 34 + -36. Let z(p) = -6*p**2 - 9*p - 5. Calculate j*z(k) - 5*b(k).\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 289*(-60)\/450)*5.\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-8 - -8) + (7 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120 = 105*i - 765 - 215 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 3. Let v(a) = a + 1. Let l(r) = -3*v(r) - x(r). Let q be l(-2). Suppose 3*s = q + 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:44 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.2 + -54. Let l = f + 27.99. What is the third biggest value in -2\/11, 5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/30)\/((-2)\/10). Let u = 3.12 - -0.88. Which is the third biggest value? (a) 0.5 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 46) + (-3 - -5). Let z = -15 - s. Solve -2*c - 26 = -4*m, -5*m + 2*c + 3 = -z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18768036*c**2 + 1496342.\nAnswer: -37536072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-6)*14\/2. Let d = -7 + m. Let x be (-500)\/(-2 + 13\/d). What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8044*l + 25902*l + 9892*l as a + k*l and give k.\nAnswer: 27750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-24) - 2)\/(4\/(-32)). Let u(a) = 162*a**2 - 61*a**t - 81*a**2. Determine u(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-17 - -10) + 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (-54)\/(-4)*((-100)\/15)\/(-5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 41*s**3 - 11*s**3 + 246*s**3 + 252*s**3.\nAnswer: 507*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10816, 0.03, 4\/9, -0.2, 0 in decreasing order.\nAnswer: 10816, 4\/9, 0.03, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10027 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -4 - (14 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318890 is divided by 159440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 9) to base 7.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -260, -271, -298, -347, -424, -535?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(24\/(-50649)))\/((-6)\/(-13)). Let h = -18302 + g. What is the common denominator of -125\/6 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210911?\nAnswer: 269, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/(1\/(-15)). Suppose -2*v - 2 = 4*a, 1 - p = -4*v. Let u(m) = 4*m + 3*m + 4 - 5*m. Let t(x) = -1. Give a*u(i) - 3*t(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16631\/16 + 2647729\/2544. Let o = p + -1\/318. Factor o + 28\/3*u**2 - 4*u**3 - 20\/3*u.\nAnswer: -4*(u - 1)**2*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*k + 53218 = 259*k. What is the greatest common divisor of 410 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/4, -5, 5, -0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1035 + 3071\/3. Let v = -11 - y. Let w = 0.3 + -1.3. Which is the nearest to w? (a) -3 (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1035 in increasing order.\nAnswer: 2, 4, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -3)\/(4\/20). Calculate the common denominator of -87\/16 and 226\/15*t\/72.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 - 2*v**2)*(9 + 15*v**2 - 3 - 4)*(-4*v + 3*v - v).\nAnswer: 90*v**5 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 4 - 4)*(199*y + 67*y - 38*y) to k*y**2 + m*y + j and give k.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + -217. Let y = r - -361. Calculate the remainder when 172 is divided by y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojk when three letters picked without replacement from jezokzooeezekezo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -86, -80, -64, -38, -2?\n\"Answer: 5*b**2 - 19*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = -6 - 5. Let a be ((-1 - 2) + m)*(-4)\/2. What is the common denominator of -59\/20 and a\/(-52) - (-3 + 765\/(-156))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 3*h**2 - 2*h + 3. Let j(v) = -5*v**3 + 8*v**2 + 5*v - 8. What is 3*j(b) + 8*x(b)?\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5063*g**2 - 10*g**4 + 2*g + 162*g**3 + 1 + 13*g**4 + 5064*g**2 to the form m*g**3 + s*g**4 + v*g + o + h*g**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 26*x - 5*x)*(-139*x**2 - 19*x**2 + 0*x**2)*(-4*x + 6*x + 0*x) + 3*x**4 - 4*x**4 + 0*x**4.\nAnswer: 11059*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 + 2*o**2 + 0*o**2 - 6*o**3 as q + n*o**3 + a*o**2 + l*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.38140366 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/5))**(-21)\/(q**(-1\/5)*q*q*q**(-1\/5)))**(-6\/7))**31 assuming q is positive.\nAnswer: q**(5766\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -724 - -1259. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -3, 5\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**2 + m + 38. Let c(f) = -31*f**2 + 4*f + 109. Determine -6*c(j) + 17*w(j).\nAnswer: -j**2 - 7*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 280*a - 72. What is the thousands digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, v: 7, x: 1}. Give prob of sequence xp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let o = -0.026 + -0.174. Which is the nearest to i? (a) o (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -340, -804, -1472, -2350, -3444, -4760?\n\"Answer: -a**3 - 93*a**2 + 20*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 68 + 3 = 0. Let l = 24 + b. Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.631207 nanograms in kilograms?\nAnswer: 0.000000000004631207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + c**2 + c**2 + (-2*c + 3 - 3)*(3*c + 2*c - 4*c) + 5*c - 2*c**2 - 5*c)*(-3 + 0 + 1).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, 36, 180, 450, 888?\n\"Answer: 7*s**3 + 11*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away 0.04577?\nAnswer: -0.06577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -2*r - b*r + 10444 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 4*f**2 + 29*f**2 - 6*f**2 + 0*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w*w\/(w*w**(-2)))\/(w*w**(-2\/5))**43)\/((w**(-5))**(13\/7))**(-36) assuming w is positive.\nAnswer: w**(-12568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.68*-310\nAnswer: 210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32 - (-252)\/(-45 + 24). Solve 188*d - 185*d + v = 5*h, 0 = -4*d - 5*h + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/19 (b) 3 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -230.97.\nAnswer: -230.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 88740402?\nAnswer: 88740401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-15))\/((-21)\/18). Let j = -29.76 + 30. Let x = 5.24 - j. Sort 7, x, h in increasing order.\nAnswer: h, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85\/2 - -44. Let t = -105.56 - -108.16. What is the biggest value in t, 2, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0 + 16, z = -3*j + 19112. Suppose -11*l = -z - 103935. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 264*n + 261 = 0?\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54151\/2686 - -25\/4029. Let j = -747997\/28 - -26718. Calculate the common denominator of q and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 36*u**2 - 248*u + 72. What is y(-9)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)\/u*u*u\/(u*u**(2\/3))*u\/(u*(u\/(u\/(u**0\/u)))\/u*u)*u**(-7)*u*u*u*u)\/(((u*u\/((u\/(u*u**0))\/u))\/u)**(-43)\/(u**0)**(-50)) assuming u is positive.\nAnswer: u**(250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z - 9. Let n be r(4). Suppose -2*k - u = -14, 4*u = -2*k + n*k + 11. Solve v - k + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 times -15685?\nAnswer: 5536805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26151560.\nAnswer: 2, 5, 653789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648493741.\nAnswer: 7, 92641963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11732*r**2 - 5108*r**2 - 3465*r**2 - 4710*r**2 as o*r**2 + f*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51127989917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-2\/123))**(-15)*((c**(-1\/3)*c)\/((c*c**(1\/7))\/c))**(2\/5) assuming c is positive.\nAnswer: c**(482\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 6558 = 67806. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u**3 + 4*u**2 - 8*u + 3. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -4, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Suppose -4*y + 3 + f = 0. Which is the second smallest value? (a) y (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 2. Let r be y\/14 + 2\/(56\/60). Solve -3*j + j = -r*w - 16, -4*w - 3*j + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -498 + 497. Which is smaller: y or -2\/3565?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 30*a**2 - 2*a + 64. Let c be w(30). Let b(v) = v**2 + 1. Let z(l) = -l**3 + 2*l - 8. Let h(y) = 4*b(y) + z(y). What is h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1560 >= -1563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722034?\nAnswer: 2, 3, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 9*n + 5. Let v be a(-5). Let f = 5 - 10. Let l be 2\/f - (-110)\/v. Solve 5*s + l = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and -1\/6884898.\nAnswer: 6884898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32110 (base 4) in base 16?\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 1980 = -59*t. Let l be ((-2)\/(-4))\/((-9)\/t) + 10. Let r(u) = 6*u. Let v be r(-1). Sort 4, -1, l, v in decreasing order.\nAnswer: l, 4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8048 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + 11\/((-22)\/(-2232)). Let p = z + -725. Suppose 16*s - p = 10*s. Calculate the highest common factor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 23*v - 10. Suppose -4*g - x = -103, g + 4*x = 50 + 2. What is the smallest common multiple of f(5) and g?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 78 - 142 = 0. Let g be (56\/5)\/(11\/j). Let m = g - -223\/4. Put 3, -2\/5, m in decreasing order.\nAnswer: 3, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407934.\nAnswer: 2, 103, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 272765871 a multiple of 5943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4.87, 7, -1\/26, 1\/3, -1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*p - 2*p = -120, 5*p = 0. Suppose 4*t + 70 = 2*f + 3*t, -150 = -4*f - 3*t. Calculate the greatest common factor of f and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -260, -509, -846, -1277?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -73.5. Let w = 0.29 + -0.11. Let s = 2.18 - w. Which is the closest to -6? (a) -1 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -16*z**2 + 84*z + 65. What is i(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -23. Let g = -6 - -5.8. What is the closest to g in 2, 3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -4, 2.\nAnswer: -6, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*q - 3, -2*q + 10 = -0*k - 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:45 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/15 - 0\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.85 less than 22368.80939?\nAnswer: 22374.65939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.756695 years?\nAnswer: 0.3756695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 12. Suppose 0 = -2*m - n*m + 70. What is the remainder when 25 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080037806 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 0. Let x = -23.03 + 23. Let q = f - x. Which is the third smallest value? (a) q (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from uuuubbubub?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30455?\nAnswer: 5, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 18*k + 24. Let z be b(-17). Which is greater: z or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264 - 278.3. Let z = l + 14. Let o be 3\/9 + 84\/(-9). What is the third smallest value in 0.3, z, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2 + 8 - 10 - 2*j + 2*j**2. Let k be u(-2). Solve -h + k - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - 3*f - 36. Let t(g) = 2*g**2 + g + 19. Let j be (-8)\/(-6) + -1 - 1274\/(-147). Let k(y) = j*t(y) + 5*z(y). Factor k(b).\nAnswer: 3*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2515*c**3*k + 3*c**3 + 168*c**2*k + 5*c**2 + 11*c + 20382 wrt k?\nAnswer: 2515*c**3 + 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v)**(-16)\/(v**(1\/8))**(13\/3) assuming v is positive.\nAnswer: v**(371\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**3*v**2 + 430163*i**3 - 5*i**2 + 2649256*i*v**2 - 3 wrt v.\nAnswer: -10*i**3*v + 5298512*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4 - (-3 + 6)) + 2)\/(-1). Let l(a) = -93*a**3 - 2*a**2 + 5*a - 5. Is l(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**4\/24 + 7*c**3\/2 - 44*c**2. What is the units digit of n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 4. Let p(h) = -h**2 - 7*h - 9. Let u be p(-6). Let d be n(u). Suppose 4*v - 6*v + d = 0. Solve v = -w + 2*f, 4*f = -2*w - f + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*m + 3*g - 7, -22 = 4*m - 2*g for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320031 - -44?\nAnswer: -2314432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.07 (b) 21 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = m - 5. Let f = 29 + m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/5, -3, -2.7, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2342 or -2330?\nAnswer: -2330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p + 24 + 22941999*p**3 + 0*p**2 - 22942002*p**3 + 5*p**2. Calculate u(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15099843929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96 - -263402?\nAnswer: 263328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593047, -593038, -593029, -593020?\nAnswer: -593011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - 2*m + 4 + 2*m - 4 + 2*m + m - 2*m - 3*m - m + 3*m - 4*m + 3*m + 0*m + (-1 + 3 - 4)*(-2*m + m + 0*m) - 2 + 2 - 2*m - 2*m - 1 + 1.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 781454 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12090.8 times 11\nAnswer: -132998.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 4) + (-20 + 25 - (8 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4045, 4068, 4105, 4156, 4221?\n\"Answer: 7*x**2 + 2*x + 4036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288830 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 <= 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*j + 32 = 0, 4*u + 0*j + 8 = -4*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*g + 6 - 4, -10 = 5*g. Is 4923\/11 - n\/(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/70 - a**4\/14 + 8*a**3\/7 + 80*a**2\/7 - 5*a + 2. Factor u(d).\nAnswer: -2*(d - 5)*(d + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-68)\/(-136))\/(1\/(-4)))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -16*l**2 + 0 - 1\/10*l**5 + 10\/3*l**3 + 7\/6*l**4 + 90*l. Factor x(r).\nAnswer: -2*(r - 8)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033915 rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9584592?\nAnswer: 2, 3, 199679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 - 123*d**3 + 27 + 62 as c*d**3 + o + t*d**2 + r*d and give c.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*l**2 + 44*l**2 + 5*l**3)*(-16*l + 10*l - 47*l).\nAnswer: -265*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 37*t + 1615 = 53*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(12) - (sqrt(12) - ((sqrt(60)\/sqrt(5) + sqrt(12) - sqrt(12)) + sqrt(12))))\/sqrt(6))**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1849348843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37867395 is divided by 3142.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -24. Suppose -2*z + 4 = -4*z + b*y, 0 = -z - y + 8. Suppose -3 = 3*i - 0*i. Sort i, -3, z in increasing order.\nAnswer: -3, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.9 + -37. Which is the third biggest value? (a) -3\/2 (b) 1.2 (c) s (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0580756 + 22521\nAnswer: 22520.9419244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 77.03. Let r = -67.03 - f. Let q = r - -65.99967. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - m - 552, 2*v + 2*v + 4*m = -1112. Let g be 3\/(-6) - 17*v\/4. Suppose g = 9*l + 3*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19268*q + 22119642. Determine r(-1148).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/8 (b) 19 (c) -2\/13 (d) -15\/7 (e) 2\/3 (f) 2 (g) -1\/10\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -36, -71, -140, -261, -452, -731?\n\"Answer: -3*f**3 + 10*f**2 - 28*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 318859271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33754950 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1136*l**6 - l**2 - 89 wrt l?\nAnswer: 136320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-640)\/1280)\/((-35)\/(-30)*1\/476*4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 577, 1173, 1769, 2365, 2961, 3557?\n\"Answer: 596*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2440547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**3*p - 42710*d**3 + 2*d**2*p**2 - 6083912*d - p**2 wrt d?\nAnswer: -168*d*p - 256260*d + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cucu when four letters picked without replacement from {c: 7, u: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 16 = -8*l. Let m be ((-7)\/4)\/((-1)\/(-4)). Let c(i) = -5*i + 11. Let x(f) = -3*f + 6. Calculate l*c(p) + m*x(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 225\/(-500). Let y = 4.53 + -4.53. What is the nearest to -1 in y, q, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23219936759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 + 0*s + 0*s)*(2*s - 2 + 2) + 2*s**4 + s**4 - 4*s**4 + 9*s**4 + 5*s**4 + 10*s**4 to y*s**3 + d*s + j*s**2 + b + w*s**4 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 43. Let l = 0.212 - 0.212. What is the closest to w in l, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 28. Solve -7 = -3*d + g, t = 3*d + 4*g - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/11, 0.2, 4, 3\/2, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bca (base 13) to base 12.\nAnswer: -1209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+660\nAnswer: 659.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((7 - 0) + -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 8. Let z be h(5). Solve 2*l + 4*t - 10 = 2*t, -z*l + 5*t + 7 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593, -1157, -1679, -2147, -2549, -2873, -3107, -3239?\nAnswer: -3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 4:06 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 26, -3\/5 in increasing order.\nAnswer: -2\/3, -3\/5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2 + 2. List the prime factors of (g - 0) + (-7)\/(14\/(-48)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2118863 and 1.19.\nAnswer: 0.9781137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7518, -7501, -7484, -7467?\nAnswer: -7450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p. Let a(w) = -30648848*w. Calculate a(t(y)).\nAnswer: -306488480*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 546493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18*(-51)\/((-51)\/(-4)))\/(2\/(-27))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4\/6 + 1675*y**3 + 5009765*y**2\/6 - 6760300*y + 40723240\/3 = 0 for y.\nAnswer: -1009, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 4*v)*(3*v**4 - 2*v**4 - 20*v**4 + 0*v + 0*v - v**4 + (1 - 1 + 2*v)*(-4*v**3 + 5*v**3 - 3*v**3)).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/5 + 18*n**2\/5 - 4*n = 0. What is n?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*t)*(3 - 2 + 1) + 0*t + 4*t - 3*t)*(-1 + 7 - 2).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70598, 272851, 609940, 1081865, 1688626, 2430223, 3306656?\nAnswer: 4317925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c - 20. Let f = c + -14. Does 11 divide (-289)\/(-7) + f\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaa when three letters picked without replacement from uauaaaauuuaa.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/388 less than 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 884. Let f = -373 + u. Let j = -250 + f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 - 296. Solve -4*j = 2*l + l + 31, -28 = 2*j + f*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9, -s - 3*s - 2*n + 18 = 0. Let l be (s\/(-4))\/(15\/40). Sort 5, 3, l in decreasing order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13091 = 9*b - 11*b, -3*w = -3*b + 19626. What are the prime factors of b?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8501068 and 10168?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/52043124 and 17\/44.\nAnswer: 572474364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2078 divided by 13?\nAnswer: -2078\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 5*t + t - 5*t. Let x(f) = -9*f**3 - 18*f. Calculate -x(a) + 18*y(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h - 24 = 0. Let q(m) = -m**3 - 6*m**2 + m + 4. Let o be q(h). Let z = 0.6 - 0.8. Which is the smallest value? (a) o (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70, -131, -186, -235, -278, -315, -346?\n\"Answer: 3*n**2 - 70*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) -5 (c) -1\/6 (d) 16463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - 2\/(-42). Let q = -17.5 - -25. Let b = 8.5 - q. What is the smallest value in w, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210 (base 3) to base 2.\nAnswer: 10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*g - 293*g = -612*g - 340 for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -57. Let l be (28\/(-12) + 1)*15\/j. Let m be (4\/3)\/l*11\/22. Is m bigger than 0.033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4338187.\nAnswer: 3\/4338187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1124 divided by -281\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -131*p**7\/21 + 13*p**3\/6 - 4*p**2 - 259*p. Find the second derivative of v(g) wrt g.\nAnswer: -5240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 + 1)*(1 - 1 + 1)*(1 - 2 + 3).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4952 + 0.2052. What is the fourth biggest value in 1\/2, -0.9, 5, o?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14818119*z**3 + 23486*z**2 + 263*z?\nAnswer: -88908714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 28*m**4 + 120*m**3 + 1900*m**2 - 118*m - 1872 = 0.\nAnswer: -13, -9, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1.5. Let y = d + -10.5. What is the third smallest value in y, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Suppose n = -3*i + b, -i = 2*n + 4 - 2. Let h be ((-2)\/3)\/(2\/(-3)). Solve h = -a + i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:30 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1772 - 1746. Which is the second smallest value? (a) -0.2 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let a = -4 - w. What is the second biggest value in 0, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p - 6751 = -9165 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(136)\/sqrt(8))**2 - sqrt(1088)*-3) + 0.\nAnswer: 33 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308 - -329)*(-74)\/42?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -154, -224, -298, -382?\n\"Answer: -k**3 + 7*k**2 - 86*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**4)\/o)\/(((o*o\/o**6)\/o)\/o))\/(o*o\/(o**6*o)*o*o*o*(o*o**(3\/5))\/o*o*o*o*o) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/940 > 6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccocoocccoccc. Give prob of picking 2 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 8:58 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357739 is divided by 194.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r. Let v(b) = -b**4 + 6*b**3 + 4*b**2 + 6*b. Let w be (-1 - (-12)\/3) + 3. Let f(t) = w*k(t) + v(t). Find the third derivative of f(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17172695 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 14) to base 11.\nAnswer: -6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 15. Calculate m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 38*p - 822. Give v(22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + 17. Let g(v) = 2*v + 2. Is g(f) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3307179555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -9.5. Let n = i + 9.4. Let v = 5 - n. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1809368 and -73\/328976.\nAnswer: 3618736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:12 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 925\/506 + -45\/22. Let b = r - -32\/253. Let k = -117 - -116.8. What is the closest to k in 5, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-y**2 - 1 + 1) + (-1 + y + 1 + (-2*y + 4*y + 0*y)*(-4 + 0 + 3) - y - 2*y + 0*y)*(-y + y + 3*y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(273\/78*(-1)\/7))\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 5*l + 40. Suppose 0 = 4*m + 3*d - 3, m + l - 1 = -4*d. Solve m*h + 6 - 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, -9418, -6.\nAnswer: -9418, -6, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104608 at most 10104600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c. Let k be (-9)\/(-2) + 48\/(-32). Let x(w) be the first derivative of -12 - k*w**2 + 0*w**2 + 0*w**2. What is h(x(u))?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4235 = -31*s + 20*s. What is the highest common factor of s and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*z**3 - 2396*z**2 - 37792*z + 9024.\nAnswer: 4*(z - 47)*(z + 12)*(17*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 889092*d**2*h**3*m - 10937*d**2*h**2*m - 2*d**2*h*m + 16*d**2*m - h**3*m - 2*h**2*m wrt h.\nAnswer: 5334552*d**2*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23424 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319731434?\nAnswer: 2, 11, 1907, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69530672 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 11222?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)\/p*p*p*p*(p*p\/(p\/p**(1\/8))*p)\/p)\/(p**(1\/2)\/p)**(-2\/3))\/(p**4*p**(-5\/3)*(p\/(p**4*p))\/(p\/p**(-3\/8))) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/9)*j*j*(j*(j*j**(1\/2))\/j)\/j*(j**(1\/3))**(4\/31) assuming j is positive.\nAnswer: j**(1357\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -23*a**2 + 93*a + 9254. Determine v(-18).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12616 + -12555. Let g(a) = a**3 - 2*a**2 - 2*a - 5. What is the remainder when j is divided by g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -0.4\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -69. Let l(p) be the first derivative of -1\/12*p**c + 0*p - 1\/8*p**2 - 3. Suppose l(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660*x**3 + 27680*x**3 + 5484*x**3.\nAnswer: 34824*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 43*g + 114. Determine l(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 565599889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -2\/7, 2\/81, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-216)\/24 - (-2 + -15). Suppose 0 = 3*o - r + 15, -3*r + 13 = z*o - 9*o. Let l(k) = -k**2 + 1. Let a be l(-2). Put a, 5, -21, o in descending order.\nAnswer: 5, a, o, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7738334357 to the power of 1\/3, to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -495, -1001, -1507, -2013, -2519, -3025?\nAnswer: -3531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10*a + 48. Let b(z) = z - 1. What is -8*b(k) - q(k)?\nAnswer: 2*k - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28)\/sqrt(36).\nAnswer: sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 3*f**3 - 6379 + 2*f**4 + f + f**2 + 6375 to the form h*f + m*f**2 + r*f**4 + w*f**3 + p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 + (-10)\/4 + 230\/92.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90.17309 + 0.03309. Let d = b + 90. Let t = d + 0.16. Which is bigger: 2\/7 or t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.19762 rounded to one dp?\nAnswer: -53.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 4*s - 2*s + 3*s - 3*s + s - s + 5 - 5 + (s + 0*s + s)*(-1 + 1 - 2) to h + w*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let s be f(-1). Suppose s*m - 16 - 10 = 0. Suppose 7*x - 4*x = 72. Calculate the remainder when x is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g + 5. Let q(f) = -6*f + 8. Suppose 9 = -3*s - 3*u - 0, 2*s + 3*u + 9 = 0. Let r = s + -8. Give r*z(l) + 5*q(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*p + 5*t, 3*p + 4*t - 7 - 13 = 0. Suppose p = -184*g + 185*g. Calculate the remainder when (-2)\/9 + (-202)\/(-18) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4.98 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24 and ((-831)\/90 - -2) + (-2)\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(12)\/sqrt(3)) - (sqrt(5) + (sqrt(5) - ((sqrt(5) - (sqrt(30)\/sqrt(96) + sqrt(5))**2) + sqrt(5)))).\nAnswer: -125\/16 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/27 + ((-57380)\/3591 - -16). Which is the third biggest value? (a) s (b) -1\/7 (c) 1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -2\/3, -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-32)\/120.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -649973 divided by -1?\nAnswer: 649973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*q - 11*q**2 + 13*q**2 + 4*q - 5*q**2 + q**2 to the form d*q + a + h*q**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + 4*o - 5. Suppose l - 3*l = -4. Let w(r) = -8*r**l + 48 + r - 62 + 10*r. Calculate 11*v(j) - 4*w(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077179577 to six dps.\nAnswer: -0.007718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*a**2 + 0)*(-2*a - 4 + 4) - 101*a**3 + 644 - 644.\nAnswer: -107*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (36\/2)\/(-3). Suppose 3*s + 5 = -2*s. Put s, 0, l in decreasing order.\nAnswer: l, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 204 = -4*k, 5*k + 66 = 5*n - 224 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18121, -36235, -54345, -72451, -90553?\nAnswer: -108651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 21 - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104127766 by 1.\nAnswer: -104127766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1*u)**(10\/13)\/(u**(-2\/7))**(2\/173))**(-6\/11))**(-6) assuming u is positive.\nAnswer: u**(873792\/173173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 7793 = -20047. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1069 (base 12) to base 8\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, 70, -1, -2, 3 in descending order.\nAnswer: 70, 5, 3, -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 9. Let h be 12\/15 - (63\/(-15) - z). Suppose 6*i - 5*t = i + 955, -h*t - 381 = -2*i. Calculate the greatest common divisor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w + 3*w**2 - 2*w**2 - 356 + 345 in the form n*w + c + v*w**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilrzrrridrdd. Give prob of sequence di.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -50\/141, 0, -0.2, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22906, 22473, 21750, 20737, 19434, 17841?\nAnswer: 15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 76*b + 5709. Calculate the remainder when 185 is divided by o(-74).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.484 and -3?\nAnswer: 4.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**3 + 154*o**4 - 314*o**4 + o**2 + 153*o**4 - 9 wrt o?\nAnswer: -168*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41452, 168361, 379886, 676027, 1056784?\n\"Answer: 42308*t**2 - 15*t - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3813193.\nAnswer: 23, 317, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1537, 3801, 6805, 10543, 15009, 20197, 26101, 32715?\n\"Answer: -t**3 + 376*t**2 + 1143*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + (6 - 1) + -2 - -3) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)*o*o*o**2*o)\/(o**(-8)*(o*o**(1\/4)*o)\/o) assuming o is positive.\nAnswer: o**(603\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3 + 21*g**2\/4 - 19*g\/4 - 3\/2 = 0.\nAnswer: -6, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(7) + -1 + -1) + -4)**2.\nAnswer: -60*sqrt(7) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -q - 231. Suppose -q*w + 300 = -16*w. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1272 and 9699?\nAnswer: 77592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 709027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 8. Suppose -2*a + 4*p = 4, -4*a = h*p - p - 3. Suppose 2*k + 12 = 5*g - a, 0 = -4*g - 3*k + 5. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + r + 40, -5*c - 2*r = -21 - 42. Suppose -3*s + 30 = 3*l, 3*s + 9 = 5*l - 49. What is the smallest common multiple of c and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3336003257?\nAnswer: 3336003257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -183?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 + 318 = 0. What is the tens digit of ((-351)\/q + -5)\/((-1)\/(-640))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 641, 2573, 5793, 10301?\n\"Answer: 644*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**3 - 16*n**3 + 32*n**3 - 9 + 163*n.\nAnswer: -3*n**3 + 163*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33087816 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 91 (b) -443 (c) -55 (d) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 510.7133g?\nAnswer: 510713300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*w + 3*y + 132, -8 = -2*y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. What is the second derivative of 0*m + 6*m + t*m**3 - 2*m - 3*m wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 9 + 2*z + 2*z - 2*z + 7*z + 13*z**2. Let v be o(11). Suppose q - v = -3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxpfppxffmpptx. What is prob of picking 1 f and 1 p?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(10)\/(sqrt(20)\/sqrt(4)) - sqrt(12)\/(sqrt(54) + sqrt(6) + sqrt(6)))**2 + 2 + sqrt(1152).\nAnswer: 212\/25 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 11 = 3*c - 2*q, -2*c + 11 = -5*q. Suppose c*r = 19 + 17. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaagaagakaghkk. Give prob of sequence akg.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423102 (base 10) to base 9.\nAnswer: 714343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8150, 8163, 8190, 8237, 8310, 8415, 8558?\n\"Answer: i**3 + i**2 + 3*i + 8145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53017309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 2. Let p be k(1). Suppose p = 2*u + 3*u + 60. Let n = -10 - u. Solve -3*o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 455*v**4 + 476685*v**3 - 477140*v**2.\nAnswer: 5*v**2*(v - 1)*(91*v + 95428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 166*w**2 - 27*w + 27. Calculate the remainder when q(1) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 74\/1 + (2 - 1). Let q = y + -73. Solve -5*b + 7 = -2*p, -3*b + q = -2*p + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152650 at least as big as 152675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5985\/18 - (-15)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*o**5 - o**3 + 13*o**5 - 2469*o**4 + 4325*o + 11*o**5 + o**3 wrt o?\nAnswer: -20*o**3 - 29628*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/(r**(1\/13)\/r)*r)*r)**(-5\/8)*r*r**(-1\/2)*r*r**(-5\/6)*r assuming r is positive.\nAnswer: r**(175\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 24*p. Let k(u) = 156*u**2 - 2875*u. Determine i(k(b)).\nAnswer: 3744*b**2 - 69000*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/9709 + -1446605\/116508. Let c = 75\/29 + -9166\/3219. Calculate the common denominator of d and c.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 - 3*m**2)*(29485 - 29485 + 403*m) + 3*m**3 - 4*m**3 + 3*m**3.\nAnswer: -401*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3517*n + 7*w = -3516*n - 8, 0 = -3*n - w + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 4*h + 7. Let k be t(-5). List the prime factors of (-122)\/(-4) - k\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 - 6c015?\nAnswer: -6c098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*a**2 + 2 - a**3 - 23 + 129*a**2 + 3*a + 25 to m*a**2 + z*a**3 + d*a + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 2*w - 1 = 0, 5*b - w + 15 = 11 + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.880951 minutes in milliseconds?\nAnswer: 292857.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 + 0.14. Which is the biggest value? (a) -4 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/4 - s**3\/3 + 48*s - 2. Let k be r(0). Suppose -274 = -2*n - k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32207817.\nAnswer: 3, 43, 61, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/30024 and 127\/18.\nAnswer: 30024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 5*o**2 - 5*o - 2. Let v be r(6). Suppose -v*t = -25 + 5. Which is the closest to 0.1? (a) -1 (b) t (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1946, -3889, -5830, -7769, -9706, -11641?\nAnswer: -13574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrzunuja. Give prob of sequence rzjn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 249, 245, 241, 237, 233?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46602842 to the nearest integer?\nAnswer: 6827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*g + 28, 0 = -2*g - 2*v - 8 - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(63)*1 + -4*(sqrt(315)\/sqrt(5))**2).\nAnswer: -3*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 4737*t + 14184.\nAnswer: 3*(t + 3)*(t + 1576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/(-10)) - 3\/1. Let l(b) = 5*b**r + 2*b**3 + 0*b + 3*b + 0*b - 5 - b**3. Let z be (12\/8)\/(6\/(-16)). Give l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*g + 2*t + 2*t, -25 = -4*g + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 * 4.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.554301ml to litres.\nAnswer: 0.005554301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 128*o**2 - 17*o + 264. Is 9 a factor of a(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 14*f**2 + 4*f**2.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24. Suppose 2*u + 8 - 30 = i. Let p(k) = -k**2 + 12*k + 1. Calculate the remainder when 34 is divided by p(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 1\/1706, 2\/17, -3888?\nAnswer: -3888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/8 + 7\/2. Solve o + 15 = -c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 820159846 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9766, 1, -2, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 7442.\nAnswer: 200934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225368 (base 10) in base 16?\nAnswer: 37058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-7))\/(67896\/(-178227))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1151729 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*t + 39, 2*i - 4*i = -t + 24. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(34\/136). Solve -4*r - 7 = 2*w + w, -2*w + p = -4*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose q*w - 177 = 268. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:54 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13087?\nAnswer: 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 2\/2109?\nAnswer: 2\/2109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102543 is divided by 2848?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9*1 - (-47 + 45)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371467008 by 6.\nAnswer: -61911168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 12*g**2 + 17*g - 4. What is the remainder when j(11) is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11585)\/1050 - -42) + -31.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 t, and 1 r when four letters picked without replacement from cthcctcucr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15639 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 83. Let c = -35.999978 - z. Round c to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686985, 686958, 686931?\nAnswer: 686904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62232.\nAnswer: 2, 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6020 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*j**3*l*u**2 - 2*j**3*l*u - 14*j**3 - j**2*l*u + 2*j*l*u + 2*l*u**3 wrt u?\nAnswer: 250*j**3*l + 12*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-8))\/(10\/(-16)*48\/(-240))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*g*w**2 - 1363*g*w + 475*g + 474*w**2 - 2*w wrt w?\nAnswer: 446*g + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - (-54 + 38)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**30 assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13636050\/175 + 30\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Solve 4*m + 8 = -f*u + 3*u, -u - 3*m = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o - 36. Determine y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:22 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11244472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2241618.\nAnswer: 2, 3, 47, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153135027.\nAnswer: 3, 17015003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228876251.\nAnswer: 228876251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 47*q**5\/5 + 20*q**2 - 52. Find the second derivative of r(b) wrt b.\nAnswer: 564*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -6 in decreasing order.\nAnswer: 5, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.062418, 5, 2.7, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13151 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3 + sqrt(1872) - sqrt(1872)) + -1)*-3 + 0 + (sqrt(1872) + sqrt(1872) + -1 + sqrt(1872) + sqrt(1872) + 3)*5)**2.\nAnswer: 7680*sqrt(13) + 749056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - a - 1. Let u(v) = -v**3 - 23*v**2 + 17*v - 3. Let w(l) = -3*j(l) - u(l). Calculate the smallest common multiple of 35 and w(9).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174230.\nAnswer: 2, 5, 7, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by ((-39)\/6)\/((-2)\/12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110979786 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21202001 (base 3) to base 14\nAnswer: 20b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose -l*h = -2*d + 8, h = 3*h - 4*d. Let w(n) = n**2 + 8*n - 1. Give w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.87 - 0.13. Let y = k - -9.5. What is the closest to 2\/11 in 1\/4, y, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrzr when four letters picked without replacement from {q: 1, r: 4, t: 1, z: 7}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 504, 4166, 13956, 32892, 63992, 110274, 174756, 260456?\n\"Answer: 503*h**3 + 46*h**2 + 3*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31973711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006947 rounded to 5 decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 2*j - 1. Let l be h(-1). Let t = 3 + l. What is the units digit of 1 - (t + 0 + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2368*d**4 + 4*d**2 + 9787*d?\nAnswer: 28416*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074\/(-358)*(-14)\/12*2*-4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + m**2 - 2*m**2)*(-3 + 4 - 2) + 2 + 2*m + 0 + 0 - m**2 in the form h + f*m + y*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 63 = 51. Let w(u) = -3*u + 1. Give w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 - 1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2529 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k - 2. Let y = -0.77 - -0.47. Which is the third biggest value? (a) -1 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.5 - 89.5. What is the biggest value in -0.1, 1, f, -55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Let d(v) = -265*v - 7. Let c(z) = -d(z) - 2*t(z). Let h(g) = 2. Let u(p) = p + 9. Let l(r) = 9*h(r) - 2*u(r). Give l(c(x)).\nAnswer: -526*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29068*u**2 - 8269*u wrt u?\nAnswer: -58136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 4606.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = -16. Suppose -2*j - 5*g - 5 = -0, 5*j + i*g = 13. Let r = 0 + j. What is the highest common factor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 94878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 - 126 - 86 - 2*k**2 + k**2 + 110.\nAnswer: -k**2 - 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -163*d**5\/4 + 1254489*d**4 - 30134603*d**3\/4 + 30194857*d**2\/2 - 10126293*d + 61558 = 0.\nAnswer: 1\/163, 2, 30779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -7\/6908438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218688 take away 0.1355?\nAnswer: 1218687.8645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + q**2 + 2*q - 1. Let n(a) = 3*a**2 + 4*a. Let u(b) = 2*n(b) - 2*s(b). Give u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 5. Let y(u) = u**2 + 3*u + 4. Let a(o) = -3*x(o) + 4*y(o). Is a(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3520)\/(-616))\/(8\/42). Solve -60 = 18*t + w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14880244.7 from 6.29.\nAnswer: -14880238.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 2*d**3\/9 - 2*d**2 - 14*d\/3 - 186. Find g, given that o(g) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 - 8*b + 3. Let y be z(-9). Let h(p) = -3*p + 7. Let j be h(y). Let t be (-10)\/j*2\/4. What is the third biggest value in -0.1, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**5\/10 + l**4\/12 - l**3\/6 - 8*l + 17. Let n(b) be the first derivative of c(b). Suppose -2*d = 2*d - 4. What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*r*t**2 + r*v**4 - r*v**2 - 200*t**3*v**3 - 32*t**3*v + 2*t**3 + t**2*v - v**4 wrt v.\nAnswer: 24*r*v - 1200*t**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**4*q + 21*f**3*q + 3*f**2*q + 2*q - 771 with respect to f.\nAnswer: -32*f**3*q + 63*f**2*q + 6*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159619 - 79522. What are the prime factors of v?\nAnswer: 3, 26699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662*-15841\nAnswer: -10486742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b. Suppose -z + 3*z = b. Suppose z = 2*f + 3 + 1. Put f, 5, 0 in descending order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 327*p**2. Let f(r) = r. Determine f(o(j)).\nAnswer: 327*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/((-20)\/35)*2860\/(598\/23)?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315210\/30415*(24\/60)\/((-18)\/(-15))?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.741 + -94.741. Sort -0.09, -4, z, 4 in decreasing order.\nAnswer: 4, -0.09, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 25669.\nAnswer: -77007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*l**4 - 6*l + 1067 wrt l?\nAnswer: -172*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87366 or -88815?\nAnswer: -88815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3492*i**4 + 2*i**2 - 1224*i*p**3 + 177757*p**3 - 142*p wrt i?\nAnswer: -13968*i**3 + 4*i - 1224*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960167?\nAnswer: 13, 73859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 11562\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -3, 5, 3, 37, -27 in increasing order.\nAnswer: -27, -18, -5, -3, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-1*sqrt(288) + 4).\nAnswer: -20 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*r + 414 = 161*r + 150*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 1)**2 - (5 + (sqrt(3) + 0)**2).\nAnswer: 22*sqrt(3) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -55. Let z = 31 - s. What is the smallest common multiple of z and 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*t = -5*f - 23, 0 = -4*t - 20. Find the common denominator of (-578)\/153*6\/f and -17\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 - 12*n + 1. Determine v(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -3*u, -3*a = -5*u + a + 11. Suppose -13 - 1 = -2*n - g, 0 = 3*n - 4*g - 43. Let d be 6\/81*n\/3. Is u equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 33 - 24 = -c, -c = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:59 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/52 - -49\/156. Let t(d) be the third derivative of 0 - 1\/12*d**4 + 6*d**2 - b*d**3 + 0*d. Give t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7624, 7556, 7492, 7432?\nAnswer: 7376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 + 12*r + 99. Let c(a) = -a**2 + 2*a. Let z(v) = -6*c(v) + p(v). Differentiate z(y) with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z, -f + 5*z = -0*z - 4. What is the third derivative of 5 - f - 1 + 6*x**5 + 2*x**2 wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21157.\nAnswer: 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 + -2)\/1)\/((-60)\/80). Solve -2*w = 3*l + 8, -w + 3*l = 2*l + g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/14936785 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:41 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**5 assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 45, 71, 119, 195?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896293391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -838 + 608*m**2 + 464*m**2 + 150 - 149*m**2 wrt m.\nAnswer: 1846*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28392\/91)\/(-12))\/(-3*5\/30).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16573.5 + 16574. What is the closest to 3\/10 in k, -3\/5, -4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 596, 600, 600, 596, 588, 576, 560?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a millisecond in microseconds?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000333150866 rounded to 7 dps?\nAnswer: -0.0000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54 (b) -149 (c) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 8, -1\/6, 1\/7, 2\/91?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9190441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*i - 441*i + 2*v = 72, 5*i - v + 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least as big as 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368435 - 128335. Round v to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3736 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.067 - 105.067. Let w = 124.3 + h. What is w rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0742731 kilograms to grams.\nAnswer: 74.2731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + (2 - 7) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:45 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 4. Suppose -5*v - 4 + 59 = 0. What is the remainder when v is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1586529, 1586534, 1586539?\nAnswer: 1586544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 0 + 0)*(-4*r - 5*r + 3*r).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33746891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.21962ug in nanograms?\nAnswer: 83219.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399210761?\nAnswer: 3, 13, 31, 421, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 58. Let l = 115 + z. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.183286ml in litres?\nAnswer: 0.000183286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u - 10. Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 125444239 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19062.912 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 2*u + (-3 + 2 + 2)*(3*u + 2*u - 6*u) + (3 - 1 - 11)*(-4*u + 16*u + 16*u) in the form o*u + y and give o.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12138 is divided by 4045.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243203691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474288 is divided by 244857.\nAnswer: 5146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 0 (c) 0.4 (d) -76 (e) 6\/29 (f) -1\/12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 1, -0.2, 0.4, -7 in ascending order.\nAnswer: -7, -0.2, -2\/33, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, q: 4, r: 8, z: 1}. Give prob of sequence azgr.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1 + sqrt(102))\/sqrt(6) - (sqrt(136)*-2 + sqrt(136))\/sqrt(8))**2 + (-5 + 2*sqrt(1088)*3)**2.\nAnswer: -480*sqrt(17) + 39346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 14 = 11*d. Let l(v) = 2*v + v**2 - 2 - 2*v**2 - 19*v**3 - 5*v. What is the units digit of l(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19129 and 1694.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3806*d - 55. Let x(o) = 141*o - 2. Give -2*c(t) + 55*x(t).\nAnswer: 143*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-8)\/(-2))\/4. Let x be (-4)\/8 + j\/(-2). Solve -2*a + 7*a - 5 = x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90777, 363207, 817397, 1453461, 2271513, 3271667, 4454037?\nAnswer: 5818737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11459 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.35, -13, 3\/14, -1\/38?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4220*l = -4224*l + 61 + 75 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 6*t - 1. Let r be k(-7). Suppose 0 = -4*h + r*h - 28. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - p**2 + p**2 + (-2*p + 4 - 4)*(0*p + 0*p - p**2) - 129*p**2 + 129*p**2 + 2*p**3 - 2*p to the form t*p**2 + x + c*p**3 + l*p and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(144\/(-56))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:55 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6, 4*i - 4*a - 13 - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - b - 4 = -3*b, -b = i - 2. Let j(c) = -c + 1. Let w be j(i). Let p = -19\/65 + -4\/13. Sort -2\/9, p, w in increasing order.\nAnswer: p, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33614612?\nAnswer: 2, 823, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/4 + 10955*j**2 + 438125*j\/4 + 547625\/2 = 0. What is j?\nAnswer: -43810, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2 + 5. Let y(l) = -11*l**2 + 9. Let n(c) = 9*a(c) - 5*y(c). Let p(u) = 410*u**2. Calculate p(n(k)).\nAnswer: 410*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 6. Let o be (-1)\/(1*(-1)\/13). Suppose -3 = -2*w - o. Calculate n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 6. Let r be t(4). Let y(h) = -h**2 + 3*h + 3. Let i be y(3). Let c = -8 + 13. Put i, r, c in increasing order.\nAnswer: r, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 4*k**2 + k + 6. Let i(m) = -7*m**3 - 9*m**2 - m - 13. Give -4*i(g) - 9*n(g).\nAnswer: g**3 - 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 724043737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = m + 18, 5*h - 81*m = -77*m + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5332153.55295 and 8.8?\nAnswer: 5332162.35295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1674 + -8368\/5. Which is the nearest to 1\/3? (a) 0.03 (b) -2\/9 (c) h (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 1, i: 3, v: 2, k: 2, z: 3, r: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -32244949 greater than or equal to -32244950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13114*x**3 - x**2 - x + 8500 with respect to x.\nAnswer: -39342*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(27) - sqrt(297)\/sqrt(99))\/sqrt(9))**2 - (-4 + sqrt(24)\/sqrt(2)*-3)**2.\nAnswer: -320\/3 - 160*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(270)*-4)\/(sqrt(54)\/(sqrt(9) - 3*sqrt(9))) + -4.\nAnswer: -24*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 316 + -655163?\nAnswer: -654544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(432) + 1 + sqrt(432) + -5)**2 - (sqrt(432) - (1 + (2*sqrt(432))**2))) + 3 + -3.\nAnswer: -204*sqrt(3) + 3473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -493818 - 179642. Is i\/44 + (4 - (-46)\/(-11)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14 + 18\/21\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2784\/(-272))*(-2)\/4*29\/(-58).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-86)\/(-128) + 6\/(-12) and -31\/3.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 27*x - 26. Let g(z) = -6*z**2 + 54*z + 51. Let i(h) = 4*g(h) + 9*j(h). Factor i(a).\nAnswer: 3*(a - 10)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 516 = 8*l. Suppose 265*n - 1232 = l*n. What is the highest common divisor of n and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -15*m**2 + 16*m + 11. Let s(r) = -3*r**2 + 3*r + 2. Let w(k) = -2*j(k) + 11*s(k). What is w(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -4\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqm when three letters picked without replacement from qfmqnnqfnnqffqqnn?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3)\/(-9) - (-22)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 12*v + 0*v**3 + 1\/5*v**5 + 191\/2*v**2 + 4 - 7\/6*v**4. What is the derivative of o(x) wrt x?\nAnswer: 12*x**2 - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from eeeiie?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*a - 275 = 0, 4*a = 636*x - 640*x + 320. Solve -16*z + x = 53 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24425 - -233261?\nAnswer: 205533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -506, -5, -159 in increasing order.\nAnswer: -506, -159, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -4. Let v be 0 + 3 + c - 2. Solve -2 = v*p + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 110. Let y(s) = -2*s**3 - 33*s**2 - 16*s - 19. Let r be y(j). Which is greater: -14 or r?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.354981 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(6\/(-29)). Let s = v - -11\/4. What is the closest to 0.1 in -4\/5, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y + 70. Let w be 2 - ((-26)\/y + 0). Let o = -1.74 - -2.04. Which is the third smallest value? (a) -0.5 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:32 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 5, g: 1, d: 2}. Give prob of sequence gwnw.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -2072. Let k = -41317\/20 - r. Calculate the common denominator of (-2)\/3 + 15\/(-2) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0 + (-3 + 2 - 1)*(3*f - 4*f + 3*f) + 5*f + 4*f - 2*f + 2 + 2*f - 2)*(-f + f - f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 8*k + 6. Let x be t(-7). Which is the third biggest value? (a) 2\/7 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6. Let a = -77 - -81. Sort u, -2, a in descending order.\nAnswer: a, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.75598kg in milligrams?\nAnswer: 64755980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 51055?\nAnswer: -51052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-10)\/q*q*q**10*q*q**(-2\/9)*q*q\/q**(-3\/4) assuming q is positive.\nAnswer: q**(163\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*a - 32, 2*i = 7*i - 3*a - 80. Let z = 109 + -61. Calculate the highest common factor of z and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -35*y + 20. Let s be b(10). Let f = s + 690. Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:47 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249628871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1853, 1859, 1877, 1913, 1973, 2063?\nAnswer: 2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*i - 286 - 47. Solve -45 = i*b + 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1126, 1137, 1160, 1201, 1266?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) -12 (c) 5 (d) 2\/11 (e) 0.057 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/(l\/l**(-17))*l)*l*l*l\/l**(2\/41)*l assuming l is positive.\nAnswer: l**(900\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868936728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgxh when four letters picked without replacement from vlxgvxxhdxllxgxhgxgx?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -415\/2 at most -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116\/21 - -61\/6. Calculate the common denominator of 38\/21 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 1 + 4 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/3 - 358443898*k\/3 - 32120507003358601\/3 = 0?\nAnswer: -179221949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -72. Let n be 1 + -2 + 1 + 0. Solve n = -2*j + 3*j - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + 0?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from {m: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379226 is divided by 1453?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 115*t**2 + 45. Let d(l) = 51*l**2 + 22. Let b(p) = 18*d(p) - 8*s(p). Let z(k) = 4*k**2. Give b(z(f)).\nAnswer: -32*f**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*6\/15. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/(-74)*(-4)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q + 36*q = 58650. What is the remainder when 886 is divided by q?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131063766, -262127540, -393191314, -524255088, -655318862?\n\"Answer: -131063774*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 29 - (0 - ((11 - 5) + 99)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15*(0 - -3) - -4. Suppose 5*r + 55 = 5*c, 0 = -3*c - f*c - r + 73. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5386706*t**3 - t**4 + 9*t**4 + 5385345*t**3 + (0 + 0 + 2*t**3)*(-4*t + 2*t + 4*t).\nAnswer: 12*t**4 - 1361*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzznz. Give prob of sequence zzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/308*3)\/((-6)\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-99)\/(-24))\/((-81)\/(-12)). Let z = -35\/72 + x. Which is the nearest to 3? (a) z (b) -2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6326325 divided by 28.\nAnswer: -6326325\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 2674*b**2 + 146368*b + 628320.\nAnswer: (b - 2618)*(b - 60)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 26. Determine u(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8567*v + 8515491. What is s(-994)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3283905 and 90.\nAnswer: 19703430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49265273767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - (-10933)\/(-2340). Let y = b - 93\/10. What is the common denominator of 76\/(-18) + (-4)\/6 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 18 = 0. Let s(w) = 5*w + 2. Let y(i) = -36*i + 2. Let g(x) = -2*x. Let b(n) = 20*g(n) - y(n). Calculate k*b(o) + 5*s(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m. Let q(s) = -729*s + 54. Let z(k) = 56*k - 4. Let t(o) = 4*q(o) + 54*z(o). What is u(t(c))?\nAnswer: -432*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.3 + 42. Let b = -32 + 31. Sort b, -2\/5, y, -4\/3.\nAnswer: -4\/3, b, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194521 (base 11) in base 14?\nAnswer: 7ac4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990537976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 2*z + 3. Let y be w(-2). Let f(g) = 43*g - 52*g - y - 1 + 2. What are the prime factors of f(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times 1.2?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h**2 - 6*h + 1. Suppose -j + 11 - 6 = 0. Let g be m(j). What are the prime factors of g\/(-20) + 237\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -29*a + 28*a + 290, f - 47 = 2*a. Calculate the remainder when 68 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 104*z**2 - 3*z - 68. Let q be b(-52). Calculate the greatest common factor of 363 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3930)\/(-4) - (-7 + 117\/18). Let h = j + 15. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:56 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - (-1)\/3. Suppose 4*o - 22 - 190 = s. Let t = -29 + o. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 70?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m + 69 + 7. What is the second biggest value in -2\/13, -10, 2\/5, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from pypddyuvuypnu.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13876332*0.2\nAnswer: 2775266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 + 74*u - 3*u**3 + 80*u + 84*u - 240*u - 9 + 8 in the form h*u**2 + x + s*u**3 + c*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(12*2\/32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -70615?\nAnswer: -47\/70615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/70)\/(12\/(-10)). Let u be ((-2)\/(1*-4))\/((-488)\/2440). What is the closest to u in 5, i, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*v = 5*v + 11, 5 = 5*v. What is the first derivative of -3 + 0 + 2*q**b + 1 - 1 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = -2*q - 4*p, -10 = 5*p. Suppose -q*f + 18 = -8*f. Let u(l) = -l - 5. Calculate the smallest common multiple of 11 and u(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1799, -3684, -5569, -7454, -9339, -11224?\nAnswer: -13109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p + 7. Let x be (-2 + -1)\/((-30)\/(-40)). Is l(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41775 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8772, 8744, 8740, 8772, 8852?\n\"Answer: 2*v**3 - 42*v + 8812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + d, -4*d + 0*d + 7 = 5*r. Let t = r - -1. Suppose 3*x + b - 15 = -0*b, -5*b + 15 = t. Is x <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5726.93 + -5754. Let b = -26.4373 - d. Let r = b - 0.63. Round r to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 4 - -6 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16852947, 16852949, 16852945, 16852929, 16852895, 16852837, 16852749?\n\"Answer: -r**3 + 3*r**2 + 16852945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100528 and 412?\nAnswer: 100528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 10.4.\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, y: 8, x: 3, i: 1, f: 2}. Give prob of sequence isfs.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 58*b - 276 = 0.\nAnswer: 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092503 to six decimal places.\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 - 2. Suppose 16*m + 468 = 133*m. Let j(v) = -6*v**2 + v - 2. Give m*k(f) - 5*j(f).\nAnswer: 2*f**2 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 - 24*z + 4. Calculate the remainder when 137 is divided by c(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 - (-45 - -28 - 55)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 24105981?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1) + 17*7. Let t = -56 + u. Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**1))*c**0\/c*(c\/(c*c**6))\/(c**(-6)\/c))**(-1\/12) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 10. Let g be b(-7). Let h(w) = -6*w + 2. Calculate h(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4 - 6) + 1. Let c(u) = u**2 + u. Let b(v) = 13*v**2 + 2*v + 3. Let k(o) = b(o) - 6*c(o). What are the prime factors of k(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -699578.29 to the nearest 100.\nAnswer: -699600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572743 take away -3?\nAnswer: 1572746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*u - 18 = -2, 27 = 2*i + 3*u. Differentiate -51 - i*q**3 - 30*q**3 + 13*q**3 - 20*q**3 with respect to q.\nAnswer: -129*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -19 + 17 - (-17 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*t + 58 = 0, -8805*t = -5*n - 8802*t + 88 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-12))\/(((-865)\/10899)\/(78\/21))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -0.3 (b) 5317.2 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -22. Let n(z) = -z + 18. Let h(c) = -1. Let k(g) = u*h(g) + n(g). What is the units digit of k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12168.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 2*t - 2 + 10. Let p be y(-6). Let z be 1524\/(-127)*(1 - (-8)\/(-6)). Solve p + z = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let t(z) = 0*z**i - 7*z**2 - 3 + 2*z**2 + 0*z**3 + z**3. Is t(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 46 = -26 + 2 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.001 and -0.247.\nAnswer: 0.000247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 2)*(1 + 0 - 2) + (1 + 2 + 0)*((-1 + 6 - 2)*(-5 - 3 + 6) - 4 - 1 - 12))*(i - 3*i + 3*i).\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.543252 to the nearest integer.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 6\/10287005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7111.332 microseconds?\nAnswer: 7.111332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0440515 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -6*h + 47. Suppose 5*q = -g + 16 - 2, -g = -4*q + h. Calculate the remainder when 6 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 1. Let u(k) = -3*k**2 - 3. Let b(q) = 5*g(q) - 2*u(q). Let r be b(2). Is 13 a factor of -6*((-70)\/6)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 5, 0, -5, -20 in decreasing order.\nAnswer: 13, 5, 0, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*b + b - 60, -2*b = 5*v + 78. Let c = -8 - v. Suppose 0 = c*w - 4*w - 158. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -77. Suppose -5*t = -b + 6416, 6*b = x*b - 5*t + 12832. Calculate the common denominator of -143\/12 and b\/1344 + 2\/(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1726*p - 29349. Calculate i(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336.2 - -314.737. Let k = 0.163 + a. Let z = 21 + k. What is the closest to 0 in 6, z, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -o - 5*k, -8 = -5*k + k. Let n(l) be the second derivative of 1\/15*l**3 + o + 0*l**2 + 1\/15*l**4 + l + 1\/50*l**5. Let n(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose -1 = v*u - 16. Solve -2*s - 10 = 0, 4*s + u = -j - 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*((-1368)\/315)\/19.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96990.\nAnswer: 2, 3, 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*n + 4, 5*b = 3*n + b - 3. Let s(a) = a**3 + 4*a**2 + 3*a + 5. Let x be s(-4). Let r = n - x. What is the remainder when 14 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*234\/702?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -4. What is the smallest common multiple of 18 and y\/4 - (-315)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2560*((-28)\/5 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1468*m**2 + 127*m + 3. Let s(r) = -r**2 + r. Let c(q) = o(q) - 5*s(q). What is the second derivative of c(n) wrt n?\nAnswer: -2926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 478, 479, 478, 475, 470?\n\"Answer: -p**2 + 4*p + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 471, 919, 1367, 1815, 2263?\n\"Answer: 448*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3082, -3084, -3086, -3088?\n\"Answer: -2*n - 3080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1941861621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/7)\/g)**(2\/57)\/(g*g**(-1)*g*g)**(-3\/14))**(-2\/65))**33 assuming g is positive.\nAnswer: g**(-3366\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/42534 and 13\/12.\nAnswer: 85068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4.5, 0 in ascending order.\nAnswer: -4, -3, 0, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r + r - 13*r - 9*r to c + t*r and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44708.57cm in micrometers?\nAnswer: 447085700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4, 1, 236, -187.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + w - 1 = 0, 4*z + 24 = -4*w + 8. Let x(t) = -t**3 - 32*t**2 - t - 31. Let b be x(-32). Let m(d) = -50*d + b - 30*d + 99*d. What is m(z)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from wwvlllvvvvvl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3016 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164.6 - -165. What is the closest to -1 in p, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 - 3*k**2. Let g(d) = -d**3 - d**2. Give -3*g(z) + u(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 14) to base 13\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 13. Let d be 2\/(-8) + (3\/12 - -2). What is the highest common factor of d and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -340253.12148 + 340263. Let z = a + 1.33368. Let o = 11.2 - z. What is o rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5163 + 32110. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2602483.\nAnswer: 4\/2602483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**4 + 3*s**3 + 132?\nAnswer: -8*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 1288*w**2 - 36076*w\/7 + 36080\/7.\nAnswer: (w - 2)**2*(w + 9020)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(891)) + -5)**2 - -5*(sqrt(891) - -4*2*sqrt(891)))*-3.\nAnswer: -67125 - 3915*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -275\/8. Let y(x) = 2*x - 10. Let n be y(4). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0384633823 rounded to five decimal places?\nAnswer: 0.03846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Let a(s) = -s. Let t(o) = 2*o**3 + 3*o**2 + 3*o + 6. Let f be t(-2). Give f*n(r) + 6*a(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from dloloodolooll.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 2. What is r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 28. Let j be o(-21). Let i be -1 + 8 - (j + -1). Which is the nearest to i? (a) -0.1 (b) -0.2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b + 4. Calculate t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4.4, -4\/5, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 2*h + 374, 3*z = h + 1142. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*d - 1 - 44*d - d**2)*(-18*d - 2 + 13*d + 15*d) to the form b*d**3 + g + s*d**2 + f*d and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4053133\/41624 - -1\/10406. Let k = v + -97. Let r be (-20)\/24*(-2)\/(-5). Which is the smallest value? (a) 0.4 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.247.\nAnswer: -0.1235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 436*i - 436*i - 721*i**4 + (0 - i + 0)*(1 - 1 + i**3).\nAnswer: -722*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(54) - 3*sqrt(54) - sqrt(54))\/sqrt(3))\/((sqrt(63)*1 + sqrt(63))\/sqrt(7)).\nAnswer: -3*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221189.8 rounded to the nearest one thousand?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 294*a + 294*a - 29*a**2.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**2*r*z + 6*q**2*r + q**2*z - 3*q**2 - 3*q*r*z + 9881*q - 311*r wrt r.\nAnswer: q**2*z + 6*q**2 - 3*q*z - 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/21 - -1)*(-56)\/96.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-2)*7\/(20\/((-760)\/(-1729))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1581968, -3163939, -4745910, -6327881, -7909852?\nAnswer: -9491823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) 1 (d) -3\/2 (e) 33 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.1. Which is the second biggest value? (a) x (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87716382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 115 = -7*g - 0*m, 3*m + 2*m - 39 = g - 2 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-10)\/(-35))\/(1716\/(-546))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46444 (base 7) to base 2\nAnswer: 10111001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 24. Let j = 1 - h. Let q(t) = -t + 3. Let b be q(j). Calculate the greatest common factor of b and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 23. Let l(s) = 7*s + 24. What is 3*i(z) - 4*l(z)?\nAnswer: -10*z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*o - 50 = 0, 3*l - o - 8 = o. Let c(j) = -j**3 + 5*j**2 + 4*j - 7. What is c(l)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 32*r**2 + 0.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/23 - -11\/69. Let v = 700 + -700.07. Which is the closest to s? (a) v (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14711986, -29423971, -44135952, -58847929?\n\"Answer: 2*u**2 - 14711991*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -4, 5, -3, -1165?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-6.3587\nAnswer: -1.27174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26592 + 26597. What is the remainder when 126 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, d: 1, s: 1, n: 1}. Give prob of picking 1 y and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*p**5 - 13*p**5 + 58*p**5 + 71*p + 2*p wrt p?\nAnswer: 2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429283?\nAnswer: 429283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5512 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/198*33\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36281391.77 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**2 + 6*q - 12. Let l be r(3). Let x be (-4)\/(-7) - l\/(-28). Solve -x*a = -7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuli when four letters picked without replacement from {u: 5, l: 1, i: 7}?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41568595 - -24311596. Let p = z + 17256998.80399841. Let g = p - -0.196. What is g rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -28*a - 16 - 65 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p + 51*p = 770 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9916 or 9917?\nAnswer: 9917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d3 - -60?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -125, -67, -11, 43, 95, 145?\n\"Answer: -q**2 + 61*q - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 14. Suppose k + 0*l + 4*l = 18, -p*l + 20 = k. Calculate the smallest common multiple of 4*3\/36*30 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 0.06. Which is the closest to h? (a) 0 (b) 5\/4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 10 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/3*72696\/(-26096)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1665 - 1670. Which is the closest to 14? (a) 1\/2 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18840150 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140048 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -3*t**5\/160 + 15*t**4\/32 + 9*t**3\/16 - 405*t**2\/16 - 1858*t - 4. Find r, given that p(r) = 0.\nAnswer: -3, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -915*v + 912*v - 2*j, -5*v - 3*j - 43 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4575*m*z**3 - 2*m*z**2 - 4*m*z + 6*m + 20020*z**3 + 51*z**2 + 938 wrt z?\nAnswer: -27450*m + 120120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 131 = -8*x, 33*x = 4*s + 28*x - 10 - 79 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9*g = -14*g + 100, 50 = -2*w - 3*g. Sort 1, 6, w, 5 in decreasing order.\nAnswer: 6, 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12399589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494 - 337. What is the third derivative of 7*d**2 + 15*d**2 + f*d**6 - 25*d**2 + 5*d**2 + 16*d wrt d?\nAnswer: 18840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 6. Let x be h(-4). Suppose 5*b + 5*i = 65, -96*b + 97*b + 2*i = 2. Solve b = -4*n + 2*j, -x*n = -2*n + 4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/6 - y**2\/2 + y. What is the units digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -y, 4*y - 20592 = -4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vkvkkvqqvka?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31532 - 72305?\nAnswer: -40663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by (315\/140)\/((-3)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 + 12*j**2 - 4*j + 4. Let f(g) = 11*g**3 - 24*g**2 + 7*g - 7. Let b(u) = -4*f(u) - 7*m(u). Find x such that b(x) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1350*b*z**3 + b*z - 3*z**2 - 12 wrt z.\nAnswer: -8100*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 76789283092.\nAnswer: 76789283092.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4624774, 9249538, 13874302, 18499066?\n\"Answer: 4624764*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:36 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g - 95. Let h be m(13). Let u(z) = 24*z + 21*z - 4 - h*z + 28*z. Let o(j) = -2*j - 9. Calculate 3*o(p) - 7*u(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -14. Is 192 - (-1 + 1 + x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59\/15 - -18\/5. Let g(n) = -n**2 - 2*n + 2. Let y be g(2). Let t be ((-8)\/2)\/(-7 - y). What is the second smallest value in t, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -81\/5 (c) 51388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124134289?\nAnswer: 17, 23, 59, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3936 + -5576. Let u = -637 - a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(15*s**3 + 20*s**3 - 8*s**3) - 2*s**3 - 4 + 4 - 2*s - 3*s**3 + 2*s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -111111101011011010000110?\nAnswer: 111111101011011010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 54781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - z**2)*(-13 + 13 + 51*z**2).\nAnswer: 102*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 5 + (2 - -152)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 6. Let z(y) = -4*y - 5. Suppose 0*t = -2*t + 12. What is t*z(s) + 5*d(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 13. Suppose 3*b - 5*b - 2*c + 8 = 0, -4*b - 3*c + 17 = 0. What is the remainder when h is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40.05 (b) -2\/9 (c) -5\/3 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-12*13\/(-12662234)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -927*c - 17010 = -942*c. What is the least common multiple of c and 18?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10435692 and 564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*p + 3*w + 1, -10 = 2*p + 4*w. Let b = 0 + p. Let l = b - -16. Calculate the remainder when l is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 7.2 and 0.215.\nAnswer: 1.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 34. Determine v(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41853, 83791, 125847, 168021?\n\"Answer: 59*i**2 + 41761*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 2:04 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8573849, -8573846, -8573843, -8573840, -8573837, -8573834?\n\"Answer: 3*t - 8573852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 - 10 = 0. Let m**2 + 8*m**2 - 7*m**2 - v*m**2 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9)*-1)\/((-2)\/762). Suppose -3*p - 2*y + 169 = 0, 5*y + 29 = -2*p + s. Let w = p + -21. Calculate the remainder when w is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*m + m + 3093, 2*m = o - 772. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v**3 - 4*v + 4*v - v**2 - 13*v**3.\nAnswer: -124*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -n, -4*a = -4*n - a + 17. Differentiate 1 + s**n - s**2 - 4*s**2 with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 + l**3)*(l - 3*l - 3*l) + l**4 - 3*l**4 - 2*l**4.\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19007 = 347*i + 7903. Calculate the remainder when i is divided by 2\/8 + (-70)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4*s**3\/3 - 17*s**2 + 7*s + 2. Let v be o(9). Let q = -84 + 284. Calculate the highest common factor of v and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 2, c: 5}. What is prob of sequence ctjc?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 1)*(-4*t**2 + 6*t**2 - 4*t**2) + t**2 - 2*t**2 + 0*t**2)*(0 + 0 - t)*(375 - 107 + 145) to o + z*t**2 + l*t**3 + u*t and give l.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1 - 2 + 0*l - 2*l + 3. What is the least common multiple of -2*(-3)\/(-3) + 4 and d(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose u = z, m - 14 = -2*z - z. What is the units digit of (-3)\/3*-17 + m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 3. Let y(r) = -r**3 + r**2 + 1. Suppose 0*a + 1 = -a. Determine a*g(h) - 2*y(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2144406 (base 7) to base 8.\nAnswer: -1002163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (824\/10)\/(6\/270). Let o(c) = 3710*c**2 + 0*c - p*c**2 + 0*c. Let r(f) = 3*f**2 - 15*f. What is o(r(v))?\nAnswer: 18*v**4 - 180*v**3 + 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 914819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 - 6 = 5*o. Let c = o - -29. Does 11 divide 1 - (-2 - -3)*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*((h**(1\/3)*h)\/h)\/h)\/h))**11*h**3*h**(-1\/4) assuming h is positive.\nAnswer: h**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13 = -13 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37898300 to the nearest 100000.\nAnswer: 37900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 11*n + 40. Suppose -n*k + 5*k - 88 = 0. Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - c - 10 = 0, 3*c = -3*h - 2*h - 24. Let y(p) = -p + 2. Let o(i) = -5*i + 9. Calculate h*o(x) + 26*y(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 683.3 times 9\nAnswer: 6149.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 2 + sqrt(637)*-1 - 5*(-1*sqrt(637) - sqrt(637))**2)*5*-3.\nAnswer: 191070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(432) + (sqrt(432) + -1 + sqrt(432) + 4 - sqrt(432)))**2 + (sqrt(36) - (sqrt(36) - (sqrt(5184)*2 - sqrt(5184))))\/sqrt(12) + 3.\nAnswer: 156*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20431, -20426, -20409, -20374, -20315, -20226?\nAnswer: -20101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/12 - 1 - 3368\/(-42). Let v = x - 80. Which is the closest to -0.02? (a) 5 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.044, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17003286 a multiple of 3062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -10\/3, 3 in descending order.\nAnswer: 3, -10\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 2*d**4 - 2*d**2 + 0*d**2 + (0*d + 3*d - 2*d + 4*d - 4*d - d + (3 - 3 - 2)*(-2 - d + 2) + d - 4 + 4)*(-3*d**3 + 15*d**3 + 7*d**3).\nAnswer: 55*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000144 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, b: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332536?\nAnswer: 2, 197, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 + 78*h**2 + 40*h + 5. Let x be p(20). Suppose 0 = -2*i + 4*c + 20, x*c - 4 = -4*i - 16. Let y(q) = -3*q**3 + 3*q - 2. Give y(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (-1*sqrt(1664) - sqrt(1664)) - (sqrt(26) - (-4*sqrt(26) + sqrt(26)))*4)\/(6*sqrt(22)\/(sqrt(11) + (sqrt(11) - sqrt(396)*-1) + sqrt(11))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 - 2*z - 2. Let q be i(4). Let m = q + 16. Factor b + m*b**3 - 7*b**4 + 0*b**2 + 3*b**4 - 4*b**2 + 2*b**5 - b**5.\nAnswer: b*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*h - 5 + 18, -5*d - 7 = -3*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38\/11 + 472\/143. Let j(v) = 0*v - v**2 - 7*v - 10 - 1 + 2*v**2. Let u be j(8). Sort l, 2\/9, u in decreasing order.\nAnswer: 2\/9, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 34*g**4 + 40*g**2 + 5. Let m(q) = 51*q**4 + 60*q**2 + 7. Let t(x) = 7*h(x) - 5*m(x). Find the third derivative of t(z) wrt z.\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19716, 36678, 53630, 70572, 87504, 104426?\nAnswer: 121338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -8. Let m = 8 - t. Let y be 7\/(-4)*16*m. Solve 4*c - y = -8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137034*m**2*n**3 + 2*m**2*n**2 + 9345*m**2*n - 2*n**3 + 522*n wrt n?\nAnswer: -822204*m**2*n + 4*m**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-5))\/(35433\/39370).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -117\/2, -6, -343, 3, 2, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:01 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 4*a - 3. Let z be h(5). Suppose 2 = -p - z. Sort -0.3, p, 2\/11 in decreasing order.\nAnswer: 2\/11, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 3*i**2 + 5*i + 5. Let p be x(-2). Sort 1, p, 5 in decreasing order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + -5 + 4 - (sqrt(162)\/sqrt(9) + sqrt(2)) - (3*(1 + sqrt(2))**2 - (sqrt(2) + -4 + sqrt(2)*1 - sqrt(2)))*1.\nAnswer: -14 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 274*t - 80. Calculate x(55).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/14 + 2 + -4. Suppose s*l - 39 = -3*p, 3*p - 6*p = -3. Calculate the greatest common divisor of l and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y. Suppose 5*h - 11 = 2*j, -2*h - 1 = -0*j + j. Let b be ((-3)\/h)\/(6\/(-10)). Solve -t + y*t = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:27 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-96)\/(-18))\/((-6)\/(-261))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/26)\/((32\/4800*20)\/(4\/18)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x)\/(x*(x*x*x**(4\/9)*x)\/x))\/(x**(1\/16)*x\/(x**(-7)\/x)) assuming x is positive.\nAnswer: x**(-21253\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 1, r: 1, c: 2}. Give prob of picking 1 w and 2 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11243 - 1175 = 0. What are the prime factors of p?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*q*z**3 - 53*c**3*q*z**2 + 2*c**3 - 2*c**2*q*z + 61*c**2*q - c**2*z**3 wrt c?\nAnswer: 18*q*z**3 - 318*q*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 9020797*i**2 + 9020799*i**2 - 2 - 18041613*i**2 + 2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -51 + 8 - 5*n + 21 + 2*n**2 + 20. Let b(z) = z**2 - 4*z - 1. Let i = -3 - -1. What is i*m(o) + 3*b(o)?\nAnswer: -o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905758 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*t - 411, -7*t + 5*k + 330 = -4*t. Calculate the remainder when 3044 is divided by t.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3475414 (base 8) in base 10?\nAnswer: 949004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4235 + -4234.3782. What is q rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.23 (c) -1\/3 (d) 54 (e) -0.5 (f) -23 (g) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81433838 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 30.905. Let l = a + -0.06. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818 is divided by 119.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-16)\/(-4) + (-385)\/440)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y. Suppose 4*h - 164 = -y*h. Suppose -5*q - 5 = 0, -v + 5*q = 3*v - h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3276)\/(-63))\/((-2)\/(-8)). Let k = 203 - z. Put k, 6, 5 in decreasing order.\nAnswer: 6, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4986 take away -43.70827888?\nAnswer: -4942.29172112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6035 + 6035 - 19*o**2 - 2*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from {d: 3, q: 12}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 43\/50, 0 in decreasing order.\nAnswer: 5, 43\/50, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/13 - 704\/(-143). Let g(q) = 9*q**2 - 9*q + 24. What is the tens digit of g(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2668 and 1458.47?\nAnswer: -3891197.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 + 5*x - x - 206 + 102 - 31*x**2 as p*x**2 + w*x + q and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 0, -33, -5 in increasing order.\nAnswer: -33, -12, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/280 and 73\/1260.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8015801069?\nAnswer: 2411, 3324679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 - 3\/2*y**2 - 1\/2*y**3 - 2*y - 1\/12*y**4. Let j be p(-3). Let r(s) = -2*s**2 - 4*s. Determine r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7006.718 milligrams in nanograms?\nAnswer: 7006718000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdcbg. What is prob of sequence dpgb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (462\/22)\/(-42)*(-10)\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227279586?\nAnswer: 2, 13, 23, 227, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a + 190. Let w be v(-15). Suppose n + 2421 = w*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 683746 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1264440 (base 9) to base 15.\nAnswer: da156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.2 - -16. Let b = -1.5 - t. Sort -1, b, 1 in decreasing order.\nAnswer: 1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.728 and -38.8.\nAnswer: 67.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66882930 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 303, 1127, 2737, 5397, 9371, 14923, 22317?\nAnswer: 31817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 13557472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046211844 - 8.1769.\nAnswer: -8.223111844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-579)\/(-8))\/((-90)\/(-1020)))\/((-2)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 + -144. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16817, -16830, -16841, -16850, -16857, -16862?\nAnswer: -16865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 4*j - 5. Let l be h(-4). Sort 17, 1, l in decreasing order.\nAnswer: 17, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1.44139695.\nAnswer: -1.14139695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -277*r**3 + 20*r + 378. Let b(c) = 275*c**3 - 25*c - 378. Let m(y) = -4*b(y) - 5*d(y). What is the first derivative of m(l) wrt l?\nAnswer: 855*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1762*p + 3 = 1763*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3 - 3 - 11*h. Let i(x) be the second derivative of -x**3\/3 + 313*x - 2. Give i(y(a)).\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 11:13 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 2*l + 2. Let k be m(-2). Let f = -1.406 - -4.406. Let x = 93 - 89. What is the nearest to 1\/3 in k, x, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-6) + (-4)\/24. Let k be n\/((-6)\/4)*-1. Find j, given that -2\/7*j**4 + 0 + 2\/7*j**k + 2\/7*j - 2\/7*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 + -7 + -5 - (9 - 2). Sort d, -28, 6 in ascending order.\nAnswer: -28, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**5\/10 - m**3 - m**2\/2 - 8. Let d(p) be the second derivative of y(p). Find the first derivative of d(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7592 - -7591. Which is the biggest value? (a) -2\/7 (b) -3.8 (c) o (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-18))\/(-4) - (6757\/1044 - 8)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t. Let b(c) = 8*c. What is p(b(d))?\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 1920*p + 3841.\nAnswer: -(p - 7682)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.05 + 53. Let q = -0.05 - f. Let h = 22 + -21. Which is the nearest to q? (a) -5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42603563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:22 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 16*h + 15. What is y(10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 44, 75, 106?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210.7 - 211. What is the smallest value in -1\/4, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -154. Let n(h) = -6*h + 187. Let v be n(y). Solve w - v = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*i**3 + 22*b**3*i + 8*b**2 - 21*b*i**4 wrt i.\nAnswer: -12*b**3*i - 252*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121674 and 11858?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-9 + (37 - 9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 85\/(-2) + (-9 - -9). Let h = -41 - f. Calculate the common denominator of h and -13\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 - 32*t**2 + 347*t + 8. Let r be y(22). Let s be 25069629\/630 - (-2)\/10. Let o = r + s. What is the common denominator of -23\/18 and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and -73\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z\/(z\/(z*z\/(z*((z*z\/(z*z**(2\/29)*z))\/z)\/z)))))))*z**(13\/5)\/z)\/(z**(3\/2)\/(z*z**9)) assuming z is positive.\nAnswer: z**(3819\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*j + 4, -7*g = -12*g + 5. Solve -y = -j*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1908 - 2719 - 7560 = -1741*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121002 (base 3) to base 15.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 4*z + 2. Let t be h(-2). Let 4*w - w**3 - 9*w**4 - 3*w**3 + w**t + w**2 + 6*w**4 + 1 = 0. Calculate w.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 203*u - 6908. Calculate k(-43).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = s - 54, -4*s - o = -150 - 105. Suppose -5*m - g + 5*g = -s, -4*m = g - 42. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -1 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46006 = 17*f - 12*f - 3*p, -2*p = f - 9196. Factor 55*g**3 + 5669 + 2331 + 1260*g**2 + g**4 + f*g + g**3 + 5*g**3.\nAnswer: (g + 1)*(g + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from eeyyyey?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 5) to base 3.\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*p + 23 = p, 0 = -3*g + 4*p - 1. Let t(q) = 34*q**2 + 4*q + 8. Let z be t(g). What is z rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42.4107 and 341.6357.\nAnswer: 384.0464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 4 + 2*d + 2*d + d**2. Let w be s(0). What is the remainder when 214\/w + 4\/8 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3301*d**4 - 3*d**3*h + d*h**3 + 44460*h**3 wrt d.\nAnswer: 13204*d**3 - 9*d**2*h + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447251, -894281, -1341313, -1788347, -2235383?\nAnswer: -2682421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 2189336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ftflrcttlcfrut.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -794*c + 2062*c - 928*c + (c + 2 - 2)*(1 + 0 + 1).\nAnswer: 342*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 23 = 4*i, 23*d + 4*i = 20*d - 7. Let o(m) = -12*m**2 - 2*m + 1. Let a(r) = 18*r**2 + 3*r - 2. What is d*a(p) - 8*o(p)?\nAnswer: 6*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-27)\/m*m*(m\/(m\/m**(-14)))\/m*((m*m*m**(-3\/22))\/m)\/(m*m\/m**(-17)*m))**(2\/3) assuming m is positive.\nAnswer: m**(-441\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2 - 11*u + 32. Let w(i) = 3*i**2 - 4*i + 11. Let q(h) = 4*c(h) - 11*w(h). Differentiate q(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 9\/(-7))*65\/195\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 11 = -4*d, -4*t + 45 = -d + 55 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 - h. Suppose -3*j - 163 = -166. Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - -3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.1, 181, -1\/341?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 18, 462 = 28*r - 23*r - 3*l. What is the smallest common multiple of r and 20?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-24)*99 + (-6226)\/187.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 16\/(-72)*-27. Sort -5, b, 546, 2 in increasing order.\nAnswer: -5, 2, b, 546","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12\/(x\/((x*x*x\/x**4)\/x)))**(-40)*(x**(-5)*x*x*x**(-7))\/(x\/(x\/(x*x\/(x*x\/(x*x**1))))*x\/(x*x**8*x*x)) assuming x is positive.\nAnswer: x**(-362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-20))\/(16\/10))\/((-1728)\/768)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313 - 30*s + 30*s + 111 + 630*s**3 + 423 with respect to s.\nAnswer: 1890*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68\/7 - (-4)\/14. Let p = 15 - w. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15803151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 4 + -9 - (54 + (3 - 12)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*d + 14*d - s - 2, 3*s - 10 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 261*f - 3690. Let p be y(15). Solve 11*t + p = 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let n(o) be the third derivative of 13*o**2 + 0*o + 0*o**3 + 1\/6*o**4 + 0. Determine n(i(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -27. Let l(o) = -o**3 - o**2 + 35*o + 44. Calculate the least common multiple of u and l(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from zgzggkfgkgkg?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229260 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -278290 (base 10) to base 8\nAnswer: -1037422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 5*o - 5. Let f be z(4). Let m(y) = y**3 - y**2 + y + 3. Let n be m(0). Let a = 21 + -17. Put f, n, a in increasing order.\nAnswer: f, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46431.71um?\nAnswer: 4.643171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101020012 - 2?\nAnswer: -101020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 898929.3mm in meters?\nAnswer: 898.9293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y = -354340, 0 = 5*y - y - 8. Suppose 0*n = -4*n - o. Let i = -282293 - n. What is i rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*r - r. What are the prime factors of (-30)\/1*(-10)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4834100 rounded to the nearest 10000?\nAnswer: 4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16553*d**4*j - 4*d**4 - 2*d**3*j + 13*d**2*j - 401*d*j + d - 1 wrt d?\nAnswer: 397272*d*j - 96*d - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/3)\/n)\/((n*n*n**(6\/5))\/n))\/(n*(n\/((n*n**(1\/4))\/n))\/n*n)**(-21))**4 assuming n is positive.\nAnswer: n**(1973\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*w = 2*l - 18, -4*w - 1 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236839399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocococicio. What is prob of sequence ico?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/102)\/((-1)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2 - 6 - 21*u - 7.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1130 (b) -2\/3 (c) -2\/5 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -25. Suppose u - 13 = -4*f - 0, -f + z = 3*u. Suppose 11 = u*j + 1. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42400430 - -421?\nAnswer: 42401401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -46. Suppose -265 = -3*r - f*p - 42, 2*r + 4*p = 146. Calculate the remainder when r is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-52)\/39*(-99)\/24. Which is the smallest value? (a) k (b) -21.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**7\/7 + 19*c**6\/120 - 2929*c**5\/30 + 2742*c**2. Find the third derivative of x(v) wrt v.\nAnswer: -720*v + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s - 5\/2*s**2 - s**3 + 0. What is the tens digit of f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-260)\/195*(-2)\/(-8). What is the biggest value in t, -6, -0.9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23959664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 47. Calculate k(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -444 + 284. Let f = -268277 + 268436.901. Let u = f + h. Round u to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(21 - 20)\/(1\/23). What is the second derivative of 28*y**3 + i*y - y + 131*y**3 + 42*y**3 + 2 wrt y?\nAnswer: 1206*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2256)\/(-294032))\/(10\/115).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.36*0.5\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 439, 3.5, -0.02.\nAnswer: -0.5, -0.02, 3.5, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4))**15)**(-22) assuming a is positive.\nAnswer: a**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from xhhhhxxh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(7*s + 92 - 92 - 2 - 2*s + 2 + (-2*s + s - s)*(0 + 0 - 1) + s + s + 0*s)*(-2*s**2 + 6*s**2 - 2*s**2).\nAnswer: -54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 908 + -907.6. Which is the closest to 0? (a) 2 (b) -0.3 (c) 48 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-39)\/(-15). Let t = 40 - 35. Suppose 0 = t*o - 40 - 0. Solve 2*w - 4*n = -o, -z*w + 3*n = 8*n + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 678591*x + 12915. Let s(t) = -736*t - 14. Let u(y) = -4*j(y) - 3690*s(y). Let d(i) = -13*i**2. Give d(u(w)).\nAnswer: -28321488*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 1\/9*c**2 + 0.\nAnswer: -c**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 4*g**2. Let d be -38 + 37 - (4 - 2). Let k(z) = -z**3 - 3*z**2. Give d*k(b) + 2*m(b).\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105bb0 (base 13) to base 15.\nAnswer: 78cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 1299 - 4246. Let q = -299 - d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314866.4 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 109.0000142. Round o to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 - 5 = -b, 2*n - 2*b + 6 = 0. Let s be ((-14)\/(-8))\/((-1)\/(-4)). Let k be 2\/(-5)*(s - -3). Put n, k, -3 in decreasing order.\nAnswer: n, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(19) - ((sqrt(152)*4 - sqrt(152))\/sqrt(8) + sqrt(19)))**2*1)*2.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -36 - -7 - (-10 - -1) - 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11. Let s = 1 + o. Let q = 7842 + -7840. Solve q*d + s*d = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184582 (base 13) to base 9\nAnswer: -1128084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 179.59 and 2.4159.\nAnswer: 182.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*h + 1095 = 1068, -8*p = -4*h - 48 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + 3 + (21 - 0) + -28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664306981.\nAnswer: 61, 27283721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 - -5.21. Suppose 17 = 5*y - 3. Suppose -y = -5*d - 3*n - 44, 4*d - 2*n = -10. Which is the second smallest value? (a) 0 (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.008498 centuries to months.\nAnswer: 2410.1976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**5 - 4*d**4 - 3*d**3 + 5*d - 5. Let g(i) = -i**5 - i**3 + i - 1. Let z(c) = 5*g(c) - m(c). Factor z(f).\nAnswer: -2*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/4 + 384351*u\/2 - 76870.\nAnswer: -(u - 153740)*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -d0 (base 16) in base 8?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -685862 divided by -44?\nAnswer: 342931\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 - x + 1. Suppose -128 - 412 = 5*a. Let v = -107 - a. Let p(c) = -4*c**3 - c + 1. Give v*z(i) - p(i).\nAnswer: 3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14452064, -14452066, -14452068, -14452070?\n\"Answer: -2*u - 14452062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25976159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:56 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3) + 4 + 1. Let s be w*(4 - 0) - 3. Let i be -1 + 0 - (5 + 409\/(-68)). Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2 + 45. Let s(p) be the second derivative of p**4\/4 + 5*p**3\/3 - 6*p + 3. Determine g(s(q)).\nAnswer: 6*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19337929 - 28878.\nAnswer: -19366807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(-34 - -112). Suppose -k*r = -29*r - 20. Factor 34\/3*a**2 + 8\/3*a**3 + 32\/3*a + r.\nAnswer: 2*(a + 1)*(a + 3)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:30 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5, -2*t + 0*y + 2 = -2*y + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19769945 less than 319.4?\nAnswer: 19770264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 4. What is l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 12*w - 5. Suppose -4*r + 5*m + 63 = 0, -4*r + 0*r - 5*m = -33. Let o be b(r). Let u = o + 60. Is u a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1566 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:59 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39445203 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006634903 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 2. Calculate j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = -2*q, -4*q - y - 6 = -6*q. Suppose c + 5*j = j - 8, c = q*j + 16. Suppose c*w = 7*w + 1. Let u(f) = 7*f**2. Determine u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29150 at most as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*m + 220, 4*m = -u - 93 + 321. Suppose -4*k = -198 + 138. What is the remainder when m is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, q: 7}. What is prob of picking 2 r and 1 q?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -30, -47, -80, -135, -218?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 36113.\nAnswer: 325017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 342*v\/11.\nAnswer: 2*v*(v - 171)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 12*f**2 + 13*f + 12. Calculate q(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wslslsslln. What is prob of picking 1 w and 1 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -3 + 3 + 2. Let r(h) = s*h - h + 3*h. Let l(w) = w. Determine r(l(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Which is the nearest to -0.1? (a) x (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16003 divided by -1231\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.1185898 rounded to zero dps?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let z(g) = g + 1. Let q(d) = -1. Let v = -413 - -415. What is k*z(c) + v*q(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 110*m - 1. Let o be p(0). Let j be (6\/(-10) - 1) + 2. What is the biggest value in 2, -0.5, o, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -607, -11, 1, -0.3, -2, 2 in descending order.\nAnswer: 2, 1, 0, -0.3, -2, -11, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:41 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3 + i**2 + i + 2 - 4. Let j(s) = 3*s**2 + 7*s + 8. Let y(x) = 4*c(x) - j(x). Let v be y(5). Solve n + v - 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/18 - 11\/18. Let z be (1 + 5)*(-1)\/2. Which is the third biggest value? (a) z (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s + 35*s + 29*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47482 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1102846 times -0.2\nAnswer: -220569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, 4, -18?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 88 + o**2 - 283\/6*o**3 + 0*o**5 + 0*o**4 + 0*o**6 + 1\/35*o**7 + 0*o. Differentiate u(f) wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-88) - -118*7\/616?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 5*m)*(-m**3 + 4*m**3 - 4*m**3) - 2*m**3 - 2*m**4 + 2*m**3 + (3*m + 4 - 4)*(3*m**3 - 4*m**3 - m**3) + 3*m + 2*m**4 - 3*m.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67.8*-2.\nAnswer: 135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e8 (base 16) to base 4.\nAnswer: 113220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700102 (base 9) to base 13.\nAnswer: 116240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1225*t**4 - 3646*t**2.\nAnswer: -29400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/6*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 + w**2 - w. Let d be q(1). Put -4\/9, -0.2, d, 1 in decreasing order.\nAnswer: d, 1, -0.2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 2. Calculate s(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -484 - -731. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (15 + 36\/8)*(21\/(-35) - -1)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-14) - (1 + (-21920)\/28). Calculate the greatest common divisor of o and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -96*s**3 - 301*s**2 + 34*s. Find the first derivative of d(q) wrt q.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*g**4*v - 390*g**3*v - 191*g*v + 2*g + 17*v + 3 wrt g?\nAnswer: -1224*g**2*v - 2340*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2115 and 101\/45684?\nAnswer: 228420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0549*16\nAnswer: -0.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/(-24) - 2\/(-16). Solve -m*h - 1 = p - 3*p, 3*p + h = 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 + -243. Let r(t) = t**3 + 2*t**2 - 17*t - 4. What is the remainder when 1\/1*(9 - -2) is divided by r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244339823?\nAnswer: 7, 13, 37, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 86*b - 91. Let r be ((-9)\/(-15))\/((-9)\/(-30)). Let o(n) = -29*n + 31. Let c(i) = r*m(i) + 7*o(i). What is the first derivative of c(z) wrt z?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*g - 2 - 25\/2*g**2 - 7\/2*g**4 + 1\/2*g**5 + 19\/2*g**3.\nAnswer: (g - 2)**2*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 239*z - 144. Let r be u(3). Which is smaller: r or 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0757567 rounded to 3 decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -207*y - 1. Let u(s) be the second derivative of -2*s**3\/3 + 608*s. Determine l(u(c)).\nAnswer: 828*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, -4, 62, -10 in increasing order.\nAnswer: -314, -10, -4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*a**3 + 8*a**3 - 15*a**2 + 8*a**3 + 2*a**3 - a**2 + a**2 + (4*a - 3*a + a)*(2*a - 2*a + 2*a**2).\nAnswer: 4*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 261131771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:38 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 0*w - 2*w + (1 + 1 - 1)*(3*w + 3*w - 4*w) + 3*w + w + 0*w + (0 - 3 + 4)*(4*w + 3*w - 6*w) - 4*w + 2*w + 4*w in the form k*w + r and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6\/11 (b) -5 (c) -454\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -56*z - 3. Let i be x(3). Let m = i - -464. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*a + 14, f - 2 = 3*f - 2*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 79.85. Let g = m - -2.85. Let h be 6\/9 - 3\/9. What is the second smallest value in -3, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -174220?\nAnswer: 174222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**4 + y**2 - y. Let f(h) = -22*h**4 - 476*h**3 - 10*h**2 + 26*h - 8. Let a(k) = f(k) + 10*t(k). What is the second derivative of a(d) wrt d?\nAnswer: -24*d**2 - 2856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595430*v - 47918*v - 573289*v.\nAnswer: -1216637*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, s: 1, j: 1, o: 1}. What is prob of sequence jns?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.75 + 25.95. Which is the fourth biggest value? (a) 4 (b) s (c) -1 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 18 + 14. Let b(r) = r**3 - 4*r + 5 - s*r**2 + 0*r + 3*r + 20*r**2. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 1728934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 146*k**5\/5 - 17*k**4\/2 - 9*k - 26. Find the third derivative of q(v) wrt v.\nAnswer: 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 88, 91?\n\"Answer: 3*q + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191849788?\nAnswer: 2, 13, 229, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 17*r - 3*v - 26 = 0, 4*v = -r - 0*r - 2*v - 74 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802355393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 + 353. Solve 0 = i*x - 8*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49012*p + 56562*p + 430350 = 0 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 - -13022011?\nAnswer: 13013131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 486\/378*(-2)\/(-18). Sort -7, -0.01, g, 1\/6, -0.04 in descending order.\nAnswer: 1\/6, g, -0.01, -0.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*v*y**2 - 15419*a**2*v*y + 2*a**2*y**2 + 27*a**2*y + 3*y**2 + 3*y wrt v.\nAnswer: a**2*y**2 - 15419*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y**3 - 2*y**2 - y + 2. Let j(c) = 52*c**3 - 7*c**2 - 4*c + 7. Calculate 2*j(u) - 7*x(u).\nAnswer: -15*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45663 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 35 = -8*i. Let q = -3 - i. Solve 7*u - q*u = 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155006 rounded to four dps?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 3*f**2 + 3*f - 33. What is o(5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m\/m**(2\/3))\/m)\/m)**(-4\/7)\/(m\/m**5*m**(2\/9)))**(6\/5) assuming m is positive.\nAnswer: m**(452\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 9*o**2 - 6*o - 4. Let m be f(8). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7362 + -a4a4?\nAnswer: -16856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 544 and 6.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56780 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -40641182 greater than -40641184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 - 3*x - 1. Let w be k(3). Let n be (-1 - 1\/w) + 1. Let o(c) = 5*c**2 + 2*c - 1. Give o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 34 = 4*v - 2*h, -h = -4. Suppose 5*d - v = 14. Suppose d*f = 2*f + 10. Solve l - 3 = f*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168187100 rounded to the nearest one million?\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 42*b - 210. Give i(2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -0.3, -7434 in decreasing order.\nAnswer: 6, -0.3, -4, -7434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/45*(-15)\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (424 + 418 + 289 - 270)*(931 - 931 + 180*z) in the form o*z + y and give o.\nAnswer: 154980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (7 - 5 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99783, -98159, -95451, -91659, -86783, -80823, -73779?\n\"Answer: 542*d**2 - 2*d - 100323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-118*3\/(-6). Let k = 25 + p. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from zzyyzkdzpz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 82473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c**4 + 0*c**6 + 5 - 3\/7*c**7 - 1\/3*c**3 + 0*c**5 + 0*c + 0*c**2. What is the third derivative of s(a) wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173a2 + 4?\nAnswer: 173a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75 - 71470?\nAnswer: -713a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46174 * -0.5.\nAnswer: 23087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110520619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) 0.34 (d) -7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 233022220?\nAnswer: -233022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 n when four letters picked without replacement from {n: 6, y: 5, w: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + r + 0*r - r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 76*w = 20438. Calculate the remainder when w is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/((c*(c\/c**(4\/5))\/c*c)\/c))*((c*c**(-4\/5))\/c)\/c*(c**(-1\/4))**(2\/83)*((c**1)**(5\/14))**(17\/2) assuming c is positive.\nAnswer: c**(16613\/11620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*r - 3906 = -66*r. Let b = 556 + r. Which is smaller: -0.68 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34155103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 10290*d + 8734. Let n(t) = t. Give q(n(a)).\nAnswer: -2*a**2 - 10290*a + 8734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:47 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/(sqrt(5) + 5*(sqrt(35)\/sqrt(7) + sqrt(5) + sqrt(5))))\/(sqrt(12)\/(sqrt(150) - (sqrt(150) + sqrt(150)*3) - sqrt(150))) + -4)**2.\nAnswer: 10*sqrt(13) + 581\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.003*-34397\nAnswer: 103.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891) + 5 + -3*sqrt(11))*-5.\nAnswer: -30*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 38a0b?\nAnswer: 38a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/24 + l**2\/2 - 2. Let a(h) be the second derivative of x(h). Let n be a(2). Which is greater: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*r - 156, 0*m - 5*r = -5*m + 680. Let p = -189 + 127. Let w = p + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/((-55)\/(-50))*2. Suppose -5*o = 3*i - 28, 2*i - 27 = -6*o + o. Solve r = o*r + v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14605168 + 313*x**3 - 14605168.\nAnswer: 313*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t - 15. Let w be (-152)\/(-57) + 1\/t. Suppose w*l - 6 = -4*k + 14, 3*l = -k + 14. Solve -12 = 4*a, 0 = -2*x + a + k*a + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*f + 1082 + 584 + 419. Solve f*k = 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*l = -24, -3*a + l + 3*l = 72. Let n be (3 + 0)*a\/(-9). Suppose n = 2*y - 16. Calculate the lowest common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1791 = -q, -4*j + 2985 = j - q. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 3\/(-3)) + (-16)\/(-4). Solve 2*d = 7*d + 4*r - 32, 3*d + s*r - 21 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:18 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-24) + (-1)\/2. Find the third derivative of -2*x**3 - 13*x**6 + 3*x**t - 10*x**2 - 2 + 14*x**2 wrt x.\nAnswer: -1560*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 32. Let k = -13 + 18. Solve -k*i = -i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 3. Let v be m(-6). Let c = -5 - v. Suppose c*f + f + 8500 = 0. Round f to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*q + 5*y, -14 - 19 = -3*q + 3*y. Solve 5*f + 2 - q = -2*r, -r - 6 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 21*d - 52\/3*d**3 + 1\/3*d**4 + 0 - 54*d**2. Suppose y(o) = 0. What is o?\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (26 + -12) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -30 + 10 - -20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461361 is divided by 16477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 7*c - 6. Determine s(13).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -121?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25102 by -1.\nAnswer: -25102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2808 = 6183*p - 6129*p for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469822?\nAnswer: 2, 734911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p + 1. What are the prime factors of w(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 8, 18, 28, 38?\n\"Answer: 10*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + 30. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from {u: 15, y: 3}?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 164740.848 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 14) in base 12?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 19*y + 26. Let p be m(-18). Let s(c) = -9 - 6 + p*c + c**2 - 8*c + 7*c. What is the remainder when 7 is divided by s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(((-15)\/(-6))\/((5\/6)\/1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 62\/3 - 1\/3*t**2 - 61\/3*t = 0?\nAnswer: -62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1 + (-3*q + q + 3*q)*(6 - 3 + 22))*(0*q**3 + q**3 + q**3).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 7*y**4 - 12*y**4)*(4*y + 0*y - 2*y)*(1 - 1 - 2).\nAnswer: 68*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 23*c**6\/30 + 11*c**5\/10 - c**3\/6 + 65*c**2\/2 + 694*c. Find the second derivative of u(i) wrt i.\nAnswer: 276*i**2 + 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278622524.\nAnswer: 2, 3, 11, 367, 88321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 61 (c) 4\/81 (d) 5 (e) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(2 + sqrt(1539)))**2 + 2 + ((5 + sqrt(1539) + 0 - sqrt(1539))**2 - (sqrt(1539) - (sqrt(1539) + 0 + sqrt(1539) + sqrt(1539)))*4))*-2.\nAnswer: -27836 - 792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 312. Calculate the lowest common multiple of 24 and p.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80\/13 - 906\/143. Let n = 0.5 - -1.5. What is the third smallest value in j, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/9, -636, -64, -1 in increasing order.\nAnswer: -636, -64, -1, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95656?\nAnswer: 2, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: d26 (base 16) to base 2\nAnswer: 110100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f - 5*f - 2*f)*(5 - 1 + 2 - 3 + 0 + 2 - 1 + 1 + 1 + (2 - 4 + 4)*(2 - 1 + 1) - 1 - 3 + 12)*(0 + 1 + 1)*(5 - 2 - 1) to n + r*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuey when four letters picked without replacement from uyyyyaeaeyuaynyuuu?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m, -2*m + 32 + 0 = -2*b. Let t = b - -113. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let o be ((-28)\/(-21))\/((-224)\/(-504)). Suppose q*c = 4*p + 311, -2*c + o*p = c - 312. What are the prime factors of c?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (-3)\/(-4). Let c be h\/7 - (-171)\/21. What is the remainder when 0 + c + 3 + -4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3760 is divided by 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.968. What is r rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:23 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(60)\/(sqrt(10)*-1))\/(sqrt(3) - (1*sqrt(75) + sqrt(75))))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 47*o + 12 = 0. Let n be (8\/6)\/(o\/6). Suppose n*t = -11 + 11. Round t to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let l(z) = z**2 + 6*z + 6. Let p be l(-6). Let f(j) = 4*j + p*j + 8*j - 4*j. Calculate q(f(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-133)\/(-57))\/(2\/3) + 4. Let 7\/2*v**2 + 1\/2*v**3 + m*v + 9\/2 = 0. What is v?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224440 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8069976.\nAnswer: 2, 3, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -994980000 to the nearest 1000000.\nAnswer: -995000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*t + 8 + 11, 0 = -j - 4*t + 23. Let h be (-2*1)\/(j + -5). What is the derivative of f**4 + 1 + h + 0*f**4 wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:01 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*p + 11, 0 = 2*p - p - 2*r + 8. Let h be 5\/(-20) + p\/(-8). Find the third derivative of -y**2 + 7*y**3 + h*y**2 + 5*y**4 - 7*y**3 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/87)\/((-1)\/6 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.66, 1\/7, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.1346 - -0.1346. Sort -2\/17, -0.6, m in descending order.\nAnswer: -2\/17, -0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 2\/917?\nAnswer: 2\/917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/125*(-12 + 15\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4613854*p**3 + 10*p**2 - 461226*p - 2 wrt p.\nAnswer: 27683124*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (408\/(-238))\/((-2)\/(-7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - v - 38, 2*c + 2*c = -4*v + 72. Solve -11 - c = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/3 - 3*m**2 - 39*m. Let v be i(1). Let n(a) = -3*a - 5 - 7 + 8 + 0*a. What is n(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -43233 + 502. Suppose -4*h = -m - 7995. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322725?\nAnswer: 3, 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 8*u - 5*u - 12. Let q(h) = -2*h**3 - h**2 + 2*h. Let v be q(-2). What is the tens digit of b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, -14.2, -2\/13, -60.\nAnswer: -60, -14.2, -2\/13, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6317*n - 156. Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 904346?\nAnswer: 904346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.38 and -4952.\nAnswer: 1881.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 34542.5 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 39 = 810. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122\/5 - 1596\/65. Suppose -5*t + 35 = -5*f, 12 = -4*f - 3*t - 9. Let l be 4 - (-22)\/f - 0. Which is the smallest value? (a) s (b) l (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23219, -46826, -70433?\n\"Answer: -23607*h + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 33552*r**3 - 24 - 16150*r**3 + 24.\nAnswer: -49702*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + -5 + (-1 - -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(228) + sqrt(114)\/(sqrt(6)\/sqrt(3)))\/(1*(sqrt(33)\/(sqrt(22)\/sqrt(2)) - -1*sqrt(3)*6)).\nAnswer: -5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 8. Let h = -42447\/19408 - 1\/2426. Calculate the common denominator of h and -19*(f\/(-40) + 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -133. Suppose 0*w + 3*w + p - 15 = 0, -4*p - 8 = -c*w. Suppose 0 = 2*i - f - 8, -1 - 16 = -5*i + w*f. Solve 8*t - i*t = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*1*2 + 4*2*sqrt(112) + -4 + (3*(sqrt(112) + 0))**2.\nAnswer: 40*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 13*h**6\/2 + h**5\/5 + 254*h**3\/3 + 205. What is the third derivative of i(l) wrt l?\nAnswer: 2340*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d, 14 = -2*a - 2*d + 94. Let m(u) = -10*u + 30. Calculate the remainder when m(-9) is divided by a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565447.\nAnswer: 163, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -12, -36, -58, -78?\n\"Answer: x**2 - 29*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.5. Let j be (25\/2)\/((15\/10)\/3). Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105458, 105524, 105652, 105848, 106118, 106468?\n\"Answer: x**3 + 25*x**2 - 16*x + 105448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -69. Let k = -334 + 364. Calculate the greatest common factor of k and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 + 10*g + 6. Let v be l(2). Suppose 2*k + 2*k = -3*j + 19, v*j + k = 6. Sort j, -8, 3, -2 in descending order.\nAnswer: 3, j, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-9))\/(820\/(-78063)). Let q = 7\/615 - z. Find the common denominator of q and -40\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(j - 2*j - j) - j + 3*j - j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -14. Let b = w - -15. Solve q = b*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/50 + (11 - (-36413)\/(-3900)) and 91\/116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296 = 7*w + 356. Let y = -233 - w. Solve -y = u - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/30 + 26\/(-130). Let y be 6\/15 - 1\/(-5). What is the nearest to 1 in 0, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.347ml in litres?\nAnswer: 0.212347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640733 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 111439 = v, 20 - 4 = 4*v. Is s a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/115 - 103\/690. Let g = -0.55 - 25.45. Put l, g, 3 in descending order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 8*x - 3 = 0. What are the prime factors of (2\/x)\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 57*i + 10 = 0, 11 = 3*x + 4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1004)\/2008)\/(3\/(-708))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372545449 rounded to the nearest 10000?\nAnswer: 372550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436204 + 636923. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-15))\/(2\/(-5)). Solve 6*a = 3*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n. Let o = 3 + 2. Let r be 12\/9*(-3)\/1. Let l = r + o. Determine k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -10, -20, -32?\n\"Answer: -f**2 - 5*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 962312077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p + 7. Let k be a(-3). Put 3, 2, k in decreasing order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 1. Let m(j) = -j**2 - j - 1. Let l(i) = -2*m(i) + 2*u(i). Let f(z) = -32*z**2. Determine f(l(y)).\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 64?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:47 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 612*l**5 - 2*l**4 + 2*l**3 - 3406*l**2.\nAnswer: 36720*l**2 - 48*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + s**5 - 3*s**5 + 0*s**5 - 3*s**5 + 4*s**5 + (s**4 - 4*s**4 + 4*s**4)*(3*s + 2*s - 3*s) - 3*s**5 + 39 - 39.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39225 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 129598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2372 - -42683\/18. What is the common denominator of 101\/2 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(700) - (sqrt(700) + 1 - sqrt(700))))**2 + (sqrt(175) + -2)**2*-4.\nAnswer: -240*sqrt(7) + 10500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/3 + 8*b**3 - 70*b**2 + 389*b - 1. Find j such that z(j) = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 + -606.7162843343\nAnswer: -605.2162843343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {d: 2, x: 2, y: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - 2*sqrt(95)) + sqrt(95))*-2)\/sqrt(5).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(sqrt(30)\/(sqrt(60)\/(sqrt(40)\/sqrt(4))) - (2*(sqrt(5) - sqrt(20)\/sqrt(4)) + 0 + sqrt(5) + 4)))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/(j\/j**0*j*j) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*a**2 + 145*a**2 + 48*a**2 - 97*a**2 - 42*a**3 + 21*a.\nAnswer: -42*a**3 + 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -6\/7, -8, 8, 5, -27, 260?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/364990 and -103\/42262.\nAnswer: 4014890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntyssaavy. What is prob of sequence an?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 61\/(-3)*(-5 + 8). Let h = -46 - l. Solve -2*m - 4*r - 6 = 0, -h = 5*m + 2*r - 3*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 7*o + 14. Solve -3*y = -w, -y = -5*w - o - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*h**2 - 302*h + 127*h**2 - 2606*h to the form s + g*h + k*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.2, 2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3684)\/11666 - 6\/(-38)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.3 less than 17319?\nAnswer: 17514.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3204\/36*(2 + (-2 - -1)). Let j = v + -68. What is the greatest common factor of 420 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 35049980*f**2. Let x(m) = -2*m**2. Give d(x(a)).\nAnswer: 140199920*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n - 195 = 0. Let t = -24 + n. Suppose -7*m = 18*m. Solve -5*x - t = -m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4\/3 - 1949*j**3\/3 - 7685*j**2\/3 + 184973*j\/3 + 128370 = 0.\nAnswer: -1945, -11, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**6 - 721171*j**5 - 460818*j**2 - 2*j?\nAnswer: 480*j**3 - 43270260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s - 3. Suppose -4*l - 8 = 4*k, 5*l = 4*k - 0*k + 26. Let w be z(k). Let i be -3 + (0\/2 - -25). Calculate the highest common divisor of i and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1588\/(-48))\/(2\/4). Let h = -66 - i. Let v = 2 + -3. Which is the closest to -2\/7? (a) v (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 1. Let w(c) = -4*c - 40. Let h(q) = s(q) + w(q). Calculate h(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 7.5. What is the closest to 2\/5 in 3\/5, h, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/15 - 41*l**4\/24 + 3*l**3\/2 + 18*l**2 - l. Calculate p(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 31236.\nAnswer: 3373488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m + 3 - 126*m**3 - 2 - 4 + 3 + 54*m.\nAnswer: -126*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3101 - 8*y + 1549 + 1554. Let r(t) = 7*t - 2. Calculate -5*d(c) - 6*r(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-20 - 1)*-1. Let j be (d\/(-8))\/((-1)\/4). Suppose 0 = j*y - 284 - 1228. What is the greatest common divisor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*b + 2*b - 10 = 0, 4*a + 4*b + 8 = 0. Let d be 16\/12*(-195)\/a. Let m = d - 1428\/11. Sort -3, m, 0.1 in decreasing order.\nAnswer: m, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154073.\nAnswer: 154073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 83 + (-71 - -22) - -15\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2896981 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3920 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25031293 is divided by 287?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -12314?\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from ocmejox?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 5*q**6\/6 + 20*q**5 + 165*q**4\/2 + 140*q**3\/3 - 335*q**2\/2 - 240*q + 581. Solve c(o) = 0 for o.\nAnswer: -16, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -114\/17, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.51803 millennia in months?\nAnswer: 234216.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 = 51. Suppose p*j - 11*j = 4101. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*w + 32879, 0 = -3*r + 4*w + 26157 - 6428. Calculate the highest common divisor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*n + 54, 0 = -2*p - p - 4*n + 28. Let u = p + -10. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1022.73?\nAnswer: -1018.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 14*g - 13*g**2 + 758 - g**3 - 717 - 12*g - 10*g. Let z(y) = y**3 + 3*y**2 + 4*y. Let o be z(-3). Let m be u(o). Let c(h) = h**2 + 7*h + 8. Give c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38240, 38235, 38226, 38213, 38196?\n\"Answer: -2*z**2 + z + 38241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1596.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 23.\nAnswer: 16\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 23339168.\nAnswer: 116695840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 188 + 173 = -5*k, 2*k = z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 286551 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32297789 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.5 and 0.1?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/33 and -23\/1710.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0.11, 3, -2 in descending order.\nAnswer: 3, 0.11, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, h: 1, w: 4, g: 2}. Give prob of sequence whtt.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 21698\nAnswer: 1084.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 5*n = n. Solve -5*c - 5 = z + 2*z, n = z - 4*c - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 = 6. Suppose 2*a = -y*m + 8, -4*m - 4*a = -0 - 8. What is the second derivative of 12*d + 0*d - m*d + 9*d**4 wrt d?\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 6. Let z(a) = 4*a - 4. Let v(y) = 3*r(y) + 4*z(y). Let w be v(8). Are -16 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*q - 1. Which is smaller: q or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20121 - 300121301?\nAnswer: -300101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14286*g**2 - 28564*g + 16.\nAnswer: -2*(g + 2)*(7143*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -m, 0 = -5*i - 412*m + 418*m + 38 + 28 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/6)\/((-44)\/88)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*j**3 - 48*j**3 + 1480*j**4 + 282*j - 2*j**3 wrt j?\nAnswer: 17760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*((-396)\/252)\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*k - 22 - 2, 5*l + 27 = -4*k. What is the tens digit of l - ((-901)\/34 + (-5)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 2*x - 3. Give i(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 25*w**2 - 4*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.45 + 7.4. What is the closest to 0.2 in 5, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818610 + 0.55927175?\nAnswer: 1818610.55927175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*1*2)\/((1*sqrt(100)*-2 + sqrt(100))\/sqrt(10)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 1244*m - 12671. What is y(10)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 2926551740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71518781\/17 - 4202865. Let g = 4121 - q. Do -1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31102 + -2?\nAnswer: 31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 2*s + 3*s, 0 = -5*v + 5*s. What is the third derivative of -3*g**5 + 2*g**5 + 2*g**5 - 3*g**v wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5 = -9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2464 = w - 9*w. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5490.168ns to milliseconds.\nAnswer: 0.005490168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 113?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -476*g**2 - 3*g - 2. Let y be (1 - -1) + -3 + 4. Suppose -y*q - 2 = 4. Let a be x(q). What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162 and 5.5772?\nAnswer: -903.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/15 + 8\/(-100)*-15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141304 is divided by 2069.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b - 48. Suppose 2*i - 17 = -d, -4*i - 4*d = -24 - b. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -11*m**2 + 1140. Let g(z) = -z + 202. Give p(g(a)).\nAnswer: 22*a - 4444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.46198 and 0.2?\nAnswer: 0.692396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2097, -8393, -18879, -33549, -52397, -75417, -102603?\n\"Answer: u**3 - 2101*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -9706\/5 (c) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17356523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t - 30*t - 2 + 2 + 58*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289.1148 to the nearest ten.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3700105 weeks to seconds.\nAnswer: 223782.3504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 4. Suppose -20 = 4*a, 3*n + 14 = -a + t. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2284\/7 + 328. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + z + 148 = 0, 7385*z - 37 = x + 7338*z for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 7*m + 1. Let y be l(-8). Is 10 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.96 - 1.26. Let i = -5.04 + 0.04. What is the biggest value in -1\/5, d, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.051491.\nAnswer: -0.102982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 4. Let w be l(-5). Let u be -4 - ((-2 - 1) + w). Solve 0*c - 2*c = 3*f + 6, u = -2*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1693*a**2*c**3 - 2*a*c**3 + 116*c**2 wrt a?\nAnswer: -3386*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 + -0.09. Let s = 0.14 - 0.2. Sort s, k, -3.\nAnswer: -3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxuuugu. Give prob of sequence jju.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4 (c) 3\/5 (d) 3 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 2*c**3\/3 + 3*c. Let l(d) = -11*d**2 + 5. Let q(a) = 7*a**2 - 3. Let p(f) = 3*l(f) + 5*q(f). Determine y(p(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 714.4 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 7*k**6\/40 - 13*k**5\/10 + 13*k**4\/8 + 3*k**3 + 4*k**2 + 8*k. Factor y(u).\nAnswer: 3*(u - 3)*(u - 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6475 and 4873085?\nAnswer: 24365425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.69. Let r = 0.01 + b. Let p = -2.772 - -2.272. What is the second biggest value in r, p, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 13 - 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/9)\/(193\/579)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5930*y - 11343. Does 5 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5222\/3 + -3 + (-20)\/(-6). Let i = -13 + 14. Suppose f - j = w, -w - 3 + i = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/(7\/(-3) + 2). Suppose b*i + 0*i = -0*i. Solve i + 2 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46248 and 6519?\nAnswer: 2451144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y - 2. Let o(g) = 2*g**3 + g**2 + 6*g + 2. Let t = 4 + 0. Let j(p) = t*u(p) + 3*o(p). What is the remainder when 43 is divided by j(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/328 and 45\/64.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/4 + 153*x**2\/2 - 2025*x + 16038 = 0.\nAnswer: 18, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -15, 27, 107, 237?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 36*f - 206. Calculate r(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9406610 and 6290.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2 and 9\/309608.\nAnswer: 309608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + -118 + 182 + -8 + (4 - 5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6))\/(1\/2)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**6\/33 - 8*d**5\/55 + 2*d**4\/11 + 68*d**3\/33 + 45*d**2\/11 + 36*d\/11 - 853. Let x(c) = 0. Calculate c.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 906450*z - 68470966875.\nAnswer: -3*(z + 151075)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.124928 or 39.8?\nAnswer: 0.124928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2052, -2046, -2040?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11359570*u. Let k(c) = -3*c**2. Calculate h(k(q)).\nAnswer: -34078710*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94 - -25?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(91)*-3*1)\/sqrt(7))**2.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**3 + 0*j**2 - 14*j**3 - j**2.\nAnswer: 26*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 + 0 = 0. What is the remainder when 11 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171911085 a multiple of 905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*s - 6 + (2*s + 2*s - 3*s)*(3 - 6 + 2))*(59 + 8 + 10).\nAnswer: -231*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 - 530 - 16*q**3 + 530.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxxxxxnnx. What is prob of picking 3 x?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*((sqrt(60)*-1)\/sqrt(6) - (2*sqrt(90) + sqrt(90)))\/((sqrt(30) + (1*sqrt(270))\/sqrt(9) + sqrt(30))\/sqrt(6)*3))**2.\nAnswer: -40*sqrt(2) + 881\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 divided by 958535?\nAnswer: 528\/958535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289465900 rounded to the nearest 1000000?\nAnswer: 1289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 56 = -19*z. Let i = -11 + 17. Let v = 10 - i. Sort -4, z, v.\nAnswer: -4, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -763*l + 1530. Is o(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2 - 42*n + 72 = 0.\nAnswer: -12, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 66 = -0*l - 5*s, 5*l - 132 = 4*s. What is the smallest common multiple of l and 4\/14 - (-680)\/119?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/301, -336 in decreasing order.\nAnswer: 4, -1\/301, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133 and 0.15?\nAnswer: 19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 4*w, 2*x + 3 = 5*w + 5*x. Suppose w = -n - 5, 8*h - n = 5*h + 80. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - 27\/(-6). Suppose -3 = b*p - 23. Let q be (p\/3)\/(2\/6). Solve -k - 20 = -5*k - q*c, 5 = k + 2*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 - -110. What is the nearest to 1\/4 in 0.4, v, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6 - -2)*3. Suppose -5*n - 3*b + c = 0, 5*n - 7*b + 3*b = -21. Let p(s) = -27*s - 1. Calculate the remainder when p(n) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/165*3 - ((-15256)\/2112 - -7)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12323 + 44140?\nAnswer: 112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343152?\nAnswer: 2, 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*u + 1091 = 0, 3080 = 4*l + 2*u - 1228. Let h(c) = 1092 + 648240*c - l - 154911*c. Let w be h(3). Round w to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6602*-8.\nAnswer: 37.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*(-72)\/(-30))\/(14\/105)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65801 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1659344*c**2 - 1659091*c**2 + 3318432*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 - 7125*a + 14238 = 0. What is a?\nAnswer: 2, 2373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13861188 by 271788.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -73 (b) 2\/23 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 1964*n - 27360. Determine x(-14).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 80, 6 in descending order.\nAnswer: 80, 6, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3165, -3662, -4495, -5664?\nAnswer: -7169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -154*w**3 + w**2 + 4*w + 2. Let v be m(-1). What is the derivative of 54 - v + 60*c - 57 wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 3. Let t be -3 - (2 + 22*(-2)\/4). Let p(n) = t*n - 2*n - d*n - 5. Calculate p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1111335 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6204645.605 - -0.3.\nAnswer: 6204645.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 14*o - 117. Suppose -n + 16 = 3*w, 2*n + o = -2*w + 26. What is the greatest common factor of w and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -25784 - -25839. What is the remainder when 818 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 726602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667334364 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-21) - 6\/(-14). Solve v*q = -0*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 2396*j**2 + 440320*j - 22806528 = 0.\nAnswer: 87, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 - (-7)\/(-28).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*c = -247*c - 9. Suppose 2*o - 91 = 175. Sort o, -5, c.\nAnswer: -5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:16 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.22686 - 42.6. Let x = j - -0.4234. Let f = -0.049 + x. What is f rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1190 and 6468126.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let o = d + -2. Let r(b) = -2*b + 1. Let c be r(-1). What is the closest to 0 in o, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 522 = -871. Let h = 58 - p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7766 + -7757. Let u = 18 - 11. What is the remainder when p is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/4, -1, -6 in descending order.\nAnswer: 3\/4, -2\/5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.41, 2, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*a - 2*s, 269*s - 268*s - 9 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2, 13, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*n = -r - 4, 0 = -r - 5*n + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*a + 3*a. Suppose -5*i = -20, -2*i = 2*y - a - 5. Is 33 + (y - (-2)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - 16 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.035 - 0.535. Which is the closest to -0.03? (a) -5 (b) 3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*t**3 + 265*b**3*t**2 + 2501*t**3 wrt b?\nAnswer: 12*b**2*t**3 + 795*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -58. Let s = 20 - c. Let w(n) = n**2 - n + 8. What is the units digit of w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(-81)\/(-4104) - 1313\/(-4056).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2*i**2 - i. Let h(o) = o + 9. Let j be 560\/(-50) - (-4)\/(-5). Let l be 7\/3 - (-4)\/j. Determine l*h(d) - 5*z(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -63*t. Let j(m) = 18*m**2. Determine n(j(c)).\nAnswer: -1134*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 1083848*m**2 - 146839727034*m - 293683789476.\nAnswer: -2*(m - 270963)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-6)*72\/(-16). What is the least common multiple of (-3)\/p*-4*10\/(-4) and (-9 - -9) + (-51)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:55 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/4 + 22*g**3\/3 + 193*g**2 + 2*g. Calculate x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 250 - 418 = 83 - 58 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 1*1*-2. Suppose 4*z - 12 = 5*w + 27, -3*z = w - 15. Suppose -z = 2*y - x. Do -1\/31 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -y + 5*c, 2*c + 472 = -6*y + 530 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-2))\/(((-260)\/(-728))\/((-10)\/(-21))). Let y(m) = -3*m**2 + 35*m - 47. What is y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 0, -12 = -5*d + 7*d + 4*t. Put 319, d, -5, 2 in ascending order.\nAnswer: -5, d, 2, 319","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {q: 1, z: 3, o: 5, j: 1, b: 1, y: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*q**3 + 89*f**2*q + 2*f*q**3 - 22*f*q + 1 wrt f.\nAnswer: 2*q**3 + 178*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 20 + 17 - 48 - 1264*h)*(2 + 2 - 2).\nAnswer: -2528*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12893.\nAnswer: 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooqojw. Give prob of sequence jqoq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4599795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 11*c - 89. Does 11 divide i(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 7*n**5\/60 + 31*n**4\/12 - 10*n**3\/3 - 28*n**2 + 2. Let l be h(14). Round l to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 185\/121296 and -11\/879396.\nAnswer: 3517584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 80*l - 38. Determine j(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 152, 248, 358, 482?\n\"Answer: 7*p**2 + 61*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g = -231547 + 230187 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.4. Let b = o - -0.2. Let k = -0.3 - b. Round k to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n*n*n**(14\/3)*n))**(-3\/8)\/(n**(1\/12)\/n**14) assuming n is positive.\nAnswer: n**(197\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/53822 and -38.\nAnswer: 53822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4152, 8452, 12754, 17058, 21364?\nAnswer: 25672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*m + 48, -423*x + 3*m + 72 = -418*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -713*f**2 - 253*f + 4501427.\nAnswer: -1426*f - 253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 3422?\nAnswer: 20532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83476246 minus 0.1?\nAnswer: 83476245.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(40) + sqrt(400)\/(sqrt(10) + sqrt(160)) - 1*sqrt(5760))\/(-3*(sqrt(392)*-2 - sqrt(392))).\nAnswer: -7*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1882354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1 + 42\/36 - 161\/210)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552500 - 320?\nAnswer: 552140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/112 (b) 2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -4 + sqrt(304)*-2)**2.\nAnswer: 192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**3 + 0*b**3 - 2*b**3 + 0*b**3 + 2. Determine t(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*g = -1197*g + 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**6\/255 + v**5\/170 - 5*v. Suppose s(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 43, 5 in decreasing order.\nAnswer: 43, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*i - 96, -64 = -0*a - 2*a - 4*i. Let w = -17 - 20. Let y = a + w. Sort y, -2, -3 in descending order.\nAnswer: -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 7*l + 10. Let o(x) = -x**2 - 2*x + 3. Let i = -4 - -3. Let y be i\/(3 - (-20)\/(-7)). What is y*o(a) + 2*q(a)?\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24822 by -2758.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2) + 1)*5.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -903 by -43.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1 - 0) - (-22 - -25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(6\/(-3) - 0). Suppose 2*k = -5*p + 58996, 0*p = -4*p - v*k + 47190. What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -429973.4043 and 0.3189.\nAnswer: -429973.0854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 2, g: 8, i: 6}. Give prob of sequence gii.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 26*o + 7*o = -912 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114700, -229331, -343962, -458593, -573224, -687855?\nAnswer: -802486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1587.1 in -2, 0.2, -4, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1083 - -576. Let r = -250 - t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*-2*(sqrt(153)*1*-2 + sqrt(153)))\/(-1*sqrt(225)*-2*-2).\nAnswer: -sqrt(17)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33538.2 + -38\nAnswer: -33576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*h + 3 = 0, 8*g - 2*h = 11*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -40.99496. What is o rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 62, 4, 160, -4, -2 in decreasing order.\nAnswer: 160, 62, 4, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696631 to the power of 1\/2, to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 15 = -5*n. Suppose 2*s + 27 = -n*i, 0 = 4*i - 2*s + 1 + 35. Let d(r) = -24*r - 7. What is the tens digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2390, -4547, -6702, -8855?\n\"Answer: z**2 - 2160*z - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - d + d = 3*d - 6*d - 64, 2*u - 634 = 35*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -43*v. Let t(g) be the third derivative of 0*g**3 + 0*g**4 + 0 + 1\/30*g**5 + 12*g**2 + 0*g. Determine h(t(p)).\nAnswer: -86*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.04 (b) -0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.137642\nAnswer: 0.137642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-1)*j)\/(j\/(j\/j**0)))\/(((j\/(j\/(j\/(j**5\/j))))\/j)\/j*j*j*j**0) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - n**2 - 7*n**2)*(0 + 0 + 2*n**3).\nAnswer: -26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342449 to the power of 1\/2, to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3192)\/912*(-10)\/245?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17398.1 + -17398. Which is the closest to o? (a) -44 (b) -2\/23 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11672291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 5. Suppose -f + 2 + o = -4*k, 4*f = k - 2. Let d = 0.08 - -0.22. Which is the nearest to f? (a) d (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3212946.\nAnswer: 2, 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/5 + 14454*t**2 + 867474*t\/5 + 1951938\/5 = 0?\nAnswer: -9, -3, 36147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 219 = 7*w. Let v = w - -81. Suppose -s = -v*s + 21. Solve -5 = 2*n - s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178 (base 9) to base 14.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15988, -31870, -47738, -63592?\nAnswer: -79432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11513307.867869 - -11513339. Let r = -29.49206 + p. Let k = r + -1.64. Round k to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8 + 44 + 2586*r**2 - 4 - 2588*r**2. Let f(m) = m**2 - 6. Let o(l) = -3*l**2 + 17. Let y(a) = 17*f(a) + 6*o(a). Calculate z(y(p)).\nAnswer: -2*p**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/45 + l**4\/18 - 5*l**2. Determine m so that q(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 243.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -53 (b) 2\/9 (c) 71\/3 (d) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*(-18)\/24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*o*q**2 - 173*c**2*o*q - 5*c*o - o*q**2 - 13*q**2 wrt c.\nAnswer: -4*o*q**2 - 346*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1 + -4 - sqrt(1872))**2 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - -3) + 0 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/24*32\/72*-42?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(189)*4)\/((sqrt(162)*5)\/sqrt(6)))**2.\nAnswer: 448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - h - 8*h**2 + h in the form n*h + m*h**2 + b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1 - (1 - -2)). What is the nearest to 0 in 1\/4, y, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 27*b**3 + 9135*b**2 + 224175*b.\nAnswer: -3*b*(b - 61)*(b + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = o + 164 - 35, -4*a = 3*o - 233. Let n = a + -36. Calculate the greatest common divisor of 286 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3958704 divided by 9.\nAnswer: -439856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (302 + -1 + -3). Which is smaller: x or -291?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 19*s**2 - 16*s - 4. Calculate the remainder when o(18) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.12 + -15.71. Let b = j - -384.59. Let f = 365.9 - b. Round f to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31 - (11 + 6 + -12). Let d = -84 + 318. What is the greatest common factor of d and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**3 - 3*y**2 + 2*y + 2. Let c(i) = i**3 - i**2 + i - 1. Determine -3*c(o) + q(o).\nAnswer: -10*o**3 - o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + 2*(sqrt(68) + sqrt(68) + 0) + 0 + -1 + sqrt(68))*-6)**2.\nAnswer: -3600*sqrt(17) + 62100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.6. Let z = 83\/7 + -685\/56. Put -4, l, z in increasing order.\nAnswer: -4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -984.294 to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17297, 34600, 51907, 69218?\nAnswer: 86533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 42 = 3*b, 5*b + 38 = 2*c - 5*c. Let r be 2\/(c\/(-45)*3). Suppose -75 = -r*h + 95. What is the common denominator of h and -34\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258.3 + -223. Let n = f - 34.3. Which is the smallest value? (a) -0.06 (b) 2 (c) n (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 293*c**4\/12 + c**3\/6 + c**2\/2 - 2*c. Suppose 16 = -3*p + 5*b + 3, 0 = 4*p - 4*b + 12. Is y(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.205 - 98.205. Let n = b + 97.91. Sort -5, n, -1 in decreasing order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -t + 15*x - 12*x, 2*x = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3253*c**5 - c**2 + 227222*c wrt c?\nAnswer: 65060*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177991400?\nAnswer: 2, 5, 15889957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 7. Let j be w(-3). Let b(z) = -z**2 + 7*z - 7. Give b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8375 (b) -0.3 (c) -2\/9 (d) -0.2 (e) 2 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0124*107\nAnswer: -1.3268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.2, 0.4, 0, 4, -2\/69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255212000 + 1?\nAnswer: 255212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411431211 - 110?\nAnswer: -411431321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 46*k - 117 = -53*k, 4*w - 3*k = -0*w + 156 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-36)*(-15)\/75)\/(9\/(-18)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-6 + 6 - 17*n) - 3*n + 4*n + 2*n.\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.21 - 0.21. Let y = -0.08 - -5.08. Let q = y - x. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/26 + (-335)\/65. Sort -3, j, -2, -1.\nAnswer: j, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1656 by -37.\nAnswer: -1656\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 20. Let u(m) be the second derivative of -m**3\/6 + m**2\/2 + m. What is the remainder when u(-16) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 24?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -60 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**7\/280 + w**4\/6 - w**3\/2 - 2*w. Let f(b) be the second derivative of d(b). What is the derivative of f(y) wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13550, 54529, 122828, 218447, 341386, 491645?\nAnswer: 669224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**2 + 931*u + 42. Let b(h) = 2*h**2 + h + 7. Calculate 6*b(l) - y(l).\nAnswer: -3*l**2 - 925*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 600*c + 18000.\nAnswer: 5*(c - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + -12?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 1, m: 1, q: 1, r: 1, o: 2}. What is prob of sequence ort?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/21054 and 80\/672771?\nAnswer: 14800962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, v: 1, k: 1, w: 2, e: 1}. What is prob of sequence we?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + 349*a - 385. Let m be h(57). Solve -m*j + 7*j = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*g - 8 = 0, 0 = -3*v - 2*g - 0 + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2072 (base 14) to base 16\nAnswer: 15d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 57 = 408. Suppose 5*c + i = 5*d - 4*d, -2*c = -d + 450. What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/645)\/(5\/(-100)*4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {h: 3, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 27*d - 38. Let w be t(-25). Let v be ((-1)\/w)\/((-19)\/114). What is the closest to 2\/5 in -5, 7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174531*b**2 + 87265*b**2 + 87268*b**2 + 649*b.\nAnswer: 2*b**2 + 649*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/135 - 4*z**5\/45 - z**4\/54 + 8*z**3\/27 + 5*z - 5. Factor o(t).\nAnswer: 2*t*(t - 8)*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + 25, 2*m = -2*i - 156. Let r = 220\/3 + i. Let d be 14\/49 - 2\/7. Sort -3\/8, r, -0.5, d in decreasing order.\nAnswer: r, d, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 84*w + 19*w - 515. Suppose 0 = -0*t + 3*t - 24. Sort 2, t, -2, w in decreasing order.\nAnswer: t, w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1103.\nAnswer: 441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97363, 95196, 93029, 90862, 88695, 86528?\n\"Answer: -2167*v + 99530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349*r - 29 - 137*r - 420*r + 29)*(r**2 + 0*r**2 + r**2) to y + k*r**3 + b*r**2 + h*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 3, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 2, y: 2}. Give prob of sequence zy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -4 (c) 2 (d) 0.2 (e) -0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/12 + 35\/15. Suppose 2*v - 7*v - q*p = -89, 0 = -5*v + 2*p + 83. Solve 4*k = -u - v - 6, -3*k + 4*u - 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2 - 55 = -3*t, -1006*o - 6*t + 92 = -1011*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -358*v - 116714. Give g(-326).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:36 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 10*y**2 - 9*y + 4. Let q be i(9). Let a = 71 - q. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37052 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: Express (-30*i - 7 + 66*i - 33*i)*(5*i + 0*i - 3*i) as y*i + o*i**2 + q and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w**4\/2 - 1407*w**3 - 131391*w**2\/2 + 28482*w + 92778 = 0.\nAnswer: -94, -1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2532?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*d = 2768, -22*s - 2*d + 2764 = -20*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -286, -1045, -2232, -3793, -5674, -7821?\n\"Answer: 9*d**3 - 268*d**2 - 18*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:27 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:30 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -7. Let b be 2\/(-12)*a - (-52)\/(-39). Let o(n) = 6*n**2 - 3*n - 2. Is 7 a factor of o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5880 + 5886. Let l = -1.3 - -0.8. What is the closest to -0.1 in 1, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 545265396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lssh when four letters picked without replacement from lvscvlvllhlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 + 1574?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*390\/312*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -574.905835 rounded to 1 dp?\nAnswer: -574.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 + 3*l - 7. What is d(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 25, -3*z = 2*z - x + 5. Let m = -6.082 - -0.082. Which is the third smallest value? (a) m (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 2 + 2)*(-1094*b**2 + 2205*b**2 + 2*b**3 + 1 - 1070*b**2) to z*b**4 + d*b**2 + p*b + x*b**3 + k and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 equal to -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6519 and 9102.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 5\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) -1\/8 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 7254, 1, 0.1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:38 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 27 = -1600*w + 1605*w, 2*g - 3*w = -24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1 (c) 32 (d) -0.1044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 14*t + 4. Let o be ((-3)\/(-6) - 1)\/t*40. Let a be (-3)\/1*o\/30. Solve 0 = -4*q - 14 + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/15928 and 131\/11946?\nAnswer: 47784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - -28594. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -503*f**2*r**2*s - f*r*s - 5*f - 11*r**2 + 6*r*s wrt f?\nAnswer: -1006*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 15*n - 26.\nAnswer: -(n - 13)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222712 and 27634?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 4*m + 72. Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.1307ng to milligrams.\nAnswer: 0.0005591307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/60 - 23*j**5\/60 - 5*j**4\/12 - 8*j**3\/3 - 12*j**2. Let l be y(12). Solve -6*r + 4*r = -l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Let g(o) = -5 + 3*o**2 + p + 3. Let m(r) = -2*r**2. Give m(g(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636636 = -24853*m + 20030*m for m.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**2*u + 3*h**2 - 3*h*u + 77*h - 123204*u wrt h.\nAnswer: 8*h*u + 6*h - 3*u + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 407005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 - 2*c + 1. Let s be l(2). Suppose 7*m = 6*m + 5. Suppose 0 = -o + s, -m*o + 35 = 5*n - 2*o. Solve n*t = -0*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592266316 divided by 197.\nAnswer: 3006428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -25407661.\nAnswer: -25407661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7917 - 7599 = -1293*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22822884\/251 - 90928. Let x = y - 11199\/6275. Calculate the common denominator of x and 61\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199355 or 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5317 - 6*s**2 + s**2 + 5317.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r. Let w be n(3). Suppose w = -l - 0 + 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2 + (0*h - 4*h + 2*h)*(-4 + 4 + 2*h) + 4*h**2 - 3*h**2 + 0*h**2)*(3982 - 3982 + 110*h).\nAnswer: -220*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 124*b + 10769. Determine t(-86).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1214*x**2 + 11*x + 13. Let r be l(-1). Calculate the greatest common divisor of 456 and r.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(55)\/(sqrt(10)\/sqrt(2)) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*o**2 + (-7*o + o - o)*(-4*o + 0*o + o).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419\/(-1)*1*(-11)\/33?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(1331) + 4)*4 - (1 + (sqrt(1331)*-1 - sqrt(1331)) + -5)**2*6.\nAnswer: -32032 - 1144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18839*x**3 - x**2 - 2*x + 98 wrt x.\nAnswer: 113034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.026*5\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39862\/19 - (-2)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 267459*z. Let h(x) = -4*x**2. Give h(m(u)).\nAnswer: -286137266724*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 7*x - 6. Let h be f(-20). Let u = h + 909. Is u a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(2736\/(-17784))*4\/(-39).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 1001010011010001?\nAnswer: -1001010010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w + 36*w - 19*w**2 - 71*w as r*w + z*w**2 + c and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 3 + -54 + (-936 - -946).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 6. Let r = 1 - -5. Let w be r\/2 + 1*-8. Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*s - 40*s. Solve 5*v - 2*g - 4 = s, 3*g - 2 = 4*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 20. Let b = -1788 - -7153\/4. Put -0.3, c, -0.5, b in increasing order.\nAnswer: -0.5, -0.3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 10 = -4*y + 3*u, y + 17 = 4*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*a - 32. Calculate the remainder when (-30)\/9*(-1)\/(a\/36) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -28630, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2090, 2139, 2186, 2231, 2274?\n\"Answer: -a**2 + 52*a + 2039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*-18 - -3. Let i be (-3)\/(-5) + (4 - (-7512)\/y). Suppose -4*v + 2*t + 62 = -208, 0 = 4*v - 5*t - i. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c43a7 (base 13) in base 12?\nAnswer: a45016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -13.54.\nAnswer: -0.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 32 + 8 - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:45 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190642.61 rounded to the nearest ten thousand?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 206 in decreasing order.\nAnswer: 206, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 8*l + 13. Let u be 18*((-20)\/8)\/5. Let x be z(u). Sort 5, -1, x in descending order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 93. Let u(f) = -9*f**2. Give t(u(y)).\nAnswer: -9*y**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1937411*o - 1937391*o = 120 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166398600 divided by 4.\nAnswer: -41599650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 14*a - 15*a. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - q**2\/2 + 3*q + 1. Let l be x(0). What is the units digit of (-5 - -2)\/((-1)\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81, -80, -79, -78, -77?\n\"Answer: g - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 4*j, 8*j + 12 = 4*b + 10*j. What is the closest to -1 in 1\/9, b, 0.04, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 34 = 2*h, 11 + 55 = 4*h - 5*m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 + 47*l + 336. Let z be q(21). Let t(k) = k**3 + 4*k**2 + 3*k - 2. What is t(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*q + 132*q = 5. Let s(w) = -w**2 + 2*w - 4. Let d(t) be the third derivative of 0 - t**2 + 1\/6*t**3 + 0*t. Determine q*s(k) - 4*d(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3796441 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + -1.93. Let q = 63614 + -63652. Put q, c, -3\/2 in descending order.\nAnswer: -3\/2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 y when four letters picked without replacement from yxrrbxyybxrbxy?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -4*y**4\/3 + 9*y**2. Let w(t) = t. What is l(w(d))?\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2161 - 41 = 5*b. Is b a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -191 + -10a64?\nAnswer: -11145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/5 + 3787*p**2\/5 - 30232*p\/5 = 0 for p.\nAnswer: 0, 8, 3779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/2*288\/54. Let m(l) = -l - 23. Let y be m(o). Suppose -3*g = -8*g + 5. Solve -2*k + g = -y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and -3149651762440?\nAnswer: 3149651762421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41351 minus 186?\nAnswer: 41165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5088048 and -0.5.\nAnswer: 5088047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13435 + -7367. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7160621*n**2 + 42142845?\nAnswer: 14321242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -23. Sort a, 1, -1 in decreasing order.\nAnswer: a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = a + 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335529 is divided by 292?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -9 - (2 - 1). Suppose r = 2*q - 2. Let g = q - -4. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 11:58 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 10*a**2 + 9*a + 3. Let j be v(-9). Suppose -12 = -j*g - 3. Suppose 0*n + n = -5*m - 3, -3*m + 15 = g*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 7 + 26*(-1)\/8. Sort -4\/3, -0.2, 16, q in decreasing order.\nAnswer: 16, -0.2, q, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2120948 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5545.\nAnswer: 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 - 4*g + 0*g**2 + g**2 - 8 + 9. Suppose 5*y = l + 21, -y + 2*l + 2 = y. Let m be c(y). Solve 5*f + 3*b - 21 = 0, -5*b + 10 + 12 = m*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2) + (-1 - -4). Suppose 5*n - 154 = g, n + 106 = 4*n - s*g. What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*z - 2*b, 571*b = 574*b + 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43555517.\nAnswer: 43, 1012919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6497473 is divided by 590675?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyyyyyyyyyyw. Give prob of picking 3 y.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42231*w - 274684 wrt w?\nAnswer: -42231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/4 - 4*p**3\/3 - 3*p**2\/2 - 5*p - 14. Let j be -2 + 3 + -1*5. What is the units digit of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 32*f - 28*f - 2*f - 3 + f**2 - f**3. Let u(a) be the third derivative of a**6\/30 - a**5\/15 - 3*a**4\/8 + 13*a**3\/6 + 4*a**2. What is -9*l(y) - 2*u(y)?\nAnswer: y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59904870 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, -137914?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*k - 2870, 3*k - 2309 = -k - 5*m. Let v = k - 567. Let 4\/11*q**3 + 0*q**2 + 0 + 0*q + 2\/11*q**v = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28674f19 + -4?\nAnswer: -28674f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - -5. Let v = 5 - f. Sort 0.3, -3, v.\nAnswer: -3, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 66 - 51. Let w(q) be the second derivative of -7*q**5\/20 + q**4\/6 + q**3\/6 + 3*q. Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157880?\nAnswer: 2, 5, 73, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2135 or -2141?\nAnswer: -2135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 72411*m. Let b(h) = h**2. What is q(b(z))?\nAnswer: 72411*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3 = 5*h, -3*w - 3*h - 3192 = -3198 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 247?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1416 - -7143\/5. Find the common denominator of p and 52\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53*(-13)\/468 + 10\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.174235 to 3 dps.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 38263484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**3 + 3*a**2 + 6*a - 15. Let n be (0 + 4)*(-17)\/(-34). Let x be b(n). What is x rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 309. List the prime factors of z.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 21*a - 5*g - 37 = 0, -2*g = 3*a - 27. Suppose 0 = 4*n - 4*l - 36, 0 = 6*n - 10*n - l + a. Solve -7 = n*t + 3*r, -3 = -3*t - 4*r - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510474510 divided by 5?\nAnswer: -302094902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5443206 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n - 31 = -112. Suppose -4*s - 3*a + 660 = 0, -3*s + a = -n*a - 520. Is s a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -11, 1, -126 in ascending order.\nAnswer: -126, -11, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*x + 5 + 7, f + 2*x = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 251, -1, 4, -8, 2.\nAnswer: -18, -8, -1, 2, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 3 + 5 - 3. Let p(m) = 12*m**3 - 8*m**2 + 10. Suppose -t - 9 = -10. Let c(q) = t*p(q) + 10*g(q). Find the third derivative of c(r) wrt r.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/374 and 99\/1088.\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255634371?\nAnswer: 2255634371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 460 and 12681.\nAnswer: 5833260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from {k: 7, h: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 25. Let v be 5\/2*(-8 + 4)\/s. Suppose 3*x = 4*i - 268 - 255, v*i + 3*x = 674. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 225. Suppose 3 = 4*c - j. Suppose 10*q + c = 8*q. Which is smaller: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 12:32 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*s - 512*s + 291*s to t*s + y and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 513552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*b**5 + 8530*b**2 + 312369*b?\nAnswer: 1520*b**3 + 17060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h**2 + 2*h - 5. Let q(j) = -19*j**2 - 2*j + 5. Let w(a) = 4*q(a) + 5*y(a). What is the remainder when w(-3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*y - 13139 = 0, 3*k + k - 4*y - 10504 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + u = -11, -3*u + 6 = 5*n + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let q(v) = 3*v**2. Suppose 0 = -5*d - 12 - 3, -5 = -l + d. Let m(r) = l*q(r) + 5*w(r). Let s(n) = -6*n. What is s(m(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(0*h**3 - 8*h**3 - 51*h + 9*h**3) to the form n*h**2 + m + q*h**3 + u*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 784203 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 215224 (base 6) to base 12\nAnswer: a514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -924733284009 minus -0.6?\nAnswer: -924733284008.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 3, k: 11, g: 3, o: 1}. Give prob of sequence gobk.\nAnswer: 11\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1364, 2679, 3990, 5297, 6600, 7899?\nAnswer: 9194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + (3 + sqrt(200) + 1 - sqrt(200))) + (-5*sqrt(128)*-2 + 4*1*sqrt(128))*2)**2.\nAnswer: 4032*sqrt(2) + 100433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 84. Sort f, 0.5, 4\/3, 0.4 in decreasing order.\nAnswer: f, 4\/3, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 141*b**2 + 46*b**2 + 31*b**2 - 4*b.\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.08, -2\/3, -2\/35, -0.1, -2\/11?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14358 - 0?\nAnswer: -14358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(5 + (-20)\/6). What is the fourth biggest value in 1, -4, 3.4, -4\/3, g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 + 200. Calculate the remainder when 194 is divided by 70 - 4*s\/4.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9748)\/(-11) + (-4)\/22. Suppose -886 = -2*o + 2*v, -2*o - 2*v + m = -v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -2. Let z be (0 + g)*(1 + -2). Let n be 1\/(-2) - 3\/(-12). Is n smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 6\/(-3))*-2. Let y be 2 - 15\/(z\/(-2)). Let o = 38 + y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549569789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/126446 and 101\/7438.\nAnswer: 126446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - g - 2. Let l be p(2). Solve 10*z - 11*z + 2*s = -3, l = -4*z + 4*s - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87006215 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27\/119 - -1\/17. Suppose -t - 2 = -2*h - 0*h, -4*h + 4 = 0. Let z = t + 0. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 21 = -k + 2, 3*n + 12 = 0. Suppose 2*h + h = 4*j - 11, 0 = 2*j - h - 7. Let p = j + k. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 41*f**2 - 5*f - 165. Let m be h(-41). Solve -4*c - m = -12*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*r = 8, i = 2*i + 4*r + 12. Is 63*(36\/(-14) - (1 + i)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/5, -20\/3, 5\/2?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-1)\/24*-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((46 + -17)*2))\/(2 - 0).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((1\/(-7))\/1). Suppose 0*w + 4*k - 8 = 2*w, 4*w - j = -2*k. Solve 5*g + 12 - w = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*t**2 - 1\/3*t**3 - 1\/3 + 1\/3*t.\nAnswer: -(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0*u + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*5 - (8 + -5). Let w = 71.12 - 71. Let y = 0.18 + w. Which is the nearest to y? (a) -0.1 (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - 6*g - 5. Let w(v) = v**3 - 9*v**2 - 12*v - 6. Suppose -2*i + 3 + 17 = 0. Let u be w(i). Let a = -30 - u. Give p(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 10*p**2 + 11*p + 4. Let x be o(8). Let n = x + 41. Suppose 3*j + 216 = n*j. Calculate the highest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1 + sqrt(2448)) - sqrt(2448)) + (sqrt(2448) - -3*sqrt(2448)) + 1 - (5 + -2*sqrt(2448) - (1 + sqrt(2448) + sqrt(2448))*4)**2) + 5.\nAnswer: -244793 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:35 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**11\/55440 + a**7\/1260 - a**4\/6 + a**2. Let t(q) be the second derivative of w(q). Find the third derivative of t(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1743924 - -7356888. Let u = h - 5612984.9999987. Let w = u + 21. What is w rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (3 - (-44)\/(-12)). Let z = 70\/2693 - 8033989\/29623. Let s = z + 271. Which is the closest to s? (a) m (b) 1 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, o: 4, s: 9, u: 3}. Give prob of picking 1 o and 1 w.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -14) + -8 + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 155897 and 0.07.\nAnswer: 155897.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -74865628\nAnswer: -1\/37432814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227264026 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*(-2)\/12. Let m be (-51)\/45 + 2\/6. Suppose -3*q + 77 = -7*t, 10645*q = 10647*q + 3*t + 56. Sort s, 1\/3, q, m.\nAnswer: q, m, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*v**5\/11 - 142*v**4 + 4176*v**3\/11 - 2824*v**2\/11 + 128*v\/11 = 0. What is v?\nAnswer: 0, 2\/41, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*5\/(40\/(-12)). Let l = 18 - h. What are the prime factors of 4\/l + 19\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b39 (base 14) to base 2.\nAnswer: -10011111101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.2 + -220687.\nAnswer: -220704.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1949, -1872, -1813, -1766, -1725?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49609.8cm?\nAnswer: 0.496098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 16, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012112 + -12111?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37832.33 millennia in years?\nAnswer: 37832330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297.879 - 29.781. Let b = l + 328. What is the nearest to -0.2 in b, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/15 + 814*r**2\/15 = 0.\nAnswer: -407, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h + 1. Let u(j) = -4*j**3 + 11*j**2 - 3*j - 3. Calculate -3*t(c) - u(c).\nAnswer: c**3 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**33*y*y*y*y)\/y)\/y**4)**(16\/5))**(-25\/3) assuming y is positive.\nAnswer: y**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/4, -4, -5\/12, -3, 3 in decreasing order.\nAnswer: 3, -0.1, -1\/4, -5\/12, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/7)*a*a)\/a**(2\/31))\/(a\/a**(1\/12)*a*a**(3\/8)))\/(((a**0\/a)\/a*a)**38*((a\/a**(-1\/2))\/a)**(-21)) assuming a is positive.\nAnswer: a**(252221\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4192 divided by -1048.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189329, 378644, 567959, 757274, 946589?\nAnswer: 1135904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -6*y + 110. Let a(o) = o + 4. Let j(t) = -5*a(t) - 4*l(t). Let u(i) = -i + 1. Give j(w) - 6*u(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*x + 19, -h + 157*x - 156*x - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 13*h + 11. Let q be f(12). Let o be -5*(-2 - q*4). Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(33)\/sqrt(3) + sqrt(22)\/(sqrt(10)\/sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02959 + -0.07041. Suppose -2*i - v = -3*v, -i + 3*v + 2 = 0. Sort 25, k, i, -2\/3 in decreasing order.\nAnswer: 25, k, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 2}. Give prob of sequence mem.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -47, -84, -139, -218, -327, -472, -659?\n\"Answer: -j**3 - 18*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 324*w**2 + 265*w + 171. Is a(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1180516?\nAnswer: 11805160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 747*n - 632. What are the prime factors of z(7)?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g = 247*g + 987*g + 48336 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + m + 21. What is the remainder when k(0) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 39*y**2\/4 - 39*y - 45.\nAnswer: -3*(y + 2)*(y + 5)*(y + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 1860973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2. Let c(i) be the second derivative of 85*i**4\/12 - 2*i + 30. Determine -6*c(o) + 105*f(o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143 (base 5) in base 9?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16400170?\nAnswer: 2, 5, 1640017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 707697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*d + 5*b + 7, 3*b + 23 = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h - 66422 = -4*m + 114*h, 4*m = h + 66431. List the prime factors of m.\nAnswer: 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 8344. Let b(a) = -3*a + 12529. Calculate -5*b(q) + 8*f(q).\nAnswer: -q + 4107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*m - 0*m - 5*h, 5 = -5*m + 3*h. Suppose -213 = a + m*q, -a + 4*q - 115 = 116. Let w = a - -410. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46935 divided by 15.\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -8*s. Suppose -5*u = 3*c - 0 - 1, u = -s*c - 4. Let h = 2 + -3. What is the third smallest value in 9, c, h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d676 + -2a?\nAnswer: d64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8276*w + 4124*w + 4153*w. Let j(d) = 555*d. Give h(j(q)).\nAnswer: 555*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61227673 plus 0.074821?\nAnswer: 61227673.074821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227649282.\nAnswer: 2, 71, 2879, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4862836946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1491 - 1495. Let o = -9 + 4. Let f = 0.2 - -0.8. What is the second smallest value in o, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -5\/4, -206, -83, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-135)\/(-10)))\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 6 - 10*-5. Let t be o\/((-5)\/(15\/(-3))). Let d be 7 - -1 - (15 + -13). Calculate the greatest common divisor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + -6 + 3 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 502\/45 + (-280672)\/25060?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 70*s**2 - 4*s - 20. What is the ten thousands digit of l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -11. Let j be (c + 0)\/(2\/(-2)). Factor -4 + 18*z**2 - j*z**4 - 10*z**2 + 0.\nAnswer: -4*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(7 + 8*i - 7) to the form h + l*i and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 745550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 28550*a - 114508. Calculate j(4).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/8, -4188447, -4 in decreasing order.\nAnswer: -11\/8, -4, -4188447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbprp. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, g: 3}. Give prob of sequence rgr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 7. Calculate the smallest common multiple of 16 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-1\/13)\/y))*y*y\/y**7*(y\/(y**(-3)\/y))\/(y\/(y\/y**(-1\/2))*y) assuming y is positive.\nAnswer: y**(-41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 78323 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, v: 1, w: 4}. Give prob of picking 1 l, 1 g, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.4 + 8. Let j = 31 - 14.3. Let b = j + -17. What is the second biggest value in g, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 f when three letters picked without replacement from juffjjjjrjufjhjjjjbj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477264 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 106. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-12) + -4)\/((-1)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60059)\/10355)\/((-2)\/(-20))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 286, 559, 820, 1063, 1282, 1471?\n\"Answer: -g**3 + 280*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1153272 and 696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:14 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 2. Let d = 5 - 11. Let g = 1 + 10. What is the remainder when s(d) is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1960 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130249 + 130240.60167. Let k = v + 8.4. What is k rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let g(n) = n - 2. Let q(j) = -3*g(j) + 5*z(j). Let a be q(-1). Suppose -3*o = a*f + f, 4*f = -5*o - 13. Put 0.3, 2, f in increasing order.\nAnswer: 0.3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/4, -42\/11 in descending order.\nAnswer: 3\/4, -3, -42\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n + 10*n. Let l be (27\/4)\/(1\/(18 - n)). Suppose 19*y - l = 16*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322, 33, 12.\nAnswer: -322, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 152. Let q = 3250 + -3375. Let k = i - q. What is the highest common factor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/9 - 278*t**3\/9 - 2500*t**2\/3 + 864*t = 0.\nAnswer: -24, 0, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 197*r**2 + 2488*r + 355. What is y(15)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/2 + 219*v\/2 - 217 = 0. What is v?\nAnswer: 2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4\/4 + 33*i**3\/4 + 13*i**2\/2 - 24*i + 8 = 0.\nAnswer: -4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-1))\/s*s**(-13))\/((s**(3\/7)\/s)\/s**(-6\/7)) assuming s is positive.\nAnswer: s**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*q = -5, -5*f - 12 = -3*q - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*o = -3*q - 27, 2*o = 4. Let p(y) = y**3 + 13*y**2 + 2*y + 3. Is p(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 2\/71, -0.5, 2\/29, -5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 2. Let p(m) = -m + 2. Let z(s) = 5*p(s) - 4*y(s). Let x be z(-3). Suppose 59 = 5*r - x*v + 2*v, -5*v + 15 = 3*r. Solve 7*u = 2*u + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128232830 rounded to the nearest 1000000?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 5*a. Suppose 13 = -2*y - 9*g, 2*g - 13 = 5*y + 5*g. Give w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312592 divided by -22328.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.366408 to 3 dps.\nAnswer: -0.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -1100111100?\nAnswer: 1100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.25, 15, -1.1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15512628*i*n + 24454006*n wrt i.\nAnswer: 15512628*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let v(o) = -2*o**2 - 14432*o - 14452*o + o**2 + 28857*o. What is v(t(f))?\nAnswer: -f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3588 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4370903339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.037615 months to centuries.\nAnswer: 0.0041980125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 4*a**2 + 5*a + 9. What is d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 + 3 = 0. Let j(l) = 6*l**3 + 5*l**2 - 4*l - 2. Let w be j(i). Let t(a) = a + 3*a**2 - 2 - 57*a**3 - 8*a**2 + w*a**3. Calculate t(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-7 - -14) + 13 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 4*b**4 - b**3\/6 - 232*b. Let z(d) be the third derivative of -d**4\/12 + 4*d**2 - 6*d. What is z(k(o))?\nAnswer: -96*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 - 135 - (-4 + -1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 15*d**2 + 16*d - 284. Calculate the remainder when 78 is divided by w(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - 2 - -4) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 4699 = -3*l, -l + 3 = 0. List the prime factors of j.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/19)\/(132\/(-231)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 18693*r**4 - 18*r**3 - 18*r - 10098. Let k(v) = 5341*v**4 - 5*v**3 - 5*v - 2885. Let m(d) = -18*k(d) + 5*u(d). What is the derivative of m(l) wrt l?\nAnswer: -10692*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*r + 24 = -155*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.0079 + -6.01. Let p = -3 - x. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 548*f**5 + 39*f**2 - 763*f**5 + 2*f**2 wrt f?\nAnswer: -12900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/2090)\/(2172\/905)\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnnddodsssnl. What is prob of sequence nod?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 1*-2 - 0. Let k(z) be the first derivative of z**3\/2 - z**2 - 9*z - 9. Let j(o) be the first derivative of k(o). What is j(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/(-58)*0\/(-2). Suppose n = -20*g + 18*g - 4. Which is smaller: -71 or g?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5055 or -5052?\nAnswer: -5052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.082 and 464.\nAnswer: 38.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -132331 (base 5) to base 6\nAnswer: -40421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13350.2847 and 0.1969?\nAnswer: 13350.4816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1349923 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5 + 60*q**4 - 18*q**3 - 532*q**2 + 264*q + 720 = 0?\nAnswer: -30, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 6*b + 3. Let r be 12\/(-8)*(-72)\/(-27). Determine o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and 2.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 168.3\nAnswer: 173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(75\/(-6)))\/(((-152928)\/(-240))\/59).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -54. Let g = -1\/4 + w. Let b = -5\/12 + g. Is -0.2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141751.7 kilometers in meters?\nAnswer: 141751700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.335 - -14.535. Which is the second smallest value? (a) 2\/5 (b) -2 (c) o (d) 0.37 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2953278*m**2*u**2 - 2*m*u**2 - 90*m*u - m - u - 267 wrt m?\nAnswer: -5906556*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z. Let x(p) be the second derivative of p**6\/180 - 7*p**4\/12 - 23*p. Let a(g) be the third derivative of x(g). Calculate n(a(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 + -0.39000032. What is j rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17646 is divided by 236.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348544.\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 98. Suppose q + w*c - 7 = 0, 3*c + 2 = -2*q + 3*q. Suppose -t - 4 = 4*m - 30, 57 = 3*t + q*m. Is 11 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 > 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245979856.\nAnswer: 2, 11, 7079431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)*w*((w\/(w*w**(-2)))\/w*w)\/w*w*(w**(-2\/19)\/w)\/(w*w**(-8)))\/(w**10*w**(-6\/7)\/w)**(7\/9) assuming w is positive.\nAnswer: w**(1784\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.78565 millimeters in micrometers?\nAnswer: 8785.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.79 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6 + 7 - 12 + c - 22*c**2. Give z(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/90*12\/2)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4713623 is divided by 147299?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.940795 kilograms to milligrams.\nAnswer: 9940795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 1. Let m(o) = o**3 + 3*o**2 - 3*o + 2. Let c(l) = 5*f(l) + m(l). Let d(j) = -15*j**3 + 11*j**2 - 11*j - 11. Determine 22*c(p) - 6*d(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -10.236?\nAnswer: -5.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + 5 + sqrt(833) + -5.\nAnswer: 4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 559104210 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 14. Suppose -2 = -r - 43. Let g = 81 + r. Calculate the remainder when g is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -182\nAnswer: -6370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 2 in decreasing order.\nAnswer: 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -3*m**5\/20 - m**3\/3 - 3*m**2\/2 - 17*m - 1. Let k(d) = -2*d**3 - d - 2. Let y = 3 - -2. Give y*k(q) - 3*g(q).\nAnswer: -q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/24 + 10*r**3\/3 - 26*r**2. Let y be h(15). Suppose -y*g + 3*g = -82200. What is g rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17512 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.586 + -0.054. Let b = -0.14 - n. Let c = b + -1.4. Is c at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 463874978*l**2 + 1041940856 wrt l?\nAnswer: 927749956*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 56*a - 11. Let k(y) = -28*y + 5. Determine -13*k(h) - 6*l(h).\nAnswer: 28*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 179428 to the nearest 1000.\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10785, -10977, -11279, -11745, -12429, -13385?\nAnswer: -14667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 7) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/1426 - 1\/31. Let x be 0\/(-4 + 4\/2). Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/167844 and 119\/1278?\nAnswer: 503532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 k, and 1 r when four letters picked without replacement from ksksrkkxskkkkrxxskrx?\nAnswer: 54\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**3 - 11660447*c**2 - 11660451*c**2 + 23320898*c**2.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 39*v + 477. Determine d(-2).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 15*q**3 + 263645*q**2 + 1158522040*q + 386144720 = 0?\nAnswer: -8788, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**4 - 10*v**4 - 271 + 110*v - 30*v**3 + 21*v**4 + 57*v**2 - 125 + 118*v = 0. What is v?\nAnswer: -11, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4141675?\nAnswer: 5, 165667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 163751 less than 163751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88)\/sqrt(4))\/(sqrt(11) + (sqrt(11) - (sqrt(88)*-2 - sqrt(88))\/sqrt(8))).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6131*a + 3132921. Give n(511).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 6*u - u - 3*u + 4*u + 0*u - 1 + 1 - 3*u + (u + 2 - 2)*(-1 + 3 - 1) + 0*u + 4*u - 2*u - 3*u - u + 5*u + u + 3*u - 3*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000111000 - -1?\nAnswer: 101000000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 803\/9. Let m be (-16 + (-2000)\/(-120))*(0 + (-18)\/4). Which is the nearest to 0.1? (a) -2\/11 (b) m (c) x (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -2480115363.281\nAnswer: -2480115375.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 92 (b) 0.2 (c) 8\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 - 252*s**2 - 16125*s - 31250 = 0.\nAnswer: -125, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 4*z + z + (-3 - 1 - 8)*(z + 5*z - 3*z).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8 - (-95)\/(-20). Let l = -3 + 7. Is (-1)\/x + 91\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 30 = 2. Find the second derivative of -18 - m**v - 8*m**4 + 2*m + 18 wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 22*u**2 + 7*u - 58. List the prime factors of l(22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + 33. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 209. Let d = -15944 + 16001. Calculate the highest common factor of f and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152) - sqrt(152))\/sqrt(8) + sqrt(19) + -4.\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 7*w + 5. Let u(j) = -4*j**2 + 24*j + 15. Let k(z) = 14*p(z) - 4*u(z). Is k(13) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/(-18) - 4\/(-18). Let y be 1\/m - (-6)\/24. Suppose y*o + 2*o - 12 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/1 - (13 + -13). Which is the closest to -5? (a) g (b) -2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8831.96 nanograms in kilograms?\nAnswer: 0.00000000883196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11982730*q*u + 9296149*u wrt q?\nAnswer: -11982730*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:55 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 12*y - z + 45 = 0, 0 = -2*y - 4*z + 26. Suppose y*s - 1368 = 5*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -637681*v - 36*v**3 + 487*v**3 + 226*v**3 + 646127*v wrt v?\nAnswer: 4062*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 11 = -17*d + i, 2*d = 3*i - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 28*t - 30*t + 8*t + 20 + 1. What is the tens digit of f(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36360.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13785805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2315*h**3 - 716*h**3 + 685*h**3.\nAnswer: 2284*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/18*-4 + 1 + 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdmrc. Give prob of sequence mc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (306\/1326)\/((-510)\/(-65))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -933495, -3733982, -8401461, -14935932, -23337395, -33605850?\nAnswer: -45741297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 1. Suppose -5*z + 39 = 3*g, -5*z - g + 15 = -6*g. Let v(o) = -7*o + 1. Suppose -31 = 3*u - 4*i, 2*i + 4 = -3*u - 3. Calculate u*v(d) + z*j(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16564648.655254 + -16564634. Let b = -13.3252467 + k. Let q = b - 1.33. What is q rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132523 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let d(q) = -447*q**2. Calculate b(d(l)).\nAnswer: 447*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617226 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 4. Let x = 2 + r. Suppose -y = -6*y + x. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43972005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 311 - 519 = 0. Differentiate -33*a**2 + 11*a**3 - r*a**3 + 33*a**2 + 49 wrt a.\nAnswer: -123*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/40737 and -22\/37.\nAnswer: 40737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 7b?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47597 + 3?\nAnswer: 47600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2705345\/26 or 104051?\nAnswer: 2705345\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*u - 5, 4*n - 2*u - 118 = 0. Solve -8*y - 9 = n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17043 + 17383.88. Let x = b + -341. Which is greater: -9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -247, -482, -717, -952, -1187, -1422?\n\"Answer: -235*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 61*c - 8. Let j = -162 + 167. What is the units digit of s(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5218 + 5224. Solve -5*u = -10, 3*r + 2*u = g - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 + -1.8. Let z(t) = 3*t - 7. Let w be z(5). Let o(y) = -y + 9. Let k be o(w). Which is the third smallest value? (a) 5 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2559687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*o + 164*o - 6*o**2 + 157*o + 0*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = -4*y. Let s(j) = 10*j**2 - j + 1. Is 10 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 9*k**2 + 2*k**3 - 8*k**2 - 2*k - 3*k**3 to u*k + s*k**3 + l + t*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.0572?\nAnswer: -0.7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 722800 rounded to the nearest ten thousand?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77481001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -p + h - 538, 1606 = -3*p - 2*h. Let q = p + 1635. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 + 132. Does 78 divide c(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95201\/107 less than -889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5388.057mm in meters?\nAnswer: 5.388057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1817*y + 4*y**2 + 865*y + 922*y.\nAnswer: 4*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/56)\/((-184)\/32).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -33*l + 75. Give y(-4).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25004727 is divided by 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 108 + 3. Suppose -4*p = -w + 31. Calculate the remainder when p is divided by (-2 + 1)*(2 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 1179?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + -1 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 2, k: 3, n: 4}. What is prob of sequence ksk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 918 - 915.138. Let d = 0.038 + z. Let s = -3 + d. What is the closest to -0.1 in 1\/2, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1920726 millilitres in litres?\nAnswer: 0.0001920726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 + 4*h**2 - 428 + 241 + 255 + 67*h = 0. Calculate h.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*((-33)\/1)\/(-528)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 1 + 253*z**5 + 2*z - 288*z**5 - 8 wrt z.\nAnswer: -700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -360 - 2?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.68, -181, -0.4 in increasing order.\nAnswer: -181, -4, -0.4, 0.68","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 7*p + 6 - 4 wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5275413869 to the nearest integer?\nAnswer: 72632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 v when four letters picked without replacement from riiririiiiiirv?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 14 = -6*y. Suppose y*q + 2941628 = -243372. Round q to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443 + -15?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111763443 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.13, 0, 5, -6\/23785, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, 0.13, 0, -6\/23785, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -26. Let u = -17 - 17. Let r = u - -36. Solve 5*l - r*l = -f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17902 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008371632 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003110441 rounded to 5 dps?\nAnswer: -0.00311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = 3*w - g, 2*w = 3*g + 21. Suppose 0*f + f - 4*h = -w, 3*h - 12 = 0. Suppose z = -f*z + 25. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-1))\/(45\/345*23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2151*j - 13584 + 75963 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3971 - 3303 + 1097 = -29*s. Calculate the remainder when s is divided by 181.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418188 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.94 + 0.93. Put i, 0, -0.2 in increasing order.\nAnswer: -0.2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, 0.03, -8, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 45. Let z(q) = -2*q**3 + 5*q**2 - 2*q - 4. Let c be z(3). Let u = r - c. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1017 - -5?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-270 + 270 + (-3 - -1 - 11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 21*c - 73. Let b be i(-16). Let u(r) = -14 + 2 + 6 - b*r**2 + r**3 + 2. Give u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = v - 4*r, 2 = -4*v - 21*r + 22*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0519894 centuries to years.\nAnswer: 5.19894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 16*l**2 - 27*l - 20. Let o be h(14). Let f = 8 + o. Let j(q) = 2*q + 2*q - 4*q + 4*q**f. Let a(i) = -3*i**2. What is a(j(g))?\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(128) + (-1*sqrt(128) + 0 - sqrt(128)) + 3*2*(sqrt(2) + sqrt(18)))*1)**2 + 4)*4.\nAnswer: 128*sqrt(2) + 2068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y. Let f(v) = -335055*v**2 - v - 3. Determine f(a(w)).\nAnswer: -8376375*w**2 + 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-seven quarters of a milligram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 10404*o - 9020268.\nAnswer: -3*(o - 1734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279811*p**3 + 2*p**2 + 76*p - 19 wrt p?\nAnswer: 1678866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 65 + (-16 - 0) + -26\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 5. Let a be p(6). Let w be (a - 8\/4)*8. Suppose -31 = 9*x + 14. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 15*s**3 + 144 + 2571*s**2 - 100*s + s**4 - 5124*s**2 + 2493*s**2 = 0.\nAnswer: -18, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/124 and 113\/310.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 416. Let b(u) = -2*u - 412. Calculate -3*b(h) + 4*z(h).\nAnswer: 2*h - 428","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113233012 (base 4) to base 10.\nAnswer: 97222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94494822?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -133.665. Let c = j - -0.7. Let n = c - 0.034. What is n rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -77.\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 824653\/41052 - 16\/3421. Are r and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3611 - 0.0389. What is the nearest to 1 in -0.5, 2, g, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 43*b**2 + 30*b - 173. Give l(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -9 - 10 - (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.09 - -0.09. Let h = 57.75 - 53.091. Let x = -0.341 - h. Which is the third smallest value? (a) -4 (b) j (c) x (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 - 345*a**4 - 1419*a**3 - 1071*a**2 = 0?\nAnswer: -3, -1, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403311 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a - 198 - 2 = 208 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -434.1046464 rounded to the nearest integer?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45594?\nAnswer: 2, 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 - d**2 - d + 1. Determine y(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727 a factor of 933895786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -12. Let s(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 5*f**2\/2 - 19*f. Let g(d) = -2*d**2 + 8*d + 8. Give m*s(r) + 5*g(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16 (b) 0 (c) -0.3 (d) 1\/10 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c - 10. What is the second derivative of 8*r**5 - 22*r**c + 0*r - 4*r - r wrt r?\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*(v**(-12)\/v)\/v*v)\/v*v\/(((v*v**(1\/3))\/v)\/v))**(-15))**32)**(10\/17) assuming v is positive.\nAnswer: v**(49600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1846 - -474?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3387749 (b) -12 (c) -5 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -25.7?\nAnswer: -359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from mnnnmmmaa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16335.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4988 - 109715\/22. Calculate the common denominator of l and 121\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejeeeqjeh. What is prob of picking 2 j and 1 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93685.\nAnswer: 5, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let h be w(2). Let l(g) = -g - 2. Let x be l(-4). Solve 20 = -4*t, -4*y - x*t = 12 + h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3600)\/(-336))\/(17\/(-17))?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88570 or 619992\/7?\nAnswer: 619992\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-234)*(34\/26 + -1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1 + (-3 - -9). What is the first derivative of 1 + 5*j**2 + 0 + g wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + 0*k - 2*k + 2*k - 2*k + (2 - 5 + 4)*(5 + 7*k - 5) + (-4 + 4 + 1)*(0*k - k + 3*k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11599 (base 14) to base 11.\nAnswer: -29842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -99*f**3 - 4*f**2 - 89. Let y(z) = 298*z**3 + 11*z**2 + 267. Let m(b) = -11*r(b) - 4*y(b). Find the first derivative of m(a) wrt a.\nAnswer: -309*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 119501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -1\/6, -4 in descending order.\nAnswer: 180, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*x + 25, x + 3*r - 2 = 5*r. Suppose -s + 5*l = 2*s - 208, 3*s - 4*l - 203 = 0. Let v = s + x. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -23 (b) 3\/7 (c) -2 (d) -0.02 (e) -1\/2967\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 62 = -43. Suppose -q + 4*q = p. Suppose 0 = 2*t - 197 - q. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*-0.61847.\nAnswer: -2.721268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 1\/3*z**4 - 12*z**2 + 0*z + 7\/3*z**3 + 0. What is the tens digit of t(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 3*q - 5. Let o(u) = u**2 - u + 1. Calculate 4*o(p) + r(p).\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -28*m - 1. Let o be k(1). Let l = 470 + -746. Let i be (-26)\/65 - l\/(-10). Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (162\/21)\/(2\/28) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04783020781 to 3 dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*v**2 - 290*v**2 + 1577*v**2 - 634*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -301, -414, -317, -10, 507?\n\"Answer: 105*i**2 - 428*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1961 by 415506.\nAnswer: -1961\/415506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14319440 divided by -272\nAnswer: -52645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7834 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y = -36*y - 89. Suppose 0 = -9*o + 5*o + 3*r + y, -4 = -4*r. What is the remainder when 0 - -3 - -5*(10 + -2) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.481743 + 0.4817. What is l rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785 divided by 157?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 17. Suppose 0 = -3*l, -2*c + 7*l = -3 - 13. Suppose v*b = c*b - 10. Is 2\/37 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7948 a factor of 449999864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 180*q**4 + 2*q**3 - 113*q - 2. Let n(d) = d**3 + d - 1. Let j(v) = 2*n(v) - s(v). What is the second derivative of j(k) wrt k?\nAnswer: -2160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-5)\/70)\/(30\/36).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2252 - 5?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 16 = 7*l. Suppose -2*z = -15 - l. Let w(o) = 2*o + 25. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597 divided by -5178?\nAnswer: 199\/1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + sqrt(19) - sqrt(19)) + -2)*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/(8\/240*9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 + (0 - 0). What is the first derivative of -1 - 4 + 2 + 4 - m*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7*b**3\/3 - 5*b**2 - 16*b. Let m be g(5). Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*l - 417*l + 0*l**3 - 11*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-one fifths of a milligram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30 and -17\/188325.\nAnswer: 376650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 20*o + 41*o - 25*o = 52, -5*o + 55 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.62 and 6302.\nAnswer: 6301.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 6*h + 4*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 21249146*d - 63747436\/3.\nAnswer: -2*(d + 1)*(d + 31873718)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m**2 - 3*m)*(-3*m + 5*m + 0*m) + m - m - 3*m**3 + (8*m - 8*m - 7*m**3)*(-1 - 4 + 3) + 0*m**3 - m**3 + 0*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3 (b) 0.1 (c) 0.2 (d) -888\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, -14, -34, -54, -74?\n\"Answer: -20*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/57 (b) -2\/13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1888, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 3\/2 (c) 3 (d) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s = 3690 - 3838. What is the biggest value in -3, -1\/5, -418, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 11*l = -115, -3592*u - 29*l - 49 = -3594*u - 34*l for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s + 8 = 0, 4*i = 3*s + 596. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7.2. Let n = -0.80006 - z. Round n to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/9 (b) 3 (c) 104 (d) 254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -18. Differentiate 9 - 187*n**3 + 187*n**3 - a*n**4 with respect to n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 61*f**2 - 27*f - 1. Calculate n(2).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = 10*d. Suppose -5*q - 5 = 0, -d*a + 4*q = -0*a - 475. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*q - 484, 151 + 75 = a + 2*q. Suppose -2*g = -4*h - 498, -5*h = -2*g + g + a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(300) + (sqrt(300) - (sqrt(300) + -1)) + -2)**2 + 2 - (sqrt(21)\/sqrt(567) + sqrt(3)*-2 + 0)).\nAnswer: -163*sqrt(3)\/9 + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 - 6*i - 10. Suppose -11*m + 19 = 52. Let v be a(m). Let b be 2 - -2 - 5*(-6)\/v. Sort 2, -5, b, -3 in ascending order.\nAnswer: -5, -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 502 + -507. Let n(q) = q**3 + 4*q**2 - 4*q + 1. Determine n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*c + 14. Suppose 3 + c = -2*b. Let t(g) = g**3 + 6*g**2 - 1. Give t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*b + 69 = 168, -3*c = b - 84. Calculate the highest common factor of 36 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-880)\/8)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -5*k - 59 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1490 and -57\/1744.\nAnswer: 1299280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -97. Let b be (-12)\/(-2 - 2) + 0. Suppose u + b*u = r. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 2*i. Let j(x) = 2*x. What is the tens digit of j(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 117, 233, 349?\n\"Answer: 116*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -787440?\nAnswer: -1574880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10 = 271276*r - 271271*r, 21 = 2*j - 3*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k - 8. Let h be d(-8). Suppose 5*x - h = 150. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124b07 (base 12) in base 16?\nAnswer: 48f37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6861547351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 440*m**2 - 168*m - 2. Let q(c) = -3*c. Calculate a(q(w)).\nAnswer: 3960*w**2 + 504*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34703.3 milligrams to kilograms.\nAnswer: 0.0347033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 v when three letters picked without replacement from {f: 1, r: 1, w: 2, v: 1, i: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y**2 + 368*y + 5702. Give x(-15).\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*q**2 + 91*q**2 + 6*q**3 + 10*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.3. Suppose 6*w - 17*w + 748 = 0. Let l be w\/119 - 4\/(-42). What is the second smallest value in l, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814389.093 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954280 to the power of 1\/2, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500611396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*((-35889)\/9)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*p + 24, 194*f - 66 = 193*f + 10*p + p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1345 - -1343. Sort i, 442, 2\/7 in descending order.\nAnswer: 442, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690039 and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13318 - 7973. What are the prime factors of f?\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ololoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 9. Let z be (-82)\/(-8) - m\/4. Let c = z - 8. Calculate the highest common divisor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**4)**40*(h**(-1\/3)*h)**(-8) assuming h is positive.\nAnswer: h**(-376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 8) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 - 994545*z**2 - 1989105*z - 994555 = 0. Calculate z.\nAnswer: -1, 198911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d**2 + 0*d**2)*(-136*d - 1180*d + 48*d).\nAnswer: 2536*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 788278935 to the nearest integer?\nAnswer: 28076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -1743.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/9 - 37\/63. Let a = 12.9 - 12.9. Let o = 0 + 0.2. Sort -5, a, o, w in increasing order.\nAnswer: -5, w, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*i - 676, 0*i = -3*i + 2*f + 1040. Suppose 12*w = 16*w - i. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*v - 23 = 0, -5*v + 9 + 6 = 0. Suppose l = -4*h + 2*h. Which is the closest to 2? (a) h (b) -18 (c) 2\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 10*n**2 + 6*n - 27. Suppose -k = -5*o - 5*k - 65, -4*k - 20 = 0. Let m be y(o). Solve m*u - 2*u = -2*x + 2, 2 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g - 183*g + 267*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 30.5. Let j = -0.5 + h. Let w = j - 16. Sort w, -1, 3.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*h - 0*h. Suppose 5*p = -5*j + 235, h = 2*j + p - 63. Calculate the common denominator of -107\/48 and 4 - (j\/(-48) + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79551100?\nAnswer: 2, 5, 19, 149, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01013475775 to six decimal places.\nAnswer: -0.010135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - -1dc?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1367265 - -143548.\nAnswer: 143547.8632735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -13658257050450 + -0.4\nAnswer: -13658257050450.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19501 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: Suppose -21 = 4*q + 7. Let t(c) = c**3 + 6*c**2 - 10*c - 5. Suppose 6 = -4*s - 2, -116 = -4*r - 2*s. What is the remainder when r is divided by t(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 6.3, -7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:09 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129965 is divided by 2304?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(950) - (sqrt(950) - 3*sqrt(950))))\/(-4*5*-3*sqrt(2)).\nAnswer: -3*sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 4 - (-7)\/(-3 - -4). Suppose -4*v + v + 9 = -y*w, -v - w + 3 = 0. Solve 6 - v = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1858946*k - 1 + 2517010*k + 1.\nAnswer: 4375956*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 110641 + 110641.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263922407 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 5*l + 2. Let p be d(-5). Suppose m - 2*m - p = 0. Put 5, m, 2 in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-110) - 2\/(-11). Let n = 24 + -29. Which is the closest to 6? (a) f (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + t + t)*(0*t**2 + 0*t**2 + 2*t**3 + (20*t**2 - 9 + 9)*(t + 0 + 0)) as o*t + n*t**4 + f*t**3 + z*t**2 + b and give n.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/6 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4981631 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174147434*c**4 - 173205455*c?\nAnswer: -2089769208*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112) + -3 - -3*(2*sqrt(112))**2) + 0.\nAnswer: -4*sqrt(7) + 1341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 0*f**4 + 0*f**4)*(2 + 10 - 8) + 2*f**4 - f**4 + 0*f**4.\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 16 - -50) + 4 - (-12 + -1 + 3).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -1.6, 4, 0.4, 0.5, -4.11?\nAnswer: -4.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**3 - 1324*t**2 - 81000*t = 0.\nAnswer: -250, -81, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 - 2*k - 4. Suppose 5*g - 124 = -29. Suppose -2*h = 3*x + g, 0*x - 2*h - 13 = x. Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6083*p**5 + 2*p**2 + 33*p + 15 wrt p.\nAnswer: 364980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8*p**2 - 1 + 887434030613*p - 887434030613*p.\nAnswer: 8*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f = 128*f + 2*k + 20, -3*k = 4*f + 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1519, 5, 132\/7?\nAnswer: 132\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvb. Give prob of sequence vj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -988*i - 10. Let n(r) = -r**2 - 148*r. What is n(f(l))?\nAnswer: -976144*l**2 + 126464*l + 1380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*s**2 + 34563 - 15*s - 34563 to u + j*s**2 + g*s and give j.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 540 = 44*k. Solve -5*u = -0*h - h - 20, -2*h - u = -k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 10) to base 5\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 1315609*p**3 + 3119840*p**2 + 1022613*p + 90738 = 0.\nAnswer: -2, -213\/1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff - 7?\nAnswer: f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 132*p - 26. Let b be o(-19). Let i(g) = 5*g**3 - 5*g**2 + 6*g. Let m(a) = 4*a**3 - 6*a**2 + 7*a. Determine b*i(d) + 6*m(d).\nAnswer: -11*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86416421 a multiple of 3277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/33 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c - 11. Let o be y(7). What is the second derivative of o*n**4 + 77*n**4 - 8*n - 162*n**4 wrt n?\nAnswer: -228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 15*z - 45 = -5*a, -2*z + 14 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0 + sqrt(5) + 5)**2 + -6*-1*sqrt(605).\nAnswer: 176*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 2*x - 3*x)*(6*x**4 + 2*x**2 - 2*x**2).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 10) in base 9?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30166567 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from {z: 7, x: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - j**2 + 0*j**2 + ((-2 + 4 + 0)*(-3 + 30 - 4) + 1 + 4 - 3)*(3*j**2 + 0*j**2 - 4*j**2) + (j - j - j**2)*(3 + 1 - 2).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and 251.7.\nAnswer: 251.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 30, -769 in descending order.\nAnswer: 30, 17, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 12, 20\/7, -18, -1\/4 in descending order.\nAnswer: 12, 20\/7, -1\/4, -18, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81184?\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1, 12, 3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + 6*i. Suppose -52 - 20 = i*p - 4*w, 2*p = 5*w - 33. Let l be -19 - p - 8\/10. Sort -11, l, 2 in descending order.\nAnswer: 2, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5273.01 + -5335. Let u = t + 62. Round u to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 329 and -0.0240296?\nAnswer: -7.9057384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Let x(a) = 4*a**2 - 8*a + 1. Let y be x(6). Suppose b*j - y = 31. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 4*r**2 + 1303*r - 7762. What is a(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 5.4. Suppose 0 = -z - 5 + 7. Suppose 0 = -z*t - t + 3. Which is the third smallest value? (a) t (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-24)\/16)\/(6\/4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 + (-64)\/(-20). Solve -4*n - 21 = u - 2*u, 2*n + s = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:35 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35270490.\nAnswer: 2, 3, 5, 1175683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -3604 + 3631. Let x(i) be the third derivative of -9*i**4\/8 - 2*i**3 - i**2. What is the units digit of x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcyyccyycyv. Give prob of sequence vcvy.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*k - 21 = 0, 3*t - 16 = -0*t - 4*k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozoaoozookozzoooo. What is prob of sequence ak?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rvvrrvvvvvvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3188, -6370, -9548, -12722, -15892, -19058?\n\"Answer: 2*n**2 - 3188*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + (56 - (17 - 7)). Solve 0 = i*s - 38*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(b**5 + 0*b**5 + b**5 + (4*b**3 + b**3 + 3*b**3)*(-6*b**2 + 3*b**2 + b**2) - 3*b**5 + 6*b**5 - 4*b**5).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 6) to base 7\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 58. Determine h(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-8 + 4 - (1 + 144)). What is the greatest common divisor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395431707 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0\/3*-1 + 4. Suppose -j = -3, 0 = w*n + 4*j - 514 - 588. Suppose -1142 = -5*s + n. What is the highest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkzk when four letters picked without replacement from zikzgigzzizzzgggiz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20*a = -958825. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 - 312 + 172*r**3 + 154.\nAnswer: 172*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 - 0.36. Let f = 2765 + -2764.89048. Let z = j + f. Round z to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 6*u - 37 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/8)\/((-3)\/(-200)). Suppose 3*w + 0*x - 2*x = 276, -2*x = w - n. Calculate the remainder when w is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a + 874 = 634 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 101.3. Let b = m + -0.3. Let r = b - 3.6. What is the second biggest value in r, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3559*d**3*h**4 - 5*d**3*h + 10*d**2*h**4 + 171*d**2*h**2 wrt h.\nAnswer: -85416*d**3*h + 240*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2. Let r(i) = -616*i**2 - 38*i + 26. Let u(d) = -205*d**2 - 12*d + 8. Let v(b) = -6*r(b) + 19*u(b). Give v(z(n)).\nAnswer: -1791*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - 2*r**4 + 0*r**3 - r**3 + (-r + 2*r**2 + r)*(3*r**2 + 2*r**2 - 2*r**2).\nAnswer: 4*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 + 85 + 232*d**4 + 4*d**3 - 30 - 2*d**3 to the form q + c*d**4 + v*d**3 + x*d**2 + g*d and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 3*d. Let r(z) = 5*z**2 + z + 3*z - 8*z**2. Let q(g) = 4*o(g) + 3*r(g). Let h be q(0). Which is the closest to 0.2? (a) 1 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*(-83)\/(-498)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 10*b - 17. What is f(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 24*y = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 25\/71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let l be 2 + 4\/2 + q. Sort l, 0, 8 in ascending order.\nAnswer: 0, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 30 + 9)*(2 + 5 + 20 + s**2 + s**3) in the form o*s**3 + d*s + g*s**2 + w and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/63*-3*(-3)\/(-18)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6383 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {c: 1, q: 3, o: 2, x: 3, v: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let w(m) = 4 + 0 + 2*m - 1. Suppose 750*g - 55 = 739*g. What is g*c(q) - 2*w(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 37*x + 121. Let q be b(3). Which is bigger: 1\/900 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - h + 0.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {m: 1, v: 3, g: 2, r: 1, l: 5, c: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4692\/7038)\/(5\/12)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13983 and 5460243?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 4, e: 2, x: 1}. What is prob of sequence eooo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Let k(f) = 6*f**2 + 5*f**2 - 6*f**2 - 7*f + 8*f**2 - 3. Let z(i) = -7*i**2 + 4*i + 2. Let y(a) = b*z(a) + 3*k(a). What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1124094275.60024 - 1124032063. Let v = -62190.6 + u. Let j = -22 + v. Round j to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131964 by -6.\nAnswer: -21994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - 11\/6*70. Let j = 139 + c. Suppose 5*d - i - 10 = 0, -6*i + 2*i + 17 = -d. Solve d*n - n = -j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3413717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoodcc. Give prob of picking 1 z and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110101122200 - -1022?\nAnswer: 11110101200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 7:22 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 806808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**8\/56 + 77*q**4\/24 - 30*q**3 - 58. Let s(p) be the third derivative of j(p). Differentiate s(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 15*y + 14. Let p be x(-16). Let f(l) = 6*l**2 - 2. Let n be f(p). Calculate the highest common factor of n and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:26 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948128.5 litres to millilitres.\nAnswer: 948128500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.4456 and -0.06.\nAnswer: 0.566736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.0547, -4, -1\/5, 0.4?\nAnswer: 0.0547","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(3) + sqrt(3) + (sqrt(192)*2 - sqrt(192))**2.\nAnswer: 2*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74676 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - x = -8, 0 = -4*t + 4*x - 10 + 2. Suppose o + t = h, h - 2 = -4*o - 0. Solve -5*q = -b + 3, -b - 3*q + o = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 147 + 269. What is the highest common divisor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(70\/(-4)) - 0. What is the nearest to -2\/5 in -1\/6, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 110770420*z - 1. Let l(p) = p**2. What is y(l(b))?\nAnswer: 110770420*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4*x + 4. Suppose -2*i - 6 - 2 = 0. Let p(f) = 3*f + 3. Calculate i*p(v) + 3*t(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -28, 1\/5 in decreasing order.\nAnswer: 1\/5, -2\/11, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 633035197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 3. Let b(x) = -x**2 - 7*x - 1. Let w be b(-5). Suppose -7*j + w*j = -4. Give t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*t - 90*t + 36*t**2 - 335*t**2 to y*t**2 + m + h*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q**5 + 0)*(4 - 1 - 1) + (1 + q**2 - 1)*(2*q**3 - 13*q**3 + 2*q**3) - q + q - 2*q**5.\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = -w + 18, 4*z = -w + 69. Let v(o) = -o**3 - 7*o**2 - 8*o - 5. Let r be v(-6). Calculate the greatest common factor of r and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.503 + 0.4624. What is m rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509042905 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from imiiiirriirqriyy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -4*i + 10, 0 = -2*i + 5*l - 18. Let x be (i\/(-3))\/((-1)\/6). Solve -3*g + 2 + 1 = 5*d, -g = -x*d + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1699, 3157, 4267, 5029, 5443, 5509?\nAnswer: 5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11730218, 11730222, 11730226, 11730230, 11730234?\n\"Answer: 4*a + 11730214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 + 3*l - 4. Suppose 13*g - 11*g = 0. Let w = -3 + g. Let n(y) = -29*y**2 - 8*y + 11. Let p(k) = w*n(k) - 8*a(k). Differentiate p(r) wrt r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2)**2*-2 - sqrt(15)\/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(45)\/sqrt(9))) + sqrt(5) + sqrt(5)).\nAnswer: -24 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) + (-360)\/75. Sort -3, 30, x in descending order.\nAnswer: 30, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*b - 19 + 11, -i = b + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25. Let c = -2 - 0. Is 1 + c - (w - 12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-12))\/(12\/(-72)) + 1638\/(-378).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 8*f**2)*(-f + 4*f - 4*f) - 18*f + 18*f - f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3968, 10402, 19300, 30662, 44488, 60778?\n\"Answer: 1232*c**2 + 2738*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-144) - ((-166)\/18)\/1. Find the first derivative of -w + 15*z**3 + 6*z**3 + 2 wrt z.\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y + 269 - 25*y + 72*y - 535 - 28*y + 289.\nAnswer: -3*y + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(27\/(-81))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - 72*z**2 + 157*z + 3252. Calculate h(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 392, 2, -2, 0, 4 in decreasing order.\nAnswer: 392, 17, 4, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7dd7 - 1411?\nAnswer: 69c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0 (c) -2 (d) -1\/51 (e) 365\/8 (f) 0.025\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 3 = -l + 3*z, -5*z = -2*l - 17. Let v be 48\/9 + l\/(-9). Let n be v - (-4 + 6 + 0). Solve 11*j - 3*o - n = 6*j, 5*j - 2*o = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d374 + 2361?\nAnswer: 206d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.979 + 362.479. What is n rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + 2*o + 1. Suppose -l - 2*l - 3 = 0. Let t be f(l). Let d = -19 - -19. Solve -j - 6 = -d*j - 5*i, t = j + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 12341*k**2 + 197709*k - 35. What is c(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:39 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28543 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (39 - (-41 + 42))) + 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1345215 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 7*a**2 - 2*a + 1. Let c(f) = 3*f**3 + 20*f**2 + 7*f - 2. Let y(g) = 3*c(g) + 8*z(g). Factor y(q).\nAnswer: (q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*w - 42, -2*w - 2*w + 5*a + 70 = 0. Let m = w + -30. What is the units digit of m\/(-2) + -1 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 224*i - 1256. Let d be h(6). Calculate the highest common factor of d and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19179*l**2 + 1 + 19179*l**2 + 253*l**3.\nAnswer: 253*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k + 65. Let m(x) = x + 6. Calculate 65*m(q) - 6*o(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqnrbt. What is prob of picking 1 r and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/108 and 95\/1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let j(n) = -n**3 + n**2 - 1. Let d(w) = -5*w**4 + 2*w**3 - 23*w**2 + 2. Let l(y) = q*j(y) + d(y). Find the third derivative of l(x) wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 135*c + 131*c + 14, 5*y - 2*c + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59423.\nAnswer: 7, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -2 - ((-20160)\/(-1400))\/((-28)\/(-40) + -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Suppose -3*h + 3*f = 2*h - 26, f = -2. Let c(d) = 3*d - h*d + 3 - 2*d + 2. Let q(p) = c(p) - 6*v(p). Find the first derivative of q(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/787 < -0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 703873483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*m*q**3 - m*q**2 - 927*m*q - m + 10*q**2 wrt q.\nAnswer: 174*m*q - 2*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1103?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 - 200*z - 292. Give o(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 - 12*a - 9. Let d be z(-8). Let p = d + 1195. What is p rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.6 + 32.9. What is the fourth biggest value in 2\/19, 5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 13324611.\nAnswer: 6662305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*22*(-8)\/8. Let r be ((-27)\/(-18))\/((-3)\/i). Let x be (-2)\/r - 138\/(-33). Solve d + 2 = x*j, j = 5*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849365.55 rounded to the nearest 10000?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673 + 12*c**3 - 673 + 2*c**3 + c**3 - 4*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6 - 14*o**3 + 1032*o + 2*o**2 - 1020*o + 44*o**3 - 6. Let f(b) = 12*b**3 + b**2 + 5*b - 5. Calculate -12*f(i) + 5*r(i).\nAnswer: 6*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 4 - 0) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(30)\/(sqrt(10) - (sqrt(20)*-5)\/sqrt(2))*-4 + 1*-5*(-4 + sqrt(432)))**2.\nAnswer: -8372*sqrt(3)\/3 + 34711\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, -2898, -28, 2 in descending order.\nAnswer: 2, -2, -3, -5, -28, -2898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/12 + k**3\/6 + 3*k**2. Calculate the remainder when 22 is divided by u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398 + -400. Calculate the remainder when 77 is divided by 2891\/98 + s\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 16. What is v(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76644.8298ns to weeks.\nAnswer: 0.0000000001267275625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(98*z**4 - 293*z**4 - 173*z**4).\nAnswer: 736*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 2\/3 (c) -2.3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-407280)\/(-3360) + ((-8)\/((-672)\/(-354)) - 20\/(-5))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32754135 and 3255?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -3\/2, -5, 2\/43, -2?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -25*k + 7. Let u be p(-4). Suppose -u = -5*o - 12. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*i - 3 = -100, 18*i - 72 = 4*f + 17*i for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 89*d**3 - 3*d**2 - 7*d + 10. What is the thousands digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:32 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 2 (c) -29 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 876, 868, 838, 774, 664, 496, 258, -62?\n\"Answer: -2*r**3 + r**2 + 3*r + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {c: 10, o: 4, l: 3, x: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10018929 is divided by 8377.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/609039 and 49\/338355?\nAnswer: 3045195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v - 87. Let n = -24 - v. Solve 5*p - 4*p = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016 - 51614.\nAnswer: -51613.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2261\/5 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010000 (base 2) to base 3.\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1240.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/104*64\/(-16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 430*g - 2605. Determine n(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1277 divided by 182.\nAnswer: -1277\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -19. Is u != 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 + 0)*-1. Suppose -7*g = -2087 + 2073. Let z be (-3)\/(g*30\/100). Sort i, -1, z in descending order.\nAnswer: i, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 310\/3. Let x be (1\/3)\/(4\/(-3)). Let r be (-14)\/7*(5 - 112\/32). What is the third biggest value in -0.4, x, u, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r**4 - 7*r**4 + 5*r**4)*(-2*r + 5*r - 4*r) + (1 - 1 - 2*r**2)*(-2*r + 2*r - 2*r**3).\nAnswer: -13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 264647.7885 to the nearest ten.\nAnswer: 264650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 65*h - 985. Give z(-63).\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -67362 to the nearest one hundred.\nAnswer: -67400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*t**3 + 2*t**4 + t**2 - 40*t**3 - t**3 + 2*t to k*t**4 + d + f*t**3 + m*t**2 + j*t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 4*g**2 + 3*g**2)*(0*g - g + 0*g) - 1 - g**3 + 1.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**2 - 21*f + 66. Let j(w) = -3*w**2 - 5*w + 16. Determine -2*b(p) + 9*j(p).\nAnswer: -p**2 - 3*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3023280, 6046572, 9069864, 12093156, 15116448, 18139740?\nAnswer: 21163032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 457*m**4\/4 + 308*m + 704. What is the derivative of b(f) wrt f?\nAnswer: 1371*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m - 5. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 - 8*u**2 + 50*u - 42. Let w be (-84)\/588 - (8\/(-7) + 2). Let d(t) = -t**3 - t - 1. Let r(p) = w*c(p) + 2*d(p). Find f, given that r(f) = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 73890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 55496 = -35704. Let s be f*(-4 - (-128)\/12). What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -208*n + 7. Let i(b) = -2*b. Give -5*i(p) - o(p).\nAnswer: 218*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 8. Calculate the lowest common multiple of 58 and b(12).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.3 (c) 3\/5 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**7\/280 - j**6\/30 + 16*j**3\/3 + 12. Let n(v) be the third derivative of f(v). What is the third derivative of n(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2 (b) 4 (c) -1\/12 (d) 96 (e) -5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8 - 19\/4)*3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 66*t - 1257. Let c be v(19). What is the smallest value in -0.5, -24, c?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168567.96 to the nearest 100.\nAnswer: 168600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1709595, 1709602, 1709611, 1709622?\n\"Answer: c**2 + 4*c + 1709590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 6 - 8, -5*c + 10 = 5*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 59. Let c(r) = 10*r. Give h(c(l)).\nAnswer: -30*l + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 2*f + 14. Suppose 470 = 5*p - 18*a + 21*a, -2*a - 376 = -4*p. What is the remainder when p is divided by g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2490 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6132615)\/20)\/(24\/240*(-15)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6069 is divided by 1516.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-3)*-4*54\/672. Factor m*x**2 + 6*x + 0.\nAnswer: 3*x*(x + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/3876 and -93\/110.\nAnswer: 213180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 - 1)*1. Suppose -47*p + 416 = 5*p. Let r be -3 + (1 - (m - p)). Put 5, 0, r in decreasing order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54633, -109271, -163903, -218523, -273125, -327703, -382251?\n\"Answer: p**3 - 3*p**2 - 54636*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704893475 rounded to the nearest 1000000?\nAnswer: 705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 3*v**2 - 5*v - 16. Let n be q(6). Let x be (-9)\/26 + n\/(-403). Which is the closest to -4? (a) 0.5 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*q + 2*q + 12. Let x(c) be the first derivative of -1\/8*c**4 + 13 - 1\/2*c**q - 3\/4*c**2 - 1\/2*c. Factor x(d).\nAnswer: -(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 - 5*b + 4. Let f be l(5). Let a be (-6)\/f*(-8)\/(-54). What is the closest to -0.1 in -1, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 divided by -24005?\nAnswer: -372\/4801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.98 + -1.2. Let i = o + 0.02. Which is the second biggest value? (a) 2\/13 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 2. Let w be r(-3). Let x be 12\/(0 + w\/(-1)). What is the greatest common divisor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10197 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -17*w + 72. Let j be (-124)\/(-7) - 4\/(-14). Let o(v) = v**3 + 2. Let k(l) = -4*l**3 - 9. Calculate j*o(f) + w*k(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/5 + 27*p**4\/5 - 81*p**3\/5 + 69*p**2\/5 + 72*p\/5 - 108\/5 = 0. Calculate p.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 742160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose u = 4*n + n + 19, 2*n = -4*u - 12. Put j, 1, u in descending order.\nAnswer: 1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1599 + 0.2599. Let f(u) = 2*u - 34. Let g be f(19). Which is the nearest to 49\/3? (a) g (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 131, -35 in increasing order.\nAnswer: -35, 9, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + 2*w)*(0*w**2 + 0*w**2 - 3*w**2)*(-3*w + w + w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (11 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -16. Is u*((-11)\/(-2) - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 + 38)*4\/10. Suppose -f*o = -4991 - 3029. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 * -133\nAnswer: 25403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l + 21. Suppose 5*g - 10 = l*u, g + 2 = 2*g. Solve u*w - w = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Suppose -5*u = -2*u - 4*l + 10, m*l - 22 = -u. Calculate the least common multiple of 7 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -15. Let c = r + -8. Suppose -4*h - j = -c*h + 29, 39 = 4*h - 3*j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = o, -4*z + 4*o - 6*o = -26. Suppose -j = -4*i - 164, j - 3*i + z = 168. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*d - 1835*d = 25389 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198117 to the power of 1\/2, to the nearest integer?\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(1 - 26\/22). Suppose 3*q + 5*p - 272 = 0, 8 = 3*p + 23. Calculate the greatest common divisor of q and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30772 + 49040. Calculate the remainder when d is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3361 (b) -4 (c) 1 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*m**3 + 22798*m**2 - 11*m + 27481.\nAnswer: -72*m + 45596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-12.66\nAnswer: 2.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.17 - 3.17. Let o = -6 - -1. Let w = 0.6 - 0.2. What is the nearest to 0.4 in p, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a + 20. Let w be n(8). Let r be 4 + 90\/(-21) - w\/28. Suppose -2*p - r = -h + 1, 3*p + 1 = h. What is the highest common factor of p and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 - (-4 - (-4)\/2). Let j = f + 25. Solve -5*z = -j - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*l + 5 = 0, l = -5*k + 2*l + 25. Solve 2*w**3 + 2*w**2 - 14 - 2*w**k + 10 + 4 - 2*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-2*(-7)\/105?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155759170?\nAnswer: 2, 5, 7, 101, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214\/5 or 43?\nAnswer: 214\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103241133 + -1?\nAnswer: -103241134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6901 and 1452225.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3166.09 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) 0.5 (c) 1\/14 (d) 8.555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - ((-58163)\/588 + (-297)\/108)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -0.22944. Round u to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3032, -11330, -24890, -43712, -67796, -97142?\nAnswer: -131750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100011100011110000 (base 2) to base 4.\nAnswer: -21203203300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111001111000101 - -10?\nAnswer: 11000111001111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23448741312 take away 5?\nAnswer: -23448741317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48642 and 2418834?\nAnswer: 26607174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 150, 348, 574, 798?\n\"Answer: -5*z**3 + 59*z**2 - 2*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 72. Suppose 29 = 5*p + 4*o, -3*p = 2*p - o - v. Solve -r - p = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((-7 - 11) + -16) - (-3 - 12).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(25) + sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(5))**2 - (sqrt(5) - (-3 + (-2*sqrt(5) - sqrt(5))))**2 - (4 + sqrt(125) + -1).\nAnswer: -29*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38062115 + -0.4.\nAnswer: -0.78062115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*a + 19785, -11192 = -4*a + d + 4625. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106089328 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700541*d**5 + 6*d**2 + 249*d + 566.\nAnswer: -42032460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71996, -143981, -215966, -287951?\n\"Answer: -71985*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 1 + 1)*(0 - 2 + 1) + 4*i - 4*i - i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29a28 + -a7?\nAnswer: -29ad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54677 and 3285.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 3230437714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -98, -399, -898, -1601, -2514, -3643?\n\"Answer: -a**3 - 93*a**2 - 15*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -0.2, 22, 5446\/9, 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - -10 - 27 - -6 - (2 + 7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 3468626?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 - -266. Let t(r) = r**2 + 4. What is t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1091223*p**2 - 20 + 2*p - 5 + 1091219*p**2 - p**4 as b*p + z*p**2 + h*p**4 + n*p**3 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.809 - 0.109. Let m = b - 0.3. Which is smaller: m or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000002 (base 3) to base 2\nAnswer: -111000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (1 + -4))\/2. Put r, 2\/11, 0.4 in descending order.\nAnswer: r, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1006\/(-6) - 6\/(-9). Let q = 237 + g. Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**4\/4 - 14*d**3\/3 + 5*d**2. What are the prime factors of k(-7)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 - 77*l**2 + 46*l - 109. Determine y(15).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 5, y: 2}. Give prob of picking 1 y, 1 g, and 2 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 340*y + 343*y + 44 = 0, 5*y + 61 = 3*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36692.5919 + -36741.6. Let h = -49 - q. Round h to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6214 + 683549\/110. Find the common denominator of 1000\/528*((-148)\/330 - (-10)\/55) and y.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.21 - 3.69. Let u = t + 29. Sort 0.4, u, 1, 2 in decreasing order.\nAnswer: 2, 1, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26739 + 10626.\nAnswer: -16113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 985, 3579, 7787, 13609, 21045?\nAnswer: 30095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(288))\/sqrt(6))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 divided by -59?\nAnswer: 724\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlnwpnvwwvne. Give prob of sequence vlwn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(-2) - -1) + 4. Let z = 3.4 + -3. Put z, 1\/3, h in decreasing order.\nAnswer: z, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49629.16 minutes to milliseconds.\nAnswer: 2977749600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7354, 10511, 13668, 16825, 19982?\nAnswer: 23139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*o + o - 25, 5 = -5*z. Solve -d + o = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - 4*c - 13, 3*i - 3*c = 21. Let f be (-1)\/(-2) - 1*(-18)\/4. Put i, -4, f in descending order.\nAnswer: f, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922225640 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (7 - -1) - 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73310 - 112.\nAnswer: -73422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/2 + v**2\/2 + 3*v. What is the units digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -62. Solve -6 = -5*l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - 3*y + 3*y + (-1 + 0 + 0)*(0*y + 3*y - y) + y - 5*y - 2*y)*(-17 + 17 + 4*y) to z + j*y + d*y**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 14*x**2 - 5*x + 76. Determine p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 - 1\/32*a**4 + 1\/960*a**6 + 0*a**2 - 9*a + 8\/3*a**3 - 1\/320*a**5. Let g(x) be the second derivative of d(x). Factor g(p).\nAnswer: 3*(p - 2)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130631*l**3 + 130631*l**3 - 790*l**4)*(-5*l + 3*l - 5*l) + (-3*l**3 - 4*l**3 + 6*l**3)*(-2*l**2 + l**2 - l**2).\nAnswer: 5532*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -247*f**2*t + 5*f**2 - 10*f*t + 840*f wrt t?\nAnswer: -247*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 11827*r**2 - 59197*r - 71022 = 0. Calculate r.\nAnswer: -11837\/2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7207590 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815911875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 4*a + 34 = 8*t, -5*t - 5*a = -10. Let x(p) be the second derivative of -3*p**2 - t*p + 1\/6*p**3 + 0. Differentiate x(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3180 + 9538\/3. Which is the closest to -100\/3? (a) j (b) 5 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 - -0.52. Let v = l + -0.8. What is the second biggest value in -4, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43636860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9635 + 9635.5. Put 11, w, -28 in decreasing order.\nAnswer: 11, w, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -0.3, 2\/3 in increasing order.\nAnswer: -0.3, 2\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + -23 - -10 - (-17 - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -64\/5*m - 32\/15*m**3 - 1\/5*m**4 - 8*m**2 - 18. Let k(b) = 0. Calculate b.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33834 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(40 - 40 - 2*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Let i(j) = -3*j. Determine -5*b(y) + 8*i(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 12. Let k = s - -18. Which is the smallest value? (a) 5\/4 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-4))\/((-1131)\/52*-1) and (2 - 3) + 98\/10.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25056439 to the power of 1\/2, to the nearest integer?\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/297 or -1?\nAnswer: 4\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/306 and -139\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*3 + -4 - (sqrt(35)\/sqrt(5) + -3 + 4*sqrt(28)\/sqrt(4)))**2.\nAnswer: -38*sqrt(7) + 2528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*k)*(29 + 34 - 60 + 55*k) to y*k**2 + j + z*k and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-1*sqrt(1296)) - (sqrt(8)\/sqrt(2)*3)\/sqrt(2)) + -3.\nAnswer: -37*sqrt(2)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1679 + 26843\/16. What is the common denominator of 67\/56 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2190 - 1158. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by -70*(0 + -10 + 6)\/(28\/24).\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let w be (-8)\/33 + (-3)\/(-9). Let t = -3 - -3. Which is the third biggest value? (a) t (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 6 + 14 + 5*m**2 + 26*m**3 to n*m + u*m**2 + q*m**3 + y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4 = 3*u + 13, -3*z = -3*u + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-1)\/(-1))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072004 rounded to three dps?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 + 448\/3. Which is the nearest to 1? (a) q (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*b**2 + 666*b**2 - 3701*b**2 + 717*b**2 + 763*b**2 + 684*b**2.\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 22036*z**2\/9.\nAnswer: 2*z**2*(z - 11018)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 7, b: 3, k: 2, h: 5}. What is prob of picking 2 b?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:58 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57529 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3536, 15, -482 in increasing order.\nAnswer: -482, -4, 15, 3536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**7\/840 - 19*s**6\/360 + 8*s**5\/15 - 5*s**4\/2 + 22*s**3\/3 + 77*s**2. Let r(v) be the first derivative of u(v). Factor r(f).\nAnswer: (f - 15)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from kfkfokkkffk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1250)\/(-1000))\/((-25)\/(-2)) - (164\/440 - 0)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 53\/((-48336)\/18297) + (2 - -18)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5644187 to the power of 1\/2, to the nearest integer?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 5. Let r be t(0). Suppose 3*h - 546 = 3*v, 4*h + 2*v = h + 521. Let k(i) = h - 90 + 2*i + 2*i - 90 - i**2. What is k(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + -1.6. What is the biggest value in -1, h, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499565.\nAnswer: 5, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, -68, -205, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose -2*z + t*z = q + 80001, 2*z = -3*q + 79997. Round z to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/((-3)\/(-5)))\/(-1). Let b(l) = -l**2 - 12*l. Let f be b(-12). Put d, f, -5 in descending order.\nAnswer: d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16646458614 less than -27?\nAnswer: 16646458587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 441763 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m + 12. What are the prime factors of w(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:06 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2766, 2764, 2762, 2760?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -38\/311 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(270) + (sqrt(270)*3 - sqrt(270)) + sqrt(270) - sqrt(270))*-2)\/((sqrt(24)\/sqrt(2))\/sqrt(2))*4.\nAnswer: -72*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11.5 (b) -0.9 (c) -2 (d) 69 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -1. Let z(x) be the second derivative of -2*x**3\/3 - 3*x**2 + 8*x. Let b(d) = 1 + d + d - d. What is s*b(g) - z(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, m: 3, s: 1, f: 1}. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200330 by -10.\nAnswer: 20033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 50 = 102. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v - 24. Let y be q(7). Suppose y*g - 3 = -39. Let s be 3\/5*(-3)\/g. Which is greater: -1\/14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:52 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 4, -2, 5, -26 in decreasing order.\nAnswer: 15, 5, 4, 2, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o - 4. Let c be z(6). Suppose 10*m - 100 = 5*m + 5*n, 3*m - 36 = -3*n. Let i be (-5)\/2*m\/c. Solve 2*y + 10 = 4*f, -3*f + 27 = i*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9658315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**2 - 103133900*s + 103133916.\nAnswer: -4*(s - 1)*(4*s + 25783479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*y + 720 = -150*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4052331ng in kilograms?\nAnswer: 0.0000000000004052331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.27 - -0.27. What is the closest to r in -1, -0.3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-21))\/1*(-12)\/(-210)*357.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 79 + 5. Suppose 0 = 75*y - 68*y - p. Solve 6*j = y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-9))\/s)\/s**5)\/(s*s**(-1\/11)*s**(-21)*s) assuming s is positive.\nAnswer: s**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 121*i**2 - 1616*i + 2674. What is w(133)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -155.7\nAnswer: 46.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let c be y\/(-4) - 4\/16. Suppose 4*r = -c*r + 396. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, f: 4, x: 2, t: 1}. What is prob of picking 2 i and 1 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.158701 millennia?\nAnswer: 109904.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + -6106.984732766.\nAnswer: -6107.114732766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/((h**(2\/23)\/h*h)\/h)*h)\/h)\/(h*h**(-6)))**(-30) assuming h is positive.\nAnswer: h**(-5460\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.1 plus 105433432567?\nAnswer: 105433432616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -140. Suppose 4*c - y = -c. What is the smallest common multiple of 18 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.1 - 17\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13282\/(-23358))\/(377\/(-39)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 3. Let m be 26\/(-39) + 11\/(-6). What is the closest to -1 in m, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 10*v - 8. Let k be x(-8). Let f = k + -11. Let l = 0 - f. Solve t = -g - t - 3, l*g + t = -14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 30 + 20 + -19 + 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 4*v**3 + 0*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0*w + 1\/6*w**3 - 1\/24*w**4 - 2*w**2 + 0. Let k(v) = 10*v - 10. Calculate 2*k(z) + 22*l(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16534 or 4\/1013?\nAnswer: -16534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = c - 6*a - 46, -c + 2*a + 31 = 0. What is the highest common factor of 5 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4925.0087 + -4925. What is r rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:07 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -5 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t**2 + 121*t - 44. Give a(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v)*(-4*v**2 + 3*v**2 - v**2) + 2*v**3 - 8*v**3 + 58*v**3 + (-5*v**2 + 3 - 3)*(-6*v + 4*v - 2*v).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 14*r**2 - r + 7. Suppose 0 = 18*k - 5*k + 91. Let p be o(k). Which is the biggest value? (a) 4\/5 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 22. Sort 5, r, 10 in decreasing order.\nAnswer: 10, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17329199722 and 0.0091.\nAnswer: -17329199721.9909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 1 + 2 + (-2*sqrt(72) + 3)**2.\nAnswer: -66*sqrt(2) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83473763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 5}. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i - 10. Let v be r(-7). Suppose -v = -3*f - 2*f. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1111322?\nAnswer: -1111323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 453 = -441. Is 6 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97907455 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5181360 and 12953400?\nAnswer: 25906800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 584190.235 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 + 161*i**2 - 20*i**2.\nAnswer: 127*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 7*w**2 + 3*w**3 - w**3 + w**2 - 11*w in the form y + j*w**3 + r*w + l*w**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 51746*q - 25872.\nAnswer: -2*(q + 12936)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 26*k**2 + 294 - 12*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t**3 + 1\/90*t**4 + 1\/450*t**5 - 1\/1575*t**7 + 1\/2520*t**8 + 0*t + 0 - 2*t**2 - 1\/300*t**6. Suppose a(q) = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 2*s**4 + 0*s**4)*(3 - 6 + 1) - 136*s**2 + 136*s**2 - 3*s**4 - 4.\nAnswer: -s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, 3*j + c - 23 = -j. Let l(i) = -i**3 + 5*i**2 + 9*i - 7. Calculate l(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:24 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (12 - 6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1502 + 1509 - (-70 + 4 + -1 + -2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n + 65*n + 10442 + 630 = 0. Is -37 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/30 + 8532*x**2. Let b(d) = 238*d**2. Calculate z(b(w)).\nAnswer: 113288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48)\/(sqrt(12)\/sqrt(3)))\/(-2*sqrt(36) + sqrt(28)\/(sqrt(7) - -1*sqrt(7))) + 0.\nAnswer: -4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4785626 divided by 5\nAnswer: -4785626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*z - 20 = 0. Let o be (6\/(-2) - z) + 0. What is the units digit of 8 - (o - -1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r + 8. Suppose 20 = 4*c + r*u, -5*c + 23 = -2*u - 9. What is the remainder when 6 + -6 - 5 - (3 + -84) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(10\/45*36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -31*g + 1. Let t be y(-3). Let l = t - 80. Calculate the remainder when 54 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 533*t + 12066. What is f(25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 1. Let u(w) = -10*w + 347. Calculate 4*p(h) + u(h).\nAnswer: 2*h + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*x = 12, d - 3 = -2*x + 5. Let h = -544309\/17 - -32019. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874971402 to the power of 1\/2, to the nearest integer?\nAnswer: 69821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*w - 47 = 0, 2*t + 3*w - 107 = -2*t. Calculate the remainder when t is divided by 2 + 0 + 5 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1487 + 1499. Solve 12*i - 24 - q = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - -44. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b - 112*b = -1190. List the prime factors of b.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117 - 0?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 - 15*d**2 - 3*d**2 + 31*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = u - 24, 0 = -3*u - 3*k + 5*k + 48. What is the least common multiple of u and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = -4*f, -3*f - y + 8 = 0. Let i be (-27)\/(-12) - (-2)\/(-8). What is the second derivative of s - f*s**5 + 2*s - 2*s + i*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.8, -3, 19, -0.15 in decreasing order.\nAnswer: 19, -0.15, -3, -20.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 0.9. What is the biggest value in v, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (386*-1)\/(-2) + 3. Let f = -106 + w. What is the highest common factor of f and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:43 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, 5\/3, -8.6.\nAnswer: -8.6, -4, 1, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*p - 4190, 4*p - 10 = -26. What are the prime factors of d?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/3 + 472*f**4\/3 - 3746*f**3 + 29420*f**2\/3 + 1912*f\/3 - 13072 = 0.\nAnswer: -258, -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026207305 to five dps.\nAnswer: -0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 5*c + 7*u, 6 = 5*c + u. Suppose c*l = -4*t, 2*t - 10 = -4*l + 4*t. Let b be 1*-4 - (-116)\/24. Put 3, l, b in ascending order.\nAnswer: b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2. Let d(b) = -22*b + 8. Determine o(d(l)).\nAnswer: -1936*l**2 + 1408*l - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 21*r = -6. Suppose 5*k + 0*u = r*u + 15, -4*u - 20 = 0. Solve -2 + k = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 2*i - 83 - 47 + 181.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-6)\/4 + -1. Suppose -5*x + 10 = -m, -7 = l*x - 3*m + 2. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s - 3. Does 5 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69403.61 years?\nAnswer: 832843.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 + (-7)\/(-84)*25. Let i(y) be the first derivative of 0*y**4 + 0*y**3 - 1\/10*y**5 + 4 + 0*y**2 - c*y**6 + 0*y. Suppose i(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + 208.84. Let s = v - 204.08. Let f = s + 0.08. What is the nearest to -0.1 in 1, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 7*t + 300 = -2*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-2)\/6)\/((-29)\/((-39672)\/(-48))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/14 and -34574679 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) + 2\/(-7). Suppose 2*g = 415 + 21. Suppose -221*p + g*p = -9. Solve d = -z - p*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**2 + 67*i - 21. List the prime factors of k(-9).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/5 greater than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113404 or -113401?\nAnswer: -113401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkyuzbx. Give prob of sequence zy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7814 at least -2617292\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1101950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1078)\/77*2\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 9. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c - 38 - 4*c**2 + 22 - 7*c.\nAnswer: -4*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + 8 + (1364 - 3) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**5\/60 + l**4\/6 + l**3\/2 - 3*l**2\/2 + 4. Let y(n) be the second derivative of b(n). Determine y(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/6*126\/(-84). Let b be 2\/(-4)*-2 - 1. Solve 4*o + b - y = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, 0.1, -4, 81 in decreasing order.\nAnswer: 81, 0.1, 0, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*r**5 + 437*r**3 - 437*r**3 + (7*r**3 - 10*r**5 - 7*r**3)*(97 - 26 - 37).\nAnswer: -303*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 15*d + 360. Calculate the remainder when 67 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 4. Let z(q) = 9*q - 8. Let t(m) = -11*v(m) - 6*z(m). Let h be t(-4). What are the prime factors of 4\/4 - (-1 + h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -5, 494.\nAnswer: -46, -5, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:56 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*z - 2, -3*z + 6 = -w + 2*z. What is the second derivative of -13*n**4 - w*n**4 + 8*n**4 - n wrt n?\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (16 + (5 + 0 - (26 - 25 - 50)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/13, 3.4, -1\/6, 3\/125?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1340275*o**2 + 40*o - 99. Let r be d(19). Let y be r\/288 - 4\/(-18). Round y to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:25 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = 53*o - 11. Let w(l) = 2*l**3 - l**2 + 2*l + 2. Let k be w(-2). Let d be 1\/2 + 19\/k. Is o at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-12) + 1 + (-21)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122243 (base 6) to base 2.\nAnswer: 10101010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v. Let b(x) = -4*x - 3. Let i(c) = 5*c + 2. Let n(j) = 2*b(j) + 3*i(j). Calculate f(n(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*52191\nAnswer: 521.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39259 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 285, 2, 0 in ascending order.\nAnswer: 0, 2, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2123?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28539646.7 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1518 and 6.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 693, 951, 1209, 1467?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 0 - ((3 - 7 - 4) + -15))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9)*(2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**5\/x*x)\/(x*x\/x**(-5)) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 7*u - 4*u + 5*r, -3*r + 15 = 0. Let q = -81 - u. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2163 and 3003?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427 and 23119.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krj when three letters picked without replacement from krj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - -4 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/20))\/(((s*s**(-25))\/s)\/s))\/(s**19*s*s*(s**(-5\/3)\/s)\/s) assuming s is positive.\nAnswer: s**(589\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -10460, -4.\nAnswer: -10460, -12, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 764, 755, 734, 695, 632, 539?\n\"Answer: -g**3 - 2*g + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5384)\/14806*(2\/3)\/(12\/54).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:53 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.052 + 0.152. Which is smaller: 41 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 9*n**2 + 11*n + 14. Let p be s(-10). Suppose -9 - 3 = p*o, 4*o = 4*q + 35532. Is 2\/((-4)\/3)*q\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*y + 5*t + 8, -10 = 5*t. Suppose -5*h - 25 = 0, 2*n - 26 = -n + y*h. Solve n*m - 3*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**4 + 1900*s**3 + 44288*s**2 - 319408*s + 446400 = 0.\nAnswer: -450, -31, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r. Suppose 0 = -2*i - 6*s + 2*s + 12, r = 4*i - 4*s + 12. Does 11 divide -1 + 16 + (i - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 13013.13ug?\nAnswer: 0.00000001301313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from rrgzgrrozgrzr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51093 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405) + 0.\nAnswer: -2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9439, -37680, -84759, -150688, -235479, -339144?\nAnswer: -461695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953624 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: Let p(q) = q**3 - 3*q**2 - q + 2. Give p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - g + 3, 5*z - 14 = g + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -16*f**2 - 2300*f + 576 = 0.\nAnswer: -144, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*(sqrt(245) + 0) - ((sqrt(245) - (0 + sqrt(245))) + sqrt(245))*-5) + 0)**2.\nAnswer: 112*sqrt(5) + 15681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1482 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + ((-6)\/(-14) - (-104)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z + 0 - 5\/6*z**3 - 2*z**2 - 1\/24*z**4. Let f be (5\/10)\/((-2)\/(-16)). Determine c(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14385357 or -14385387?\nAnswer: -14385357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/35 + 5*p**4\/14 - 3*p**3\/7 - 26*p**2\/7 - 32*p\/7 + 1044. Determine w so that s(w) = 0.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(1573) + (sqrt(1573) - -3*sqrt(1573))*6 - (-5*sqrt(1573)*2 + 1*sqrt(1573)*2))**2 + -2)*-1.\nAnswer: -2774770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 205859914 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*q - 54 - 0, 2*q = -2*m - 26. Let w = -1 - 1. What is the remainder when (-262)\/m + w\/(-7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**6\/72 - 3*w**5\/20 + w**4\/3 + 95*w**3\/3 - 211. Let s(m) be the third derivative of c(m). Let s(n) = 0. Calculate n.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -0.08, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -11\/955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 39351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s**2. Let h(j) = 16*j**2. Let m(x) = 5*h(x) - 7*l(x). Let f(r) = -24*r - 32*r - 21*r + 76*r. What is m(f(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(20)\/sqrt(4)*-3)**2 - ((2*sqrt(2160))\/(sqrt(12) + sqrt(12) + sqrt(120)\/(sqrt(10) + sqrt(40)\/sqrt(4))))**2) + 1.\nAnswer: -221\/5 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*g = 157, -841 = 5*o + g + 3*g. Let k = -46 - -32. Let p be 4\/k*(-11)\/o. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.0178 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l + 131. List the prime factors of m(-15).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -c - r - 9, 5*r + 15 = -4*c. Let b = c - -20. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.4423 micrometers to kilometers.\nAnswer: 0.0000003564423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 2. Suppose 2*g = 3*t + v, -t + 12 = 2*g - 4. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = -9. Let o(l) = 4*l**2 - 4*l - q*l**2 - l + 2*l + 5. Suppose -5*v = 3*z - 5, 4*v - 5*z - 21 = 5*v. What is o(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21384027 and 1.2.\nAnswer: -25660832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15155000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23825, 23827, 23829, 23831?\nAnswer: 23833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/2 - 322*d**2 + 76531*d\/2 + 746028 = 0. What is d?\nAnswer: -17, 184, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -0.5, 48, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 6)*(-156)\/10. Let h = b + -36. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by (1 - -23)\/(33\/55)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r - 1. Let g(c) = c**2 - c + 4. Let f be g(-4). Let t = -25 + f. Calculate the remainder when 67 is divided by i(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + 1. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.5755g in milligrams?\nAnswer: 492575.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2610625 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 404 or 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 122.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 52. Solve -4*n + 0*q = 3*q + 24, 4*n - g*q - 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011111101 - -100100111110010?\nAnswer: 1011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Let x(g) = 3 - d + 6 + 13*g. Let s be x(3). What is the highest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 866 (b) -0.5 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(13\/(-1001)*7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80, 38, -62, -250, -556, -1010?\n\"Answer: -5*w**3 + w**2 - 10*w + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1376262 divided by 1376262\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 15, -1872, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*t, 18*h = 14*h - 4*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxkpavyp. What is prob of sequence apvp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - 2 - 1 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.6? (a) 9 (b) 3 (c) 2\/5 (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 18 + 17181 = 0. What is the greatest common factor of n and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 2*k**4\/3 + 130*k**2 - 2. Let d(q) = q**2 - 14*q. What is d(b(z))?\nAnswer: 256*z**2 - 224*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:15 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**2 + 2*i - 5. What are the prime factors of y(-8)?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 10. Let k be f\/(1\/(10\/(-4))). Suppose -2*n - 10 = 0, q = n - k*n - 25. Which is the closest to -1\/3? (a) -0.4 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838 = 42*s - 334 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10351 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3170 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 6*p**2 - 18*p - 20. What is r(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -7*t + 27, 5*t - 3*t - 18 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -0.009, -1\/8, 0.09?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 17283.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/12 + 2*t**3\/3 + 2*t**2 + 5*t. Determine r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -129549 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u + 3*u + (-4*u + 2*u + 3*u)*(-3 + 1 + 1))*(65 + 23 - 186) + 4*u - u + 0*u to h + x*u and give x.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41590 + 9948. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jxfjjxxxxqtjqfxxjj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + (-1622)\/198 + (-56)\/126 and -103\/86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 34 + 5*l**2)*(-8 - 11 + 2 + (0 - 1 + 0)*(-2 + 2 - 2)).\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 327515724, 327515729, 327515734, 327515739?\n\"Answer: 5*l + 327515719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 161 = 62*u - 307 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-30)\/(-3)))\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8268 and 3900?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157 - -2?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.762 to 1 dp.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28146 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38528448 and 528.\nAnswer: 423812928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4318 divided by -658\nAnswer: -2159\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399 + 4.8875?\nAnswer: -2394.1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {y: 16, x: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222.7287353 - 3.\nAnswer: 219.7287353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15290993 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -57, -96, -135, -174?\n\"Answer: -39*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -1, -4492, 7, -5, 4 in increasing order.\nAnswer: -4492, -5, -1, 4, 7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d)**(-2\/35)*d*d**(-3)\/d*d*d\/d**4*d)\/((d**1)**(9\/2)\/((d\/(d*d*d**(1\/3)*d))\/d**(-2))) assuming d is positive.\nAnswer: d**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93c7a (base 14) to base 13.\nAnswer: -c6312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*x - 2218 + 682 = 0, 0 = -5*t - 2*x + 1920. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/13))**(4\/7)*(r**(2\/7)*r)**(4\/17) assuming r is positive.\nAnswer: r**(1488\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100000110100011001100?\nAnswer: 100000110100011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.8837 - -0.0163. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 29*h + 165. Determine w(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -369.3 + 370. Let v = -35 + 20. Let d = v - -77\/5. Sort o, d, 1\/3 in decreasing order.\nAnswer: o, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263240 + -1046?\nAnswer: 262161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:03 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6778 - 6737. Calculate the least common multiple of u and 2952.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-4)\/(-561) + 2\/(-17)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = j + 3*v, -64 = 2*j + 2*v + 10. Let p = -30 - j. Let l be (p + -1 + -4 - -2) + -1. Solve 3 = 3*m - l*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*a + 1)*(-49 + 49 - 5*a)*(7 - 2 - 3)*(11 + 9*a - 11).\nAnswer: 270*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 0*v + 85 = 93*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9150717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o**2 + 0*o - 4 + 2\/9*o**3 - 1\/2*o**4 + 7\/36*o**6 - 3\/10*o**5. Find r, given that a(r) = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463 and 65.928.\nAnswer: 30524.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 74, 182, 336, 536, 782, 1074?\n\"Answer: 23*j**2 - 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -0*y + 5*i, 2*y - 5*i = 27. What is the lowest common multiple of y and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -208, -408, -598, -778, -948, -1108?\n\"Answer: 5*u**2 - 215*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 12. Let n = 73 - 65. Let i be j(n). Suppose 7*b = 3*b + i. Let o(x) = -22*x + 10. Let p(h) = -7*h + 3. Determine b*o(k) - 16*p(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:58 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878501 is divided by 6972?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 36 = -2*v. Let p be (18 - (11 - 4)) + 79. Does 10 divide (p\/v)\/(1 + 14\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/4)\/(15\/80). Suppose 4*h + j + 96 = 0. Find the common denominator of (-14)\/49 + h\/280 and -137\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 151841853 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267774705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/34672 and -69\/3709904.\nAnswer: 3709904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.25 - -1.55. Let y = k - -10. Let x be (-7)\/(-3)*3 + -4. What is the nearest to -0.1 in 1, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*f = -70, 3*f - 65 = -6*y + y. Solve -2*x = -3*x - 5*b + y, 3*b = x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:54 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311313 - -13?\nAnswer: -311300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*f - 63 + 223, -5*z = f - 32. What is the highest common factor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let b = -1.99993 - r. What is b rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 5417465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 589 + -184. Suppose l = d + 2*y, 0*y - 1607 = -4*d + 5*y. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 10 (c) 19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*s = 2*s + 108, -6 = -3*s. Let q be 0 + -2 - (w + 1). Suppose 5*b - 20 = q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30180 (base 12) to base 14.\nAnswer: 18a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91989 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - b - 31, -5*c + 2*b = -53. Suppose -85 = 26*m - c*m. Sort m, 0, -12.\nAnswer: -12, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:12 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/8616664 and 83\/2416.\nAnswer: 17233328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 + 330124*w**2 - 27240511309*w - 817512477870 = 0.\nAnswer: -30, 165077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -23*d. Let i(u) = 2*u. Give i(r(x)).\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1501*d - 12015. Let j be g(-8). Which is greater: j or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16337002 is divided by 24025.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m - 3. Let x be d(8). Suppose -x*f + 20 = -f. Suppose -2*r + 4*c = -f*r + 34, -r - c + 11 = 0. Solve 0*n + 2*n - r = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/15 - (8\/2)\/20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + d + 2 = 1, 0 = -4*d + 20. Let p(c) = 7*c**2 + c - 1. Let u be p(1). Suppose u*o - 10*o + 36 = 0. Calculate the highest common factor of o and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186*y - 8*a - 96 = 595*y + 595*y, -4*a + 45 = 4*y + 121 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343070808 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 3 - 26 - 3 - 2*l to v + x*l**2 + n*l**3 + g*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in -0.9, -0.3, -1, -3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13684 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*m + 59 = -3*n, 3*m = n - 15. Let b = 39 - n. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 3)\/(-2) + 6. Let b be 2\/m - 7\/3. Let l(q) = -q + 1. Let v(c) = -39 - 2*c + 3*c + 39. Determine b*l(x) + v(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d**2 - 20*d**2 - 18*d**2 - 19*d**2 - 16*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17)*1)**2 + 1 + sqrt(34)\/sqrt(2)*-4.\nAnswer: -4*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59954551*t**5 - 346*t - 24079.\nAnswer: -1199091020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6109197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149\/(-447)*(4\/(-6))\/(4\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/11 greater than -2934.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = -117 - 23 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4 - 489*u**3 + 63263*u**2 - 834951*u - 898704 = 0.\nAnswer: -1, 16, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -2b2881?\nAnswer: -2b2886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*o = 27*o - 105258. What are the prime factors of o?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 3. Let x be k(-4). Let m be -8 + (2 - 6 - (-406)\/35). What is the nearest to -8 in 1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/24*-186 + 6\/(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -615038 or -616130?\nAnswer: -616130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by -122\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115937\/119 - 16560\/17. Factor 4\/7*p + z*p**2 + 4\/7.\nAnswer: (p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-18 + -5 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -594754*c**3 - 495*c**2 + 427 wrt c.\nAnswer: -3568524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-5) - (-2)\/(-10). Suppose 3*s + 1 = -i, l*i - 3*s - s = 12. Suppose 2*y + 2 = 0, 0*y + 3 = -a - i*y. Sort 5, a, 3 in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b44a9 (base 12) to base 2\nAnswer: -111001100011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7300 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52682280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20300332103 (base 4) to base 13\nAnswer: 625b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 4) in base 14?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 566549 = 3*w, -755357 = -4*w + 21*d - 24*d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36 + -41)*(-4)\/10. Let h(i) = -22. Let o(y) = 7. Let g(x) = 5*h(x) + 16*o(x). Let w(n) = -n**2 + 4*n - 5*n + 1 - 4. Calculate r*w(l) + 3*g(l).\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12)*w*w**(8\/3)*((w\/w**(-2))\/w*w)**12)**(-20\/7))**(-43) assuming w is positive.\nAnswer: w**(71380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-160)\/(-144)*66\/220\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (16 + -6)) + (10 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/9, 19109, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -0.25. Suppose 19*v - 8 = 11. What is the closest to v in -0.4, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703 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 hundreds digit of 5029077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1330)\/(-40)*(-2 + 6). Suppose u - 136 = -j. Suppose 2*l = -5*m + 7, 0 = -j*l - l + 4*m + 28. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i + 2*m, 4*i = 4*m - 9*m - 20. What is the third derivative of 8*z**3 + i*z**2 + z**2 + z**2 + z**2 wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.98 + 1968566\nAnswer: 1968559.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47345, 94681, 142017, 189353?\n\"Answer: 47336*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128778 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)**(-25\/2))**(2\/57)*(x**(-1))**(27\/7)*(x*x*x\/x**(-1\/2)*x)**9 assuming x is positive.\nAnswer: x**(28541\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8389177 weeks in nanoseconds?\nAnswer: 507377424960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4, -18*q - 39 = -20*q + 3*w. What is the remainder when 593 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:02 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:40 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(2 + (-15)\/6). Let s(o) be the third derivative of -2*o**2 - 1\/20*o**5 - 1\/24*o**4 + 0*o + 0 + 0*o**a. What is the second derivative of s(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*-8*(-5)\/30. Suppose -3*h + 5*y - 5 = 11, -h = -z*y + 7. Solve -6*f = -2*f - h*x - 6, -5*x = 5*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8472 by 67104.\nAnswer: -353\/2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60626?\nAnswer: 2, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17844637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129272\/(-29380)*185\/11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111100 (base 2) to base 14.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnfnffffn. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067 to four decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46978705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 667*l*u**5 + 5*l*u**4 + 2*l*u**2 - l*u - 2*u**4 + 2*u**2 - 3300 wrt u.\nAnswer: 40020*l*u**2 + 120*l*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137314 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + (0 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*-3*3\/27*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2128 - -6392\/3. Let c(m) be the first derivative of -2*m + 14 + 0*m**2 + f*m**3. Find the first derivative of c(l) wrt l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 163*d**2 + 116*d**2 + 10*d**2 - 3*d + 106*d**2 to the form n + j*d**2 + a*d and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cce + 1?\nAnswer: 1cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.113 + 120.113. Let o = v - 121. Which is the closest to 1? (a) o (b) -0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4280.20692 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*2)\/(sqrt(810) - (1*sqrt(810) + sqrt(810))).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 295, 302, 315?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(63)\/sqrt(9)) - sqrt(22))\/((sqrt(8) - (sqrt(8)*2 + sqrt(8)))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -100, -123, -166, -235, -336, -475?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -227, -218, -203, -182, -155, -122?\n\"Answer: 3*a**2 - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 108 = 2*p. Let w = p - 8. Let u = w + -20. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/70 and -83\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/40 - d**4\/12 - d**3\/6 - 2*d. Let o(m) be the second derivative of r(m). What is the first derivative of o(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 42111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 4 = -3*t. Let o be (-4)\/(-14) + t\/7. Let q be (-1014)\/(-390) + (-6)\/10. Which is the closest to o? (a) 0 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-161)*(-14)\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 166 - 37 = -4*t, -2*t + q = -97. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*o = -202, 3*o - 10 = -y + 34. What is the remainder when 63 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417557 is divided by 1463.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471128443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3*x*x\/(x*x**(-16)))\/((x\/(x\/(((x*x**1)\/x)\/x)))\/((x\/x**(-1\/3)*x)\/x*x)))**(-41) assuming x is positive.\nAnswer: x**(-2870\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((1 - -4) + -5 + -3) - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 18060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*w + 972 = -1268 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37591306 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 800.159.\nAnswer: 799.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3 + 0 + 3*o + 0 + o**2. Suppose 2*x + 3 = x. What are the prime factors of a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = -2*b - 2*b. Solve b = -0*z + 4*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2735\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 324 + -257. What is the remainder when n is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -692 in decreasing order.\nAnswer: 0, -5, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.88 + -0.12. Let f = 1.15 - 0.05. Let n = 4.1 - f. What is the biggest value in -0.5, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 49 + 29 = 0. Let r = -1 - d. Suppose -r*w - 2*h + 35 = 0, 4*w - h = 2*w + 14. Solve 4*u + z + 13 = 6*u, -3*u = 2*z - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let p(o) = -2*o**2 + 2*o**a + o**2. Let r(g) = -g**2 + 9*g + 9. Let w(b) = b**2 - 4*b - 4. Let s(t) = 4*r(t) + 9*w(t). Calculate p(s(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1135*p**3 + 2*p**2 - 4*p + 4. Let m be f(1). Suppose -4*u = 2*a - 2162, m = 4*u + 4*a - 1027. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9559*i + 9564*i - 28754*i + 9585*i.\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536711.1 weeks to minutes.\nAnswer: 5410047888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 80636?\nAnswer: 80636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/42*7)\/(1\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2106752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -235\/4?\nAnswer: -235\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 6*n - 28. Let t be g(-6). Let x = t - -27. Let b = 3 + -5. Sort b, 2, x in ascending order.\nAnswer: b, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a**2 + 4072*a + 11553. What is z(-288)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 41 = -29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33124454 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16962 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 352. Solve -3 + 3 = g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a - 413 - a - 446 + 785 to the form l*a + g and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-35 + 33 + -48)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2, 4*n - 4*p - 8 = -36. Let t be 1 - n\/(-8) - 12309\/(-44). What is the highest common divisor of t and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 0*q + 5*q + 80, q + 153 + 292 = 8*s for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.84313ml to litres.\nAnswer: 0.09784313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12067 + -12071. Which is the fifth smallest value? (a) -2 (b) -1\/2 (c) y (d) -33 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 340*w**2 + 4*w + 8.\nAnswer: -340*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*b + 4505, -2*b + 1502 = n - 3*b. Let u = n - 3081\/2. Calculate the common denominator of u and (6*(-7)\/(-112))\/((-1)\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3117, 7676, 13693, 21168, 30101, 40492, 52341?\n\"Answer: 729*u**2 + 2372*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.855 to 1 dp.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012089 to seven dps.\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78969618 to the nearest integer?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/(-12)*-3 - -1140.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least as big as 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 94*r + 381. Give o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 18 = -a, 0 = a - z - 4 + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.46 (b) -158 (c) -1\/6 (d) -2.7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 120. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 271.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -0.0002\nAnswer: 8.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 7. Let o(q) be the third derivative of 1\/6*q**3 + 0 + 1\/24*q**4 + 0*q + q**2. What is 6*o(n) + x(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*i + 716722 = -135226, -m - 3*i + 213001 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4, -1393 = -3*g + 4*v + v. List the prime factors of g.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0296 - 2.1704. What is the second biggest value in c, -0.21, 1\/4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(600)\/sqrt(2) + sqrt(3)) - (sqrt(3) - (5*sqrt(18)\/sqrt(6) - sqrt(3))**2)*6.\nAnswer: -65*sqrt(3)\/11 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 105. Let c be ((-9)\/n)\/(-8 - -11). What is the closest to -0.2 in -2, c, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216247 is divided by 71985?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1093\/11226 or 1?\nAnswer: 1093\/11226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1973 - 1975. Which is the second smallest value? (a) -24 (b) 0.1 (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70175661 by 754577.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3203*k - 10. Let l(b) = 6401*b - 18. Determine -6*l(a) + 11*z(a).\nAnswer: -3173*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 124267.8 minutes in nanoseconds?\nAnswer: 7456068000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - 0.26. Let d = 2272 + -2277. Which is the closest to -0.2? (a) d (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (110 + -10688)\/82?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -33. Suppose 8*d + h = 5*d. Let v(r) = -r**2 - 2*r - 4. Let c be v(d). Sort 5, c, 3 in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.4, 0.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i + 9*i - 5*i + 112*i**2.\nAnswer: 112*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512 + 2392 = -4*d. What is d rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 408 + 2923. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -8. Let u be 814\/(-1221)*(-3)\/7. Let g = -53\/2 + 27. Which is the closest to u? (a) g (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5751 and 186943.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 3*n**2 + 3*n + 3. Let s(x) = 3*x**2 - 37*x + 10. Let b be s(12). Let t(l) = -5*l**3 - 2*l**2 - 2*l - 2. Determine b*w(r) - 3*t(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-807)\/(-4)*(-16)\/(-12).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*231\/66 - 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 + (-56)\/(-32). Suppose 0 = 3*k + n - 12, 0 = -k - k - 3*n + c. Sort k, 3, 2, 4 in descending order.\nAnswer: k, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313262 + 71683 = 17*y + 329908. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32102 + 0?\nAnswer: 32102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u*u**0)\/(((u*(u**(-1)\/u)\/u)\/u)\/u)**(2\/75) assuming u is positive.\nAnswer: u**(53\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5123*y - 51. Suppose -5*s - 42*r = -38*r - 26, -s + 4*r - 14 = 0. Is d(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117457339.\nAnswer: 117457339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 124647?\nAnswer: 1\/124647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*a - 154. Let h be (14\/7)\/(4\/a). Let n = h + 92\/5. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21320034 + -1013?\nAnswer: -21321102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 1 (c) 87 (d) -0.2 (e) 4 (f) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*1*-4. Let i = j + 14. Let y = 27 - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 690276. Suppose n - 970092 = -y. Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3741955*n**6 - 5617*n**2 - 399*n wrt n.\nAnswer: 449034600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t - 5715 + 5495 = 0, 3*u - 3*t = -42 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 + -10. Suppose 3*p = 5*r - 273, 8*p - f = -4*r + 3*p. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 290, 427, 558, 683?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70753 or -70742?\nAnswer: -70753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**3 + 8*b**3 + 13*b**2 - 13*b**3 + (b**2 + 2*b**2 - b**2)*(-3 + 3 + 3*b))*(0 + 3 - 1)*(-1 + 15 - 3).\nAnswer: 176*b**3 + 286*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**1*f))\/f**21)**14 assuming f is positive.\nAnswer: f**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*m - 2926 = 49*m - 61*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 8, -9, -2353.\nAnswer: -2353, -9, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 300, 474, 650, 828, 1008, 1190?\n\"Answer: i**2 + 169*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32185246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -311, -604, -897, -1190, -1483?\n\"Answer: -293*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Solve 6 = -o - t*l, -2*o + 2*l = -19 + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/7, 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 6. Let x be s(-3). Suppose 2*z - o - o - 6 = x, -3*o - 7 = -2*z. Let t be (-4)\/(z + 2)*-1. Solve 4*l + t = -15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o + 14. Let c be j(-14). Let a be c - (2 + -1) - 4. What is the nearest to a in 0.1, -0.4, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6060006.368 rounded to the nearest one hundred?\nAnswer: 6060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, c: 2, n: 2}. Give prob of sequence ic.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 348*t**2 - 3213*t - 27. Determine a(-357).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 + 18*p**2 + 5*p + 16. Let j(m) = m**2 - m - 3. Calculate -d(a) - 5*j(a).\nAnswer: -3*a**3 - 23*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 63*z - 1893. Give s(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*3 - sqrt(13))*-4)**2 + 0)*-5 + (-5 + (sqrt(1872) + 1)*-6)**2.\nAnswer: 953 + 1584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -22. Let v be (-9202)\/946 - (-12 + 2) - (-3)\/(-11). Put 2, v, m, 1 in increasing order.\nAnswer: m, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61161 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdnd when four letters picked without replacement from {k: 3, f: 1, w: 4, d: 7, l: 1, n: 4}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 182*y**2 + 2 - 4870*y**2 - 4308*y**2 as k + t*y + i*y**2 and give i.\nAnswer: -9360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l - 14. Let v(b) = 2*b - 2 + 0*b - 3. What are the prime factors of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*h + 29, h + 11*c = 9*c - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2173*a = -2116*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5 + -1 + -5). Let x(v) = -v**3 + 6*v**2 + 4*v - 6. What is the smallest common multiple of (9\/(36\/(-88)))\/j and x(6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1\/4, -1, -19, 0.12672 in descending order.\nAnswer: 1\/4, 0.12672, -1, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93.2 - -89.2. Which is the closest to 0.041? (a) 2 (b) -1\/5 (c) x (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k - 10*k**2 - 11*k - 2*k + 2*k - 2*k**2 + (2*k**2 + 2 - 2)*(4 - 5 + 3) - 3*k**2 - k**2 + 3*k**2 as z*k**2 + d*k + o and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = n + 21, -3 - 32 = -5*n - 3*x. Is n - (-7)\/(-2) - 83\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -1, 619\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*u - 977 = 1807 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 229*r + 7701. Calculate f(-31).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 35*u - 60. What are the prime factors of c(9)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 73. Let q be w(-29). Suppose q*g - 1644 = 9*g. What are the prime factors of g?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89869 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9))**19\/((q\/q**(-1))\/q)**42 assuming q is positive.\nAnswer: q**(-340\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 130, 331, 612, 973?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -413*o**4 - 5*o**3 + o**2 - 13*o - 227 wrt o?\nAnswer: -4956*o**2 - 30*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7346\/4 + 232\/(-464). What is the greatest common divisor of 864 and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51.25132 decades?\nAnswer: 512.5132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/11 + 15593146*b\/11 - 31186284\/11 = 0.\nAnswer: 2, 7796571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + 20. Calculate the remainder when 47 is divided by 20\/(0 - -1)*d\/105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 117161 = 183377. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 1, 4*c = 4*w. What are the prime factors of (-46 + w)\/(-3 + 2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34119 is divided by 322.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*o - 58 = 0, 0 = s - 4*o - 8 - 0. Suppose m - 3*z = 8, 4*z + 4 = -2*m + 3*m. Calculate the smallest common multiple of m and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 1060. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2 = 3*r + 4, 3*r + 2*d = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1003 - -7729?\nAnswer: 6726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1181 (c) 1\/4 (d) -0.01 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 12. Let g be ((-8)\/(-2))\/2*35\/14. Let a(z) = -1. Let w(k) = g*a(k) + d(k). Let m(y) = 1. What is -6*m(i) + w(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**2 + 4*a + 38. Let r(c) = 4*c**2 + c + 13. Let s(u) = -3*u + 10. Let o be s(8). Let y(w) = o*r(w) + 5*m(w). What are the prime factors of y(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/3)\/(-6) - -4. Let f(v) = 3*v**2 + v - 1. Let k(c) = c - 4. Let d be k(5). Let u be f(d). Is u less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 438, 5, -29, 4, 0, 2 in decreasing order.\nAnswer: 438, 5, 4, 2, 0, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b - 1. Let l(f) = 0*f + f + 4 - 5. Let d(c) = -l(c) + x(c). Let q(a) = -a**2. What is d(q(r))?\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731.4 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 4\/5*p - 18\/5*p**4 + 32\/5*p**3 + 0.\nAnswer: -2*p*(p - 1)**2*(9*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 3*b + 3*b. Let z(r) = -4*r**2 - 9*r. What is a(z(u))?\nAnswer: -4*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h. Suppose 5*p = -h*p + 35. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -6202, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 180\/8 + -4 - (-2)\/4. Suppose 99 - s = 4*o. Suppose 2*w + 2*a - a - 12 = 0, 0 = -2*w + a + o. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*r + 11*r + 11864, -35592 = -3*z - 5*r. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -150, -151, -152, -153?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272460 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 - 35*k**4 - 141)*(0 - 2*k - 2*k - 1).\nAnswer: 140*k**5 + 35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 9) to base 6\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 4}. Give prob of sequence kk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -11) + -23 + 18. Solve -4*u - 3*a - 35 = 0, q*u + 5 + 25 = -a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-5) - 2\/1. Let q = -44431.035 - -44431. Which is the second biggest value? (a) i (b) -1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2306176\/(-768))\/419)\/(2\/12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -0.12. Which is the second smallest value? (a) 1 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42646.69ns in milliseconds?\nAnswer: 0.04264669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7430739\/7 or -1061534?\nAnswer: -1061534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6*-2 + -6*(-12)\/26 and (-1)\/(-3) + 2\/5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4456 and 4456?\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 53. Let n be ((-126)\/(-28))\/((-2)\/48). Let p = n + 328\/3. Sort 0.1, s, p in decreasing order.\nAnswer: s, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 51\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87761135?\nAnswer: 5, 7, 11, 227951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-2 + 2 + 2)*(0*q + 7*q - 4*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 - 288. Calculate the remainder when h is divided by (1 + 4 + -2)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0 (b) -2.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 10*h + 40. What is y(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 5) to base 7.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 27*q**5\/20 + q**4\/6 + q**3\/2 - 5*q**2\/2 + 3*q. Let s(i) be the first derivative of j(i). Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*h)*(490*h + 444*h + 342*h)*((2*h + 2*h - 2*h)*(-4 + 6 - 1) + 1 + 2*h - 1) to the form r*h**3 + j*h + u + z*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-637)\/(-26))\/((-52)\/176) + (-14)\/(-91).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and -25667 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39689722 + 178*r + 39689722.\nAnswer: 178*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1168)\/(-20))\/(-4) + 1. Let t = p - -14. Factor t*o**4 + 0*o + 0*o**3 + 2\/5 - 4\/5*o**2.\nAnswer: 2*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:37 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -9. Suppose 3*i = 6, 13 = -p*g - 5*i + 71. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2117 divided by -9.\nAnswer: -2117\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49552 = -404144*h + 404796*h for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -231, -555, -879, -1203?\n\"Answer: -324*n + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 3842*l**2 + 6628*l**2 - 1756*l**2 + 5795*l**2 + 12775*l**2.\nAnswer: 27284*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkeeeeeeeeeeeu. Give prob of sequence uk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128)*5*-5 + -2 + -4 + (sqrt(128)*-1 + 3)*-5 + 0)**2.\nAnswer: -10080*sqrt(2) + 115641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -370400 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 1, f: 2, t: 1}. Give prob of picking 1 f, 1 t, and 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:44 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12872 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - h + 21, 2*h - 19558 = -19546 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-980))\/(2\/(-40))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20206 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, l: 3}. What is prob of picking 1 b and 1 l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -5*u**3\/3 + 1. Let f(v) be the second derivative of v + 26 + 0*v**3 + 0*v**2 + 1\/12*v**4. Give f(y(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {l: 2, y: 3, n: 8, z: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4708456 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r - r**3 - 4*r**2 - 9*r + 20 + 23*r**2 + 25*r. Let p be i(-16). Round p to the nearest 100.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111152 = -5*i - p, -22*p = i - 17*p - 22240. Suppose -40*c + i = -2*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7984543kg in milligrams?\nAnswer: 798454.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from klklmmmkkorklkkmk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = i, 4*i = 2*i - z + 1. Solve -m = -4, -i*m = d + 3*m - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) -304 (d) -0.04 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-1)\/(-2)*-2. Suppose 5 = -3*b + r*b. Suppose b*j = 1818 - 763. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156053955.\nAnswer: 3, 5, 10403597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -300706.7 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - (-114 + 64)) + -2 + -37.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 42. Let t(k) = k. Calculate r(d) + 5*t(d).\nAnswer: 2*d + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17686 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: b\"What is the pth term of 117, 225, 321, 399, 453, 477?\n\"Answer: -p**3 + 115*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*-4.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 31*w**2 - 5*w + 6. Let i(m) be the second derivative of m**4\/2 - m**3\/6 + m**2\/2 - 4*m + 46. Give -2*a(k) + 11*i(k).\nAnswer: 4*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, 0, 1\/2, 4\/161 in decreasing order.\nAnswer: 221, 1\/2, 4\/161, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -5. Let k = i - -3. Let j = k + 2.1. Is -0.1 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 4*p - 36, -3*k = 3*p - 63. Suppose -4*r - 28 = 4*z, r - k = 2*z + 5*r. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2928 rounded to 3 decimal places?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -75 - 114. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(8\/(-12)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347632170 divided by -1219762.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 815944366 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-123)\/24 - 2. Let h = v + -7. What is the nearest to 0.1 in -4, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) 7 (c) -0.12 (d) -3052 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 10:21 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 624 - 495 = -129 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1402276288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-2 - -1)\/(-1)). Suppose 0 = -p - 121 + 122. What is the nearest to p in 3, m, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/10 + 263*t**2\/2 + 79259*t\/5 + 155892\/5 = 0?\nAnswer: -1181, -132, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 56. Let o be s(16). Suppose -10*l = -6*l - o. Suppose 0 = -4*c - b + 3443, -5*c + l*b + 4837 - 517 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*w - 567*w = 126. Calculate the remainder when 99 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 704 = 2*b. Let r be 3\/2*(0 - 2). Let k be (96\/(-3))\/(6\/r). What is the greatest common divisor of b and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15))**(18\/11) assuming z is positive.\nAnswer: z**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17634627, 35269251, 52903871, 70538487, 88173099, 105807707?\nAnswer: 123442311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1046.52465\nAnswer: 313.957395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-2) - (-693)\/210. What is the biggest value in 2\/5, x, -4\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 13*a + 4. Let x(y) = -y + 1. Let c(w) = 3*h(w) - 24*x(w). Factor c(d).\nAnswer: -3*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 2. Let c be m(2). Solve k + c = -0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + f + 1. Suppose 5*c = 2 - 7. Determine q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 225\/72 - (-154)\/80. Which is the third biggest value? (a) 0.5 (b) l (c) 2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.9 from 0.5330931.\nAnswer: -10.3669069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 4*m**2 - 4*m**2)*(20 + 26 - 44 + 7*m) to n*m + c + u*m**2 + b*m**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:58 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*y - 8440, -2*s - 3*y + 3371 = -0*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-12\/5)*g)\/g*g)\/((g*g**(-11)\/g*g*g)\/g*g*g))\/(g**(-1\/6)\/((g*g*g\/g**8)\/g)))**23 assuming g is positive.\nAnswer: g**(1219\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7955471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8598 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**4\/4 - 5*g**3\/3 + 5*g**2\/2 - 5*g - 3. Let d(o) = o**3 - 6*o**2 + 5*o - 6. Let b be d(5). Let k = -12 - b. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from nnqnueuuqnunnnn.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 22*g - 9. Let f(d) = 45*d - 18. Let x be -4 + (-55)\/10*-2. Let b(n) = x*w(n) - 3*f(n). What is the first derivative of b(p) wrt p?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:08 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 887788999660 and 0.3.\nAnswer: 887788999660.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -64. Solve v = -w + 1 - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2454.732\nAnswer: -981.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1344042000 to the nearest 1000000.\nAnswer: -1344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -24, -4*k + 7*v - 2 = 4*v. Solve 3*x = 2*j - 10, -k = 2*x - 11*j + 7*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 737607.\nAnswer: 59008.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19)**(-1\/3)*r**23\/r**(-1\/4) assuming r is positive.\nAnswer: r**(203\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(2*z**4 + z**4 - 4*z**4) - 52*z**4 + 535 - 535 + (9*z**3 - 5*z**3 + 5*z**3)*(-5*z - 2*z + 4*z).\nAnswer: -77*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-495))\/(4488\/4590)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 255014*71\/(-2) + (-27)\/9. What is i rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {b: 1, p: 1, a: 1, q: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 - -196. Suppose -6 = 3*y + 9. Put 5, y, h in decreasing order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 55*c**3 - 3*c**2 - c + 2. Let l be a(2). Find the common denominator of 21\/2 and -2 - (0 + l\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 60*m - 710. Calculate the lowest common multiple of 253 and g(42).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.66 - -0.26. Let n = 6.3 - 6.3. Suppose -3 = 2*f + 3. What is the nearest to n in s, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -100*s + 20. Let k be m(5). What is the common denominator of -38\/5 and 4\/5 - 2456\/k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 198145 + 26?\nAnswer: 19816b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) 1\/2 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in -7, 2, 0.3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 88\/5 of a day?\nAnswer: 25344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 82637\/731 + -51 + 8\/(-172)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 2679?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**26*(k*k*k**(-1\/3)*k)**(-10))\/((k**(-1))**(-2\/53)\/(k\/(k\/(k*k**2)))**(-1\/4)) assuming k is positive.\nAnswer: k**(-925\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/6)\/((-16)\/8))\/(90\/4590)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 - h**2 + 3 + 2 + 4*h. Let s be l(5). Let w be s\/(-1) - 3\/3. Does 2\/9 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 0.114141363571.\nAnswer: 4.114141363571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ppppjjppjjpjjpjp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15.53 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 + 353.3. What is the closest to -1 in 5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 7*m**3 + 7115*m**2 + 31384*m + 12144 = 0.\nAnswer: -1012, -4, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.89 + -6548925.\nAnswer: -6548927.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = 2*w, -20*w - 4*p - 24 = -24*w. Determine c so that 8\/5*c**w + 0 - 2\/5*c**5 + 0*c - 6\/5*c**4 + 0*c**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164787*j**3 + 35067*j**2?\nAnswer: 988722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/6 + (-6)\/(-9). Let h(d) = -d**2 - 7*d - 3. Let z be h(x). Suppose 3*g - 2*g + 259 = 4*s, 3*s - 213 = -z*g. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037054 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/875 and -28\/975?\nAnswer: 34125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.63 (c) -5\/4 (d) 554 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 125*t**2 + 16*t - 4. Let y be g(3). Let a = y - 660. List the prime factors of a.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(57) + sqrt(57) + (sqrt(570)*2 + sqrt(570) + sqrt(570))\/sqrt(10))*1)\/((sqrt(243) - -2*sqrt(243))*4 - (5*-1*sqrt(243) + sqrt(243))).\nAnswer: sqrt(19)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -57 + -1 + -36 + 1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878327.19s to hours.\nAnswer: 243.979775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {o: 2, x: 2, b: 1, h: 1, c: 1, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**3 + 6*l**2 + 8*l + 3. Give r(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x, j = -4*x + 13 + 75. Let h = 44 - j. What are the prime factors of 10*(-3)\/h*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 554a?\nAnswer: -5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12) - 8\/(-6). Suppose 73 = -2*c + 97. Let b be (2 + -6)\/(c\/(-15)). Solve 3*j - x = -4*s + 7, -b*s = 5*j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/10)\/((-2)\/10). Suppose j - u = 27. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 48287*b**2 + 193145*b\/2 - 48286.\nAnswer: (b - 96572)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -2348260?\nAnswer: 2348257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 811, 1956, 3595, 5728, 8355, 11476?\nAnswer: 15091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1820 and 351348543?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/4 - 73*n**4\/2 + 6207*n**3\/4 + 247559*n**2 - 3931229*n - 4177200 = 0?\nAnswer: -118, -1, 16, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1336459c - -4?\nAnswer: -13364598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + w**2 + 9*w. Let c be a(4). What is the units digit of 8\/(-4)*21\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*r**2 - 1091*r**2 + 2190*r**2 + 19 - 22*r**3.\nAnswer: -22*r**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3114119.23 rounded to the nearest 1000?\nAnswer: -3114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364022 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + 3*h**2 - h**2)*(-1 + 2 + 1) - 2*h**2 - 5*h**2 + 6*h**2 - 6626*h**2 - 6770*h**2 + 20190*h**2 as o*h + j*h**2 + u and give j.\nAnswer: 6791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2079 - 5775 - 2595)*(-o + 5 - 5).\nAnswer: 10449*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.1, 0.23, 3, 3\/19, -1\/2, 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2046\/341*1\/4*-1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41612 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - 5*a**2 + 12*a**2)*(8*a + 5*a + 4*a)*(-2*a + a + 2*a) + 0*a**4 - 4*a**4 + 6*a**4 to the form m*a**2 + b*a**4 + j + y*a + k*a**3 and give b.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23067040*u**4 + 18091846 with respect to u.\nAnswer: -92268160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 163894969 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 + 614*k**2 - 614*k**2.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1550\/14 - (-12)\/(-42)*-1. Suppose 4*i + f = 99, -4*f + f = -5*i + k. Calculate the lowest common multiple of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -40. Suppose 0 = -5*j - 4*z + 41, -v*j + j = 2*z - 13. Suppose -r = -j*r + 4*s + 24, 0 = -r - 5*s + 36. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -689\/2 + 7387\/22. Let z be 590\/(-176)*174\/75. Let g = z - r. What is the common denominator of g and 101\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/65 and -44\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 44 = x + i, -3*x - 4*i + 66 = 0. Suppose 10*n = 4*l + 196, 143*l = 3*n + 141*l - 58. What is the remainder when x is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*m**2*p**3*q + 32*m**2*p**2*q**3 - 4*m*p**3*q**3 + 3*m*p**2*q**2 wrt p.\nAnswer: 366*m**2*q - 24*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 - (-1 - 0)*2. Suppose 4*y + i*a - a - 26 = 0, -4*a + 32 = 4*y. Suppose -f - 3*f - 272 = -5*u, y*f = -15. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2342, -4728, -7114, -9500?\n\"Answer: -2386*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from ftfttgkdfgtkjf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.0654 * -5\nAnswer: -5.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*(sqrt(114)*-1 - sqrt(114)) + sqrt(114) + -6*sqrt(114)*1 + sqrt(114))\/((sqrt(486) - (sqrt(486) + -2*sqrt(486)))*5 - 2*sqrt(486)*2))**2.\nAnswer: 19\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 + 116\/(-88) + 572\/(-3146). Let z = -1 + 1. Solve p = 7*h - z*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 + 9*q + 6. Let w be g(6). Let v = w - -19. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*k = 11215, 1570 = 2*c + 2*k + 6042. Let f = 4565\/2 + c. What is the common denominator of 39\/(-208)*(0 - -30) and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8558\/9 or -952?\nAnswer: -8558\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 20664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5265786, -21, 0 in ascending order.\nAnswer: -5265786, -21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -793, -1333 in increasing order.\nAnswer: -1333, -793, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (231*5\/3840)\/(36\/(-48)) and -97\/54.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29387.7785 to the nearest ten.\nAnswer: -29390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63903.859 - -63878. What is y rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**3 - 3*k**2 - 5*k - 1. What is c(-2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-240)\/228))\/(9\/4 - 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/8 + (-678)\/216 and 6\/(-30) + (-782)\/540.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -2.7. What is the smallest value in 1, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30852319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*j = 762*j - 145. Let n(k) = 3*k + 14. Let b(h) = -2*h - 9. What is j*n(g) - 8*b(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 865*h**2 - 187*h - 718. List the prime factors of k(-4).\nAnswer: 2, 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65056 is divided by 16262.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y + 290. Let k be q(-22). Suppose 80 = -512*h + k*h. Sort 1, h, 4.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -480*t**2 - 4*t + 36. Let c be z(-11). What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-9)*3)\/((-1)\/(-12)). Suppose 16 = -3*p + p. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.048 - 0.048. Let j = -516 - -511. What is the second smallest value in 15, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-180))\/(3\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261951551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 2*k**2 - 1. Let g be n(-3). Does 12 divide g\/32 - 326\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 8:29 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30123.91 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15899.\nAnswer: 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 24. Let f(m) = m - 4. Let q = -828 - -822. Let u(o) = q*f(o) - c(o). Let j(g) = -226*g**2. Give j(u(w)).\nAnswer: -226*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -2, 7 in descending order.\nAnswer: 7, 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181012685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-3)*-1*15\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16192 is divided by 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24\/5 of a millennium?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 41, 0, 2, 15, 5, 9, 11 in ascending order.\nAnswer: 0, 2, 5, 9, 11, 15, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**3 + 2 - 7*b - 14*b + 32*b + 22*b - 14*b**3 to the form w + l*b**2 + p*b + x*b**3 and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -148, -228, -312, -400, -492?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 + w + 8. Let n be t(3). Find the third derivative of 50*l**3 + 47*l**3 + 36*l**n - 72*l**3 wrt l.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 3. Let n be j(-7). Let l be ((-100)\/(-8))\/((-1)\/n). Let g = 24236 - 24211. What is the greatest common factor of g and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -63. Suppose -4*y = w*j - 32, 3*y = 10 - 1. Suppose -5*b = -j*b + 2*b. Solve 10 = -b*k - 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1680)\/(-238) + 4\/(-68)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 923 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 42950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t - 14. Let k be r(-4). Let p(n) = 3*n**2 - 10*n - 17. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 93 - 97 + 4*t - 8*t.\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -339*l**3 + 2*l**2 + 340*l**3 - 61*l**4 - 6 + 3 in the form t*l**2 + x*l**4 + f + s*l**3 + v*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1*5 - sqrt(209))\/((sqrt(99)*2)\/sqrt(9)) + -2 + (sqrt(133)\/(sqrt(7)*-2))**2 + 1.\nAnswer: -3*sqrt(19) + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81455343 minus -0.5?\nAnswer: -81455342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.9799 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 706 - 639. Let z = -120 + 186. Which is smaller: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 399622*x**3 - 55*x**2 - 319*x - 37280 wrt x?\nAnswer: 2397732*x - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000287302 rounded to 6 decimal places?\nAnswer: 0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -542459*j - 5424599. Determine n(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, 0.2, 0.1, -1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -69733935.1?\nAnswer: -69733937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -4*j + 4*r - 130, 3*r + 8 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nazj when four letters picked without replacement from {z: 3, t: 1, o: 1, j: 2, n: 5, a: 1}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.98 - -10712\nAnswer: 10707.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106412 - 74619. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 3*s**4\/4 - 2*s**2 + 8*s. Find the first derivative of u(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2821 + -76. What are the prime factors of b?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z - 60*z + 71 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2288916)\/(-90830))\/(11\/5)?\nAnswer: 126\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*g - g. Suppose -z - 8 = -g. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -76. Find the common denominator of q and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -42*s**2 + 10*s - 7. Let t be j(2). Let u = 161 + t. Which is the nearest to 0.1? (a) -1\/5 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 175119, 5, 402\/5?\nAnswer: 402\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2270463 is divided by 2150?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 5*p + 194 = 0, -4*a + 3*p = -198. Suppose a*j = 57*j - 468000. Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 84, 187, 342, 555, 832?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 2*o + 22, -16 = -t - 5*o. Let p = 340 - 334. What is the lowest common multiple of p and t?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(3654\/1740).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 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: Suppose 2*p + p = 6. Suppose -5*u + 2*q + 4736 = 0, -3*u - 3*q = p*u - 4746. Suppose -h = m - 238, -m - 2*m + u = 4*h. Does 41 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 913983 - 2.\nAnswer: 913981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -9*t - 67 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 7) to base 2.\nAnswer: -10011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025 + 958 + 1683 = -205*n - 844 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11160 = 109*c - 78*c. Suppose -c = 2*q - 14*q. What is the least common multiple of q and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 45*b**2 - 50*b**2 + 60 + 94*b**2 + 93 to m + t*b + o*b**2 and give m.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + v = 3, -g = 2*v - v - 3. Let q(k) = k**3 + k**2 + 40000. Let a be q(g). What is a rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + (0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42132 and 61356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, 0.6, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 3 - 3 - (44 - 10 - 32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599231622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.86 - 3.23. Let s = 1.630000592 - r. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**5 + i**3 - 8*i**2 + 4*i. Let s(q) = 0*q**5 + 7*q**2 - q**3 + q**5 - 44*q - q**4 + 41*q. Let c(j) = 3*a(j) + 4*s(j). Let c(b) = 0. What is b?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50127515?\nAnswer: 5, 29, 345707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*r**2 + 4 - 290*r**3 - 10*r**2 + 94*r**2 to y*r + n + j*r**2 + d*r**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -11. Is n at least as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86544209 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + 4 + -2 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 302 = -62*a + 156 + 185 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2907, 4, -5, -1, 584 in ascending order.\nAnswer: -5, -1, 4, 5, 584, 2907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*a - 88. Let w = -148 - -147. What is the third biggest value in a, w, 1\/14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -50, -167, -412, -833, -1478?\n\"Answer: -8*p**3 + 8*p**2 - 5*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:09 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l + 3. Let d(i) = -2*i**2 + 2*i**2 + i**2 + 4 + 3 + i**l. What is d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452 (base 15) to base 16.\nAnswer: -3d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i)\/i**2)**(-24)*((i*(i\/((i\/i**(-6))\/i*i*i))\/i)\/(i*(i\/(i\/(i*i**(3\/4)\/i)))\/i))\/(i**(-2\/5))**(-2\/25) assuming i is positive.\nAnswer: i**(-63891\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -119*n**3 - 8*n**2 + 3*n - 61. Is p(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {v: 6, q: 3, k: 1, r: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20004109 divided by 77837?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 983\/170 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*w = -278*w - 2575. Which is smaller: -516 or w?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 55 - 49 = 0. What is the derivative of d*f**4 - 311 + 174 + 0*f**2 + 5*f**2 wrt f?\nAnswer: 8*f**3 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4177.\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 10149?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -18477*g + 646672. What is v(35)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2 + 570*k - 4088 = 0.\nAnswer: -292, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 6*n**2 + 10*n**3 + 7*n**2 - 4*n**2.\nAnswer: 3*n**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -3*r + d, -d = r. Solve -r + 8 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18113370?\nAnswer: 2, 3, 5, 11, 131, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(1152)*2)\/(sqrt(256)*2).\nAnswer: 13*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971701863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1611 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 3\/2, -2\/19, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*667.31.\nAnswer: 266.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -26. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -1\/7 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 1\/3 (c) -9 (d) 0 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9819530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 22584716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(1 - 1 + 4*x)*(1 + 0 - 3).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**4\/5 - 1203608*m**3\/5 - 2246634*m**2 - 3610656*m\/5 = 0 for m.\nAnswer: -200592, -9, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u + 14. Let t(b) = b - 1. Let y = -6 + 9. Let v(z) = y*f(z) + 42*t(z). List the prime factors of v(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.2438 and -0.18440165.\nAnswer: -20.42820165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y - 6*y - 11*y)*(5*y**2 - 2*y**2 - y**2).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 18*n + 3. What is h(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83663517 divided by -9807.\nAnswer: 8531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.05 - -0.05. Let v = z + 4. Let w = 0 - v. Which is the closest to -1\/3? (a) -3 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 41236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - a5?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/24 - 5*z**3\/3 + 17*z**2. Give i(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -201. Let u be p\/21*30\/(-260). Which is the closest to 4? (a) 0.4 (b) -1\/4 (c) -11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239994 + -240141.901. Let l = v + 148. Round l to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*i = 11, 5*i = 5*o + i + 21. Let n be (-40)\/(-8) - o\/(1\/(-3)). Solve n*z - 3 = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 14*z - 15*z - 1159. Sort 3, 2, -3, z, -5.\nAnswer: z, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174096.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b + 1. Let n(f) = 2*f**3 + 2*f. Let k(r) = -4*g(r) + n(r). Let y be 18\/12*((-24)\/(-9) + 0). Is k(y) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1960 + 2*b**2 + 2*b + 14*b**3 - 39*b**3 + 1966 + 18*b**3 to y + o*b**2 + p*b**3 + a*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*d - 156*d + 13004 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 2, x: 8, o: 3, c: 1, w: 4}. Give prob of sequence xzx.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.158*-0.2.\nAnswer: -1.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60211 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**5 - 17*m**5 - 21*m**5 + (2*m**5 - m**3 + m**3)*(1 + 2 - 1).\nAnswer: -26*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(320)*-6 - sqrt(20)*-5).\nAnswer: 114*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-343)\/490)\/(14\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 + 18*s + 54)*(-142 - 26*s + 142) as h + d*s + k*s**2 and give k.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 21 = 4*a. Suppose -5 = -a*g + 7. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -21*i - 1386. Let c(m) = 6*m + 396. Give -18*c(o) - 5*n(o).\nAnswer: -3*o - 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*g + 1)*(-5 + 6 - 2) + (-3*g + 0*g + 5*g)*(2 - 3 - 1)*(2 + 0 - 4) to the form b*g + q and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9240*n**3 - 2*n**2 - 9*n - 8. Is b(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 7, v: 1, x: 5}?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, v: 14}. What is prob of sequence jvjj?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/10590 and 47\/16?\nAnswer: 84720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:19 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -194*q + 13. Let m be k(-5). Suppose 0 = -5*j + m + 912. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 190 and 45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**2 + t - 199. Let r(m) = -26*m**2 + 4*m - 596. Let z(b) = 17*k(b) - 6*r(b). Let w(o) be the first derivative of z(o). Calculate w(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/162*45 + -7 + -8 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*g - 2*j, -17*g + 14*g = -2*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -880899*j**5 - 74801477*j**2?\nAnswer: -52853940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11769, -11772, -11783, -11808, -11853, -11924, -12027?\nAnswer: -12168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) 10 (d) 1.1 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 41*r + 2 = -3*s, 4*r = 2*s - 22. Which is the fourth smallest value? (a) -14 (b) r (c) 4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80.5759 grams?\nAnswer: 80575900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwja when four letters picked without replacement from {w: 1, a: 1, j: 16}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1126 minus 0.106?\nAnswer: -0.2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d - 7*d + 0*d - 4*d + 21*d + 38*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8975714.\nAnswer: 2, 11, 19, 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 833*a - 143905. Calculate h(-247).\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 26. Suppose 3*l - 26 = 3*s + 16, -51 = -4*l - s. Suppose l + 2 = 3*q. What is the greatest common factor of k and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-1*sqrt(612) - sqrt(612)) + 2 + 0 + sqrt(612).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x. Let i be v(0). Suppose -c + 4*c = i. Let r = -10 + 7. Put c, r, 4 in descending order.\nAnswer: 4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 7*b**2 - b - 1. Let z be v(-2). Solve -10 = 2*u, -2*f + 0*u = u + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = u - 78. Let i be u + (-1)\/(5\/(-970)). Calculate the greatest common divisor of 120 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c - 172530 = -116*c. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -8. Calculate the remainder when 39 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4855 - 3595. What is the smallest common multiple of 18 and d?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9182.274 milliseconds?\nAnswer: 9.182274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -5, 1\/3, -29, 0.0247, 4?\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 2*s**3 + 0*s**3 + (0*s + 0*s - 2*s)*(-4*s**2 + 4*s**2 - 2*s**2) - 786*s**3 - 6633801 + 6633801.\nAnswer: -781*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 114.61 + -114. Let z = f - 3.61. Which is the biggest value? (a) 3 (b) z (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9072) + sqrt(9072))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*z = -2 + 3, z = 2*o - 29. Calculate the remainder when -9 + (-79)\/(-9) + 632\/9 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -5*j. Suppose -j = -h + 2*h. Suppose 0*o + 4*o = 0. Sort -2, o, h in ascending order.\nAnswer: h, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4804122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n - 11*n + 11*n - 5*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62427.\nAnswer: 3, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**(-18\/7)\/n*n)\/n)*n)\/n)\/(n*n**30))\/(n**1\/n*n\/(n**28\/n)) assuming n is positive.\nAnswer: n**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 4*w**2 - w**2 + (3 + 2*w - 3)*((0 + 0 - 2)*(4*w - w - w) + 1 + w - 1).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-6)\/5 + -2 + (-5)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2800097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 2*b - 133. Let s(t) = 3*t**2 - 3*t + 267. Determine -5*f(v) - 3*s(v).\nAnswer: v**2 - v - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3 and -25\/261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 + 64*q - 459. Let g be j(11). Is -373 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*i + i**2 - 27*i + (0*i + 0*i + i)*(2*i + 32 - 7 - 91).\nAnswer: 3*i**2 - 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-54)\/(-4))\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227448426 to the nearest integer?\nAnswer: 15081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:37 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pppppgpppgpgpgppppp?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i**3 - 18*i**2 - 16*i - 80. Let a be s(-10). Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*j = 5819 - 375, 0 = -q + 5*j + 1361. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**3 - j. Let q be y(1). Let w = 6920 - 6448. Suppose -4*s = s - q*p - w, 3 = -p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 29*c**2 - 18*c**2 + 2*c**2 - 2 + 2*c. Let a(q) = 25*q**2 + 5*q - 5. Give 2*a(u) - 5*w(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.8. Let j = 470 - 1879\/4. What is the closest to j in 0.2, -1, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-116 - -8) + 40).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 14487219 = -2*b + 38312779, 2*v - 4*b - 26400004 = 0. What is v rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = -a - 3*c, 5*a = -2*c + 19. Let y be (((-30)\/(-7))\/(-10))\/(-2 - (-27)\/14). Solve -a*q + y = -2*q + 3*g, g - 14 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 45, 64, 89, 120?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 45. What is the common denominator of -24 and (m + 1)*4\/(180\/(-111))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982127.8 rounded to the nearest 10000?\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4751 (base 10) to base 11\nAnswer: 362a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 12 = 0. Suppose -i*u - 1 = -9. What is the derivative of 4 + u - 5 + r wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2*c**2 + 2*c + 3. Let m(a) = 3*a + 1. Let j(u) = -5*m(u) + 4*r(u). Let z be j(2). Solve 5*f + z = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 27. Let x be v(-5). Suppose -3*q + 5*q**5 - 2*q - 120*q**4 - 10*q**x + 251*q**4 - 121*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4538 - -4538. Let b(d) = -4*d**2 - 4*d + 3. Let m be b(3). Let k be 1\/(-4) - m\/148. Which is bigger: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -20.2. Let n = z - 3.8. Suppose 7*o - 5*o = 2. What is the nearest to o in -1, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (-6 + 2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1110?\nAnswer: -110b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.02, -1.7, 0, -2\/7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*x - 65*x - 475. Let p(f) be the third derivative of 0*f**3 - 1\/30*f**x + 0*f + 0*f**4 + 0 - 22*f**2. Let t(h) = 13*h. What is p(t(u))?\nAnswer: -338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/2, 5\/2, 1\/5, -1\/12, 5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91975147 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**2 + 4*p - 430. Is b(11) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*m, -w - 3*m = -6*m - 9. Solve -4*z - 9 = 3*s, 3*s + 5*z + w = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188754 or 188755?\nAnswer: 188754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 71, 97, 127, 161, 199, 241?\n\"Answer: 2*o**2 + 16*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44369\/33 or -1344?\nAnswer: -1344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 39 = 3. Suppose g*j = 10*j + 4328. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 738, 668, 598, 528, 458?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 252304 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/9 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkxl when four letters picked without replacement from bxilxkkxluxxl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 0.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymjy when four letters picked without replacement from ymyymkmmmvyjmmvmym?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4311176512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 + 2*b + 8. Is 23 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 180, 4, 8.\nAnswer: 2, 4, 8, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 207*v. Let m(y) be the third derivative of y**4\/12 + 79*y**2. What is m(c(d))?\nAnswer: 414*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 595*m + 17046 - 2171 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose k = -f - 8*f. What is the second derivative of -11*r**2 - 2*r + f*r + 12*r wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -77.\nAnswer: -117\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*i - 21*i + 20*i in the form n*i + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g. Let c = 65524 - 65534. What is the fourth smallest value in g, 1, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 28598?\nAnswer: 28601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091*w**2 + 429 - 213 - 216.\nAnswer: -1091*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and -2 + 27 + -17 + 17878\/(-2224).\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 2*v**2 + 4. Give p(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183542*x**5 - 435663*x**2 wrt x?\nAnswer: -11012520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = 3*l, -r = -5*l + 3*l. Suppose 2*q + j = r*j + 1, -5*j = -5*q - 5. Suppose -16 = -i - 3*i. Calculate the remainder when i is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14042044 (base 5) in base 7?\nAnswer: -1135034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 298929185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 0*o**4 + 4*o**4 + 2*o - 2*o - 11*o**4 + (2 - 2 - o)*(-4*o**2 + 4*o**2 - 2*o**3).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywwyyyyy. What is prob of picking 2 w and 1 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -4007\/5 and -5122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 8) in base 5?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.758 and -2.\nAnswer: 3.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4015 by -5.\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.191 + -1.3343. Round b to two dps.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 498, 329, 102, -177, -502, -867?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - -8) + 8 + -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-308))\/(30\/45)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3593, -3680, -3817, -4004, -4241, -4528, -4865?\n\"Answer: -25*k**2 - 12*k - 3556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*p - 2. Differentiate 6*g + 1768 - 1750 - p*g wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -5 (c) 0 (d) 81 (e) 0.3 (f) 168.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8474 - 8452. Suppose 0 = -4*v + 18 + 2. Let x = 171 + v. What is the highest common factor of d and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6286 - 5*p + 6326 - 18928 + 6316.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -404\/3, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 + -0.13. Let d = 0.09 + b. Round d to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w - 14*w + 16*w = 49*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 + -121 + -38 - -17.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3308*u - 138947. Calculate o(-42).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0012 * -3\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(4*h + 6*h - 9*h)*(-4*h**4 + 3*h**4 - h**2 + 2*h**2).\nAnswer: -3*h**5 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3196000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from {h: 1, c: 4, t: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 7*i**2 - 8*i + 6. Let m be v(8). What is the highest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196575459\/5 or -39315092?\nAnswer: -39315092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4849909 minutes?\nAnswer: 29099454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 97\/2 of a century?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b6d + -5?\nAnswer: -b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + j - 17, -5*h - 3*j - 16 = -6*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*a**2 - 427*a**2 + 116*a**2 - 586*a**2.\nAnswer: -1459*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.269 - 1.661. Let w = p - -1.75. Is -0.1 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18ee (base 16) in base 14?\nAnswer: 247c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:07 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 + a833?\nAnswer: a861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 1 d when three letters picked without replacement from {d: 2, j: 3, k: 1, p: 6, w: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 7 + 122)*(-3*a - 3*a + 4*a) as h + p*a and give p.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2073, 2045, 2015, 1983, 1949?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/816 and 17\/7314?\nAnswer: 994704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9051 by -3.\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**3 - 5686397*y**2 - 4*y + 232591274.\nAnswer: -9*y**2 - 11372794*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4095 and 7875.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -922, -11 in decreasing order.\nAnswer: -2, -11, -922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10*0 - 54202 - -2. Round k to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*j = -30, 3*v + 2*j - j = 18. What is the units digit of (-728)\/(-12) - (-2)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.078 + -63. Let y = -0.038 + a. What is the nearest to 1 in -2\/7, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*k**5\/4 - 927*k**4\/4 - 31527*k**3\/2 - 43473*k**2 - 25830*k = 0. What is k?\nAnswer: -35, -2, -6\/7, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*j**2 + 1506\/7*j - 3004\/7 = 0. Calculate j.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -19. Suppose 5*n + 25 - 10 = 5*v, 5*n + 5*v = l. Solve 5*x + 11 = -3*c, n*x - 3*c = -5*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774658 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**2\/2 - 8*q - 8. Give i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 5, 3, 2, 14, -411, -1 in decreasing order.\nAnswer: 14, 5, 3, 2, -1, -120, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*w + 36, -4*x + x + 44 = -5*w. Let f(n) = -2*n**3 - 9*n**2 + 8*n - 16. List the prime factors of f(w).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*11799\/(-60306)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -u + 20, 5*u + 0*r - 40 = 5*r. Suppose -2*z = -3*i + u, 4*z - 13 + 2 = -i. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5742*h**2 + 30*h + 5. Let s(v) = 200970*v**2 - 1044*v - 174. What is -174*d(g) - 5*s(g)?\nAnswer: -5742*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 - 844*g**3 + 182880*g**2 + 8200000*g + 84736000 = 0.\nAnswer: -331, -20, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44795 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(8)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 2.98. Let t = 9 - 9. Let p = -0.4 - -0.8. Which is the third biggest value? (a) p (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 4173*x + 340234. Calculate q(80).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 52. Let a = c + -16. Let t = 118 - a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7568, -14786, -22004?\nAnswer: -29222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 98645000 to the nearest one hundred thousand.\nAnswer: 98600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 4*m**2 + 4*m + 3. List the prime factors of t(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:05 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/5)\/(38\/95). Let x = h + -20. Solve 3*o + x = -5*w - 6, 3*o = -2*w - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -112?\nAnswer: -9\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -343?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 49. What is the closest to 2\/11 in -0.2, -7\/5, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from cmccmcccc?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 52 - 129 + 55 = 2*n, n = 2*d - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 + 50 = -2*x, w + 3*x = -2. Solve -8*h + w*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 + 76?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 57414637. Let d(m) = 2*m**2. Calculate n(d(o)).\nAnswer: -4*o**2 + 57414637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -923, -1620, -2463, -3458?\nAnswer: -4611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - h - 5 = 0, 5*h - 12 = -3*y + 7*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-17)\/(23 - 6). Solve 2*j + 2*f = j + n, 4*f - 9 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18877 divided by 22?\nAnswer: 18877\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 602 + -1b6?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 + 0.108. Sort v, 0, -17 in descending order.\nAnswer: v, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 + 220.3. What is c rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00209981 rounded to five decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 190?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7 = 2*x, 5*x = 6*n - 2*n + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -101. Suppose 2*m + n - 2*n = 287, 4*n = u*m - 290. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 1, s: 2, q: 13}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/73? (a) -0.2 (b) 2 (c) 1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/126 and -167\/47228328.\nAnswer: 47228328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - s + 0 - 3 + (4 - 3 - 2)*(-s - 2*s + s) + 10*s - 24 + 24.\nAnswer: 11*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {a: 1, q: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 398*m - 16629. Determine p(42).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1. Let w(l) = -l - 2. Let n(i) = 2*q(i) + w(i). Let d(u) = 0*u**2 - u + u - 3*u**2. Calculate n(d(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = 11*w + 690. Calculate the remainder when 81 is divided by (-9 - (4 - 8)) + w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/946 and 101\/516.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2312880 - -313?\nAnswer: -2312566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4605 is divided by 727.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:29 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1990.16 centuries?\nAnswer: 19901.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3\/(7 - 4). Let o be 11\/(-4) - 3\/12. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 13*z**2 + 11*z - 23. Let s(r) = 4*r**3 - 14*r**2 + 12*r - 23. Let j(q) = 2*a(q) - 3*s(q). Is j(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4335?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27595, -110392, -248389, -441586, -689983, -993580?\n\"Answer: -27600*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 130. Let m be p(-45). What is the second biggest value in m, 0.5, -4\/9, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 51*r + 105 + 368. Let i(y) = -7*y - 69. Give i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -13. Let n be (-2 + -1)\/(3\/a). Suppose -4*j = j + n. Is -1 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 6. Let d(y) = -1. Calculate -3*d(c) + p(c).\nAnswer: 2*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606*0.3.\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from {f: 13, c: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5266*o - 36807. Determine m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(7\/(28\/16)). Suppose -3*g - 7 - 8 = y. Let r(z) = z**2 + 2*z**2 - 2*z**2 + 7 + 6*z - 3. Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 15*q - 45. What is g(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/((sqrt(200) + sqrt(200)*-2 - sqrt(2)) + sqrt(2) + sqrt(2)) + (1*sqrt(288))**2 + (sqrt(242) + 0)**2)*-2*5.\nAnswer: -5300 + 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 48 = -2*h, 5*h - 76 = -6*q + 2*q. Let n(m) = -m + 17. Let j be n(q). Let s(k) = k + 0*k + 0*k. Calculate s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-8)*(7506\/(-243) - -31). Factor 7\/4*w - x*w**2 - 5\/2.\nAnswer: -(w - 5)*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 10015540?\nAnswer: 10015545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = -2*q + 2*g, -3*g = -4*q - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(800))**2*5 - -6*(((sqrt(8) + sqrt(8)*-2)*5)\/sqrt(4))**2.\nAnswer: 16300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7543 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5588 - 0.0588. Put 0.2, 4, -0.5, n in ascending order.\nAnswer: -0.5, 0.2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/2 - 8*o**3 + 23*o**2 + 72*o + 81\/2 = 0 for o.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhp. What is prob of sequence qp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2487.\nAnswer: 1\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 + 9*c + 25. Let g be i(11). Solve 28 = 4*b + g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 - 0.16. Which is the second biggest value? (a) d (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 18 + 18 + 2*d - 5*d**3. Let v(o) = 6*o**3 - 4*o**2 - 3*o. Determine -3*q(k) - 2*v(k).\nAnswer: 3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3 (c) 1\/3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 96*n**2 - 904*n - 315. Give j(-85).\nAnswer: -2950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 0*c + 112 = 0. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - 2375?\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6625, -6780, -6943, -7120, -7317?\n\"Answer: -y**3 + 2*y**2 - 154*y - 6472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s - 73*s + 2*s - 1 + 6*s + s - 5*s - 3*s + 2*s + 3*s - 2*s - 2*s + 5*s + (2 - 2 + 2*s)*(1 - 5 + 5) to the form u*s + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/154 - (1023\/(-210) - -5)*16\/(-3). Let r = -5.07 + 0.07. Which is the nearest to 2\/37? (a) x (b) 1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10926 + 16410. Let b = s + 155. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/9)\/(4*(-1)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.6 - 72. Let f = 37.2 + b. Let z = -20 + f. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 306731 - -31505.\nAnswer: 338236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v - 9. Let a be b(8). Let z = -75 + a. Solve 2*s + z = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 45*m + 1610735 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8997818, -8997786, -8997750, -8997710?\nAnswer: -8997666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08106 rounded to 2 decimal places?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 5*o**2 + 3*o**2 - 77 - 4*o**2.\nAnswer: 3*o**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4) - (-126)\/(-56))\/(-1). Suppose -2*q - u*q + 121 = -i, -3*q + 71 = i. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g - 142. Let c(o) = 3*o - 47. Calculate 7*c(r) - 2*x(r).\nAnswer: r - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6, 33 - 64 = -5*g - 2*u. Suppose 5*v + 36 - 8 = -4*c, 5*v - 7 = c. Let r = c + 4. Put 1, r, g, -5 in decreasing order.\nAnswer: g, 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3471)\/(-420) - (-4)\/14. Let y = 159\/4 + -39. Let s = y - d. Find the common denominator of -55\/7 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -27*s**2 - 2*s - 10. Let k(h) = 2*h**2 + h + 2. Calculate -5*k(d) - m(d).\nAnswer: 17*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3))**(-2\/29))**(1\/3) assuming k is positive.\nAnswer: k**(-8\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45\/887 + -33493\/109101. Let o = f - -1\/41. Let b = -911.1 + 911. What is the closest to -5 in o, -1\/5, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 6. Let b = 0 + y. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113832, -227666, -341500, -455334?\nAnswer: -569168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6689 + -6582. What is the highest common factor of 9 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 392, 873, 1546, 2411, 3468?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 3*u + 4*m, -2*m - 124 = -2*u + 112. What is the remainder when 269 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-2.406\nAnswer: -1.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*l = -37, -4*s - 5*l + 26 = -7*l. Let k(h) be the third derivative of h**5\/30 + 19*h**4\/24 - 5*h**3\/6 - 15*h**2. Is 20 a factor of k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502521550 (base 6) to base 10.\nAnswer: 8533290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**4 - 23*d**4 - 10*d**2 + 47*d**4 wrt d.\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3. Let q(m) be the third derivative of m**6\/120 + m**3\/6 + 23*m**2. Let r = 7 + -4. Calculate r*q(a) - t(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3555 - -0.0085. Let k = l - -0.34700139. Round k to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b**2 - 7*b - 6. Calculate n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3 - 9*m**3 + 2*m**3 - 7*m wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 9*u - 9. Let r be v(6). Calculate the highest common divisor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.043, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52883111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 + -193. Suppose 0 = -4*v + m + c, 0 = -4*v - 4*m + 115 - 11. Calculate the remainder when 40 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*k = 243, 0 = -b + 6*b + 3*k - 246. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164605\/2 - -82304. Suppose -5*d**2 + 27\/4*d - 1\/2*d**3 - 5\/2 + o*d**4 - 1\/4*d**5 = 0. What is d?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t - 30. Let y be v(-10). Suppose 0 = -9*a + 15*a - y. Solve 9*j = 11*j - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = 120. Let z = v + 35. Solve -2*j + z = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 z when three letters picked without replacement from {x: 5, t: 5, q: 3, p: 3, z: 1, b: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q + 116*q + 116 = 404. Solve -q = z, -16*z - 6 = -2*c - 11*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:32 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**5\/5 - 3919*n**4\/5 - 17284*n**3\/5 + 546964*n**2\/5 + 27552*n = 0?\nAnswer: -14, -1\/4, 0, 10, 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66924361 and 3739.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexeeeeeepe. Give prob of picking 1 x, 1 e, and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 6*f)*(-1 + 1 + 1) - 9*f + 0*f + 91*f + 94*f.\nAnswer: 179*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 81 = -4*w. Suppose 3*j - s = 7*j - w, 0 = 5*j + 5*s + 5. What is the third derivative of -j - 6*t**3 + 42*t**2 - 66*t**2 + 2 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(171))**2*-1.\nAnswer: -68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:56 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1832, 1841, 1856, 1877, 1904, 1937, 1976?\n\"Answer: 3*i**2 + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 3*j**2 - 4*j - 1. Let o be b(3). Suppose -30*v - 5*v + 94 = -11. Solve -v*z = -2*r + 16, -2*r + 2*z + o = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -362 or -336?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 65\/2. Let y = 0.8 + -1.5. Let n = y - -1.2. What is the closest to w in 4, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(931))*-3 + -2)**2 + 4*-1*(sqrt(931) + 1) + 1.\nAnswer: -238*sqrt(19) + 8401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-24))\/((-5)\/(-10))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 - 142.999863. What is c rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*w**4 - 134 wrt w?\nAnswer: 88*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 56, 27359, 2 in descending order.\nAnswer: 27359, 56, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 18*u + 2. Let h be v(-19). Let b be (-290)\/35 - (-6)\/h. Let o = 15 + b. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75570475.2 to the nearest one hundred thousand.\nAnswer: -75600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -328793 = -328800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/54*0*2\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3887331?\nAnswer: 3, 7, 37, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619 + 619.006339. What is o rounded to four dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 + 64\/(-132).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462791 is divided by 445.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 588, 8, -1700 in descending order.\nAnswer: 588, 8, -1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -114 + 0*w**2 + 5\/12*w**6 + 0*w**3 + 5\/8*w**4 + 0*w - w**5. Find d such that h(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 3*k - 2*k + 6*k - 7*k**3 as s*k + o + i*k**3 + v*k**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 416.6828 decades?\nAnswer: 41.66828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 24. Suppose -43 = 2*k - 19. What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352.6437 milligrams to micrograms.\nAnswer: 352643.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -351415669.42 rounded to the nearest 10000?\nAnswer: -351420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - -79) + (-27 - (-19 + 4)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t)*(-2*t**2 - t**2 + t**2) + 12*t**3 - 150*t**2 + 150*t**2 + (t + 2*t - 4*t)*(-18 + 18 - 6*t)*(0*t - 2*t - 2*t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in 0.4, -0.2, 5, 0.15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608005.\nAnswer: 5, 7, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1715 + -1715.3. Suppose 0 = -3*l + 2*l - 2. Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-730)\/(-9) - (1846\/(-234) - -8). Are v and 119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -3 + (17 - 24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 2\/3 (b) -6\/5 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 539.5 - 540. Let p = 0.19 + 0.81. Which is the closest to 2\/3? (a) -10 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/16*(-1 + 0)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*h - 344 + 344 as q*h + s and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u**2 + 4*u - 9. Let f be i(-11). What is the greatest common factor of f and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -56.\nAnswer: -55\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560660 by 4.\nAnswer: -140165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (112*o - 2380 + 2380)*(-5*o + 3*o + o)*(2*o + 4*o - 4*o) + (2*o + o - 4*o)*(1 - 1 + 2*o**2) as z*o**2 + n + v*o**3 + y*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1872)*-1 + sqrt(1872))*-5 + sqrt(1872) + sqrt(1872) + -1 + sqrt(1872) + -5 + 3)**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 468 and 0.01.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(3*h**4 - 2*h**4 + 2*h**4) + 2*h**3 - 2*h**3 + 3*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1\/2 (c) -1\/5 (d) -3\/38 (e) -34193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 786*o + 789. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1.6, -4, -1\/7, -1\/4 in ascending order.\nAnswer: -4, -1\/4, -1\/7, 3\/2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 2*v + 3*v)*(-2 + 6 - 2)*(8 - 3 - 2).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 - 2*c - 5. Suppose 512*m - 536*m + 96 = 0. Let y be 3*((-7)\/3)\/(-1). Suppose -m*s - 31 = -y. Calculate o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545*g*j + 3*j - 44 with respect to g.\nAnswer: 545*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(21\/9 + -2). Suppose 0 = 2*b - 4*c + c + 3, p = -c - 1. What is the units digit of (-6 + 0)*b\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2\/11))**20\/(l**1\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(1865\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -8*v + v. Is 6 + (-4)\/v*6842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253.7513 * -4.\nAnswer: 1015.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 2*y)*(3*y**2 + 4*y**2 - 6*y**2) + (-8*y**2 + 5*y**2 - 3*y**2)*(-7*y - 7*y - 3*y).\nAnswer: 103*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12353.29805342 take away 261?\nAnswer: 12092.29805342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 64, -2\/7, -2\/9 in decreasing order.\nAnswer: 64, 3\/11, -2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -145 + (-12 + -9 + -23 - -66)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*l - 367 = 12*u - 44, 3*u + 342 = 6*l for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1323*i**5\/2 + 1449*i**4 - 258*i**3 + 12*i**2 = 0?\nAnswer: 0, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -8 (c) -0.1 (d) 0.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 + -2.5. Let n = r - 0.1. Let j = -15 + 31\/2. Which is the nearest to n? (a) 0.2 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-17)*l)\/(l*l**2*l)*(l\/(l\/((l*l**(-17))\/l))*l)**(-2\/85))**32 assuming l is positive.\nAnswer: l**(-53376\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13158 or -13167?\nAnswer: -13158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19808 - -20236. What is the smallest common multiple of t and 3210?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -521, -1039, -1557, -2075?\n\"Answer: -518*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 168 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -955548315 and 450.1?\nAnswer: 955548765.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 146*w. Let i(o) = -9*o - 1. Calculate x(i(l)).\nAnswer: 81*l**2 - 1296*l - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16808, -33575, -50286, -66917, -83444, -99843?\nAnswer: -116090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174650168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6225 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*c + 31. Suppose c*z = 3*z. Suppose 2*n = -5*w + 120, 2*w - 4*n = -z*n + 48. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 464, 414, 272, -4, -456, -1126, -2056?\nAnswer: -3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2, c: 1, v: 1, n: 1}. Give prob of sequence tc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.5921 from -948159430.\nAnswer: -948159422.4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/1512?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 5. Calculate q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011011000101010010111101 - -101?\nAnswer: -11010011011000101010010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/7 (c) 1201.2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + (-45 - (-9 + 13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 1 - 7 - 214*i)*(2*i**2 + 6*i**3 - 2*i**2).\nAnswer: -1284*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/10 - a**4\/12 + 8*a. What is the third derivative of h(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:22 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 l when three letters picked without replacement from tqlqtugjlgtlg?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*q - 1001, -4*k + 5*q = -1079 - 912. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, -0.5, -1, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(288)*-3 + -5)**2 + 2.\nAnswer: 2160*sqrt(2) + 15704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*t - 175738, 0 = -4*c + 4*t - 122939 + 474415. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.9155 and 1185?\nAnswer: 8194.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 6. Let f be (-2)\/((-5)\/(165\/b)). Suppose 9 = 5*c - f. Solve -c*r + 12 = 4*z, 3*z + 0 = -2*r + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122132 and 1976.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.147 at least -129.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(21)\/(3*sqrt(3)*3))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 929, 1402, 1883, 2372, 2869, 3374?\nAnswer: 3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) 9 (c) 83 (d) 2 (e) 0 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1)*(-69)\/115\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 14*d + 4. Let j be u(-13). Let h be (-18 + j)*0\/2. Solve h = 5*i + 8 + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2150 - 1495. Which is smaller: b or 657?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 151489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 18 = -i - u, 0 = -5*i - 4*u + 19. Let t be (-1 - 0)\/((-1)\/i). Suppose 4*s = 5*s - 4. Solve -s*n = -t*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:51 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, -0.03, -111?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 131?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -380b65 (base 13) to base 9.\nAnswer: -2468036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 173 - -6?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 904 + 369. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/644 and -83\/4.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 203, 403, 603, 803, 1003, 1203?\n\"Answer: 200*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 81\/(-780) - 22\/(-143). Let b be (4 - (-1 - -4))\/(-1). Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let t be 1*-1 + -4*510\/(-24). Let r be (-45)\/t + 1\/4. Sort -4, 0, w, r in increasing order.\nAnswer: -4, w, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 1:58 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2)**2 + sqrt(22)\/(sqrt(33)\/sqrt(3)) + 0 + -1*sqrt(2) + (sqrt(8))**2*-3 + 0.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(1\/11))**(-49) assuming o is positive.\nAnswer: o**(49\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4844, -5079, -5316, -5555, -5796, -6039, -6284?\n\"Answer: -c**2 - 232*c - 4611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((((v*v*(v*v**15)\/v*v)\/v)\/v)\/v)*v*v)*v*v)**(-33) assuming v is positive.\nAnswer: v**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 16*z - 53. Determine o(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 6) to base 16.\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3. What is the lowest common multiple of n(1) and (-2)\/(-5) + (-198)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450621667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/912 != 12932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -26. Suppose -l = -4*o - 9. Solve 0 = a - 2*i + 6, 0 = 2*a - 0*a + 3*i - o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 2. Let c = 6.008 - j. Round c to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3367632 by 66032.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - 0) - (-345 + 352) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026432 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 - 3*c + 1. Determine a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -37 + 1. Let f(z) = -z**2 + 9*z + 4. Calculate the remainder when 5 is divided by f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1318, -1320, -1322?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1674, 3531, 5470, 7497, 9618, 11839?\n\"Answer: u**3 + 35*u**2 + 1745*u - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by (3\/(-12)*10 - -2) + 1233\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279511*b**3*x**2 - 17*b**3 - 113*b**2*x**2 - 28002*b*x**2 - x**2 wrt b?\nAnswer: -1677066*x**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 - (0 - -1) - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*c - 53365 = -2303*c - 1621 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -4699*m**3\/6 + 2276*m**2 - 2*m + 333. Find the first derivative of p(n) wrt n.\nAnswer: -4699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -615 and -615 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, k: 8, c: 1}. Give prob of sequence uk.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8782668811 + 52889231793619\/6022. Let s be ((-4)\/20)\/((-27099)\/90). Let l = s + a. Calculate the common denominator of -45\/86 and l.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2147 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-4)\/(-20))\/((-2)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011010100001101 (base 2) in base 12?\nAnswer: -1455a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -f + 4*c - 135, 14 = f + 4*c. Solve -f*p + 23 = 7 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (74 - 70 - ((-4 - -4) + 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(76) - sqrt(76)*-2) + 5 - (sqrt(76) + 3 + 2 + sqrt(76) + 2))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 835 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3175)\/175 - 2\/(1 - 15). Let g = 13 + v. Let p be 2*(g - 1)*2\/4. Let t(a) = a**2 + 8*a + 6. Determine t(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/17)*k)\/k**2 assuming k is positive.\nAnswer: k**(-23\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 6. Let a(s) = -26*s**3 + 26*s**2 + 16*s - 1. Let q(g) = 5*g**3 - 5*g**2 - 3*g. Let o(n) = 2*a(n) + 11*q(n). Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, o: 1, y: 2, s: 1, l: 1}. What is prob of sequence sy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 15. What is the lowest common multiple of s and ((-891)\/(-18))\/9*(-2 - -4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 2*b**2 - 6*b**2 + 4 + 5*b**2. Suppose 3*d + 5*r - 10 = 2, -20 = -5*d - 3*r. Suppose 0*t + 15 = 4*q - 5*t, 2*t - 22 = -d*q. Calculate l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20756 is divided by 117.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 2\/273419.\nAnswer: 0, 2\/273419, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.68271l?\nAnswer: 1682.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -212*n + 2. Let c(v) = v - 2184. Determine d(c(a)).\nAnswer: -212*a + 463010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274104.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8 (c) -0.5 (d) -1\/7 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 + 3853\/22. What is the common denominator of s and -75\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 4. Let y be u(4). Suppose -w + y = w. List the prime factors of w\/14 + 244\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 280 = -0*g + 2*g, -2*i = -10. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + 0.38. Let y = 147 - 152. What is the smallest value in b, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomomomrooooommmoo. Give prob of sequence rm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, 67.\nAnswer: -56, -5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -909 - -1371. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3\/2 + 18*d**2 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9426 rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14 = -2*b + 4*b, -5*f - 4*b = -13. Let m(n) = n**3 - 5*n**2 + n - 3. Give m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239178 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 261338383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - y - 10 + y**2 + y**3 - 3*y**3 - 4*y**3. Give c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*g**5 + 5*g**3*w + 17259*g**2*w + 3514*g*w + 22*g - 14*w wrt g.\nAnswer: 1520*g**3 + 30*g*w + 34518*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1467186 - 92438789\/63. Let l = w + 830\/9. Find the common denominator of 19\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2961)\/(-2820)*(7*-20)\/(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 49*m**2 - 73*m + 1158. Give r(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1725188 = 3*m - 0*o + o, 4*o + 4 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -194.\nAnswer: -111\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-207)\/(-27) - 4\/6. Let f be (i + -31)\/(3\/28). Does 14 divide f\/(-12)*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57258220309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a hour in seconds?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 286*q**2 + 389*q + 30429. Determine r(-285).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqyq when four letters picked without replacement from {x: 6, y: 2, a: 8, q: 3, j: 1}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-1992)\/(-9130)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 5*c - 4. Let h be t(-5). Let b = 6 + h. Find z, given that z**3 - b*z**3 + 0*z**4 + z**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20*k**2 + k - 3. Let c(a) = 19*a**2 - a + 3. Let q(f) = -b(f) - c(f). Let o(u) = -151*u. Determine o(q(w)).\nAnswer: -151*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -260 + 266. Let d(t) be the third derivative of 15*t**4\/8 + 17*t**3\/6 - t**2. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8\/3 (b) 1\/4 (c) -0.53 (d) -0.4 (e) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4184*q**2 + 1229*q**2 + 1474*q**2 + 1483*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3196 and -25639?\nAnswer: 81942244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 350888683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*o - 176*o + 241*o + 202*o.\nAnswer: 453*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/13, 10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2443849.7827 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*s**3 + 114*s**3 + 495*s**3 + 486*s**3.\nAnswer: 928*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16554.2 - 4165518.\nAnswer: -4182072.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158913308*u**4 - 63331910*u.\nAnswer: -1906959696*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/25*2*(-3)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, n: 1}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 38*q - 6197. Determine n(-36).\nAnswer: -3533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**8\/168 - 8*p**7\/105 + p**6\/10 + 4*p**5\/15 - 7*p**4\/12 - 259*p**2. Solve q(b) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 10 = -18*k - 4*t, -5*k + 11 = 3*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -5*p**4\/6 + 10*p**3\/3 + p**2 - 154*p. Let x be h(2). Solve -17*m + 18*m - x = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817 - 821 = -f. Find a, given that -11\/2*a**2 - a - 8*a**3 - 7\/2*a**f + 0 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*a**3 + 1240*a**3 - 375*a**3 - 426*a**3.\nAnswer: 243*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 94*d + 1790. Give v(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -984 + 987. Which is the nearest to -42? (a) 5 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 59)*(-9)\/3. Let q = 273 - k. Suppose q = 5*t - 26. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 5*d + 6, 4*l - 2 = 6*d. Which is smaller: 4\/31 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -818, -807, -782, -737, -666, -563, -422, -237?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9529.942nm in millimeters?\nAnswer: 0.009529942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*t - 144 - 114, -30*r + 2272 = -2*t. Suppose 3*n - 228 = -3*y, 4*n + y - 202 = 105. Does n = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, 28, 83, 156, 247, 356, 483?\n\"Answer: 9*t**2 + 10*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*o + 394 + 363 = 245. Solve -23*f + 21*f - 4*a = -8, -o*a + 12 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 5*i**2 + 5*i. Let d be (-7)\/35 - (52\/(-10) - -1). Let b(t) = -2*t**3 - 6*t**2 - 6*t. Give d*b(v) + 5*f(v).\nAnswer: 2*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649096.873 - 649398. Let v = -0.05781 + -300.94219. Let o = p - v. What is o rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 239 (b) 4 (c) -16 (d) 0.3 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3421711 - 5671711. What is g rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 24 = 3*y - 6, 209*g + 197*g + 4*y = 409*g - 24 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624527793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.24 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/37? (a) -0.05 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let z(j) be the first derivative of 5\/2*j**2 + 3 + 0*j - 4\/3*j**3. Let t(y) = -2*y**2 + 3*y. Let w(q) = 5*t(q) - 3*z(q). What is w(m(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 276\/40 + 2\/4)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 9:28 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + -1 + 0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 98, 139?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5026?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1840\/(-24840) + 6472\/(-108).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1209 and -9.\nAnswer: -10881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 332137006?\nAnswer: 332137006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b3 (base 14) in base 13?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12628 times 0.046\nAnswer: -580.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25402 and 0.1.\nAnswer: 2540.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 499894 and 4.\nAnswer: 999788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358990897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -314 - -314.1. Let j = 18 - 94\/5. Let w = 0.73 - -0.27. What is the closest to j in s, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqtqutq. What is prob of sequence qd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -744 - -747. Let k = -1 + 2. Which is the third biggest value? (a) k (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17582, -17583, -17584, -17585?\nAnswer: -17586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 883 + -864. Solve g*v - 84 = -23*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from zzznnznznnzz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/8 + m**3\/6 + 4*m**2. Suppose -2*v = n - 2*n - 6, -5*n - 2*v + 30 = 0. What is the units digit of u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.955621 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(2448) + (sqrt(2448) - (1 + sqrt(2448))*6)**2 + -4 + sqrt(2448) + 0) + -4.\nAnswer: -183700 - 2232*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3 = -1, 5*m - 7 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2846*o + 1542*o - 4044*o as p*o + y and give p.\nAnswer: -5348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5501, -8900, -12299, -15698, -19097, -22496?\n\"Answer: -3399*z - 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)*u)**(-2\/13)*(u*u**(-2\/23))\/(u*u**(-2\/17)) assuming u is positive.\nAnswer: u**(-5322\/55913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -630.3 and -2385.8294.\nAnswer: -3016.1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637940954 to the nearest integer?\nAnswer: 25257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(5*d - 2*d - d + (1 - 4 - 1)*(2*d - 6*d + 2*d) - d - d + 4*d + (476 + 390 - 515)*(-d - d + 3*d) + 2*d + 0*d - 5*d).\nAnswer: -360*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2479.327.\nAnswer: -9917.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35982 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16736006 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {r: 2, s: 4, v: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165658?\nAnswer: 2, 3, 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(242) + 1)*6*-5 - 5*((sqrt(242) - (sqrt(242) + 4 - sqrt(242) - sqrt(242))) + -1)) + -4)**2.\nAnswer: 24640*sqrt(2) + 1548996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + 0*w - 5*w)*(7 - 3 + 3) + 0*w + 12*w - 3*w)*(w - 3*w + 4*w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.8416mg to grams.\nAnswer: 0.7268416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4176.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 15*i**2 + 6. Let f be w(-15). Suppose -f*z = 74 - 86. Solve 4*q = -6 - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2705 (b) 0.2 (c) -393 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -711 divided by -3.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*x - 2, 7*g - 3*g - 20 = 4*x. Let w(o) = -5*o**g - o + 90 - 3*o - 94 - o**3. What is w(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1005 - 5?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72787, 145580, 218373, 291166, 363959?\nAnswer: 436752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 25 (b) 54\/7 (c) 4\/9 (d) 0.1 (e) 7 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 122233 (base 4) to base 7\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/50 + -33\/50. Put 2, 0, i in descending order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8989 and 12221.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -44. Suppose -v - 15 = -5*d + x*v, 4*v = 0. Suppose -d*f = q - 9 - 187, -f = -2*q - 70. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1594348872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:09 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2707312 greater than -2707312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1551)\/(-273) - (-8)\/896*-16. Factor 24\/13*b + a + 2\/13*b**2.\nAnswer: 2*(b + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18998*p - 6298 = 9518*p + 9386*p for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*(-9693)\/(-12565)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 120\/18*3\/2. Suppose -p = -z + 4. Suppose -c + 10 = -z. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 20.88064ms?\nAnswer: 20880.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 799410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15421\/11 + -1400. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a - 8. Let z be d(-7). Let b be -2 - -2 - (-2)\/z*0. Suppose -j - 19 = -4*f - 1, b = -2*j + 4. Solve -x = 4 - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1.67 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1960*v**3 + 3853*v**2 + 28*v - 7. Let b(s) = -1307*s**3 - 2568*s**2 - 20*s + 5. Let k(z) = -7*b(z) - 5*i(z). Find the third derivative of k(t) wrt t.\nAnswer: -3906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4503 - 1440?\nAnswer: -6143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237)\/(-6) - 6290\/340?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10))\/(445\/(-20) - -5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 37*q**3 + 2*q - 1. Does 19 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26716971377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1296)\/12150*18\/48?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-3) + 2\/(-6). Suppose -k*c = -0*c + 3*z, -5*c = -5*z - 20. Is (11732\/(-70))\/(c\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**14*p)\/p**(-3\/5) assuming p is positive.\nAnswer: p**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-189) - 8\/((-2880)\/2990).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u + 3*n, 415*u + n = 416*u - 2. Sort u, -4, -12, 5, -3 in descending order.\nAnswer: 5, u, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 5. What is the lowest common multiple of w(-6) and 4 - (-22)\/((-22)\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 - 4*b. Let j be k(-3). Let p be 144\/45 + 2\/(-10). Suppose 30 = 8*g - p*g. Solve -j*w - g = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -19. Let f = -4 - z. Suppose -f*p = -3541 + 791. What is p rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 0. Let w = 0.99 + -1. Let g = 0.99 - w. Which is the closest to p? (a) -3 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 30 - 3)*(2 - 2 - f) + 8*f - 27*f - 23*f - 4*f - 3*f + 3*f to g + m*f and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39859513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-23)\/(-25))\/((-50)\/(-750))*5?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctyryryscy. What is prob of picking 1 s, 2 r, and 1 t?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, c: 2, k: 2, r: 1, v: 4, p: 3}. Give prob of picking 1 r and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - -57 - (-5 + 0) - (8 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16300, 16285, 16254, 16201, 16120, 16005, 15850?\n\"Answer: -l**3 - 2*l**2 - 2*l + 16305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4973525009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l = -4*c + 1744, -c - 872 = -2*l. Suppose 3*x = 5*h + 476, -h = 3*x + 4*h - l. Let z = -22 + 41. What is the highest common divisor of z and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/14 + (-2)\/4. Which is greater: 2\/323 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 245, 235, 219, 197, 169, 135, 95?\n\"Answer: -3*a**2 - a + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 12 (c) -3 (d) 2\/9 (e) 994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*m = -570, -2*m - 2*m - 210 = -2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -889, -7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weel when four letters picked without replacement from {w: 1, l: 1, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 22\/17007781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(17\/(-5) + 3). What is the second derivative of 3*v**3 - 14*v + 3*v**3 + 5*v**p + 27*v wrt v?\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -658023, -1315918, -1973813, -2631708?\n\"Answer: -657895*g - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -3*k, -2*d - 4*k = k + 11. Suppose 5*q = -3*h - 3299995, -3*h = -4*h - d*q - 1099998. What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (-7 + 2 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1362 + -196. List the prime factors of a.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 10*y**2 + 3*y - 12. Let x be i(-6). Let c = 222 + x. What is the lowest common multiple of 8 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49858 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 5*o**2 - 43*o + 57. Give z(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3508*v = 3*p - 3506*v - 33 - 66, 2*p + 219 = 5*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -37a?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 13*o = 3*h - 14, -10 = -2*h + o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 3)*(4 - -1) + 5. Which is the second smallest value? (a) 2\/3 (b) o (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 4444*o**5\/5 - 192*o**3 - 111. Find the third derivative of l(b) wrt b.\nAnswer: 106656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/54 - (-128)\/(-192).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 2*z - 12*z + 3*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17\/4, -6, 1\/4 in descending order.\nAnswer: 5, 17\/4, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 + 3 - 14 - (0 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 - o**3 - o**3)*(-122*o + 10626 - 10626) to j*o**2 + c*o + m*o**4 + y*o**3 + v and give m.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 29*l**2 + 40*l - 18. Calculate n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 = 83. Let x = -11 - q. Find the second derivative of -15*j**2 + 9*j**2 + 3*j + 0*j**x - j wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 2*z**5\/7 + 3*z**4\/14 - 4*z**3\/21 - 5. Factor b(o).\nAnswer: 2*o**2*(o + 1)*(5*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x**(-1\/6)*x))\/x)\/x**0)\/(x**1*x*(x*x**(3\/7)\/x)\/x))\/((x*x**(-1)*x*x*x*x)**(-24\/5)*x**4\/(x\/((x\/(x*(x**(-2\/15)*x)\/x))\/x))) assuming x is positive.\nAnswer: x**(3319\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*r - 21318, 2*r + 0*r + 3*y - 21310 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 905\/4. Let f = 0.2 - 0.7. What is the second biggest value in 4, w, -0.4, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-204) - (-32 - 654360\/(-26775)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) - (-3 + 3 + sqrt(13))) - (2*sqrt(208) + sqrt(13) + (sqrt(104)\/(sqrt(8)*2))**2).\nAnswer: -9*sqrt(13) - 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/852 and 89\/36.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2595*p + 166904 - 166904 to the form u*p + t and give u.\nAnswer: -2595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -20*m**3 - 60*m**2 - 15*m - 5. Let t(i) = -20*i**3 - 61*i**2 - 12*i - 6. Let c(q) = -6*b(q) + 5*t(q). What is l in c(l) = 0?\nAnswer: -2, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(2\/83))**(-1\/25)\/(((i*i*i\/(i**(-2\/5)*i*i*i)*i)\/i*i)\/(i**(-3\/4)\/i)*i**(-7)\/i**(-3\/5)) assuming i is positive.\nAnswer: i**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36433*p**3 + 13*p**2 + 36*p + 70660. Let d(z) = -14573*z**3 + 5*z**2 + 14*z + 28264. Let s(j) = 5*b(j) - 13*d(j). Differentiate s(x) wrt x.\nAnswer: 21852*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-105)*(-9)\/(-6)*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -525 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 424525\/225 + 2\/9. Let x(w) = 944*w**2 + 946*w**2 - y*w**2. Let f(u) = -2*u + 19. Give f(x(g)).\nAnswer: -6*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*f + 8, 9 = s + f + f. What is the units digit of 20 + (-3 - s) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -177*j + j**3 - 8 + 0*j**3 - 3*j**2 + 181*j. Calculate the least common multiple of 28 and s(4).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -7, -27, -57, -97, -147, -207?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 170 = 2*y, 189 = 4*z - 4*y + 13. Let a = z + -36. Solve p - a*p = 20, -p - 5 = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -83. Let j = -86.8 + l. Let i = 11 - j. Which is smaller: i or 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.0657, 8, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(80))**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11008 by 256.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8936.715 micrometers in millimeters?\nAnswer: 8.936715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 63297?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o - 2. Calculate w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*f - 2*m, 3*m - 20 = -101*f + 99*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**8\/168 - b**6\/60 + 83*b**5\/60 + 149*b**4\/2 - 2*b**2 + 603. Find the second derivative of f(o) wrt o.\nAnswer: 40*o**3 - 12*o + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133749 or 133745?\nAnswer: 133749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 74*a - 127. Give h(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 2*r + 5*r + 12*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/22, 20, 2?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 946620 smaller than 946659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5917.5881 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79030940*u + 328141963?\nAnswer: -79030940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 20 = -4. Let m(n) be the second derivative of 1\/63*n**7 - 1\/9*n**4 + 2\/45*n**6 - 1\/9*n**c + 0*n**2 + 0*n**5 + 0 - 7*n. Factor m(b).\nAnswer: 2*b*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 168*g + 1764.\nAnswer: 4*(g + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 2*h**2 - 2*h + 2. Let p be k(2). Let b = p - 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -8 in decreasing order.\nAnswer: -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 973177883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/6)\/2)\/((-1)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {d: 1, f: 7, h: 2, i: 1, j: 5}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -14 - 19 + 13*t + 33. Let p(s) = -5*s**2. Give z(p(o)).\nAnswer: -65*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(6)\/sqrt(3) - (-2*sqrt(2) + -2).\nAnswer: 3*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 84868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 532423414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*f - 72*f + 9405. Let m = 739 + f. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9116 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5*q**2 - 131*h**5 - 2*h**2*q**2 - 22*q**2 wrt h?\nAnswer: 60*h**2*q**2 - 7860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 7. Let t(s) be the third derivative of -s**6\/120 - s**5\/20 + s**4\/24 - 3021*s**2. What is t(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19666237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 35133?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7*v - v + 6*v + 2*v + 5*v + 2*v + (-v + 4*v - 4*v)*(1 - 4 + 1) + 18 - 18 - 17*v as z*v + d and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6900.148cm to micrometers.\nAnswer: 69001480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13824488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/150 + 7*v**4\/8 - 26*v**3\/15 + 2461*v**2. Determine l, given that q(l) = 0.\nAnswer: 1\/2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1610197018 smaller than -1610197018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.8 or 15\/308?\nAnswer: 15\/308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42226443 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i*i)\/i)**6 assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -317 (c) -24.4 (d) -0.4 (e) 269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382721, -382725, -382729, -382733, -382737?\nAnswer: -382741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -691*x**2 - 7*x + 5*x**3 + 687*x**2 + 0 + 39 - 10*x. Calculate the remainder when 82 is divided by c(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k. Let d be o(-1). Suppose 4*t - 2*v = -d*v, t - 5*v = 12. Suppose -124 - 184 = -t*p. What is the highest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Suppose 5*s - 3*s - 12 = -4*y, -y + 4*s - 15 = 0. Suppose o*d + 30 = 5*h, -5*d + y = -4*h + 16. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558*y - 538888 = -1502*y. Are y and -9624 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = -q + 5*r, -3*q - 46 = r. Let i = q + 22. Suppose 0 = o + 4 - 7. Solve -k - 3 = -x, o*x - x = -4*k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 15*o + 3810. Round o to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14 - 335118\/(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n - 26*n = -15*n - 26070. Calculate the smallest common multiple of 270 and n.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1512371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - h + 4 = -0*l, -5 = -5*h. Suppose -2*a = -7 + 3. Suppose 0 = -l*o - a*o - 3250000. Round o to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + 2*sqrt(1000))*3)\/((-5*1*sqrt(10))\/sqrt(5)))**2.\nAnswer: 3969\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:27 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3624, -3625, -3626, -3627, -3628, -3629?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 268?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/255 (b) -0.26 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212604 or 1063021\/5?\nAnswer: 1063021\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 4.4. Let u = -149.958 + 150. Let h = 0.158 + u. What is the closest to b in h, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613283613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 41 + (10 + 8 - 22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4559?\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*m - 206852 = 359236, 3*m + 2264352 = 4*l. Let i = l + 3533912. Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130165*u**4 + 22788 wrt u.\nAnswer: -520660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237781\/3 >= 79261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 563943 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 5, 0 = 2*h - 4*g - 104. Calculate the remainder when h is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64.4 - -64.45. What is the nearest to r in 3, 1\/11, -6\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3729, 3789, 3849, 3909, 3969, 4029?\n\"Answer: 60*l + 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 12. Let i(o) = -2*o**2 + o - 4. Let n(y) = -3*y**2 + 2*y - 9. Let u(h) = c*n(h) - 9*i(h). What is the units digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -22*k + 1146. Suppose -11*c + 8*c + 4272 = 3*f, 0 = 2*c + 4*f - 2840. Calculate the greatest common factor of c and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7164791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 2*p**4 + 39*p**3\/4 + 17*p**2\/4 + p\/2 = 0. Calculate p.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 13. Let i be p(3). Let n be (-75)\/9 + i\/(-3). Let x = 16 + n. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 335*z**2 - 5*z - 20. List the prime factors of d(4).\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by 5.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226591, 906342, 2039269, 3625378, 5664675, 8157166, 11102857?\nAnswer: 14501754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6935 and 27366897?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 918 - 411. Let t = 722 - p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f + 309*f + 69*f.\nAnswer: 320*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**3 + 4*i**3 + 10*i**3)*(-286 + 459 + 115) + (-1 - 2 + 1)*(0*i**3 - 2*i**3 + 3*i**3).\nAnswer: 2014*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 3 (c) 33\/6415 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2040 + 2*j**2 + j**2 + 80*j - 93*j + j**2 - j**3.\nAnswer: -j**3 + 4*j**2 - 13*j + 2040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -560 in increasing order.\nAnswer: -560, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Let r be 2\/7 + (-132)\/(-28). Suppose q*w = r*w - 40. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**5*p**3*p*(p\/p**(-1\/4))\/p)**(4\/15) assuming p is positive.\nAnswer: p**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/3 (b) -1\/2 (c) 3 (d) 23 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64571 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -2, 3, 0.\nAnswer: -2, 0, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from qixxdi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**3 - i**2 - i + 1. Let z = -49 + 50. Give v(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + ((sqrt(91) - -2*sqrt(91) - sqrt(91))*-1 - 2*sqrt(91)*3)\/((sqrt(252)\/sqrt(4))\/sqrt(9)*4).\nAnswer: -8 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25696463 by 1303.\nAnswer: -19721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - (-837)\/(-18). What is the remainder when 7 is divided by 51\/(-68) + a\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 4, b: 6, d: 3, q: 1, e: 4}. What is prob of sequence bq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38864 = -359*k + 616*k + 437*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83172 is divided by 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((30\/(-5475))\/((-2)\/(-10))). Suppose f*y - 81*y + 16 = 0. Which is the nearest to y? (a) 1 (b) -1\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/6 - 4*f**3\/3 - f**2. Let o be d(7). Suppose 4*t = -o, -3*p + 406 + 256 = -t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**5*y - 25549*p**3*y**2 + 147*p*y**2 + 3*p - 16*y**2 + 3 wrt p.\nAnswer: 80*p**3*y - 153294*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = -3*n + 26, 3*p = -4*n + 42. What is the third derivative of 22 - 22 + n*r**6 - 4*r**6 + r**2 wrt r?\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -0*o - 3*o. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5, -2*a + 270 = -6*s + s. Let p = -32 - s. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043210 (base 5) to base 12.\nAnswer: 17944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**2*n + 9*i**2 - 3*i*n**4 + 19*i + 2*n**4 wrt n.\nAnswer: -8*i**2 - 12*i*n**3 + 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7.75*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66392 - -2?\nAnswer: -66390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anml when four letters picked without replacement from nnnmnlalama?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/4052724 and -71\/179036?\nAnswer: 44579964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.6 and -390 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -469658880 divided by 10365?\nAnswer: -45312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5580 and 16?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7521*o - 23535 wrt o?\nAnswer: 7521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 139 - -19 - (-4 + -12)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 4. Let f be (-6)\/15*-5*(-1 - 1). Let r(q) = 21*q - 4. Let w(t) = 5*t - 1. Let z(m) = -4*r(m) + 18*w(m). Calculate f*l(d) + 7*z(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*r = -59 - 97, 3*h - 2*r = 154. Let q be (-8)\/32 - (2 - h\/8). Factor -3*u**4 + 8*u**2 - 8*u**3 - u**4 - 231 + 4*u + q*u**5 + 227.\nAnswer: 4*(u - 1)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 4*y + 2. Let i(q) = q**2 - 1. Let k(f) = -a(f) - 2*i(f). Find the second derivative of k(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1108*l**4 - 269275*l**3 + 269275*l**3 + (-4*l**3 + 3*l**3 + 3*l**3)*(-2*l + 0 + 0) + 2*l**4 - 3*l + 3*l.\nAnswer: -1110*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118072576 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d - 394. Let o be f(-87). Calculate the greatest common factor of 2624 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000505 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.66967 rounded to 1 dp?\nAnswer: 283.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = -3*o + 2, 2*o = -3*d + 3. Let u(m) = -m**2 + 2*m + 1. Suppose 0*r = -3*b + 4*r + 6, 0 = b + 3*r - 2. Let g be u(b). Is g greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 - 13*f + 11. List the prime factors of p(9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z + 5. Let l be j(4). Let r(f) = -11*f**2 - f - 6. Let u be r(-7). Calculate the common denominator of u\/(-24) + l\/(-9) and 9\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -5, 0.4, 2, -286.7, 399?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -88*c - 4712. Calculate y(-56).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 2. Let l = j - -0.9. Which is the second biggest value? (a) 1\/3 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 324? (a) 2\/3 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -26, -31, -4, 73?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from gggooooogggoop?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 7. Let p = 7.7 + -8. Which is the nearest to -3\/4? (a) p (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10709*b - 27652 wrt b.\nAnswer: 10709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219.42 - 226.2. What is t rounded to one dp?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/8*(4114\/(-1815))\/((-187)\/110)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 1529 - 422. Calculate the lowest common multiple of 7 and x.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 2112001?\nAnswer: -2112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189038447.\nAnswer: 13, 14541419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from cccceecccecccc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y - 18*y + 9*y - 3. Let u be g(2). Suppose 0 = -b + 2*b - 5*h - 29, u*b = -3*h - 3. Calculate the highest common divisor of b and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7146600 and 59\/7146600?\nAnswer: 7146600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10.6. Let h = f - 0.3. Let l(i) = -i**2 + 15*i - 26. Let x be l(13). What is the closest to 0.1 in h, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.368 + -0.032. What is the nearest to 1\/5 in 4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -f + 6*n + 16 - 0, -f - 244 = -19*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/663 and -73\/273?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76129.88 litres to millilitres.\nAnswer: 76129880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 23.\nAnswer: 126\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 2*f**3 - 3*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4548 and 2544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -616 - -872. Calculate the remainder when i is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81250096 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2301289 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*x + 21 = 212*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.012.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1. Let r(t) = t - 1. Let a(g) = -2*q(g) + r(g). Let u be 1\/3 - (-4 + (-21)\/(-9)). Let c be a(u). Is 2\/7 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*984\/656*2\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7155917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 85?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 - 305. Sort 0.4, g, 2\/13, 5 in descending order.\nAnswer: g, 5, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85652931.\nAnswer: 3, 7, 13, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 18985*x + 25706*x + 4 - 4)*(x**2 - 2*x**2 - x**2).\nAnswer: -13442*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 25. Let b = 3 - 7. Let c = b - k. Solve -3*y + c = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191101.6mm in kilometers?\nAnswer: 0.1911016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1424*h**2 + 2853*h**2 - 1418*h**2 + 223)*(0*h - 4*h**2 + 0*h) to s*h**3 + z + p*h**4 + m*h**2 + v*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05459178 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -16. Let l be 0 - a - (-4 + 4). Solve l*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/(-18) + (-3)\/9. Let n(t) = 2*t**3 - 3*t**2 - 2*t. Let h(j) = -j**3 + j**2 + j + 1. Calculate k*h(c) - n(c).\nAnswer: c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 6.766\nAnswer: -27.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - -153 - 2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d - 2*d)*(3*d + 2 - 2)*(-4 - 4 + 3)*(-1 + 2 + 4) in the form a*d + j + s*d**2 and give s.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 16*v**2 - 14*v - 34. Let c be x(9). Let l(b) = b**3 - 16*b**2 + 15*b - 20. Let a be l(15). Sort 0, a, -1, c in descending order.\nAnswer: c, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261 = -4*d - m - 2265, m - 8 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:35 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Suppose 3*a - 3*s = 18, -a + u*a - 11 = -4*s. Suppose -4*n - 4*b = -204, 48 = a*n - b - 189. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98179*r**4 + 288*r**2 + 449*r + 2 wrt r.\nAnswer: -2356296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukkkzzuz. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85410397.\nAnswer: 17, 5024141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 + 34. Let a = r + -98. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w + 3*u - 8*u, 24 = 4*w - 4*u. Suppose -3*o - 10 = -2*g, 5*g = w*g - 2*o - 5. What is the closest to 3 in 4, g, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y. Suppose 5*a - 29 + 4 = 0. Suppose -h - h = -5*q + 23, -26 = -2*q + a*h. Let f(r) = -3 + q + r**2. Determine c(f(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-17 + 15)) + 1 + -4 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 10 - 0. Solve r*n = 2 + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.16*0.5\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 42344361?\nAnswer: 42344367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 9:57 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 4*r + 2. Let v be d(2). Suppose -m - v*m - 14 = 0. Let z(y) = 65*y**2 - 1. Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnd when four letters picked without replacement from rnynrrhyryrdrnh.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322 - -22?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 1 (b) 5 (c) 20 (d) 978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*x**3 - 4*b**3*x**2 + 8*b**3*x - 2*b*x**3 - b*x + 33*b - 3708*x**3 wrt x?\nAnswer: -36*b**3 - 12*b - 22248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4. Suppose 4*i - 4*w + 2*w = 0, w - 14 = -5*i. Suppose -5*o + 7 + 9 = i*n, 5*n + 10 = 0. What are the prime factors of t(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1055 + 1093. Sort -0.4, 0.07, x in descending order.\nAnswer: x, 0.07, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/812 and 37\/52745.\nAnswer: 6118420","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14344, 14345, 14346, 14347, 14348, 14349?\nAnswer: 14350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 7055 = 198*h + 156*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232743 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98592 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-14) - -2)*14\/10. What is the smallest value in 2, d, 0.3, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.43 - 44.6. Let p = l - -0.07. Which is the smallest value? (a) -6 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2990*k**4\/3 - 7222242*k**3 - 2864584*k**2 + 28984*k\/3 = 0. What is k?\nAnswer: -7246, -2\/5, 0, 1\/299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1063161836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2848319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*p - 1121, p = 4*a + 107 + 240. Let g = -107 + p. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 1 l when three letters picked without replacement from {h: 1, w: 1, u: 7, l: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 5, t: 3}. What is prob of sequence sost?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 + 20 = 0. Let n(b) = b**3 - 14*b**2 - 14*b - 6. Calculate n(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, d: 3, v: 4}. Give prob of picking 1 d and 1 g.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 5*q - 18*q)*(-3*q - 3*q + 4*q + 3 - q - 3 + q + 0*q - 2*q + (1 - 1 + 1)*(-3*q + 2*q - q) + 1 - 1 - q + (5 + 4 - 3)*(1 - 1 - 3*q)).\nAnswer: 275*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -590, -569, -550, -539, -542, -565?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from nrrnrnnrrrr.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*h - 782 = -3246 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71796214 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 136*p - 7476. Let i be b(55). Solve 0 = d - i*g + 17, -2*d - 19 = 190*g - 193*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*x + 295*x = 276 + 4 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2829 and 1932.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.78493 days in weeks?\nAnswer: 86.25499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 0.4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 110 + 3*f)*(-4*f + 2*f + 0*f)*(-6 + 1 + 4)*(-29 - 11 - 29).\nAnswer: -414*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**4\/7 + 54*z**3 - 2600*z**2\/7 + 378*z + 2020\/7 = 0?\nAnswer: -101, -1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 4*p - 20. Solve -3*v - p*f + 25 = 0, -v - 2*f + 10 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 165 + 33. Let g be (-10)\/(-15)*d\/(-4). Let p = g + 11. Solve f + p = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 - 5801?\nAnswer: -5799.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 37 = -47 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let p(u) = -u + 1. Let l(b) = -2*b**2 + b + 4. Let r(d) = -1. Let j(g) = 2*l(g) + 10*r(g). Let t(i) = j(i) + 2*p(i). Give y(t(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22099 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2292448650 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -88. Suppose -12*y + 4*y = v. Suppose y = 5*n - 56 - 14. Is n 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 286928, 286926, 286924?\nAnswer: 286922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2202.9+-25841985\nAnswer: -25839782.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/d**6*(d**(-2\/3)*d*d)**(-2\/19) assuming d is positive.\nAnswer: d**(-521\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*y**2 + 62*y**2 - y**4 + y**4 + 4*y**4 - 149*y**2.\nAnswer: 4*y**2*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16920616 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:08 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, m: 6}. What is prob of picking 2 t and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128974113 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54343252 (base 6) to base 14.\nAnswer: -300a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6*p = -18. Suppose -2 = -4*u - 2*f, -p = f + 2*f. What is the smallest common multiple of u\/(-6) - (427\/(-42) - -1) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Suppose -3 = m*f + 13. Let j = -40 - -39.9. What is the third biggest value in f, -0.5, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:26 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-24))\/(500\/(-160))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 4*x = 17*p + p - 6, -4*x = 4*p + 124 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 17*x - 504 = 0. What is the hundreds digit of (-15)\/(1 - x\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -12 + 82 + -13 + 18 - -15.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3287.\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 11 + 20 - 7 - 6 in the form g + o*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*u - 25, 0 = -s + 6*s - 3*u - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 43\/(1032\/180) - (-410)\/(-268)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-6*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156) - sqrt(156) - sqrt(156))\/sqrt(12) - sqrt(13)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16*p + 1. Let l(w) = w - 1. Let x(d) = -f(d) + 2*l(d). Let m be x(2). Suppose 0 = -v + 5*s + 11 + 4, -4*s = v - m. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474.1 + 474. What is the nearest to -2 in -2, -6\/7, -1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {u: 9, s: 11}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 9*s - 11. What is d(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*r**2 + 132*r**2 - 401*r**2 + 4428*r**3 + 135*r**2.\nAnswer: 4428*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 - 5. Let b be i(5). Let h = -8666 - -8762. Let j = h - b. Calculate the remainder when j is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-1)\/q)*q*q*q*q**(7\/5)*((q\/(q\/(q\/(q\/((q*q**(-5)\/q*q*q*q)\/q)))))\/q*q)**(-6\/13) assuming q is positive.\nAnswer: q**(571\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i - 43*i - 84*i - 1. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -165 + -154?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:29 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2\/13 (b) 1\/5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 39*q**2 - 39*q - 43. Calculate l(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/231)\/((-1)\/(11\/6)). What is the biggest value in x, -4, -1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o = 536*o - 29828 + 5888 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/15 - 30*n**2. Let w(a) = -5*a - 1. Determine y(w(m)).\nAnswer: 100*m**2 + 40*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-180) - (515\/(-45) - 14\/(-7))?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 16*a**2 + 31*a + 96. Calculate y(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21313 + -4.\nAnswer: -21317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 417367.6ns?\nAnswer: 417.3676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-4) - (-4 + (-17)\/(-4)). Let i(v) = v**2 - 4*v + 1. Let b be i(5). Let s = b - y. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-3) + 2152)*1. Let w = r - 1208. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 - -3 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-7))\/(338\/(-676))?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947.999998372 - 948. What is f rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103240 and 26.\nAnswer: 1342120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-40 - -3)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -286 and -348147?\nAnswer: 347861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 15*i + 16. Let p be j(10). What is the greatest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 7.46. Let f = m - -2.5. Let g = -4 + f. Is g less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 1. Let f = 37 + -8. Let r = f + -18. Let z = r - 10. Determine t(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1534 - -1535. Which is the second biggest value? (a) 0.033 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2 + 2. Let l be 0*1\/(2 + w). Let m = l - -3. Let u(a) = 2*a - 2. Determine u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1621631 (base 8) to base 16\nAnswer: -72399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 886896 and 110862?\nAnswer: 886896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*o**5 + 384*o**4 + 2*o**3 + 598105*o**2 wrt o.\nAnswer: -5220*o**2 + 9216*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -28. Solve 2*p + 0*p = -h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524 (base 9) to base 7\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose -53 = -u*i + 100. Suppose 3*k + 3*n = i, -n + 4*n = k - 1. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -2\/119, -0.5?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38579, 38511, 38441, 38369, 38295, 38219, 38141?\nAnswer: 38061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -2\/137 (c) 298 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as 49\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/430 + -29329\/318630. Let t = -5435\/741 - i. Let r = 413\/3650 - -1\/146. Calculate the common denominator of t and r.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 2. Let v(a) = -1. What is -u(p) + 2*v(p)?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 6*g + 15*g)*((-2*g**2 + 3*g**2 - 2*g**2)*(-g + 0*g - g) + g**3 - 6*g**3 + 4*g**3) to b*g**4 + n*g**3 + h*g + x*g**2 + t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 3. Is 7 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 110, 125, 124, 101, 50?\n\"Answer: -d**3 + d**2 + 29*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/44 and 107\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + 9.1. Let z = i + -9. Sort z, 0.5, 2\/11 in descending order.\nAnswer: z, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 122*l - 10. Let a be x(2). Calculate the highest common divisor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*k - 6, -k + 7 = -0*s - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-6)\/16)*(-48)\/54*174\/(-928).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 106 = 272. Let s be ((r\/30)\/(-7))\/(4\/8). What is the second smallest value in -2, -10, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1331 + 6926. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1787?\nAnswer: -5361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*p. Suppose -3*a + 14 = -p*a. Suppose 2*t = -3*z + 132, 5*t - t + 72 = 2*z. Calculate the highest common divisor of a and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*(i\/(i*i**(2\/17)\/i)*i*i)\/i)\/i)*i)\/(i\/((i\/(i**(2\/37)\/i)*i)\/i)) assuming i is positive.\nAnswer: i**(669\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from vvjvk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7703597068.\nAnswer: 2, 31319, 61493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 126*x**3 + 5*x**2 - 26*x - 72. What is c(-3)?\nAnswer: -3351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 11*j**2 - 18*j - 814. Let w(u) = -u**3 + 5*u**2 + 8*u + 408. Calculate -9*w(v) - 4*z(v).\nAnswer: 5*v**3 - v**2 - 416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-1)\/(-2))\/(14\/28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3826*k + 43515 = 6727*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence she when three letters picked without replacement from hzzmsezsmyhs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l + 2*u - 380, 4*u - 8 = 0. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100210 (base 3) in base 15?\nAnswer: -1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -18 (c) -7 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -11, -73, -169, -305, -487, -721?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/6 - (-7)\/6 - (-78918)\/84 is divided by 158?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-19 + 2 - (-88 + 64)) + 1 + 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:30 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 138. Calculate the remainder when 33 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4, 5*l - 97 = 2*l - 5*r. Suppose 3*a - l = -5*n, -n - a = -2 - 3. Is n equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*c - 39 = 0, 3*o = o + 4*c + 22. Let n(q) = -q**2 + 7*q + 2. Let p be n(o). Let x be (-3 - (0 - p))*-5. Solve 3*i = -2*i + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 - 53*c**4\/12 + 53*c**3\/6 + 28*c**2 + 215*c. List the prime factors of m(-54).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + 3*z**2)*(-2*z**3 - 2*z**3 + z**3) - 215*z - 18*z**5 + 215*z - 3*z**5 - z**5 + 2*z**5 + (7*z - 7*z + 10*z**2)*(z**3 + 3*z**3 - 2*z**3).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 3, h: 1, x: 3, s: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mimik. Give prob of sequence kiim.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144265.\nAnswer: 5, 11, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -5, 178, 3489, -9, -1\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*a - 1, -2*a - 3 = 4*x - 7. Put x, -5, 4 in descending order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 23. Let p(d) = 0 + 7*d**2 - t + 4 + 7*d. Is p(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93*(4 - (-65)\/(-15)). Let r = -34 - i. Let z(j) = -j**3 + 6*j**2 - 2. Let s be z(6). Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5135 by -5.\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153702 and 2430?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 41*x + 76 = -37*x, 0 = i - 4*x + 82 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.19 + -7.833. Let c = k + -0.2. Round c to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -21\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 4.4.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3857, -7752, -11659, -15584, -19533, -23512, -27527, -31584?\nAnswer: -35689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 7)\/(1\/2). Let n be -5*(-40)\/(0 - h). Let d = -61 - n. What is the highest common factor of d and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3276, -4606, -5924, -7224, -8500, -9746, -10956?\n\"Answer: a**3 - 1337*a - 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110405 - 21?\nAnswer: -110430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g**5\/40 + 19*g**4\/8 - 105*g**3\/4 - 7425*g**2\/4 - 36*g + 16. Determine h, given that b(h) = 0.\nAnswer: -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 129 = -13*c. Let m = 15 - 5. What is the smallest common multiple of m and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/3 - t**2\/2 + t + 1. Let x be 2\/((-48)\/20)*-18. Let w(o) = -18*o**2 + 27*o - 27. Let n(z) = x*y(z) + w(z). Factor n(b).\nAnswer: -3*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 1784.\nAnswer: 17\/892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 11422?\nAnswer: -11415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-43)\/f**(-28))\/(f\/f**19*f**(22\/3)) assuming f is positive.\nAnswer: f**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9366 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*t - 3*h = 445*t + 88, 0 = 5*h + 35. Solve -69*m = -t*m - 16 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 715 = 130. Suppose -k = -m + 3. Let p be -1 + (-9)\/3 + 52. Are m and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o + 10. Let r(x) = -2*x + 1. List the prime factors of r(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 5 + 5)*(-74*p + 9*p**2 + 33*p + 38*p).\nAnswer: -18*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*l = 13, 0 = 34*n - 33*n + 5*l + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -402 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -22. Suppose -15 = 3*p, x*h + h - 4*p = 560. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844129788.\nAnswer: 2, 3, 1709, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 4288179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/6 - 1363*a**2\/6 + 102136*a - 15175968 = 0.\nAnswer: 408, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*11*(-185374)\/(-77) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from cccqqqqcqqqqqqqcqqq.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:09 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 685 = -18*m - 28, -4*m - 4*a + 100 = 0. Suppose -7 - 73 = -5*s. Calculate the lowest common multiple of m and s.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (3 - (-13)\/(-1))*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 2*y**5\/45 + 73*y**4\/18 - 298*y**3\/27 + 25*y**2\/3 + 3591. Suppose w(n) = 0. What is n?\nAnswer: -75, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - w + 22*w)*(2*w - 2 + 2) + (6 - 15 - 8)*(0*w**2 + 0*w**2 - 3*w**2) to the form m*w + z + n*w**2 and give n.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4180 + 14*a**2 + 4173 + 2*a**2 - 8318 to l*a**2 + w*a + p and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 26*y - 21*y - 2943, -6*y + 3576 = -5*a. Solve 581*r = y*r + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - h - 10549995, 38826949 + 13923061 = 5*l + 2*h. What is l rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*z = 177*z, -7*k + 4*z - 9 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -l - 4*h, 7*l + 2*h = 2*l - 28. Suppose 0 = -2*c - 3*c + 10. Let g = c - l. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*c + 3, c + 2 = 2*d + 5*c. Suppose -3 - d = -s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351773476?\nAnswer: 2, 31, 10901399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 17 = -17. Suppose m = -2*v + 2, -3*v + 104 = 2*l - 5*v. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from otpll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 132 = -1877*w + 1881*w, s + 3*w = 39. Solve 3*y - y = 3*x - 13, 5*y - 5*x + s = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.24608 years to months.\nAnswer: 1010.95296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-0.84.\nAnswer: 0.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3176 and 6335326?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 10*m**2 + 2*m - 18. Let h be c(10). Suppose 4*l - 26 = -2*b, -l + 5 = -0*l + h*b. Suppose -216 = -l*s + 4*s. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2 - 0) + 6. Let g = -5 + z. Suppose 3*x - 3 = 0, g*o - 3*o - 5*x + 25 = 0. Calculate the least common multiple of o and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.3 + 106. Are -0.39 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g - g)*(2 + 1058*g**2 - 1074*g**2 - 3).\nAnswer: -16*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 0.6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -612, -884, -1156, -1428?\n\"Answer: -272*c - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17296 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + 2) - (-2060 - -2038) - (-3 + -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 + -736?\nAnswer: -736.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z**2)*(z + 12 - 5 - 8).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.294 + -6.384. Let w = q + 0.09. Let s = w + 4. Is -1 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11110111110001110000?\nAnswer: 11110111110001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7b8 (base 16) to base 4\nAnswer: -132320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9737 + 272563\/28. What is the common denominator of -37\/12 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 122.3. Let h = -55131 + 387165\/7. Let j = h - 178. What is the closest to -1\/2 in 4, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*q - 52*q - 21*q in the form x + z*q and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -20*c. Let t(o) = 7*o. What is 4*m(p) + 11*t(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.3. Suppose 3*q + 0*q = -153. Let m be (-1)\/(-4) + q\/108. Sort 5, j, m.\nAnswer: j, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 90, 87, 84, 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3036*n + 37*n**4 + 3029*n + 36*n**4 wrt n.\nAnswer: 876*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -451.88 (b) -2\/5 (c) -2 (d) 2\/13 (e) 2\/19 (f) -1\/2 (g) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.16 or 27661?\nAnswer: 27661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 3*z**4\/4 + z**3\/2 - z**2 + 2*z. Let k(v) = -19*v**2 - 5*v + 4. Let r(x) = 5*f(x) + 2*k(x). What is j in r(j) = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -114 - -27ba1d?\nAnswer: 27b909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 0*r = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7905 - 7904.99995883. Round o to seven decimal places.\nAnswer: 0.0000412","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 5*m**2 - 5*m**2)*(3 + 0 - 2) - m**2 - m**2 + 0*m**2 + 5*m**2 - m + 17 - 17 to the form v*m + s*m**2 + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4229672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + 2*sqrt(720) - (-1 + sqrt(500) + 2 + (sqrt(20)\/sqrt(4))**2).\nAnswer: -7 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(400) - 2*sqrt(400))*-1 + sqrt(400))\/(sqrt(15)\/(sqrt(6)\/sqrt(2)) + sqrt(25)\/(sqrt(15)\/sqrt(3))).\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -811\/385 + 68\/35. Let r = 10767 + -10768. Which is bigger: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 13*w + 108. What is the remainder when 20\/6*102\/4 is divided by p(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.36 + 1.06. Suppose -2*t - 10 = -2*k, -3*t - 2*t = 0. What is the nearest to -1\/4 in i, k, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m - 882 = -3762. Solve 4*y + m = 52 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*q + 20, -18 = -5*g + 6*q - 9*q. Suppose -2684 = -g*s + 1945. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - -4) + -3 + 7 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -19*h - 72. Solve 7*d - 34 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 + z - 2. Let d(g) = g + 2. Let n be d(-1). Let m(b) = b**2 - b + 1. Let p(q) = -q**2 + 2*q + 9. Let a be p(4). What is a*m(f) + n*i(f)?\nAnswer: -3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278394 is divided by 2158.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37481080 by -205940.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j = 59 - 763 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*y - 5*a, a = -2*y - 2*a - 7. Is 2\/117 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*w + 29, w + 6 = p - 7. Suppose 11*l - p*l = 31. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5168*d = 5248*d + 1440 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 480.408?\nAnswer: 192.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.2268 from -136.473359.\nAnswer: -110.246559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -2, -96.95 in descending order.\nAnswer: 8, -2, -4, -96.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 26 = b + 12, -d - 77 = -4*b. What is the remainder when 41 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 19. Let d be j(-9). Let a(b) = b**2 + 4*b + 4. What is the smallest common multiple of a(-6) and (1\/1)\/(d\/(-80))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28086542*r*s**3 + 11*r*s**2 - 9*r*s - r - 8*s + 120 wrt s.\nAnswer: -168519252*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1205133, -2410264, -3615395, -4820526, -6025657?\n\"Answer: -1205131*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -5) + (5 - -4125) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -2*x + 4*d + 4, -5*x - 2*d = -10. Let g = -1 + x. Let z(y) = -y - 3. Let u be z(0). Sort u, 5, g.\nAnswer: u, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5 - 3 - 4. Let o(f) = -1. Let s(r) = -2*j(r) + 5*o(r). Let y(q) = q - 5. Give 6*s(i) - y(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 61 + b - 61 + 123 - b**2. Let q(c) = -4*c**2 - 7*c - 7. Let x(z) = 9*z**2 + 13*z + 13. Let d(n) = 5*q(n) + 3*x(n). Give -4*a(l) + d(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 694 by 33.\nAnswer: 694\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*o - 0*a + 16, -5*a - 4 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 19. Let r be h(-4). Let o = r - 22. Solve -o*b - 9 = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -684, -1685, -3002, -4641, -6608, -8909, -11550?\n\"Answer: -q**3 - 152*q**2 - 538*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/34 + (-169280)\/(-15640).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(0*h + h + 0*h)*(-9*h**2 - 6*h + 6*h)*(-62 + 62 - 7*h) to i*h + b*h**3 + g*h**4 + p + o*h**2 and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -119*m**2 - 36. Let l(h) = -2*h. Give l(j(s)).\nAnswer: 238*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3663*x - 3779*x - 1392 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + 7*v - 6. Let q be i(5). Suppose -q*m - 3 = 25. Is m\/(3\/(1 + -40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 + 19324*p + 23253880 = 0. Calculate p.\nAnswer: -2561, -2270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 201\/7. Which is greater: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 24 = 6*u. Let x be 1\/(32\/u - -3). Is -2003*(-1)\/x + 8\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 752339.7339 to the nearest ten thousand.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/23)*y**(-6)*y)\/(y**(-3)\/y**(-8))*(y**(-1\/10)*y\/(y**2*y))\/((y*y**(-2\/7))\/(y\/y**(2\/9)*y)) assuming y is positive.\nAnswer: y**(-161179\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*n = -210*n - 12445425. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 13*h**2 + 16*h + 28. What are the prime factors of f(13)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*((3*w + 2*w - 2*w)*(-4 + 5 + 4) + (-2*w + 0*w + 0*w)*(3 + 1 - 5) - w + 2*w + w) as y*w + a and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24327.393 months in years?\nAnswer: 2027.28275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 129 = -147 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 + 0 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2993 - -71394. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -22.23. Let n = -0.03 - j. Let x = 7 - 4. What is the nearest to 0 in -1\/10, x, n?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8175, -16350, -24519, -32682, -40839, -48990?\n\"Answer: 3*n**2 - 8184*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t*(t**17*t)\/t*t*t)\/t)\/t*t*t**(-3\/20))\/((t*t\/(t*t**(-2\/33)*t)*t*t*t)\/(t**(-13)*t)) assuming t is positive.\nAnswer: t**(3821\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -0.9. Let m be 36\/30*130\/22. Let x = m - 524\/77. Which is the nearest to 0? (a) u (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -1) + (435 - 335) - 25\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 51.578968 days?\nAnswer: 7.368424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/112)\/((-4)\/((-280)\/(-5)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -89. Calculate the lowest common multiple of -7*(3 - (-93)\/(-21)) and (-8)\/16 + 42\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.533003ml?\nAnswer: 0.004533003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -976032*k**2 - 3118116.\nAnswer: -1952064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234162470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06926843 + 0.06906. Round k to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 2, 0.4, -1, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 1. Suppose 0 = 5*c + 367 - 252. Suppose 0 = 2*h - 4*h - 52. Let m = h - c. Let k(n) = -4*n + 2. Calculate m*f(l) - 2*k(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14087921*t + 515601 wrt t?\nAnswer: 14087921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**3 + 42*n**2 - 165*n - 28. Let r(s) = -7*s**3 + 21*s**2 - 90*s - 14. Let u(h) = -6*j(h) + 11*r(h). Give u(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 801, 1876, 3451, 5568, 8269, 11596?\n\"Answer: 7*p**3 + 187*p**2 + 7*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v - 4. Let s = 568 - 573. Determine j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**5 - c**5 - c**5 + (2*c**4 - 4*c**3 + 4*c**3)*(-1 + 3*c - 3 - c).\nAnswer: 8*c**5 - 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j)**4)**(-6) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 38863 = -3*u + 6955, 0 = -3*x + 3*u + 19140. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65.97 - -66. Let l = -0.4 + -0.1. Let n = -16.5 - -16.3. Which is the third biggest value? (a) l (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2. Let y(q) be the first derivative of 53*q**2\/2 - q - 2143. Determine y(i(w)).\nAnswer: -583*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 5573 = 40*l - 5*y, -3*y + 2803 = 2*l. List the prime factors of l.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 14*r**2 - 5*r - 3. Let y be j(-14). Suppose -k - 4*v = -2*k + 31, 2*v = -5*k + y. Solve 0 = 4*a - a - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1600\/(-150))\/(-32)*-123.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Solve -3*b - 9 = -c*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/408 and -91\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11896482*y**4 - 7*y**3 + 3363*y - 20398 wrt y.\nAnswer: 142757784*y**2 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-29)\/w**(-28)*(w**(-1\/3))**23)**23 assuming w is positive.\nAnswer: w**(-598\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 232\/5*c + 13456\/5 + 1\/5*c**2.\nAnswer: (c + 116)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-5) + 119\/110 + 1 and 1\/(23 - 1) - 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133265 - -930758\/7. Let f = v + 299. Let u = -4591.8 - -4592. Which is the closest to 1\/2? (a) u (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**2 + 21*g + 62. Calculate j(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1263 - 2469\/2. Let h = -3926903\/695020 - -2\/34751. Find the common denominator of l and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -5. Let r(s) = -6*s + 1. Let w(o) = 8*o. Let c(b) = -7*b. Let y(z) = 7*c(z) + 6*w(z). Give n*y(q) + 2*r(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 565*f**2 - 2968*f + 766. Calculate w(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 139 - 127 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Let q = 0.68493 + -0.18493. What is the second smallest value in 0.1, q, t, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zxzzzzuysxsxzzx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1149, 2158, 3167, 4176, 5185, 6194?\n\"Answer: 1009*a + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (12 - 4) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttttuttttt. What is prob of picking 1 b and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1 + sqrt(405)) + sqrt(405) - -1*(1 + sqrt(405))) + -3)**2.\nAnswer: 378*sqrt(5) + 19854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-2) - 230\/46. Let a(b) = -711*b - 4. Is a(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.8 + 42.7. Which is the third biggest value? (a) -2\/3 (b) z (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 30*n**2 + 2*n + 8. Determine b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-4)*(-284)\/(-497).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -712 + 468. Let l = v + -111. What is the units digit of (l\/10 + 0)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(16)\/(sqrt(24)\/sqrt(3)) - 5*sqrt(2)*1)**2 - (6*sqrt(6)\/(sqrt(243)*1 + sqrt(3)))**2.\nAnswer: 707\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 7:37 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*z + 2*z. Let o be (-10)\/(-3) + z\/18. Suppose -12*a + 37530 = -o*a. Round a to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708 divided by -1?\nAnswer: -2708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -13. Suppose 0 = 2*r - h*r + 4. Solve -m + 3 = r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = 31*h - 204. Let o(a) = -2*a + 4. What is the smallest common multiple of h and o(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 2*n**2 - 2*n - 85. Let h(l) = 2*l**3 - 3*l**2 + 3*l + 86. Calculate 3*g(v) + 2*h(v).\nAnswer: -2*v**3 - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.08.\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c**3 + 11772*c**2 - 1630180*c?\nAnswer: 78*c + 23544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-10)\/120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 67*k**2 + 13*k - 274. What are the prime factors of w(6)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 732672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 5, -57\/4, -4 in ascending order.\nAnswer: -57\/4, -4, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -11. Let z be 10\/25*f\/6. Let j = 4.07 - 0.07. Which is the nearest to 0.3? (a) j (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3 + -5) + -11 + (1 - 2). Sort 2, 6, 1, f, -4.\nAnswer: f, -4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 158\/60 + (-39 - -39) and 113\/318.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10899\/(-81) + (1024\/(-36) - -30).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r, 3*r - 1 = 4*h - 13 + 4 + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 10*g - 7. Let t be 106\/14 - (-3)\/7. What is the smallest common multiple of 5 and n(t)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 0*w + 0*w)*(46*w**3 + 14*w**3 + 153*w**3) to the form a + b*w**4 + l*w**2 + k*w**3 + t*w and give b.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3424 - 4?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -5. Let n = 0.01 - -3.99. Put p, n, 2\/3 in decreasing order.\nAnswer: n, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*n - n. Suppose -25 = n*v - 7*v. Sort v, -3, 2 in decreasing order.\nAnswer: v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3326388.99877 + -3326328. Let s = -61 + u. Round s to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 346020, 345893, 345766?\n\"Answer: -127*m + 346147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:29 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - v**2 - 3*v + 3. Let o be h(2). Solve 3*j - o - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 140 = r. Suppose -6*w + 5*w = -r. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*r + 3*r - v, -3*r = -4*v + 2. Solve -i = -0 - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(0 + -1) + 3. Let o = 33 - 26. Let i(g) = -g**2 - 5*g + 92. Let b be i(o). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*w + 109 - 26, 3*w = -12. Suppose 2*i - 119 = h, -20*i + 2*h + 55 = -a*i. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from jiiiqjjifqpqfqqi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -11. Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79773 - -79772.99999811835. Round s to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - -3.1. What is the third smallest value in -1\/6, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 3*r**2 + 3*r**2)*(2*r - 7*r + 2*r) + 0*r**3 + 0*r**3 + 3*r**3 as m*r**2 + w*r**3 + o*r + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5073578522 to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50067.47 millilitres?\nAnswer: 50.06747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**10\/2520 - q**6\/120 + q**3\/3 - 4*q. Let v(t) be the second derivative of o(t). Find the third derivative of v(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 24*p + 24*p - 2782 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let z(u) = 221*u**2. Determine j(z(f)).\nAnswer: -663*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644734 and 29612?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:10 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 5*o, 0 = -4*k - o - o - 2. Let m = 2871 + -106217\/37. Is m at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let n be 5*2*l\/2. Suppose 0*o = -5*o + n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o - 6. Let t(k) be the third derivative of -k**5\/60 - k**4\/3 + 53*k**3\/6 - 99*k**2. Let p be t(-12). Determine b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:13 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 959.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 + 24*n**2 + 5*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - (-10 + 8). Let k(s) = -s**2 - 7*s - 4. Let u be k(-6). Let m(j) = -3 - u*j**3 + 8*j**2 + 2*j - 6*j**2 - j**2 + 2. Determine m(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -43) + (-4)\/(-1). Let p(g) = 5*g**3 - 2*g**2 - 2*g + 2. Let i be p(3). Suppose -i = -5*y + 27. What is the greatest common divisor of y and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9*10\/135)\/((-2)\/(-2865)) 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 nouvnovoouvvunvu. Give prob of sequence oo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1447841, -2895685, -4343527, -5791367, -7239205, -8687041, -10134875?\n\"Answer: p**2 - 1447847*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 900 = 0. Let a be (-114 + 85172\/749)\/(2\/(-63)). What is the highest common divisor of a and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 274208.53 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*k**3 - 32*j*k + 6*j + 2*k**5 - 49230*k**4 - 2*k + 8 wrt k?\nAnswer: 12*j*k + 40*k**3 - 590760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)*t*t**(-6)*(t**(-2\/3))**2 assuming t is positive.\nAnswer: t**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*l**5\/3 + 10349*l**4\/2 - 5797471*l**3\/6 + 18603902*l**2 - 11140650*l + 1637496 = 0. What is l?\nAnswer: 1\/4, 4\/11, 21, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166031 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:38 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 62 + 202. Suppose 46 = 3*m - k. What is the remainder when 51 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (14 + -26 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 12*o**2 + 7*o + 31. Suppose -4*w + 7*i - 3*i + 52 = 0, 4*w + 5*i = 34. Let u be a(w). Which is bigger: -59\/5 or u?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 4*l**2 - 5*l + 4. Let i be a(5). Let j be -2*49\/(147\/(-18)). Sort j, -4, i.\nAnswer: -4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:13 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 89551912 = 398359102. Let z = w - 36257865. Round z to the nearest 100000.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-786)\/(-9)*9 - -1*2. Let m be t\/18 - 2\/(-9). Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 - 4*m**2 + 7*m**2 + 0*m**2 + m**3 - 1 - 9*m**2 as o*m + y*m**3 + k*m**4 + v*m**2 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309827 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y**16*y)\/y)))\/y*y*y**(2\/7)*((y**(3\/7)*y*y)\/y)\/y**(-1) assuming y is positive.\nAnswer: y**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2898 - 0.2898. What is the second biggest value in 3, -3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1878 and 3252214.\nAnswer: 3254092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14008 divided by -2\nAnswer: 7004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + 3*j)*((353*j + 26 - 26)*(0 + 5 - 3) + (-4 - 2 + 4)*(2*j + 0*j - 3*j))*(-j + 1 - 1).\nAnswer: -708*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/25 in -25, 5, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 416 + -500. Let g = b - -293. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79605*j**5 - 160*j - 120 wrt j.\nAnswer: 1592100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 1081920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 30. Calculate b(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*m - 46*m - 540. Are m and -55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680115797 to the power of 1\/3, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 4 = -5*g. What is the units digit of (-4 + g - -7) + (2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/755792467 and -71\/175765690?\nAnswer: 7557924670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let q(n) = -93*n - 4. Calculate -q(g) - 5*s(g).\nAnswer: 98*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-42) + (-153)\/(-21) - 3959. Which is bigger: p or -3953?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6875 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 + -8. Let k = -2.8 + 3. Let w = 0 + k. What is the second biggest value in g, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 9. Let f = 28.5 + -31.5. Sort s, 2\/7, 0, f in increasing order.\nAnswer: s, f, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*(-13 - -124). Suppose k - i = 20. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/3 - 135*n. Let x(w) = -2*w**2 + w. Let p(l) = -u(l) - 2*x(l). Let y(d) = 22*d. Determine p(y(a)).\nAnswer: 1936*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -67, -75, -65, -31, 33?\n\"Answer: g**3 - 27*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpgjgjvvgggrgvvv. What is prob of picking 1 p, 1 v, and 1 r?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*b = -57094, 3*a - 7438 = 3*b + 26813. Round a to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/131159252?\nAnswer: -1\/131159252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*f**4 + 272\/5*f + 36\/5*f**2 - f**3 + 448\/5.\nAnswer: -(f - 7)*(f + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 = -6*i + 5*x, 15 = i - 3*x. Solve -4 - 11 = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 2019*o - 3257. Let s(z) = -2*z. Give n(s(p)).\nAnswer: -20*p**2 - 4038*p - 3257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-30) - 33*2\/(-84)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**5 - 398*i**4 - 487*i**3 - 147765334*i**2?\nAnswer: 360*i**2 - 9552*i - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -56 - (21 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 2*x + 10. List the prime factors of r(-6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430551991?\nAnswer: 11, 29, 53, 191, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17342 - 86466 + 69124 + 4*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1335 - -1014?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3598 in -3, -1\/8, 11, -0.02?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1371980 divided by 5\nAnswer: -274396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0069 and -0.22?\nAnswer: -0.001518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50520 and 65080.\nAnswer: 82196040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f - 2*h + 13, f - 3*h = -12. Solve j + 20 = 2*q - f*j, 0 = -3*j - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3\/5*d**2 + 0*d - 1\/5*d**3 - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 34*k - 4. Let c(b) = 7*b**2 - 78*b - 9. Determine 3*c(t) - 7*j(t).\nAnswer: -7*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15 + 21. Suppose 0 = -x*o + o + 242. Calculate the remainder when o is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -57*f + 2112. Let r be s(-4). Are r and 2340 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/4)*q)\/q*q**(1\/5)*q*(q**(-2\/3))**(-3\/11))\/(q**(-1\/4)*(q*(q**0\/q)\/q*q*q*q)\/q*(q\/q**(-1\/4)*q)**(-2\/11)) assuming q is positive.\nAnswer: q**(197\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y. Let s(z) be the third derivative of -z**6\/40 + z**5\/20 - z**4\/8 - 5*z**2. Determine -3*k(h) + s(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**4 + 16\/3*d**3 + 2\/3*d**6 - 8\/5*d**5 + 0*d + 8*d**2 + 10. Let v(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 43*r**2 - 211*r - 452. Calculate p(37).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 20*m**2 - m + 4. What is y(20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 + 5*l + 4. Determine g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from hnrhu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 - (-3 + -9 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 437 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**21)**(1\/37)*((f*f\/f**3)\/((f*f**(-2\/5))\/f))\/(f\/f**1*f)**(-5\/6) assuming f is positive.\nAnswer: f**(49\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**3 + 7*n**2 - 2*n**3 + 3 + 3 + 11*n. Let z(j) = -11*j**3 - 10*j**2 - 17*j - 9. Let x(s) = -8*y(s) - 5*z(s). Does 5 divide x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 266*d**2 + 4270*d - 9202. What is i(249)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, -2, -5 in descending order.\nAnswer: 4, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7600 divide 358241788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173583 - -361850. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + 1734\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/246533 and 68\/5205.\nAnswer: 1283204265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let x(r) = 6*r - 4. Let w(g) = 3*d(g) + x(g). Let m be w(3). Solve 5*v + m = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 - o + 1. Let v be p(-4). What is the second derivative of -5*f**2 + 4*f**2 - 17*f + 10*f**v + f**2 wrt f?\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61700, -61701, -61702, -61703, -61704?\n\"Answer: -n - 61699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.1, -2, 224930 in increasing order.\nAnswer: -24, -2, 0.1, 224930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5044646913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let y = w - 0.4. Put y, -4, 0 in decreasing order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11853 - 6647. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 6*j**2 + j**2 + (3*j - 2*j + 2*j)*(-2*j + 28*j + 6*j))*(-10*j + 0*j + 7*j).\nAnswer: -282*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**6\/15 - 5*w**3\/6 - w - 4. Let q(k) be the first derivative of t(k). Find the second derivative of q(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2898 by -3.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-4))\/3*(-752)\/282.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**3 + 2*l**2 + 16*l - 66. Is 9 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 4*v**2 - 8*v**2. Let z(u) = 7*u + 11. Let c(g) = 4*g + 6. Let m(q) = -11*c(q) + 6*z(q). Give m(k(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5972 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, -115, 2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 111*m**2 - 2620*m + 187. Determine x(-131).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 49 - 743*b - 1392*b.\nAnswer: -2135*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 0.01, 0.3, 0, -2\/11 in decreasing order.\nAnswer: 44, 0.3, 0.01, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 at least 292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6439 + 6429)*158\/(-20)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6419 - -16052521503.\nAnswer: 16052521501.3581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192117690.\nAnswer: 2, 3, 5, 37, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/9045 and 58\/33165.\nAnswer: 99495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*x - 20 - 12, 3*x = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1021*x**2. Let y(o) = 2074*o**2. What is y(h(l))?\nAnswer: 2162022634*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 2*z**2 + 288*z - 344*z)*(21 - 1 - 7 + (4 - 1 - 4)*(2 + 4 - 5))*(2*z - 6*z + 3*z) in the form k*z**3 + i + m*z**2 + x*z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -a + w + 2, w = 5*a + 4. Let y be (-5)\/(-15) - a\/(-3). Suppose y*o = 3*m + 5*o + 11, -12 = 3*o. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25090 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121898\/10 - ((-9)\/5 - 60\/(-100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ossjo. What is prob of picking 1 o, 1 s, and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 3*g + 0*g + (-g - g + 5*g)*(-173 + 36 - 719).\nAnswer: -2569*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2560, 8, -35, -4, 0 in ascending order.\nAnswer: -2560, -35, -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 815390722 to the power of 1\/2, to the nearest integer?\nAnswer: 28555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 2:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*r - 120 = 0, 0 + 45 = 80*q - 78*q + r for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 317*b. Let i(c) = 2*c**2 - 9*c - 3. Let f(v) = -12*v**2 + 48*v + 16. Let l(j) = -3*f(j) - 16*i(j). Calculate x(l(w)).\nAnswer: 1268*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujyyyyyuyyuyuhy. What is prob of sequence hyy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170159 is divided by 567.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30211100 (base 4) in base 13?\nAnswer: -1a5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33130934376 - -403\nAnswer: -33130933973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -6*v - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1149638, -1149637, -1149636, -1149635, -1149634?\nAnswer: -1149633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/18*(-21)\/(-14). Let x = 3.07 + -0.07. What is the third biggest value in c, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/3 - -3) + (-2542)\/(-123). Suppose -8*o**2 + x*o + 8\/3 = 0. Calculate o.\nAnswer: -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*w = -8, -2*t + 4*w = 9 + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (133 - (62 - -5) - (20 + -4)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1575 - -5077. What are the prime factors of i?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 - 3*s - 8*s**2 + 28*s**2 - 14*s**2.\nAnswer: -9*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 5*o**2 - 14 - 32.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 9634 = 1084. Calculate the highest common divisor of 627 and s.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a - -230?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -92.5. Let s = r - -10. Let k = s - -16.2. Round k to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*h - 2*k + 30, -3*h = -3*k - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21.8667 - 70671\nAnswer: -70649.1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16 - 6 - 7*q**2 - 1 + 7*q. Let f be i(4). Let h = f + 133. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 3. Suppose f - 3 = -0*f. Calculate the least common multiple of d(f) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5534 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + -118 + 1 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9696660?\nAnswer: 2, 3, 5, 161611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4756, 4770, 4782, 4792, 4800, 4806, 4810?\nAnswer: 4812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(12 + 52) + 40\/(-32). Is -55\/378 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 39 = -19*v. Calculate the highest common divisor of v and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 24 = 0. Let q be y\/16*(1 - 1). Suppose -3*d + 4*n + 155 = q, -n - 5 = -0*n. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/26411?\nAnswer: 2\/26411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 5*d)*(-2*d**3 - d**3 - 8*d**3).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2 (b) -2\/11 (c) 19\/2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Let o be 9 - x\/(-5 - -2). Suppose 0 = -673*s + 10543 + 14482 + 17374. What is the greatest common divisor of o and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142764 is divided by 721.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = 2*q - 40, 5*y - 4 = 4*q. Solve p + q = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 2, v: 1, l: 1, b: 5}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 0*w**6 + 0*w**5 + 0*w + 7\/8*w**4 - w**2 + 19\/210*w**7 + 0*w**3. What is the second derivative of i(f) wrt f?\nAnswer: 228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -3*l. Let j be (0 + l)\/(-2)*5. Is 184\/j + 3\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 40, -5, -4 in descending order.\nAnswer: 40, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -3 + 11 + 183 + -294?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1960 and 344120?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105471, 210871, 316249, 421605, 526939, 632251, 737541?\n\"Answer: -11*q**2 + 105433*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/2 - v**2 + 2*v. Let p be o(2). Suppose -2*a + 39 = 5*b, 2*b - 25 = p*a - 67. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 + -243.77. Let t = n - 0.83. Which is the third biggest value? (a) -14 (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2819 - -2833. Solve 775 - 719 = a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234571032.\nAnswer: 2, 3, 17, 127, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 26. Suppose 2*l = -3*l + j. Suppose -4*y + k = -21, k - 14 = -y - l*y. Calculate the highest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 27*b - 670 = 0. Suppose 5 = -b*k + 135*k. Solve 6 = 3*l - 5*c - 11, -k = 5*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 789628132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*c**3*j*k*t**2 - 24*c**3 + 2*c**2*j*k**2 - 5*c**2*k**2*t + c*t**2 - c with respect to j.\nAnswer: -103*c**3*k*t**2 + 2*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + -1 + 2) - (-4 + sqrt(1573) + -1)) + 4 + 4*((sqrt(1573)*-2 - sqrt(1573)) + sqrt(1573)) + -3)**2.\nAnswer: -990*sqrt(13) + 127438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 4. Let f = 1 - m. Suppose 3*a = 4*y + 2*a - 8, f*y + 2*a - 17 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 0 - (4 - (10 - 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/4)\/(33\/(-88)). Let d(s) = 2*s**n + s**2 - s - 23*s**3 - 2*s**2 + 2*s. What is the tens digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338.2 - -424.2. Sort 3, n, -2, 0, 1 in decreasing order.\nAnswer: n, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692.1905 rounded to zero decimal places?\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:46 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 205\/5378?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513972 to the power of 1\/2, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/8))**46*(h\/((h\/((h*h\/((h*h\/h**(1\/3))\/h))\/h*h))\/h))**(-19) assuming h is positive.\nAnswer: h**(-187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10353436 and 147536463.\nAnswer: 590145852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2509430 and -67\/156432.\nAnswer: 60226320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 - h + 6. Let t be r(0). Solve 6*y - t = 3*y - 3*o, 0 = -5*y + o + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + -28 - (-28 - -14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, s: 1, f: 1, h: 1}. Give prob of sequence fe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(72))**2)*-6.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.0092 + 0.0092. Which is the closest to 1? (a) -1.1 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 931 - 1315 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 5*p - 3. Let z(g) = g**3 - 12*g**2 + 12. Let m be z(12). Suppose m = -4*x - 8. What is v(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14253\/36581 - 45\/157. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14690031, -29380061, -44070091, -58760121, -73450151?\n\"Answer: -14690030*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 - 1795*t - 10590 = 0.\nAnswer: -353, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972 divided by 6.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1794, -3645, -6730, -11049, -16602?\n\"Answer: -617*i**2 - 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64402, -515221, -1738856, -4121713, -8050198, -13910717?\nAnswer: -22089676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {l: 1, u: 1, w: 2, i: 1, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38296339, -38296338, -38296337, -38296336, -38296335, -38296334?\nAnswer: -38296333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*d*s*u - 351005*d*s - d + 447005*s*u - 52*s wrt u?\nAnswer: -26*d*s + 447005*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240, 118, -278, -1086, -2444, -4490?\n\"Answer: -23*d**3 + d**2 + 36*d + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 112*d**5\/3 + 1337176*d**4 + 81042583*d**3\/3 - 21776348*d**2 + 17218315*d\/3 - 501158 = 0. Calculate d.\nAnswer: -35797, -21, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 - 8*q + 14. Let x be (2\/(2\/9))\/((-8)\/(-24)). Suppose 62 - x = 5*n. Does 6 divide a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 divided by 36?\nAnswer: 1211\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 641235797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333*-2.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*g**3*t + 13*g**3*w + 36*g**2*t*w**2 - g**2*w**2 + 48*g*w**2 wrt t?\nAnswer: 69*g**3 + 36*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*l + 3*j, 0 = 4*l + 2*j + 2 - 0. Let h = l + 6. Suppose 0 = -h*q + 6*q - 11. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/((-8550)\/60)*(-115)\/(-2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 253022*x**4 + 511178*x**3 + 10280*x**2 + 24*x = 0.\nAnswer: -2, -6\/341, -1\/371, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4*-1)\/((-15)\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p - p**2)*(387*p**2 + 137*p - 9 - 118*p**2 - 275*p**2).\nAnswer: 6*p**4 - 137*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6 + 8 + 2*l + 6*l**2 + l**3 + 0*l. Let z be t(-4). What is the greatest common divisor of 26 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -1.8\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -50. Let g(n) = -n**3 + 5*n**2 - 6*n + 9. Let d be g(t). Which is the nearest to d? (a) 0 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -23. Suppose -s*p - 11682 = -33*p. What are the prime factors of p?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5373 - 5370. Solve 3*b = 5*b - 2*y + 8, 5*b + 4 = -m*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 283\/5. Let a = -288 + 287. Sort f, a, -4 in decreasing order.\nAnswer: f, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 3, 1\/243145 in descending order.\nAnswer: 3, 1\/243145, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923921267?\nAnswer: 2657, 347731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7272585, -29090369, -65453343, -116361507?\nAnswer: -181814861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19109, -37521, -55933, -74345?\n\"Answer: -18412*o - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w - 24. Let h be (-2 - (-21)\/9)*174. Suppose -3*i = -i - h. Calculate the remainder when i is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 4, -4, 61\/2, 233 in ascending order.\nAnswer: -4, -3\/4, 4, 61\/2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 3. Let u(r) = -8*r + 4. Let f(o) = -1. Let a(m) = 24*f(m) + u(m). Give -3*a(l) - 20*n(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757992 divided by -24.\nAnswer: -31583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/10925 and 3\/54379?\nAnswer: 594090575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498353 is divided by 214049.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278\/413 + -6\/59. Let n = 34\/35 - z. Let y = -160 - -162. What is the smallest value in y, n, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 22*t**2 + 6*t - 4. Calculate y(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313130321 (base 4) to base 11.\nAnswer: 304664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1022 - -1046 - (37 - (-5 - -4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527*f*n**3 - 97*f*n**2 - 4353*f*n - 1390*n**4 + 1 wrt n?\nAnswer: 3162*f - 33360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 - 8*o - 8. Let k = 7 + -12. Let c(v) = -9*v**2 + 7*v + 6. Let a(j) = k*c(j) - 4*d(j). Give a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77383 is divided by 696.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -0.1780123\nAnswer: -10.1780123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.8 - 40.8. Let l = 304119\/785 - 1937\/5. Put j, l, 0.5 in descending order.\nAnswer: 0.5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 17*g**3 - 7*g**2.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*s**2 + 34667 - 69350 + 34683.\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 816*u**4 - 33*u**3 - 68*u**2 + 2*u - 4390882 wrt u?\nAnswer: 9792*u**2 - 198*u - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 2*a + a. Let p be (-20)\/140 + (-34)\/7. Let z(m) = -4*m + 1. Calculate p*c(r) - z(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 5:21 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12005115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:33 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) -0.06 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 18. Suppose -7*f + f + v = 0. Suppose 2*q = -f*k - 6, -3*q + 4 + 2 = -3*k. Solve q = 2*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -9*h. Solve 3*z + h = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, p: 2, q: 1, j: 6}. Give prob of sequence peee.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -555 (c) -3 (d) -0.9 (e) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25745 rounded to three dps?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*f**4 - 4464*f**3 - 117000*f**2 - 1038336*f - 316368.\nAnswer: -3*(f + 26)**3*(19*f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 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: Calculate the least common multiple of 298560 and 1840.\nAnswer: 6866880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {n: 2, l: 14, t: 2, i: 1}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**4 - 335*l - 24670?\nAnswer: 16*l**3 - 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -569, -1205, -1841, -2477, -3113?\n\"Answer: -636*q + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2)\/(4 + 15 - 1 - (-69527)\/(-3878)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244 and 44.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4, 2*y = -0*y - 3*g + 584. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*m + 61887 = 436*m. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 2*o + o)*(o - o + o) - 4*o**2 - 1 + 1 - 3654*o + 3654*o - 170*o**2 to the form v*o + r + c*o**2 and give c.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(480))\/(4*sqrt(10)\/sqrt(2)))\/(-3*sqrt(2)*4 - sqrt(2) - -3*sqrt(242)) + 3.\nAnswer: -sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264.49853 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126734621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 + 0.08. Let x = i + 0.15. Let p = 0.42 - -0.08. What is the nearest to x in -5, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460.1 - -1170810318.\nAnswer: 1170810778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 4:28 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18529 and -3.\nAnswer: 0.55587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8570462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = n + 1, 0 = -4*n - 4*f + 32. Let d(c) be the second derivative of c**5\/20 - c**4\/6 - c**3 + c**2 - 8*c. What is the tens digit of d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-790)\/1264*(-48)\/50.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*472.\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10*1\/5*10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10 + 105. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Suppose -4*b = 22 - 2, 4*n - 3 = -b. Let s(z) = -2*z**2 - 8*z + 3*z**n + 13 - 2*z**2 - 17. Let k(d) = s(d) + 3*y(d). Determine k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1708 = -2161*t + 2283*t. Let b(v) be the second derivative of -7\/30*v**6 + 0 + 0*v**5 + 1\/6*v**3 + 0*v**4 - t*v**2 + 39*v. Differentiate b(g) wrt g.\nAnswer: -28*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/61608 and 49\/5738.\nAnswer: 1170552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1)\/sqrt(3))\/(sqrt(28)\/sqrt(112)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125019*p**3 + 54*p**2 - 414*p + 3 wrt p.\nAnswer: -750114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664153394 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 175.\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*f**2 + 2*f**3 + 252*f**2 + 2*f**2 + 126*f**2 - 18 + 18.\nAnswer: 2*f**3 + 464*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**6)\/w)**(1\/15)\/(w**(-1\/2)*w\/w**(7\/6)) assuming w is positive.\nAnswer: w**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 + 5*y - 30. Let f be z(2). Sort 0.1, 0.07, f in ascending order.\nAnswer: f, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 105.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 2*n - 9. Let c = 2 - -4. Let u be x(c). Calculate the smallest common multiple of (-99)\/u*(-4)\/6 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633155?\nAnswer: 3, 5, 108877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 6381.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 10*x**2 + x - 4. Let i be s(10). Suppose 191 = i*g - 217. 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: b\"What is the sth term of 49, 39, 19, -17, -75, -161, -281?\n\"Answer: -s**3 + s**2 - 6*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 + s. Let i(m) = -12*m**3 - 5*m**2 + 6*m. What is -i(b) + 6*v(b)?\nAnswer: 6*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**5 - 108*j**4 - 550*j**3 + 468*j**2 + 176*j = 0 for j.\nAnswer: -4, -2\/7, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 2*a**2 + 17*a**2 - 26*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227129 bigger than 227177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312 - 453?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/12 + 18*h + 2. Let j(l) = -l**3 - l**2. Determine 2*j(n) + 5*u(n).\nAnswer: -2*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97 - 632*a + 226*a - 269 - 256 - 154*a wrt a?\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(19\/5)\/(h*h*h*h**(-2)\/h)*(h**(1\/12))**29 assuming h is positive.\nAnswer: h**(373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = -5. Let h be (-28)\/1*(z + 0). Let y be (-6)\/(-21) + (-15)\/h. Is 1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/3 + 104*f**2 - 672*f.\nAnswer: 4*f*(f - 6)*(f + 84)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4066 divide 24557286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 11, 20, 33, 50?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n - 31765 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, 0 = 4*r - r + k. Let q = -7 + 10. Let a = q + 0. What is the closest to r in a, 4\/5, 4\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 11*t - 9*t + 22*t + 4300 = 0 for t.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 - 203825.53107.\nAnswer: -203825.40107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*r + 44 = 77, 40 = -4*c - r for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36622 (base 7) to base 13.\nAnswer: -4483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from fcffc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69696.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9788, -78271, -264160, -626159, -1222972, -2113303, -3355856, -5009335?\n\"Answer: -9784*p**3 + p**2 + 2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15822, 31646, 47470?\nAnswer: 63294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85582.881s in hours?\nAnswer: 23.7730225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + -114?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 1. Let l be j(1). Solve d + m = 4, -l*m = d - m - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -127*t + 64*t + 41*t. Let s(b) = 6*b. Determine s(n(d)).\nAnswer: -132*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35\/28*44576\/14?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.1 - 34. Let t = m + -4.0973. What is t rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 9) in base 2?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuu when three letters picked without replacement from wuuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**2)\/p)**23*p**8\/p**(1\/2))**(-1\/42) assuming p is positive.\nAnswer: p**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52214, -104847, -157480, -210113?\nAnswer: -262746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 21\/(-4) - ((-1395)\/(-124))\/45. Solve -5*n - 22 = 4*g - 13, o*n - 4*g + 41 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**2*w**4 + 137*m**2*w + 210*m*w**4 - 2*m*w - 55 wrt w.\nAnswer: 120*m**2*w**2 + 2520*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -6 + 36. Let i(r) be the first derivative of -10\/9*r**2 + 2\/9*r + 4 + 50\/27*r**d. Find x such that i(x) = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3d (base 16) to base 3.\nAnswer: -10121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 4158*y.\nAnswer: y*(y - 4158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 41 + 26 - 68. Let y(q) = 2*q - 4 - q - 2 - 2. Calculate 18*v(r) - 2*y(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(35\/(-10))\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 2748042 + 2751911 = 0 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8650128.\nAnswer: 2, 3, 180211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - -3 - 3) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1912 + 1912 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104bc8 (base 13) to base 16.\nAnswer: 5d498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 23*o**7\/210 + 2*o**6\/15 - 749*o**4\/12 - 440*o**2 + 1. Find the second derivative of n(s) wrt s.\nAnswer: 276*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -11*c + 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.2, -3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c26 - -cca?\nAnswer: ab12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(5\/8))**(39\/2) assuming x is positive.\nAnswer: x**(65\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 61189*b**2 + 4*b + 1. Let k(w) = w**2. Give h(k(j)).\nAnswer: 61189*j**4 + 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 253982324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - j + 1. Let q(g) = -2*g**3 + 3*g**2 + 4*g. Let u = 4 + -1. Let r = -4542 + 4543. Give r*q(o) + u*d(o).\nAnswer: o**3 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 9. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.6 - 56.088. Let j = h - -0.088. Which is the nearest to -3? (a) 0.3 (b) -0.11 (c) j (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1390, -2698, -4006, -5314, -6622, -7930?\n\"Answer: -1308*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-5))*(y\/(((y\/y**(1\/3))\/y*y)\/y))\/y)\/(y**1)**(-5\/8) assuming y is positive.\nAnswer: y**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142389 and 351.\nAnswer: 427167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 2761380?\nAnswer: 2761380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10269126.\nAnswer: 2, 3, 7, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74852*a*q**2 + 1050871*a*q - 2*q**2 wrt q.\nAnswer: 149704*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 6. Let l(u) be the first derivative of -3*u**2\/2 - 5*u + 14. Determine 3*l(f) - 2*o(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -928, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(61*c**2 + 3*c**4 - 63*c**2 - 5*c**4) to r + s*c**2 + u*c + g*c**4 + o*c**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(-1 + (2*(-1 + sqrt(1573)) - 2*sqrt(1573)*5))**2*5.\nAnswer: -2013619 - 10560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2\/2 + l + 1803. Let g(s) = -8*s + 4. What is g(t) - 4*m(t)?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 - a + 2. Give n(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 516115 - 516115 + 23868*t as f + x*t and give x.\nAnswer: 23868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + -20.4. Let s = -9 - x. Let l = 0.1 + 0.1. Sort -3, l, s in descending order.\nAnswer: s, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 28*p + 16. What is f(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645\/21 <= 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -10021?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 477257731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/17326 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 16\/9, -3\/2, -0.2, -3\/7?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103582 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v**2 - 6*v. Suppose 0 = -4*h - 3*u + 15, -3*u - 7 = -2*h - 4. Let c(d) = -45*d**2 + h*d + 36 - 28*d - 36. Calculate -6*c(s) + 25*o(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17946 and 18819372.\nAnswer: 56458116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d + 333 + 123 = 12 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11989, 6, 11 in ascending order.\nAnswer: -11989, -5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -7*d**3\/4 + 3412877*d**2\/2 + 7313338*d + 1950224 = 0.\nAnswer: -4, -2\/7, 975112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/12477 - -8323\/62385. Let g = -9\/2 + 69\/14. Which is the third smallest value? (a) g (b) 3\/5 (c) w (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1076671\nAnswer: -1076673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1610816 - 3210816. Round a to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.2 and -11358.\nAnswer: -11369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 - 42?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 10 = -o. Suppose m = 2*m + o. Let r = m + 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/8)\/((-24)\/(-192)). Suppose -n + 1 = v, s*v + 5 - 6 = -n. Solve v = 4*l - 0 + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -238184 and -2456594.\nAnswer: -2694778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-1\/22)\/((h**1*h)\/(h*h**(-5\/3))) assuming h is positive.\nAnswer: h**(-179\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1489425.6 months?\nAnswer: 1241.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 - 10*a - 66. What are the prime factors of i(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 743 + -722. Let u = -7 - -28. Is u not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuncjny. Give prob of sequence yj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 14. Let i be g(6). Suppose -i*y + 104 = -3*t + 4, 2*y + 4*t = 128. What is the greatest common divisor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(1\/(-8) + (-378)\/(-336))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1015 + -1004. Let r be -28 + g - -21 - (-5 - 1). Solve -r*v = -15*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 11907?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -268, -425, -582?\n\"Answer: -157*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.15 - -0.35. Let x = o + 2.1. What is x rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**3 + l**2 + l + 3. Let c(h) = -h**2 + 93 - 91 + 8*h**3 + 2*h**2. Give 3*c(x) - 2*s(x).\nAnswer: 6*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l. Let w(f) = 3*f. Let n(g) = 3*i(g) - 8*w(g). What is the remainder when 16 is divided by n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 168, 176, 186?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {t: 1, e: 1, x: 1, w: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3473 - -3472. Which is the fourth smallest value? (a) -2 (b) -0.229 (c) -1\/6 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3, 267, -4 in increasing order.\nAnswer: -4, 3, 4, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m - 19 + 3 - 5*m**2 + 14 to n + z*m**2 + f*m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 101624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 18 (c) -5 (d) -662 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 578? (a) 2.4 (b) 105\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 817890751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u - 3*u)*(-546*u + 546*u + 63*u**3) to the form n*u**4 + m*u + q*u**2 + x + d*u**3 and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 13*h**2 - 336*h + 4758. Let q be b(16). Solve -q*v = -168*v + 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**6 + 567678*z**3 - 5*z**2 - 5*z - 14435 wrt z.\nAnswer: -360*z**3 + 3406068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22795, -22526, -22079, -21454, -20651?\n\"Answer: 89*v**2 + 2*v - 22886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5165046093640*u**2 + 7*u**3 + 5165046093640*u**2.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 5. Let g(s) = -143*s - 4859. Let z be g(-34). Let v(k) = -1. What is z*v(h) - q(h)?\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -0.5. Let r = 694 + -439. Let g = -257 + r. Which is the nearest to g? (a) 5 (b) i (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174.9 - 197. Let h = n + 22.2. Let x be (3\/(-38))\/((-3)\/4). Which is the nearest to h? (a) -2\/9 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 5. Suppose -4*s = -3*f - 5, -5*s = f + 4*f + 20. Let m be b(f). Let n = 50 - 256\/5. Is n equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 6 (c) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29816189 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298419807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -94*r + 44. Give c(-2).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10752 - 10748. Let h be ((-1)\/(-2))\/((-1)\/(-20)). Solve -g*a + 2 = h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 3*p**2 - 2*p - 3. Let u be o(3). Let d = -19 - u. What is the highest common divisor of d and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -58, 14 in ascending order.\nAnswer: -58, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**5 - t**4 + t**2 - t - 1. Let f(i) = 64*i**5 + 2*i**4 - 2*i**2 - 901*i + 2. Let m(v) = f(v) + 2*k(v). Find the second derivative of m(g) wrt g.\nAnswer: 1360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 27 = -3*h, r - 1907*h + 1912*h + 37 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(2\/7)\/(((s**2*s)\/s)\/s**2) assuming s is positive.\nAnswer: s**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1001222221012?\nAnswer: -1001222221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30668 by 57.\nAnswer: -30668\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 386 divided by 3855\nAnswer: 386\/3855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 2*l + 8. Let f be h(4). Let x = 2154 + -1134. Suppose 4*s + 6*s - x = f. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 1219 - 1219.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50.5 and -6.94?\nAnswer: 350.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-18)*10\/3. Suppose 3*g = -l*n - 11 + 126, 2*g - 2*n - 66 = 0. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 119206418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 38. Let q = -13 - w. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 5*p**2 + p + 2. What is b(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -17?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54588 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(10\/5)*(-404)\/606)\/(2\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 779 - 178. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4173 + -4165. Solve 12*q = -z - 64 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) - 3*sqrt(3630))*5)\/(((sqrt(10) - (sqrt(1000) + 2*sqrt(1000) + sqrt(1000)) - sqrt(10)) + sqrt(10))*1).\nAnswer: 110*sqrt(3)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*-4)\/(sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7) + sqrt(63)*-3 + sqrt(7))).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 + 13*a**2 + 7*a - 7. Let c(p) = -2*p**3 + 4*p**2 + 2*p - 2. Let l(o) = -7*c(o) + 2*r(o). Factor l(v).\nAnswer: 2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:51 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2475073325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*x + 1 - 1 - 20*x.\nAnswer: 121*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19148?\nAnswer: 2, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*b - 4*b + 210 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 26*x - 8. Let h(g) = -43*g + 16. Let r(u) = 3*h(u) + 5*q(u). Let m = -48 - -42. Calculate r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 1712, 2545, 3340, 4091, 4792?\nAnswer: 5437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:56 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**3 + 68*s - 31*s - 33*s + s**2 + s**3 to n + x*s + b*s**3 + h*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292734045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-5))\/(-1 - 18\/(-30)). Suppose -j = -5*x + 4. Calculate the lowest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 + (1325\/260 - 6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21*m. Let x(j) = -5751*j**2 + 1215*j + 405. Let v(f) = 57*f**2 - 12*f - 4. Let i(o) = 405*v(o) + 4*x(o). Give a(i(l)).\nAnswer: 1701*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.22, -1.59, 3\/25 in increasing order.\nAnswer: -1.59, 3\/25, 3.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11599999 - (3 - (-16)\/(-4)). Round w to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 6*g. Let y be j(-6). Let p(c) be the third derivative of 1\/30*c**5 + 0*c**4 + 2*c**2 + y*c**3 + 0 + 0*c. Let w(s) = 3*s. Calculate p(w(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2223 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230113089*t + 868798061 with respect to t.\nAnswer: 230113089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 9 - 9)*(363 + 28 - 153).\nAnswer: -1428*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 8*t**2 - 6*t - 10. Calculate g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-6)\/4)\/((-4)\/(-8)). Is 29116\/8 + u\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2690, 5370, 8054, 10748, 13458, 16190?\n\"Answer: l**3 - 4*l**2 + 2685*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -23. Suppose k*w + b = 0, 4*w - 4*b = -w + 21. Solve v - 3 = p - 2*p, -p - 3*v = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4*(-15)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -7)*(-1 + 0). Suppose -o - 5*w = g, w = -3*w - 4. Let m be 1 + o - (0 - -2). Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 422100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:06 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -6. Let m(h) = h**2 - 6*h - 6. Let d be m(7). Which is the third biggest value? (a) 2\/13 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -13 (b) 2 (c) -355 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 52.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199956032 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 322771536 divided by -107590512\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/4*(-6640)\/145250?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 2941\/(-153))\/((-55)\/33)\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -4. Is h less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000442126 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*-2)\/(-5*(sqrt(4) - ((sqrt(4) - sqrt(144)) + sqrt(4) - sqrt(4))))*-3*-3 + 1.\nAnswer: 1 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6e6ba (base 15) to base 8\nAnswer: 1260415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 6*f + 224 = 10*f - 5*l, 0 = -2*l. Which is greater: f or -16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 22\/(-8) - (-1275)\/700.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 5*v - 50, -5*n + 20 = 0. Calculate the least common multiple of (77*(-42)\/(-231) + -5)*7 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150 (base 6) to base 8.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 + 4*h**3\/3 - 7*h**2\/2 - 2. What is the tens digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 4 = -36*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 316310*i + 13610575.\nAnswer: -5*(i - 63305)*(i + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1811172896 to the nearest integer?\nAnswer: 42558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 24281138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:53 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -347 + -2344786?\nAnswer: -2345244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 3*j + 3. Let u be k(3). Let y = 3 + u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/90 - 8\/36.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/6 - (-4)\/(-24). Let t be (103125\/l)\/(1\/(-256)). Round t to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*q**5 + 1552*q**4 - 1003*q**2 - 119045029*q.\nAnswer: -1240*q**3 + 18624*q**2 - 2006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -24 - (-1 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.138813s to nanoseconds.\nAnswer: 2138813000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5514*q**2 + 9190*q wrt q.\nAnswer: -11028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 6*g - 4. Let l be ((-1)\/(-2))\/((-4)\/88). Let b = l - -15. Let v(a) = 7*a**2 - 7*a + 5. What is b*v(q) + 5*j(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2604 * 0.9\nAnswer: 2343.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -40. Suppose 27 = 2*n + 3*k, -2*n + k - 7 + x = 0. Solve 0*l - n = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -8*l - 2. Suppose l*a - 51 - 155 = -2*f, 5*a - 305 = -3*f. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 218 - -17?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 - m - 1. Let t be h(0). Let q = -0.4 - -0.44. Let k = 3.96 + q. Put k, t, -5 in decreasing order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748 and 33?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -2 (c) 0.43 (d) 734 (e) -1 (f) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -103. Suppose -80 = -2*a - h*a - 3*q, -5*q = 5*a - 190. Calculate 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 the fourth biggest value in 40, -3\/7, 2, -3, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 3*s**3 + 3*s**3)*(-10 - 27 - 3).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:11 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/6 - 5*r**3\/6 - r**2. Let z be 0 + (0\/(-3) - 5)\/1. What is the tens digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 15023?\nAnswer: 15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and 85\/422.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 + -158. Suppose -n - 5*q = 2*n - 117, 4*n = -5*q + v. Let l = n - 157\/4. Which is the closest to 0? (a) -1\/2 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**2 - 150. Let y(n) = -6*n - 6. Let o(j) = -j**2 - 5*j - 5. Let c(k) = -6*o(k) + 5*y(k). Calculate v(c(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2255*g**2 + 19*g. Let h(k) = 2253*k**2 + 21*k + 2. Let w(s) = 5*h(s) - 4*m(s). Let y be w(10). Round y to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1504)\/26 - (-220)\/(-124410)*87?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(-1*sqrt(8)))**2*-1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -5. Suppose -5*c = 196 + 189. Let y = c + 79. Sort m, -1, y.\nAnswer: -1, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 564 + -567.89. Let c = x - 0.11. Let z = -2\/145 + -719\/435. Put 0.2, c, z in decreasing order.\nAnswer: 0.2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrxxrr. Give prob of picking 2 x and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 263 + 2 + 1. Suppose 85 = -5*y + u. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-5))\/((-27)\/135).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/(-348) - (-35470)\/(-140070) and -53\/7?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = 0. Let f(a) = -a**2 + r - 2*a**2 - 2*a - 4. Let d(x) = x**2 - 1 + 0 + 2. Determine -4*d(l) - f(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117320 - 3?\nAnswer: -117323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 80275.\nAnswer: 80275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011298637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*i - 78 = -0*y, -3*y + 34 = -2*i. List the prime factors of 33\/7 - (-4)\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993 = -18*t - 210 + 225. What is the highest common divisor of 126 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in -53, -0.07, 64?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -189*b + 8. Let t(o) = -3*o**2 - 9*o + 3. Let y be t(-4). Let v be r(y). Let n = v - 670. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180511*a + 2 - 6 + 4 - 180509*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + a - 1. Let i(v) = -5*v**2 - 1. Give -4*g(w) + 3*i(w).\nAnswer: w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Suppose b = -5*m - 0 - 10. Let i(a) = -11*a**2 + 3*a - 2. Let c(u) = -21*u**2 + 7*u - 5. Let j(r) = m*c(r) + 5*i(r). What is j(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - -5 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 76. Let a = 49489\/4992 - -5\/1664. Find the common denominator of a and 4\/t*(3 - 762\/136).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**2*v**2 + 451472*h**2*v - 142279*h*v**2 - 147*h*v - 5*v**2 wrt v?\nAnswer: 18*h**2 - 284558*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*c + 49 with respect to c.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:26 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 + 2410\/160)\/((-2)\/(-1)). Let b(w) be the second derivative of -13*w + 0*w**2 + 0 + 1\/16*w**3 + y*w**5 + 1\/12*w**4. Let b(p) = 0. Calculate p.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6450 - 6428. Let x(l) = l - 1. Let k be x(6). Let n be (22\/4)\/(k\/10). What is the highest common factor of f and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182280383.\nAnswer: 41, 61, 72883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 32.39. Let j = -76530843 + 76530842.38999943. Let v = j + r. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.87 plus -0.132305247985?\nAnswer: -7.002305247985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:01 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163051613.\nAnswer: 163051613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 67889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61930846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, -14\/5, -3\/5, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4232 divided by -3.\nAnswer: 4232\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5995473 months to decades.\nAnswer: 0.0049962275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in 18, -5, -0.014, -0.4, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -5 (c) -3 (d) -1\/1009 (e) -0.1 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 23.\nAnswer: 20\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:44 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**2 + 18274*h**3 + 18258*h**3 + 1 - 36579*h**3.\nAnswer: -47*h**3 + 36*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2\/23)\/b))\/b*b*b)\/b**(4\/7)*((b\/b**(-5))\/b)\/(b\/b**(-3)) assuming b is positive.\nAnswer: b**(566\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4879 - 0.5.\nAnswer: -4879.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01052147 rounded to five decimal places?\nAnswer: -0.01052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 15) to base 5\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -258, -387, -518, -651?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:47 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 73, 123, 193, 289, 417, 583?\n\"Answer: p**3 + p**2 + 26*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6 and -7\/4692.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-o - 4*o + 3*o) + (-4 + 0 - 1)*(-3*o + 3*o - 5*o) + 4*o - 3*o + o to the form i*o + p and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.98114 nanograms in micrograms?\nAnswer: 0.07098114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 + 5)*1. Suppose 4*a + 4*a = o*a. Solve 2*r - t + 1 = a, 5*r + 2 = t - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68.96 - 75. Let g = 94 + -100. Let r = g - y. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 28 = -34*j. What are the prime factors of 1888\/((-7 + 6)*j)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1505 + 1504.76. Is n less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.4 - -18?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11097)\/8964 + 10\/8. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (3 - -40) + -2. Suppose 0 = -x - p + k, 0 = -4*x + 5*p + 121 + 77. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from ljlau.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11521908*n - 81193620?\nAnswer: 11521908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/4 - 1887*f**2\/4 + 86697*f\/4 + 88587\/4 = 0. Calculate f.\nAnswer: -1, 51, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - q**2)*(0 + 1 + 0 + (2 + 0 + 1)*(2 + 0 + 0) + 0 - 4 + 2).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4425, 10362, 16301, 22242, 28185, 34130, 40077?\nAnswer: 46026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3 + 1. Let n = w - -4. Suppose 0 = 3*g + 2*b + 2, -b + 1787 - 1814 = -5*g. What is the greatest common factor of n and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = 0. Let w = b + 0. Let f = w + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71\/25884 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6*r = 21. Solve r*c = j - 15, -6*c + 2*c + 5*j = 31 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/((v**5\/v)\/v))\/((v\/(v*v**3)*v*v)\/((v**(-12)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -2*i. Suppose -i*m + 31 = -7. Solve -5*n - 4*l - m = -l, -l - 5 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - 35. Suppose 107*g - h = 101*g. Calculate the lowest common multiple of g and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 2013212?\nAnswer: -2013133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/28 and 81\/374.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1413212 <= -1413212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**4 - 222*l**3 - 864*l**2 + 672*l = 0. What is l?\nAnswer: -4, 0, 2\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, v: 4}. What is prob of sequence jv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*o + 3400 = -200*o + 714*o for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 221 (b) -1\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63341 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**2*t*z + 2*h**2 + h*t**2 + 27*t**2*z + z wrt h.\nAnswer: 16*h*t*z + 4*h + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 39430 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -74 and -0.16.\nAnswer: -74.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1526*o + 5*o**2 - 1526*o. Let z(f) = -f**2. Determine z(y(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 6700 = -5*h - 6653, -2*j - 68*h = -750 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 1. Let x(u) = u**3 - 11*u**2 + 11*u - 10. Let g be x(10). Suppose 0 = 2*f - g*f - 148. Calculate the remainder when f is divided by v(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256\/3*j + 96 - 32\/3*j**2 + 24*j**3 - 10\/3*j**4 - 2\/3*j**5 = 0 for j.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -17. Let m = -103\/3 + l. Which is the smallest value? (a) -0.5 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8)*(-1 - -11). Solve -b - 2*v = 1, -v - 3 + n = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 10*w**2 - 8*w + 70. Determine b(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from ffppkssbbcbfcsbp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 17 = 5. Suppose -3*h + 113 = -d. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4314 + -0.6314. Put 2, 0.2, -2, a in decreasing order.\nAnswer: 2, a, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 9295272*m\/5 + 10800260194248\/5.\nAnswer: 2*(m + 2323818)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3267456\/143 - -301140\/13. Determine q so that 16\/11 - 408\/11*q - 9826\/11*q**3 + w*q**2 = 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from {h: 2, g: 7, q: 2}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggqgqbcbbeqebbbgbb. What is prob of picking 1 q and 1 b?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1701 - 13589\/8. What is the common denominator of y and 17\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 0*b**4 + 2*b**4 + 0*b**2 - b**2 in the form r + j*b**3 + t*b**2 + g*b**4 + a*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2168, 4335, 6502?\n\"Answer: 2167*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from vhyyhthyvvhyvth.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -1, -10.\nAnswer: -10, -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -829?\nAnswer: -82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khsmirshmimkhimss. What is prob of picking 1 r, 1 m, 1 s, and 1 i?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.36.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65222 (base 8) to base 3.\nAnswer: 1101102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*n + 290, y - 97 = 4*n + 15. What is the highest common factor of 221 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:16 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c - 92*c = 3077 + 14960 + 219 for c.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**4*k))**1*((k*k\/(k\/(k\/(k*k**(-18)*k)))*k)\/k*k)\/(k\/k**(-9)) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**4*q*v**3 + 2691*n**4*q*v**2 + 58*n**2*q*v**2 + n*q*v**2 - 3*n*v**3 - 3*n*v + q*v**3 - 2*v**2 wrt n?\nAnswer: -264*n*q*v**3 + 64584*n*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 442.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.7. Let h = -8.23 + 0.53. Let y = h + 8. Which is the closest to -2\/3? (a) y (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 332 = 4*u + 80, 10 = -5*i. What is the remainder when u is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 23 = -5*q + 2, 4*q + 24 = 4*y. Let l = -31 - -36. Let w be 12*-2*9*5\/180. Put y, l, w in decreasing order.\nAnswer: l, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let r(s) be the first derivative of s**2\/2 + 14. Calculate r(p(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-112)\/42)\/(5\/(-120)) and 96?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7586 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32\/9 in 0.06, -298, 9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/(-5) + -4 + -4. Let t be (-30)\/(-9) + k\/(-9). Which is the nearest to 0? (a) t (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7169 and -7143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2. Let a be ((-4)\/10)\/(m\/20). Let f = -2 - a. Solve 4*y + 6 = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + q + 358*q**2 + 4*q**3 + 0*q - 10 - 179*q**2 - 182*q**2 to the form p + s*q + y*q**3 + u*q**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(432) + 1 + -1 - (sqrt(432)*-2 + -1)) + -2))**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-9 - 3) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3417327758.00000099 + 3417327724. Let j = 34 + d. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 99 = -93. Suppose 4*k + 4*p - 24 = 0, -2*p = -5*k - m + 5. Let v(u) = 3*u - 1. Let z(x) = x**2 + 1. Let h(s) = v(s) - z(s). What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 836 + -135. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2. Let s(c) = 1827*c. Determine y(s(t)).\nAnswer: 36717219*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**2 - 6*b - 6. Let j(g) be the second derivative of -11\/6*g**3 + 7\/4*g**4 - 11\/2*g**2 + 0 + 31*g. Determine -6*j(l) + 11*n(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from gffggfgfgssgf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 6, -y - 4*o = 9. Let x = 7.91 - -0.09. Let l = x - 8.01. Put y, l, -3 in decreasing order.\nAnswer: l, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118476.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12164.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 13308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxaaasasx. Give prob of sequence ax.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 + 2*o**3\/3 - 3*o**2 + 5*o. Does 13 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -29*x**4\/24 + x**3\/3 - x**2 - 14. Let o(n) be the second derivative of q(n). Is o(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*a - 2*l - 15, 0 = 5*a - 2*l - 35. Suppose a*o + w - 16 = 0, 5*o - 4 = w - 5*w. Suppose -161 = -o*r + 95. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -130, -128, -124, -118, -110?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/(2\/(-12)). Let j be ((19 + a)\/(-4) - -3)\/(-9). Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001129 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33183.68ng?\nAnswer: 0.00000003318368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2, -2*s + 7 = -2*h - s. Let a be 3 - (5 + h - 1). Let k(n) = -n + 4*n - 3 + 0*n + 2*n**a + 0*n. Give k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216905467 to the nearest 1000000.\nAnswer: 1217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -1\/4 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 6315.\nAnswer: 18945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-8)*(-9)\/21. Let l be 86\/12 - (-2)\/3. Let d = v + l. What is the common denominator of -85\/4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 66. Let d be j(43). Let o = -32 - d. Solve -9*w + 4 = o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 1.5.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, -134.\nAnswer: -134, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760 at most as big as 13780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2038*c + 7322*c + 2108*c + 657888 = 0 for c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2538\/16 - -6)*4\/(-18). Let l = 112\/3 + i. Suppose 0 - l*u**2 + 3*u = 0. What is u?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1435664494*o**3 + 798292624*o wrt o.\nAnswer: -8613986964*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(720) + 1 + 2 - (sqrt(720) - (2*sqrt(720) + 4))) + (2 + sqrt(720) + -2 - (2 + 2 + sqrt(720))))**2.\nAnswer: -5778 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 7*r + 4. Let m(g) = g - 1. Suppose 20 = -4*f - 4. Let v be m(f). What is the least common multiple of p(v) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143 - -709\/5. Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1454 - 464. Suppose 7*u + r = 2460. Calculate the lowest common multiple of 4 and u.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-113836\nAnswer: -11383.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*q**3 + 2*q**2 - 263*q + 72649 wrt q.\nAnswer: 135*q**2 + 4*q - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 25. Let x = d - 13. Suppose 3*t - 4*t = x. Solve 5*h - 10 = -t*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/207 and 32\/171?\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x + 2. Let y(h) = 5*h**2 - 4*h - 1. Determine -3*p(i) + y(i).\nAnswer: 2*i**2 + 5*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*m**2*z + 19170*m*z + 402590*z wrt m?\nAnswer: 18*m*z + 19170*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664587090 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:53 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.452 rounded to 1 dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17821726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 240599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.3972 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98017091 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/28 + (-721300)\/105*120\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 - 7*q**2\/2 + 9*q - 8. Determine p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1357*k + 2722. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**3 - 7*y - 5. Let q(b) = b**3 - 7*b**2 + 4*b - 103. Let j be q(8). Let x(a) = -11*a**3 + 6*a + 4. Give j*x(g) - 6*u(g).\nAnswer: 5*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-517742.\nAnswer: 103548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-36) - 40\/(-18). Let j = -1101\/7 + 157. Let z = 32 + -32.4. Which is the closest to j? (a) m (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 134 = -174. Let z be ((-1)\/k)\/(20\/(-40)). Factor z - y - y**3 + 1\/4*y**4 + 3\/2*y**2.\nAnswer: (y - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -79*l + 88. Determine n(3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let q(h) = -5*h + 2. Let n be q(1). Let t = n - -6. Solve -u = p - t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/11 (b) 1\/2 (c) 7 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = -a + m + 3*m, a + 184 = -5*m. Let g = a - -306. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/25 of a day?\nAnswer: 31104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -203, -210, -221, -236?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 43*w - 239. What is n(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.09 (b) -4 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35434, -70867, -106302, -141739, -177178, -212619?\nAnswer: -248062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 15, 2*i + 3*d = d - 4. Let s(x) = x - 1. Give s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -734512*v**2 - 775765 wrt v?\nAnswer: -1469024*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**3 + 2*x**2 + 2. Let n(h) = 7*h**3 + h**2 + 1. Determine 5*g(d) - 8*n(d).\nAnswer: -d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -22. Suppose -2*s + 19 = -o. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515 by -43.\nAnswer: -515\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 - 0.05. Let w = -16.8 - -17. Suppose -8*s - 8 = -4*s. Which is the nearest to s? (a) w (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -911 and 0.28.\nAnswer: -910.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 3 - -5 - (-15 + 24)) + 12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*s - 56, 2*s + 0 + 20 = d. Suppose 0 = -4*n + d, 0*t + 2*n - 3 = -3*t. Let u(k) = -3*k**3 + k**2 + k + 1. Calculate u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let g(q) = -u*q - 1 + 0 + 0*q. Let x(w) be the third derivative of -7*w**4\/24 - w**3\/2 + 13*w**2. Give 5*g(i) - 2*x(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172553644?\nAnswer: 2, 37, 1165903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4*s**2 + 4*s**2 + 3*s**2)*(-2 - 3 + 4)*(-300*s + 300*s - 57*s**2) in the form q*s**3 + b + t*s**4 + k*s + u*s**2 and give t.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -13 - ((-152)\/(-16) - 7). Let u(f) be the first derivative of 39 + 0*f - l*f**2. Let t(z) = -z**2. Calculate t(u(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1053) - (3 + 0 + sqrt(1053))) + -3))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:13 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 3827 = -39*o + 3883. What is i in -16 - 4\/9*i**o + 16\/3*i = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3579\/10430 or 0?\nAnswer: -3579\/10430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 192 = 20. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {q: 2, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -23. Solve -s - 2 = -n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = n. Suppose -i = -0*u - 3*u - 13, -i - 2*u = 7. Which is the second smallest value? (a) i (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761387749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 26377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 9*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 = -3. Solve -4*n + 5 + m = -5*z, 4*z = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - 4*c. Let z be o(3). Suppose -5*j - 2*a - 2 = 0, -j - z = -0*a - a. What is the closest to j in -5, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -23 + 38 - 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/28 and -67\/6040.\nAnswer: 42280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*2 + sqrt(468) - 6*sqrt(13)*-2)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 6. Suppose v*b = 2*p - 493, -p + 5*b = -0*b - 236. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 10743*i - 53824. What is s(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-3\/7)))\/f**(-6))\/((f*f**(1\/10))\/(((f\/f**(2\/5))\/f)\/f)) assuming f is positive.\nAnswer: f**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 6) + -5 + 3 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*f + 390 = -282*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(-3*k - 2*k + 3*k + (5*k - 5*k + k)*(0 + 4 - 3)) - 5*k + 3*k + 4*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 35*k - 45 = 0. Solve 0 = -2*m + 17 - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*v + 12*v + 200 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 8334769*d**3 - 50066354*d**2 + 346540*d - 600 = 0.\nAnswer: 10\/2887, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**1*j)\/j*j)\/j**(2\/9)*(j*j**(-3\/4)*j)**(-3\/10) assuming j is positive.\nAnswer: j**(245\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 - 1)*(-3 - 1 - 4)*(3 - 6*i - 3) + (2*i + 3*i - 3*i)*(-3*i + 5*i - i).\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44337001?\nAnswer: 199, 222799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - 617c5?\nAnswer: -6178c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:05 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -245.4 - -26930142339\nAnswer: 26930142093.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/21))**(-3\/37)*d**(2\/3)*d*(d\/d**22*d)\/d)**17 assuming d is positive.\nAnswer: d**(-255425\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48441, 48385, 48329, 48273?\n\"Answer: -56*q + 48497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = 46*w - 48*w. Suppose -w = -8*p + 1754. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18160.7, 3, 2 in descending order.\nAnswer: 18160.7, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11951542 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120387598237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 5*u**3 + 0*u**3 + u + 10*u**3 as v*u**3 + n + c*u**2 + i*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 + 0*m**3 - 10*m**3)*(2*m + m - 5*m) + (0*m + 5*m + m)*(m**2 + 6*m**3 - m**2) as j*m**3 + z*m**2 + w*m**4 + b + g*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 26*f = 180. Solve 5*y = -a - 28, -2*a = f*y + 38 - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 4 + 47 + 13 + 15 - 10 in the form n*m + y and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 4:14 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -10\/84433833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**4 + 8403*a**3 - 151*a**2 - 9*a**5 - 29*a**2 + 10*a**5 - 8575*a**3.\nAnswer: a**2*(a - 10)*(a + 1)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191.6, -2\/11, -0.1, 0, -2, -3 in decreasing order.\nAnswer: 191.6, 0, -0.1, -2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*56\/(-63) - -3)\/(579\/(-81639))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from {w: 10, g: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 19 + 17 - ((10 - 3) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.62 - -0.38. Let u = i - 30. Let p = u - -8.7. What is p rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-50))\/(10\/50).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(704))*5.\nAnswer: 5 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49110576*a**3 + 39694930 wrt a.\nAnswer: -147331728*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -433 (b) -0.5 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/22)\/((-3)\/20). Let t(k) = k**3 - 9*k**2 - 5*k + 2. Let g be t(n). Let y = g + -16. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 less than or equal to 363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14761 + -10071. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -15*s**4\/8 - 85*s**3\/2 - 13249*s**2. Calculate i(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {v: 2, n: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 532469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 27. Let m be a(14). Let s be (-18)\/(-12)*(m + 3). Let r be (18\/s)\/(16\/(-40)). Solve -h - 2 = r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625194?\nAnswer: 2, 812597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 - -227.9877. What is q rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 11*t + 2378166. Suppose 54*l = 83136 + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 2*q - 3. Let d be l(4). Let z = 15 + d. Let s be (4\/(-36))\/(2\/z). Which is the second smallest value? (a) 0 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 + 66. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5493921 times -3?\nAnswer: 16481763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, 5*x + o + 0*o + 9 = 0. Let s be (2*(-4 + 1))\/x. Suppose r - 47 = -q + 118, -3*q = -s*r + 483. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21436 from -4.\nAnswer: 21432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w + 14. Suppose 6 + 10 = 2*p. What is the smallest common multiple of p and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43649?\nAnswer: 43649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvzvvllll. Give prob of sequence lv.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -894077 - -295045679\/330. Let g = 3853\/15 - 258. Let b = h + g. Calculate the common denominator of 133\/18 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 1\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaacaaaaaaac. Give prob of picking 4 a.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 108?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r - 162. Calculate the remainder when 22 is divided by v(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 18 = -f. Suppose -2*h + 2*b + 18 = 0, 7*b + 8 = -3*h + 3*b. Let u = h - f. Calculate the least common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 10176.\nAnswer: 50880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 2 + -1*sqrt(245))**2.\nAnswer: -504*sqrt(5) + 1686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10998258*v**4 - 7455309 with respect to v.\nAnswer: 43993032*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2. Suppose 0 = k - 15. Suppose -k*f = -10*f + 5. Let w(m) = 6*m. Let q(a) = a. Let l(g) = f*w(g) + 5*q(g). Determine l(z(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/5)\/4*-5. Let j(r) = r**2 - 2*r - 3. Let b be j(3). Suppose b*s = 5*c - 3*s - 12, -4*s = x*c - 13. Let h(u) = u**3 - 3*u**2 + u + 1. Give h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s + 4715 - 11 = 0 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*-2 - -6. Let h be y\/2*6\/(-5). Let a = h - -18. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112355067 to the power of 1\/2, to the nearest integer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 5. Let k(b) = 14 + 612*b - 303*b - 294*b. Determine -11*d(z) - 4*k(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 4}. Give prob of sequence zxzx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*4\/(-24)*-1*6. Let g(w) = w**2 + 3*w - 2. Let d be g(-4). Suppose 2*n = -n + 12. Solve 0 = d*x - 3*t - n, 0*t - s*t - 5 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -40.875. Let t = b - 0.025. Let p = 3 + t. Which is smaller: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5 (b) -4\/7 (c) 2 (d) 0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -13*c + 30. What is the greatest common factor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 12. Let c(t) = 10*t - 4. Let r be c(1). Let p be b(r). Find the third derivative of p + 0 + 17*d**2 + 0 + 6*d**3 wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2710)\/210 - -8 - ((1 - 7) + 1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -295 - 200. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 80614?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1704 + 538. Calculate the highest common divisor of 118 and q.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011187 greater than or equal to 0.239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 a when four letters picked without replacement from llttllllalaalhllaal.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311 + 423?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252663405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-21)\/(-174))\/7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 2*o**2 + 4*o + 3. Let t be (31\/(-2))\/((-2)\/4). Let u = t - 33. Let j be c(u). Solve 5*l + k = j, 7 - 21 = -2*l - 2*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 91 = 0. Calculate the remainder when k is divided by -6 - (0 - (26 - -4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootooaato. What is prob of sequence at?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -388, -528, -650, -748?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 551*p**2 - 106331*p - 2316.\nAnswer: (p - 193)*(551*p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*y**3 + 1984*y**2 - 16492*y - 40768.\nAnswer: (y + 2)*(y + 112)*(19*y - 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3651 - -5511. Round p to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*j = 650*j + 4038 - 26554 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 69124858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0983*0.49\nAnswer: 0.048167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/204 and 97\/32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:36 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-57)*-1*(-7)\/70*5*-189.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*g + 30, f + g - 3 = 3*g. Let u(o) = -4*o - 4. Let a(n) = -7*n - 7. Calculate f*a(v) + 5*u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429137.\nAnswer: 429137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - (81 - 103)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-10)\/4 - 159\/(-318). Suppose 23 = -x*g + 27. Solve -5*n = g*d - 0*n + 5, -2*n - 13 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -21*j. Let x(l) = -30094*l**2. What is i(x(v))?\nAnswer: 631974*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/((-210)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - ((-6)\/(-8) - (-75)\/(-20)). Is 11 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 3, t: 2, v: 1}. What is prob of sequence tvr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.68, -2\/7, 0.3, -5?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -26*q**2 - 30*q + 40. Let b(a) = 13*a**2 + 11*a - 17. Let w(u) = -7*b(u) - 3*v(u). Determine w(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 40 = 26*u. Suppose 0 = -9*j + u*j - 352000. Round j to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.0445 - 0.0555. Let g = m + 44. What is the nearest to -2\/5 in g, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/20 + 13*o**4\/12 - o**3\/6 - 29*o**2\/2 - 19*o. Let f be l(10). Calculate the highest common factor of f and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6305758309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -17*a**2 + a - 1. Let r(h) = 48*h**2 + 15*h + 3. What is r(m) + 2*u(m)?\nAnswer: 14*m**2 + 17*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:20 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -404 divided by 175708\nAnswer: -101\/43927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169809 and 55338.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2635 + -2495. Which is smaller: 138 or y?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/8 + 819*h**3\/8 + 621*h**2\/2.\nAnswer: -3*h**2*(h - 276)*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5707702 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/((-3)\/(-3)). Suppose 20 = 81*i - 71*i. What is the first derivative of -4 + d + 7*o**i - 2*o**2 + 2*o**2 wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-1625)*(-1339)\/(-2163)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 2, o: 1, b: 1, s: 1, z: 2}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**5\/40 - 5*x**4\/8 + 14*x**3\/3 - 14. Let f(c) be the third derivative of j(c). Does 3 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from trtvrrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 5 = x - 23*v, 0 = -4*x + 3*v + 5. Solve 3*i - 2*z + 13 = -0*z, 3*i + x*z = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 + 261.701. What is h rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -8. Suppose -3*i = i + 12. Let k(m) = 2*m**2 + 2*m - 3. Calculate the least common multiple of k(i) and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/223533492 and 5\/28?\nAnswer: 223533492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 35. Let b(u) = 6*u**2 + 2*u + 212. Calculate -b(o) - 6*t(o).\nAnswer: -12*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-4)*(6\/10 + (-1634)\/(-285)). Which is greater: 341\/6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 15*p. Let l(z) = -298*z + 278 - 278 + 259*z. Determine v(l(u)).\nAnswer: -3042*u**2 - 585*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (23 - 8))\/(0 - -1 - -15)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.882576 rounded to two decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:01 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0062 - -513.0062. Let s = b - 513.5. Sort 3\/7, -2, s, -3 in ascending order.\nAnswer: -3, -2, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297292.\nAnswer: 2, 74323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 103830*m + 2282808.\nAnswer: 3*(m - 34588)*(m - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1275 = -2*b, -5*i - b = -1642 - 496. Let s = -4153 - -4164. What is the remainder when i is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-15)\/(-96))\/5). Suppose -92 = -3*y - 0*g - 4*g, -y + d = g. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/18 + 3*x**5\/5 + 4*x**4\/3 - 28*x**3\/3 - 16*x**2. Let y(t) be the first derivative of c(t). Factor y(u).\nAnswer: -4*(u - 4)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2650 = 65549*v - 65524*v. Solve 28 = 102*c - v*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 1\/56, 1.9, -1\/4, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 41. What is the nearest to -0.1 in 10\/3, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -1009745?\nAnswer: 1009744.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72794000 rounded to the nearest one hundred thousand?\nAnswer: 72800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 8*l**2 - 6*l - 10. Let t be i(5). Let z = -160 - t. Let s = -59 - z. Solve -j - 2*b = -1, b = -3*j + 3*b + s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/13, 0.3, 1, 3\/5 in increasing order.\nAnswer: 2\/13, 0.3, 3\/5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47809511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/3 - 74*d**2\/3 + 88*d = 0.\nAnswer: 0, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 3*r + 2. Let u(i) = 2*i**2 - 4*i + 2. Suppose 2*o + 3 = o. Let y be -2 + 2*(-1)\/(-2). Let w be y*(-2)\/(-1)*-2. Determine o*u(t) + w*n(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14834?\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - ((-4 - 0) + (-81 - -12) - -8).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/66*(1125\/220)\/(-25)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167 + 1167 + 1054*c**2 in the form m*c + q*c**2 + z and give q.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2020 - 2020 - 184*j)*(-j + j - 2*j) + (-2*j + j - 5*j)*(j + j - 3*j).\nAnswer: 374*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 123 - 31 = -5*z, 0 = -2*z - 2*l - 48. Let d be (9\/(-10))\/(24\/z). Let 1\/4*o**2 - d*o + 1\/2 = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -27681?\nAnswer: -27686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-27))\/(3\/(-3)))\/((-746)\/(-1119))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 31*u**2 + 634*u + 16704. Determine x(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/36*(-71)\/((-355)\/40).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 527 + -485. Suppose 17*l - 11*l = b. What is the least common multiple of 28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23181667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2 + 0 + -4. Suppose f - 2*n = 7, -2*f - f - 29 = 4*n. Let q be (-3 - t) + (-1 - f). Solve 11 = -2*p + q*k, 4*k + k - 15 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -58*p + 404. Give g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, p: 5, e: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 41 + 377\/(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2712*i. Let n(o) = -4*o**2 + 6*o - 18. Let r(h) = 9*h**2 - 13*h + 39. Let d(p) = -13*n(p) - 6*r(p). Give d(c(t)).\nAnswer: -14709888*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/7, 155, 0.04, -2\/17?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {n: 1, c: 2, o: 1, m: 3, k: 7}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6810135?\nAnswer: 3, 5, 454009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1032 and -89\/30788?\nAnswer: 184728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghqpqqkkqgqpuqgqq. What is prob of sequence hqup?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 24671*y - 4268045. Calculate o(173).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*p - 48 = -2*p, 5*c = 5*p + 80. Suppose w + c = 5*w. Let a be (4 - (-3 - -6))*3. Solve -2*y - 30 = 4*x + a*y, 0 = -4*x - w*y - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/82, 0.8, -2, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.769 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 3*p + 21, a + 23 = 5*p. Let b be a\/12 - (-21866)\/(-120). Let z = b - -181. Calculate the common denominator of z and -55\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 771, 1645, 2845, 4371, 6223?\nAnswer: 8401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorooyrooomom. What is prob of picking 1 o, 1 m, and 1 r?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.3, -34, 5, -6\/7, 53\/20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-9) - 3\/(-9). Let j = -82 - -86. Suppose -2*a - 4*x = x + 20, j*x = a - 16. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.5. Let f = s + -2.5. Let h = -318\/5 - -64. Is h greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*w**4 + 279*w**3 - 129*w**2 + 18*w = 0. Calculate w.\nAnswer: 0, 2\/7, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*h - 1 - 4353*h**3 + 1.\nAnswer: -4353*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -13212?\nAnswer: 13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -916.25 rounded to the nearest ten?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 29*c. Let f be 6\/(-9) - 0 - 17\/(-3). Suppose 3*k + 36862 = f*m, 3*m - 2*k - 12542 = 9575. Let g(r) = -m*r + r**2 + 7373*r. Give v(g(s)).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 7*h**2 - 7*h - 263. Let a(f) = -5*f + 2. Determine -14*a(c) - 4*b(c).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:55 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66973846067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - j - 4 + (2 + 2 - 2)*(-5*j + 6*j + j))*(-76 + 48 + 81).\nAnswer: 159*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4413*p + 15987*p + 30191 = -201289 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98883.9 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 7) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5395.94l?\nAnswer: 5395940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/9 + 10*h**3 + 868*h**2\/3 + 21142*h\/9 - 29791\/3 = 0.\nAnswer: -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12069?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 2*y**2 + 0*y**2 + (0*y + 3*y + 0*y)*(2 - 1 + 2)*(3*y + 0 - 3 - 2*y) to the form h*y + r*y**2 + f and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -48 - 26)*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/120)\/(((-54)\/60)\/((-15)\/(-20))).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 28290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12)*0)\/1. Let q(o) be the third derivative of 0*o**4 + 0*o**5 + 0 - 1\/240*o**6 - 2*o**2 - 1\/672*o**8 - 1\/210*o**7 + 0*o + g*o**3. Factor q(p).\nAnswer: -p**3*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83120298 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*t + l + 43 + 12, -5*l = -7*t + 185 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-117 - -120).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 456*b - 25992 = 0 for b.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051248 to 5 decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 + -53 - -30) + (35440 - (-1)\/1)?\nAnswer: 35437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n = -120*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1017 - 229a?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -10*g**2 - 9*g**2 + g**2 + 5 - 3. Let a(n) be the second derivative of n**3\/3 + 9*n + 1. What is s(a(h))?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) -7\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-17)\/j)\/((j**(-31)\/j)\/j*j)*j**(3\/14)*(j**(-8\/15)\/j)\/j)**(-1\/20) assuming j is positive.\nAnswer: j**(-2453\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*y = -30, y = 3*y - 10. Suppose a*c - 3*c - 35 = 0. What are the prime factors of (0 + 1)*168\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001*-3.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 8160464.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -711.6?\nAnswer: -7827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 43*s - 114. Let o be h(-40). Suppose 9998 = -4*w + o*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-165)*(-495)\/90. Factor 1\/3*s**4 + 0 + 2\/3*s - b*s**2 - 2\/3*s**3.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7753.994l to millilitres.\nAnswer: 7753994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8038118 divided by 22\nAnswer: 365369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 4 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252520 + 100301?\nAnswer: -152215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -20. Let f be (-1)\/(1\/(1 - 5)). Let o be 1*(-3 + 30\/6). What is the third biggest value in f, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*j - o - 99, 3*j + 3*o + 99 = 0. Let v = j - -40. Solve -2*b + v*b = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3640 (base 11) to base 16\nAnswer: -129b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -17*g - 16. What is the remainder when l(-7) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjdxbxia. What is prob of sequence dxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -13. Let x = 34 - q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-314)\/1256 + 2\/(3\/(-3) - 7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -635006 - 2?\nAnswer: -635008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -19. Let z = u + -9. Let o be ((-34800)\/(-21))\/(z\/8750). What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*g + 6 = -3, v - 4*g + 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (395 - 395 - 176*b**2)*(4 + 4 - 6)*(0*b**3 + b**3 - 3*b**3).\nAnswer: 704*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3\/4 - 864*o**2 - 996963*o\/4 - 496755\/2 = 0.\nAnswer: -581, -570, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -297764882 smaller than -1191059527\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2680 and 8.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 160. Let y be n\/12 - ((-7605)\/(-54))\/(-13). Solve 3*u = -2 + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v - 3 = 0. Let u be -6 + (v\/(-1) - 1). Is (-103)\/(-3) + 2\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 55, 82, 107, 130, 151?\n\"Answer: -w**2 + 32*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.390030347 + 0.42.\nAnswer: 0.810030347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + n)*(-3 + 1 + 1)*(4 + 0 - 2)*(-88 - 81 + 103).\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3972 = -3*m. Suppose -72 + m = 5*k. Let g(o) = -118*o + 7*o**2 + k*o. Let f(u) = 2*u. Give f(g(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79532 and 13480?\nAnswer: 795320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 + -250 + (-9 - ((1 - 0) + -5))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.068, 1\/2, -4?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 9 (c) -167522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 8.1 in ascending order.\nAnswer: -3, 0.2, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35573)\/(-6) - (-3)\/9. Let z = o + -5953. What is the common denominator of -2 + (-3)\/((-162)\/159) and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -10 (b) 2 (c) -3\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:38 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/a**(-4)))\/a**3)**(-2\/9))**(-36))**32 assuming a is positive.\nAnswer: a**(-1792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 10*w - 1. Let j be z(10). Which is greater: -4\/13 or j?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2)*0)\/2. Which is bigger: t or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -19. Let u = s - 11. Suppose 112 = 47964*q - 47950*q. Solve -4*n - w + q = 0, 2*w - u - 6 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:49 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1349, 5020, 11139, 19706, 30721?\n\"Answer: 1224*g**2 - g + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, s: 1, q: 1, v: 1, e: 2}. What is prob of sequence js?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**3 + 103*h**2 - 1047*h - 12. What are the prime factors of l(10)?\nAnswer: 2, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)*j\/(j*j**5))\/(j**(-1)*j)**(-2\/57) assuming j is positive.\nAnswer: j**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -18*t**3 - t**2 - 2. What is the hundreds digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/237 = -0.12422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(-4)\/((-4)\/1). Suppose 2*m = 7*m - d. Factor -3*l**3 + 33*l - 33*l + m*l**4.\nAnswer: 3*l**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216 + 553 + 239 - 148)*(0 + 0 + 2*u**4).\nAnswer: 1720*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 32009480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = 16*m - 165*m - 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/11 - 75\/(-11). Let j = l - 0. Let d = j - 4. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -79780, 489 in increasing order.\nAnswer: -79780, 1, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 - 4*q + 9. Let m(a) = -6*a**2 - 5*a + 10. Let u(d) = 7*g(d) - 6*m(d). What is the units digit of u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkaueez. What is prob of picking 1 a, 2 e, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 11, v: 1}. Give prob of sequence yv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and -43\/18346436.\nAnswer: 91732180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 3*s**2 - 3*s**2 - 7*s**2 - 3*s. Suppose 3*f + 3 - 21 = 0. Let b(n) = -13*n**2 - 11*n. Calculate f*b(m) - 11*t(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3d8089 (base 15) to base 10\nAnswer: 2963379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {m: 10, b: 3, n: 5, g: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 17*m + 22*m**3 - 15*m - 27*m**3 - 4*m**2 to t*m + q + s*m**3 + v*m**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14199.1 - -1628\nAnswer: -12571.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*b*s - b*x + 57*s**3*x**2 + 90*s**3 - 9*s*x**2 - x**2 wrt x.\nAnswer: -b + 114*s**3*x - 18*s*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.5 + 54. Let m = -449.03 + 449. What is the closest to m in -0.4, t, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -43, -1 in increasing order.\nAnswer: -43, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*i - 65*i - 96*i)*(0 + 3*i**2 + 0) to the form v*i**3 + o*i + c + w*i**2 and give v.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 65 + 5 = -10*m, 12*m + 0*q - 3*q + 96 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 213787654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 4*t - 8. Let m(n) = 4*n - 2. Let g be m(2). Let c be i(g). Let x be ((-7)\/c)\/(2\/(-8)). Solve 4*h + 6 = -2*a, h = a - 2*h - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 450?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*j + j = 25, 64 = 5*s + 3*j. Let h be (-2)\/(-2) + s*1. What is the units digit of h\/2*(-2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 554699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from offffffoffff.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 14*u - 17. Let o be g(-12). Let s(p) = -p**3 + 5*p**2 + 12*p + 5. Give s(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 14. Calculate the lowest common multiple of 24 and l(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 3*b - 1. Suppose 0 = -13*k + 10*k + 9. Let i(a) = 3*a**2 + 5*a + 2. Calculate k*i(l) + 5*q(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 10. Let r = t - 2. Let z(l) = r - 1 + 3*l - 2*l. Give z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6, 20*m - 21*m - 4*l = -6010. List the prime factors of m.\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*w + 29*w - 18*w)*(0*w + 3*w - 5*w) + (0 - 2 + 3)*(-w + 6*w**2 + 2*w - 8*w**2) + w**2 + 3*w**2 - 3*w**2.\nAnswer: 41*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 - 22*w**2 - 2*w - 9*w**4 + 2*w**3 + 481 - 482 to t*w**3 + u*w**4 + j + i*w + p*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - -13. Suppose r = 4*f - 45. Solve 3 - f = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, 232, 241, 254, 271, 292, 317?\n\"Answer: 2*g**2 - g + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2455563 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from kjaaaaapa.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yty when three letters picked without replacement from {m: 1, t: 2, l: 1, y: 2, i: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-218)\/(-80) + 4\/10 and (-85 + -1)*(-31)\/620.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44854704619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -33*s**2 - 44*s + 80. Determine q(2).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o - 51. Let n = -71 + 76. Let h be a(n). Solve -12 = 6*q - h*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 - (-11890 - (-2 - 12)*1\/(-2))?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17830985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(294))\/((sqrt(14) - (sqrt(14) + 4*sqrt(14))*-5)\/sqrt(7)).\nAnswer: -42*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w + 5 = 0. Suppose 0 = -b - 4*b + 15. What is the greatest common factor of b and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383721, -1534874, -3453457, -6139464, -9592889, -13813726, -18801969?\nAnswer: -24557612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -1. Let z = -12.912 - -15.912. What is the closest to -2\/3 in x, 0.29, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 70*t**2 - 69*t + 29. Let o be x(36). Solve -o*j - 22 = -126*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + h + 6 = 0, -h = 4*h + 10. Let x be (55\/20)\/(b\/424). Suppose 0 = -2*c + 3*g - x, 4*c + c - 4*g = -1454. Round c to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**5 + 734*j**4 + 25218*j**3 + 13066*j**2 - 58808*j + 19800 = 0. What is j?\nAnswer: -25, -2, 2\/5, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 349471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4072 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -1172, -1201, -1224?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 81 = 2*r, r = -0*z - 4*z - 113. Let l = 83\/3 + z. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14717 + 19293. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757538897 - 3*v - 757538897.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 17*c**2 - 17*c - 13. Let o be l(18). Suppose z + 19 = 5*w, 4*z + 4 = -o*w + 3. Solve -2*v + 9 = -w*r, 3 = -2*r - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30802702 - -5821.\nAnswer: -30796881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - 90\/(-20). Let d(g) = 6*g - 8. Calculate the smallest common multiple of d(j) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*r - 0*j + 6, 0 = -3*r + 2*j - 10. Which is bigger: -242 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(-5)))\/f**22 assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 + -128. Calculate the remainder when f is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233111 (base 4) in base 15?\nAnswer: 21a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 4*n = -23*m - 25, -2*m = 2*n - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttsetqtttet. What is prob of sequence ttq?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-2685)\/(-358)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g\/g**(1\/2))\/g)*g*g\/g**(5\/2))\/(g**(-2\/3)\/g*g*g*g*g\/((g\/(g\/g**2))\/g)))**(-32) assuming g is positive.\nAnswer: g**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 9*c**2 + 14*c - 9. Let q(h) = 5*h**3 + 18*h**2 - 27*h + 19. Suppose 4*t = 8*t - 28. Let g(n) = t*d(n) + 4*q(n). Does 14 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -3. Let t = u - -0.1. Let b = 3 - 3.4. Put t, b, -3 in decreasing order.\nAnswer: t, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -94*r**2. Let t be 13\/((-65)\/(-30)) + 5. Let z(o) = 10*o + 31 - t*o - 31. Determine z(q(k)).\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (12 - 9) + (-119 - -153)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -0*d, -1879 = -5*x - 3*d. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44983?\nAnswer: 44983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l = 187 + 58 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 305*i - 145*i - 155*i. Let k(z) = 3*z**2. Determine k(l(n)).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiigi. Give prob of picking 1 i and 1 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -47*w - 516. Give c(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2918*3.\nAnswer: 0.8754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 7:13 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460085643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760, 758, 756?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79 and 8927?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3*h**2\/2 + 1. Let i(y) = y**3 + 8*y**2 + 7*y - 3. Let u be i(-7). What are the prime factors of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024521 is divided by 3698?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2236, -4, 0.05 in descending order.\nAnswer: 2236, 1\/2, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 24 (c) 4 (d) 3\/7 (e) 0.269 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-133)\/19)*5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 42, 106, 196?\n\"Answer: 13*f**2 - f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 + -193. Suppose 15 + 1 = -a*q. Let n(d) = 2*d**3 + 4*d**2 + 2*d - 2. Determine n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 2 (c) 0.37 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575157 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 199444071019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/3 - 4*n**4\/3 + 10*n**3\/3 + 20*n**2\/3 - 8*n\/3 - 16\/3 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3094.676um?\nAnswer: 0.003094676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1965, 2003, 2055, 2127, 2225, 2355?\n\"Answer: y**3 + y**2 + 28*y + 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**4 - 63*q**3 - 1176*q + 1 wrt q.\nAnswer: -48*q**2 - 378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20810.059845 - 13.\nAnswer: 20797.059845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 533320439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 4*u + 1\/6*u**4 + 0 + 0*u**2 + 1\/3*u**3. Factor s(o).\nAnswer: 2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66\/7 - 712\/77. Which is smaller: 0.24 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32070261 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-3) - 6\/9*1. Calculate the remainder when 67 is divided by ((-3)\/p)\/(7\/84).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - ((-16 - -5) + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let y = 5926 + -5928. Which is the closest to 14? (a) h (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose 5*p = -l*p - 15. Sort -1, 5, p in decreasing order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 2*r + 2*r. Let o(x) = x + 2. Let a be o(-1). Let j(n) = -1 + a - 3*n**2 + 5*n**2. Determine i(j(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4422 or 4415?\nAnswer: 4422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17152 = 9222*z + 739052 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 30656 - 40404 = 0. What is the highest common factor of 440 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 - -241. Suppose f - 337 = -3*t + 6*f, a*t - 565 = 5*f. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2831250 and 49\/25?\nAnswer: 2831250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -24\nAnswer: -121\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 193*k. Let s(a) be the first derivative of a**3\/3 - 208. Calculate s(y(i)).\nAnswer: 37249*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 7.6205?\nAnswer: 16.6205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1715 and 1860635?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 602828823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*s - 123*s + 453*s - 8560 = 0 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 95*a + 965. Calculate the remainder when j(-12) is divided by (1 - 346\/(-10))*(-50)\/(-20).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*z - 9927, -4964 = -p + 8*z - 10*z. List the prime factors of p.\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x. Suppose 0 = f + w - 9, -5*w = -x*f - 2*f - 10. Calculate the lowest common multiple of 3 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 - 18 = 0. Suppose s*r + 10 = 22. Solve 0*u = -r*i - 2*u - 20, -3*u = 4*i + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 10*i**2 - 10*i + 11. Let w be j(9). Which is the nearest to -2\/39? (a) 0.4 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -63\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-71)\/(-142) - (-3)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*h**4 + 26*h**3 + 811*h**2 wrt h.\nAnswer: 432*h + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160320 a multiple of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 575 = 2*t - 1396, -2*t = -3*n + 2423. Calculate the remainder when n is divided by 91.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -200*s - 5. Let u be h(-4). Suppose -13*n + 5978 = -u. Suppose 3*l - n = 1150. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1423 + -506. Suppose -d = -6*o - o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-1302)\/465)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*a + c = 152*a + 15, 4*a = -5*c + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20946*b**2 + 4491*b**2 + 9624*b**2.\nAnswer: 35061*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56849?\nAnswer: 13, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 4.4, -1\/16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 11}. What is prob of sequence wwwj?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*z - 17, -3*z + 4*t + 36 = -0*t. Let i = -3961 + 3992. What is the remainder when i is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 48615?\nAnswer: 1652910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13113 is divided by 1872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (10 + (33 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let y be z(-2). Calculate the lowest common multiple of 2 and (1\/y)\/((-1)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/190)\/(24\/64)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from nkkhi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 255. Suppose 0 = 4*v - 378 + x. Suppose -k + 4*k - j = 38, -5*k + 2*j + v = 0. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -726003\/4964 + 2488\/17. What is the common denominator of -19\/657 and t?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1502, 1497, 1488, 1475?\n\"Answer: -2*a**2 + a + 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139810305 divided by -15?\nAnswer: -9320687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 880 = -2*p, 4*w - 1506 = 4*p - 618. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8791 by 1.\nAnswer: -8791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(343) + -1 + sqrt(343) - sqrt(343)).\nAnswer: -6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (60\/40)\/(9\/15)*(-4)\/120\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (486 - -1) + -175 + 177. Suppose -5*s + 4915 = o. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -2aa7?\nAnswer: -2a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*i = 11, -4*i + 0*i + 16 = p. Suppose p = 2*o - 16. Calculate the remainder when 17 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 661024*r**5 + 2*r**4 - 2*r**2 + 9055359*r.\nAnswer: 13220480*r**3 + 24*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5339 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 smaller than -5406\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - -11) - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920151753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 4. Let x be m(-3). Suppose 3*h = -s + 8, -5*s - 36 = -4*h - 0*s. Suppose h*f = -x + 53. Solve a - r + f = 0, -4*a - 3*r - 9 + 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*g + 3*g - 3, -2*g + q = 6. Let z be 28\/7 - (-46 + g). Suppose z*u - 56*u = -5. Calculate the highest common divisor of 11 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223095 at least 223347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-1)*(-111)\/(-15)*(-1315)\/789?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 1. Suppose -6*x + 4*x + l = 2*g, 3*g - 4*x - 11 = 0. Let 11*c**g - 32*c**3 + 6*c**4 + 25*c**5 + 20*c**4 - 26*c**2 - 4*c = 0. Calculate c.\nAnswer: -1, -1\/2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, -31, 3237, 2, -2, -1 in decreasing order.\nAnswer: 3237, 5, 2, -1, -2, -23, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 26864*z - 180418624 = 0.\nAnswer: -13432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -24, -27?\n\"Answer: -3*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*j**3*s**3 + 1158*j**2*s**3 - 2*j*s**3 + j - 482*s**2 - 97 wrt j.\nAnswer: 396*j*s**3 + 2316*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 48*h + 8124. Determine p(-169).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -89428, -4, -5 in ascending order.\nAnswer: -89428, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 24*a + 22. Suppose -2*g = -0*l + 4*l - 36, l = -g + 22. Is 5 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(15\/(-87)) + 1. Let n = -21 - w. Let j(u) = 8 - 6 - n*u**3 + 0 + 3*u. Let f(k) = -8*k**3 + 4*k + 2. Determine -3*f(l) + 4*j(l).\nAnswer: -4*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19361616 and 1074816?\nAnswer: 14928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + v + 22, 2*f + 12900*v + 2 = 12904*v for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-8))\/(9\/(-4))*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-75)\/24 + 3). Which is the third smallest value? (a) 0.3 (b) 0.06 (c) 0.4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -17 - (3 - 3)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -11, -0.05, -49?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = -128*r - 700. Let d = 0 - 0. Put -1, r, d in descending order.\nAnswer: d, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8719089 - -17739911. Round u to the nearest one hundred thousand.\nAnswer: 26500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -v, c = -5*v + 99 - 67. Solve 2*t = m + c, -5*t + 1 - 7 = 3*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-93 + 38 - -45) + 53\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 6) to base 12.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/13 and -87\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8306.306 grams in tonnes?\nAnswer: 0.008306306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-7) - 6\/21. Suppose 0 = t - 3*h - 19, 64 - 14 = 2*t - l*h. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {v: 3, u: 2, c: 3, s: 1, h: 4, n: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1131528 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l. Let o(d) = -8161*d. Calculate o(x(v)).\nAnswer: -146898*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) 0 (c) 352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a - 4. Let u(t) = t + 1. Let c(s) = -5*s + 7. Let r be c(3). Let d be 3\/(1 + 4\/r). Give d*u(f) + p(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/((-3)\/(-8)) + 3. Is 4 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2 - 2*a**2 + a**2 - 3*a + 4. Suppose -5*q = -2*p - 30, 3*q + p = 2*q + 6. Suppose -10*z - 16 = -q*z. Determine o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((180\/8)\/3)\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.43 and 27150?\nAnswer: -11674.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3. Let v be a(0). Solve g + 0 = v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 291?\nAnswer: -140\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 + -9.78. Let a = w - -7. Let b be 0 + 1 - (-1 - 1). What is the nearest to -1 in a, 4\/5, b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12535 + 14525. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -12*z + t - 2, 4*z + 4*t - 8 = 0. Which is the closest to z? (a) 1 (b) -8 (c) -2 (d) 2\/119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*k**6 + 67*k**6 + 15*k**6 - 56*k**2 wrt k?\nAnswer: 19440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by 2.\nAnswer: 223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 105 = 39. What is the common denominator of q and -55\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {p: 7, z: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 g when three letters picked without replacement from gtgtgtktgkttggk.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -31033?\nAnswer: -31110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -496, 0.71, 8, 7?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let v(o) = o. Let j(k) = 6*t(k) + 11*v(k). Let d be (0 - 0) + (1 - 0). Let p(l) = -l**2 - 1 + d. Calculate j(p(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k - 66*k + 78526 = -122*k. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -24*z - 501. What is k(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6931 bigger than -6933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((sqrt(567) + -6*(2*sqrt(567) - sqrt(567) - sqrt(567)) - (sqrt(567) + -1*sqrt(567))*-5)*-1)**2).\nAnswer: -2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1546 and 97\/4638.\nAnswer: 4638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 3\/13, -1\/7 in descending order.\nAnswer: 3\/13, 0, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 26 - (-594 + 599)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 19. Let j be a(9). Suppose -2*q + d - j = -478, 2*q = -3*d + 486. Let c = q - 87. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:13 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 2\/5 (b) -3\/2 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, r: 8, e: 4}. Give prob of sequence oror.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-495)*(-198)\/(-324).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/((-2)\/(-190)). Let t = 43 - g. Suppose -x - 20 = -t*j, -5*j + 2*x = -2*x - 35. Solve 4*y + 4*k = 16, 0 = -j*y + 4*y - k + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3468112144 and 0.3.\nAnswer: 1.6468112144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26313991\/144 - -182737. Find the common denominator of 167\/240 and h.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65365.2 - 1.\nAnswer: -65366.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-54)*-5*42\/7350*35.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21762 and 349734?\nAnswer: 1268485218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 2*q - 2. Let d be k(2). Calculate the greatest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -4 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3511, -3508, -3505, -3502, -3499, -3496?\n\"Answer: 3*q - 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3304 and -151\/6?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793074 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22464 or 22489?\nAnswer: 22464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14887*l*q**3*s**2 + 2196*l*q**3*s + 45022*q**3*s**2 - 3*q**3*s + q**3 + 3*q**2 + 2*q*s**2 - s wrt l?\nAnswer: -14887*q**3*s**2 + 2196*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261 + -257. Suppose -4*x + 14 = 2*s, -3*x = -3*s - x + 13. Solve 5 = -v, -g*v - 30 = -s*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (3414\/(-1713))\/1. Is y bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2644 - 4673 - 4086. List the prime factors of d.\nAnswer: 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gfffffffgf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151364103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 3 = 13*v. Sort 4, v, -3 in ascending order.\nAnswer: -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5*sqrt(2205))\/(2*-3*sqrt(9)) + -4)*-5.\nAnswer: -875*sqrt(5)\/6 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 - 1765*k + 876*k + 889*k. Let i(u) = -u - 1. Let d(y) = 3*y + 6. Let c(h) = d(h) + 6*i(h). Determine w(c(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 366*m**2 - 9771*m + 1538. Determine a(-391).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1091050858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 + 377. Suppose z = 4*r + 12, 2*z = 3*r + 32 - 3. Solve 2*v - d = 3*m, 4*v - 2*m - z = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -0.1195.\nAnswer: 3.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2\/2 - y + 6. Let a(l) = 3*l + 3. Determine 2*a(h) + 5*q(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22203240 (base 5) in base 7?\nAnswer: -1436111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2\/(-26))*-5. Suppose w - a - 72 = 0. What is the remainder when w is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 5, z: 2, u: 3, a: 1, f: 3}. What is prob of sequence zfq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**3 - 2*g**2 + 2*g - 1. Let q be z(1). Suppose 0 = -3*r - m + 5*m + 6, -r - m = -q. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 q when three letters picked without replacement from {b: 1, i: 1, q: 1, y: 2, x: 1, g: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*p**3 + 985*p**3 - p + p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0*l))\/(l\/l**(-1\/11))*(l\/(l\/l**(-3)))**(-42) assuming l is positive.\nAnswer: l**(1374\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*(28 - 28 - 22*t) + t + 9 - 9 - 3*t**2 - 23*t**2 + 11*t**2 + 3*t**2.\nAnswer: -34*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 59*x**2 - 3. Let a(b) = -2*b**2 + 10*b. Determine a(m(n)).\nAnswer: -6962*n**4 + 1298*n**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212894.01 rounded to the nearest one hundred?\nAnswer: 212900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010011101100 (base 2) in base 9?\nAnswer: 13862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-326)\/6*(-9)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (4 + sqrt(1331)*1) - (3 + 0 + sqrt(1331)) - (5 + -4*(sqrt(1331) + 1)))**2.\nAnswer: -528*sqrt(11) + 12043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0916*561.38.\nAnswer: -51.422408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 6. Suppose 0 = 5*h - 5*f + 3 - 28, -h - 3*f = v. Suppose 0 = -h*g - 1 - 1, -3*u + 2*g = 1. Put 5, u, 1 in decreasing order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4639 - -9818. Suppose -p = -3*c - 0*g - 4*g, c = 5*g + 1758. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 3*o**5\/20 - o**4\/3 - o**3\/2 - 5*o**2\/2 - 32*o + 1. Find the second derivative of q(b) wrt b.\nAnswer: 18*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.28 from 18589.\nAnswer: 18597.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 6658 + 6174 - 12831. Let r(c) = 1. Let x(s) = -s**2 + 4. Let h be x(3). Calculate h*q(i) + 5*r(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -273853327.00024 - -273799418. Let s = m + 53904. Let x = s + 5. Round x to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b = -2*h - 52*b + 33552, -5*h + 3*b + 83937 = 0. List the prime factors of h.\nAnswer: 3, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.763937 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*a + 911*a**2 + 915*a**2 - 900*a**3 - 1833*a**2 + 3056*a**3 wrt a.\nAnswer: 12936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 327 - 21 = 0. Let y = -21 + v. Let t(d) = d**2. What is the remainder when y is divided by t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(456\/(-798))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 424180.\nAnswer: 1\/212090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:55 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -352301249 at most -352301249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3644*j - 1210*j - 1 - 1211*j - 1222*j. Let a(u) = 5*u + 0*u + 0*u - 7 - 3*u. What is a(x) - 6*i(x)?\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/13))\/(((b**(4\/5)*b)\/b)\/b))\/(b*b*b**(-1\/13)*b**7*b))\/((b**(1\/4)\/b)**(-1\/4)*b*b**1*b**3) assuming b is positive.\nAnswer: b**(-14307\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/7, -2, 1\/31 in ascending order.\nAnswer: -2, -0.5, 1\/31, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**3 + 7*t**2 - 3*t + 1. Let a(o) = 5*o**3 + 8*o**2 - 4*o + 1. Let z be 300\/825 - (-80)\/22. Determine z*s(q) - 3*a(q).\nAnswer: q**3 + 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 12 + 15. Suppose -l = -5*v - 110 - 7, -2*v + 300 = o*l. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 43 + 23 = 0. Let t = -13 - z. Let m = 35 - t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2641, -0.05, 2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3 (b) -501 (c) 235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 1390, 1389, 1388?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/60 + (-3934)\/(-2248).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314469583.\nAnswer: 7, 67, 2802707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Suppose 2 = -2*f + g. Suppose -x - 34 = -f*x + 4*m, -3*m + 101 = 4*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111707?\nAnswer: 17, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 210*z - 5002. Determine x(27).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/241746 and 83\/16125.\nAnswer: 30218250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -59*c + 1058. Let q be w(18). Let n(u) = u**2 + u - 12. What is n(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/6*(-8250)\/12375?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207054103 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: Three letters picked without replacement from {o: 2, m: 1, f: 1, q: 1, k: 1, w: 2}. What is prob of sequence wkw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + -6 + (-15 - 3) + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15084 + 5?\nAnswer: 15100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 13*w + 7246 = 2*c, 3*c = -5*w + 10845. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 30. Let t(b) = -2*b**3 + 4*b**2 + 32 + b**3 + 10*b - s. Let u be t(6). Solve u = -z + 3*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*5)\/(4 - 5). Calculate the smallest common multiple of 8 and (-6)\/8*(o - -3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 2*u + 10. Let b be a(-8). Let s = 115 + b. Find the common denominator of -63\/40 and (5\/3)\/(20\/s).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 328 - 336. Let x be 4*(-10)\/d - (-1 + 112). Is -105 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 50 + 160*q)*(4 - 1 - 1)*(-3*q + 2*q - q).\nAnswer: -640*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 30. Let l be a(0). Let d = 3 - l. Let k be (-3)\/(-2)*(-5 - -7). Calculate the greatest common factor of d and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6896697 is divided by 1455.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -2\/3 (c) 20 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268581252 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/15 and -9\/13115.\nAnswer: 39345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 6. Let c be (4\/s)\/((-2)\/3). Is (-1)\/((-3)\/2448) + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -501 - -646. Let l = w + -144.8. What is the nearest to 9 in 0, -17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -645, -660, -693, -750, -837, -960, -1125?\n\"Answer: -y**3 - 3*y**2 + y - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310 by -1016.\nAnswer: 155\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -61. Solve -x - 7 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15544?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7067 and 16617?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 5*k**2 - 3*k + 5. Let r be o(-4). Let w be r\/(2\/((-16)\/(-4))). Solve -w + 0 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (16 + -13 - (0 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 5 - 3*s**4 + 10*s**4 - 2*s - 5*s**4 - 3*s**4 in the form n*s**2 + f*s**4 + l*s + t*s**3 + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841396?\nAnswer: 2, 19, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*k**2 - 8*k**3 - 62*k**2 - 4*k**3 + 5*k**3 - 2*k**3 + (k**3 - 3*k**3 - k**3)*(2 - 2 + 2) - 3 - k**3 + 3 + k**3 - 4*k**3 + 2*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((-42)\/(-4)) + 38450\/70?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pgbggggwggwggw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1350)\/(-81)*6\/5. Let g = k - 18. Suppose -5*y + 1 = 6. Sort y, 7, g in increasing order.\nAnswer: y, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*v**2\/5 + 5989094*v\/5 - 87752.\nAnswer: -(v - 21938)*(273*v - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4078 - 4078. Which is the closest to 0.1? (a) 39 (b) -2\/13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/580 and -43\/45.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -39*v. Let q(s) be the third derivative of 7*s**5\/60 + 228*s**2 + 2*s. Calculate a(q(k)).\nAnswer: -273*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(-b - b + 3*b) - b + b - b**2 + 2*b**2 - 3*b**2 - b**2 - 2*b**2 - 2*b**2 + 7*b**2 + 23*b**2 - 190*b**2 - 900*b**2 + 121*b**2.\nAnswer: -948*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*u - 282*u - 31*u - 21105 = 0 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2, 499106 in descending order.\nAnswer: 499106, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862775010.\nAnswer: 2, 3, 5, 709, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -653, -5263, -17761, -42089, -82189, -142003, -225473, -336541?\nAnswer: -479149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 327*s**2. Let h(m) = -9*m**2 - 11*m**2 + 19*m**2. Give c(h(t)).\nAnswer: 327*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 153*f**2 - 10254*f + 205. Calculate i(67).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((-3)\/(-9)). Let c(l) = -2*l + 3. Let i be c(k). Are i and -4\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.212 + -48.312. Let u = -48.2 - d. Suppose -5*o + 4*w - 409 = 0, -7 = 2*w + 1. Is o at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -20\/3, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 4*r - 179, 0 = 2*r - 4. Is ((-2)\/6 - 0)\/(u\/(-260433)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13066 times 474\nAnswer: 61.93284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*w + 76*w + 21. Suppose -2297 - 783 = -w*p. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9, w: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + p + 13 - 3 = 0, 10 = u + 2*p. Suppose 0 = 2*x - u - 4. Let s = x + 16. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.048 + 0.047990496. Round v to 7 dps.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + 16. Suppose 4*t + 5 - m = 0. Suppose 2*c - f + t = -3, -5*c + f = 52. Is c bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -t. Let n = 1374 - 1343. Suppose j - 6*l + t*l = 32, 2*j - n = -3*l. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -6*j + 12*j. What is the remainder when 9 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 75. Suppose 28 = 2*x - 4*m, 6*x + m - 37 = x. Calculate the remainder when (x\/10)\/((-4)\/(-20)) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*w + 4*p - 9, w + 5*p + 14 = 0. Let i(j) = -j**3 + 43*j**2 - 37*j + 106. Let q be i(42). Suppose w*v = 2*v + q. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34606152 a multiple of 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, 3 in decreasing order.\nAnswer: 3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 175*k + 177*k = 31, 4*b - 23 = -k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23545259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 6\/2777?\nAnswer: 6\/2777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x**3 - 46*x**3 + x**2 + 22055*x + 45267*x.\nAnswer: -2*x**3 + x**2 + 67322*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.106 and -348410682398.\nAnswer: -348410682397.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2808995226 to 3 dps.\nAnswer: 0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575435 is divided by 1085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:25 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6044523 divided by 921\nAnswer: 6563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*sqrt(80) + sqrt(80))**2 - sqrt(80).\nAnswer: -28*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s + 679*s - 4*s = -295*s + 77259 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -60. Let o = -16.31 + -2.69. Let s = o + y. Which is the biggest value? (a) 2 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/55 - 41\/55. Let h = -203 - -200. What is the nearest to -6 in -5, y, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 27. Let p(c) = -3*c - 26. Let g(h) = -4*n(h) - 5*p(h). Let r be g(-6). Let -1\/6*k**5 + 0 + 2\/3*k**r + 2\/3*k**2 - 1\/6*k - k**3 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*u**2 + 4 + 73*u**2 - u - 183*u**2)*(-9 - 2 + 5)*(8 - 8 - 2*u) as k*u**3 + w*u**2 + r + v*u and give k.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/9 - 2504*w**4\/9 + 28600*w**3\/3 + 1276100*w**2\/9 + 5080250*w\/9 + 642500 = 0?\nAnswer: -1285, -5, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2\/8 - 393*x\/4 + 51483\/8 = 0. Calculate x.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -8. Let n(b) be the first derivative of -b**3 + 2*b**2 - 2*b - 346. What is n(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-53 - 96 + 294)*(-1 - x + 1) in the form o + r*x and give r.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 898*o**3 - 13*o + 28. Let w(v) = v - 3. Let j(f) = -m(f) + w(f). Find the second derivative of j(l) wrt l.\nAnswer: -5388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2000502052.\nAnswer: 2, 500125513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let f = -0.181 + 0.181. What is the third biggest value in n, -1\/6, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(425) - sqrt(425))*-2)**2 - (sqrt(425) + (-3 + (-1*sqrt(425) - sqrt(425)))**2 - sqrt(425)).\nAnswer: -1709 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4744 and 568687?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1*j*j**8\/j*j\/(j*j\/j**(-3\/7))*j**(2\/5))\/(((j**(1\/4)\/j)\/((j\/(j*j\/j**5))\/j))\/(j**8\/((j**6\/j)\/j))) assuming j is positive.\nAnswer: j**(2061\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 434 + 201. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyyyfbsbbyxybxixy. What is prob of picking 2 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -7*q**5\/120 - 30*q**4 + 103*q**3\/3 + 185*q**2. Factor i(u).\nAnswer: -(u + 206)*(7*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 48 = 3*w + 4*j, 3*j + 9 = 0. Let p be (-40)\/6*(-6288)\/(-40). List the prime factors of (9\/(-6))\/(w\/p).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*h**2)*(-h - 1058 + 81*h**2 + 1058).\nAnswer: 243*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*(sqrt(405) + 4 + sqrt(405)) + (sqrt(405) + (2*sqrt(405) - sqrt(405)))*1)*5)**2.\nAnswer: 21600*sqrt(5) + 366100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.78 + -36.9. Let g = s + 5.42. Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = l + 10, -2*q + 5*l = q - 22. Let k = 11465\/638 - 388\/29. Find the common denominator of -18*q\/80*-2 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452731 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(106\/10 + (36 - 47)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(120)\/sqrt(8) + sqrt(15))*-4 - sqrt(15)) + sqrt(15))\/((sqrt(40)*-3)\/sqrt(8)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - (-21 + 7)) + (-2 - 0). Let i = 3.6 - 4. What is the closest to -0.4 in 0.1, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -578\/35 - -110\/7. What is the closest to 1 in -3, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*y - 7. Put -3, 4, y in increasing order.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**7\/420 - 47*q**6\/240 - 51*q**5\/8 - 1575*q**4\/16 - 1125*q**3\/2 + 9*q**2 - 3. Factor p(y).\nAnswer: -(y + 2)*(y + 15)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/4 + 5015*j**4\/4 - 5011*j**3\/4 - 15043*j**2\/4 + 1253*j + 2507 = 0 for j.\nAnswer: -1, 1, 2, 5014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 681517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*b - 8 = 0, 7*b = 4*b - 6. Suppose 0 = -o*l + 6, 0*l = -2*t + 3*l + 4. Solve -4*n + 4*u - 16 = 0, 0*n + 4*u = -t*n + 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3015879*o**2*y + 76*y + 4281 wrt o?\nAnswer: 6031758*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*b - 1. Find the first derivative of -o - b + 2 - o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z**(2\/5))\/z*z)\/(z\/z**(5\/2)))\/(z**9*z**9) assuming z is positive.\nAnswer: z**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 l when three letters picked without replacement from uullffllfluffoufl.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, z: 1, m: 3, q: 9}. What is prob of sequence pqmp?\nAnswer: 45\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2259902 or 2259901?\nAnswer: 2259902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-185))\/((-8)\/60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)*t**(-1\/6))**(-11\/6) assuming t is positive.\nAnswer: t**(275\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 609499 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -357. Solve 0 = 2*r + 3*r + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -93*f**3 + 3*f**2 - 5*f + 3. Let y be 16\/(-88) + (-39)\/(-33). Let o be n(y). Calculate the common denominator of (1 + (-31)\/4)\/(o\/69) and 1\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 283892, 283894, 283896?\n\"Answer: 2*k + 283890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -638, -637, -634, -629?\n\"Answer: s**2 - 2*s - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 575.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Let k be (-2)\/(-4)*(-6)\/s. Find the third derivative of 2*i**k + 8*i - 8*i + i**2 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97404\/5 >= -19481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 5:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -5, -3138, -16, -71.\nAnswer: -3138, -71, -16, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.5 and 0.499.\nAnswer: 4.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2233 + 5513 = -1291*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 128 = -6*j. Suppose -2296 = -9*w - 2143. What is the remainder when j is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2. Let y(q) = -42*q. Determine y(g(r)).\nAnswer: -126*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + 5 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/121 and 54\/14378177.\nAnswer: 158159947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75576.38 meters?\nAnswer: 7557638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:34 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(540)*2 + (-2*sqrt(30))\/sqrt(2))\/(sqrt(405) - (sqrt(405) + sqrt(405)*-1)*-4).\nAnswer: -20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/2 + -1 + 0. Let p(l) be the second derivative of l**5\/20 + 7*l**4\/6 - 5*l**3\/6 + l**2\/2 - 70*l. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026408015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 3. Suppose -11*a = -16*a + 535. Suppose 4*v + 3*i = -2*i + a, -5*v = -4*i - 144. What is the remainder when v is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r + 20. Suppose 0*u + 4*k - 6 = -3*u, -5*u - 2*k = -24. Solve -r*m + u*m = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2. Let t(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - 1\/6*u**4 - 12*u. What is o(t(a))?\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -36*w + 860. Let r = 236 - w. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533519381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-100)*12\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 3*j**5\/40 - j**4\/8 - j**3\/4 + 3*j**2\/4 + 2*j. Let q(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831282 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1110001011 (base 2) to base 13\nAnswer: -54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -136800 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 6*g - 7. What is h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 4, 1, -1287 in descending order.\nAnswer: 5, 4, 1, 0, -2, -1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 618 - 65 - 558*i - 248 wrt i.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4 - -5) + 0)*17. Suppose f = 3, 2*f - 151 = -3*b + w. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0771716 to 3 dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7585433 (base 10) to base 15.\nAnswer: -9ec808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1790712 and 173\/2528988.\nAnswer: 288304632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s - 1 - 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 63\/(-28) - (6 - 4). Which is the fourth biggest value? (a) 7.2 (b) 2 (c) 3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:17 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-16 - -12)) + -2 + 2 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005757 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(320) + -1)*6 + 4 + -1 + -3) + 5)**2.\nAnswer: -96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63948450 - 63948450 - 4*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/(-14))\/((-2)\/(-100)). Suppose r = 4*o - 279. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32102023\/186 + -172591. Let h = f + -2\/93. Let g = -0.1 - -0.1. Sort g, 2, h in decreasing order.\nAnswer: 2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:30 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3473*w - 427043. Calculate b(-123).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/849541?\nAnswer: -1\/849541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*h + 8, -33*r = -38*r - 3*h + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/13? (a) 2\/161 (b) -2 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.62 - -0.92. Let h = z - -5.99. Let s = -0.59 + h. Which is the nearest to -0.1? (a) -0.5 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169851628.\nAnswer: 2, 42462907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42110591 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 42*m**2 - 195*m + 11. Let w be f(-38). What is the highest common divisor of w and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let x be (3 + -2)*(-4 - 1). Let s(k) = -3*k - 5. Let j be s(x). Suppose -2*v + j = 2. What is f(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let c = 8 - k. Let m = -1 + 0.5. Sort m, c, 0 in decreasing order.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360*v - 6649*v - 71551 = -376832 - 128417 for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/(-15))\/(22\/(-275))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let m = 20.856 + -22.856. Which is the third smallest value? (a) 2 (b) -1\/4 (c) m (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.348 and 11.61.\nAnswer: 11.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 - 6)*(-j**2 + 0*j**2 + 0*j**2) - 19*j**2 + 37*j**2 + 8*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10525848 at least as big as -94732630\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**4*(j**(-1\/4)\/j*j)**(1\/18)*j\/(j*j**(1\/9)*j*j*j)*j**(-3)*j**(-6)*j**(-1) assuming j is positive.\nAnswer: j**(-283\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - 4*n)*(2*n**2 - 2*n**2 + 3*n**3) - 2*n**4 + 0*n**4 + n**4.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 - 316.999999469. What is v rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31272663.\nAnswer: 3, 23, 453227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 2*m + s + 144, 49 = -m + 3*s. Let l be (-3)\/(-6)*(183 + (1 - 4)). Let a = l + m. Does 31 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10)*0*4\/12. Solve v = 6*p - 11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13221611 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: Collect the terms in -188*o + 2*o**2 + 188*o - 382*o**3.\nAnswer: -382*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**5 - 3632*t**4 + 5933596*t**3 - 14226136*t**2 + 10666112*t - 2369920 = 0 for t.\nAnswer: -644, 2\/5, 1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/23366321 and -10\/1015927?\nAnswer: 23366321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q. Let f = q + 2. Suppose f*y - 5*y + 9 = 0. Solve -l - y*l - 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -167*x + 12899. Let y be i(77). Solve 0 = y*n + 37*n + 616 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 489*j**2 + 3765*j - 6975.\nAnswer: 3*(j - 155)*(j - 5)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/15)\/((-11)\/((-385)\/(-266))). Which is the fourth smallest value? (a) -10 (b) -0.8 (c) 3\/2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6))\/(148\/(-444)). Solve 5*f + 8*y - 12*y + 29 = 0, -p*f - 4*y - 21 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186 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: Which is smaller: 1359645 or 1359646?\nAnswer: 1359645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12495780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -151*q. Let p(s) = 7*s**2. Calculate a(p(y)).\nAnswer: -1057*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12021 - 31331?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 25. Let h(f) = f - 1. Calculate c(b) + 4*h(b).\nAnswer: -b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 80*g - 246. Let b(u) = 42*u**2 + 640*u + 1967. Let d(m) = 3*b(m) + 25*x(m). Factor d(a).\nAnswer: (a - 83)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.917896 + 106680\nAnswer: 106679.082104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452034 and 1350.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 596.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 1. Suppose 3*f - 3*d = -0*f + 15, 2*f - 7 = d. Suppose -4*l + 7*l + 4*w = -10, -2*w - f = 3*l. What is the units digit of r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68529983609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/973 - -40\/139. What is the closest to u in -1\/3, -13, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4210 + 2*w - 2142 - 2141.\nAnswer: 2*w - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 1778?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(343) + 1 + sqrt(343) + 4 + sqrt(343) + sqrt(343) - sqrt(343))**2.\nAnswer: 210*sqrt(7) + 3110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322285, 643202, 964115, 1285024, 1605929?\nAnswer: 1926830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q, 4*q + 216 = 2*t + 2*t. Suppose -o + 10 = c - 3*o, 3*c - o - t = 0. Solve 5*f + 8 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/6)\/((76\/(-72))\/(-19)). Let c = o + 30. Differentiate -w + w - 14 + c*w - 6*w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-216)\/(-180))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 112. Let y be d(19). Let c = 919\/7 + y. Factor 4\/7 - 6\/7*g + c*g**2.\nAnswer: 2*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onooeeoeoooenooooeee. Give prob of sequence ooo.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 2*z + 2. Let k(l) = -6*l**2 - 5*l - 4. Calculate 2*k(f) + 5*r(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9388 + -5121. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = 0, 4*o - 5*m - 36 = -0*o. Suppose -14 = -5*y + 1, 0 = 5*f + 4*y - 72. What is the second derivative of -q**o - 59*q + 57*q + f*q**4 wrt q?\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.5 times 0.13081?\nAnswer: -3.989705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 58. Let q be s(26). Let l be (4 - -2) + (-5)\/((-15)\/q). Solve b = 5*g - 6, 2*g = 5*g + l*b - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 53139*z**3 - 18 - 53141*z**3.\nAnswer: -2*z**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/70426?\nAnswer: 5\/70426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9203 less than -9205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let d = s - -0.5. Let f = -40\/11 + 233\/55. Which is the closest to -2\/3? (a) d (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164 - (-160 + 101)) + 158.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 138, 203, 268?\n\"Answer: 65*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40794.\nAnswer: 2, 3, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 23 = -q, 0 = m - 2*q - 6. Let f be (-184)\/(-7) + m\/(-28). What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o + 3*o + 7*o**3 + 5*o wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 1393 = 2248. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x + 1. Suppose 3250*z = 3278*z - 84. Let l(v) = 2*v**3 - 6*v**2 + 4*v + 3. What is z*i(f) - l(f)?\nAnswer: -2*f**3 + 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + 464?\nAnswer: 462.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 100001111?\nAnswer: -100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4978*j + 20 = -4976*j - 4*v, -5*v = j + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 3461*p**2\/6 + 34922*p\/3 - 389872\/3.\nAnswer: -(p - 3481)*(p - 8)*(p + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/(2 + (-8)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5309*g**3 - 5035*g**3 + 1 - 5039*g**3 + 15350*g**3.\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -5. Let h(w) = -8*w + 2*w + 4*w + w - 10. Let n be h(-17). Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 2*u**2 - 4*u + 21. Suppose -5*v = -22 - 3. What is the remainder when q(v) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 9. Suppose 18 = k + f + 6, -5*k + 5*f + 10 = 0. Let q be (6\/7)\/(1\/k). Calculate the greatest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118575 and 1.887.\nAnswer: -223751.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Suppose s - 3 = -1, 4*l = -5*s + 18. Suppose -a - 1 = -l*a. Let f(r) = 1 - a - r - r. Give f(z(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*i - 42 = -0*m, i - 15 = 2*m. Let o(n) = 20*n**3 - n. Let q be o(1). Let s = m + q. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18. Let r = 51\/2 - 25. What is the second biggest value in -1, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66903\/(-116))\/((-6)\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 95 = -1167. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19634 is divided by 213?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503120 - 503120 + 69*f.\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683382*x - 104 + 104.\nAnswer: 683382*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 54*n - 6180 = -p, 4*n + 12 = 0. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -120\/11, 5 in decreasing order.\nAnswer: 5, -1\/3, -120\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-25))\/(((-10)\/8)\/((-44200)\/9724)).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440498 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4))**(-31)\/(a**(5\/2)*a**(-4)*a) assuming a is positive.\nAnswer: a**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86*5*1\/2. Let m = j - 49. Calculate the remainder when m is divided by ((-30705)\/(-552) - 28) + (-6)\/(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p + 0 - 7*p**2 + p**3 + 1\/120*p**6 - 1\/20*p**5 - 7\/24*p**4. What is the tens digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-3))\/((-40)\/(-15) - 3). Let k be (-1 - (-8)\/20) + (-28)\/n. Let -k*d**5 + 7*d**5 + d**5 + 0*d**5 + 3*d**4 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*v - 29. Let l be (-1)\/4 + v\/12. Solve 9 = l*k - 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -50331335\nAnswer: 2\/50331335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/60)\/(17\/(-5))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 108*d + 66150 = 8*d. Calculate the lowest common multiple of 55 and d.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ssccstttztszs?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297206009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 2*p - 1. Let y be q(-4). Let o(s) = 4*s**3 + 3*s**2 + s + 1. Let r be o(-3). Let x = r + 107. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*l = 7*l + 20, i + 2*l + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-39)\/182) + -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/276 and 149\/17710.\nAnswer: 106260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -3*z + 4*l - 21, -21 = 4*z - 3*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 43 + 57 - -5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {a: 15, i: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-389550)\/(-102025) - 1074\/22.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 375 - 167. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -46. Let w(s) = 2*s - 3. Let z be w(d). Let m(j) = j - 11. Let q be m(z). Solve 4*y - 20 = q, -4*f + 6*y - 31 = 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.2 - -10.8. Let a = c - 1.6. Let s = 12 - 13. Sort s, a, -4 in descending order.\nAnswer: s, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -3\/40*j**5 + 0 - 83*j - 15\/2*j**2 - 3\/4*j**3 + 3\/4*j**4. What is h in q(h) = 0?\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9810088ms to nanoseconds.\nAnswer: 981008.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2129 times -3\nAnswer: 6387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:41 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*k**5 + 675*k**4 + 16420*k**2 + 9090*k**3 + 10560*k + 2304.\nAnswer: (k + 24)**2*(3*k + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11282200 and -14.\nAnswer: 11282186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13742523 minus 0.03?\nAnswer: -13742523.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43454, 86936, 130424, 173912, 217394, 260864?\n\"Answer: -o**3 + 9*o**2 + 43462*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(320) - -2*(sqrt(320) + 0)) + (2*sqrt(2500))\/(sqrt(500)*2))**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(176)*1 + 1)**2 - ((sqrt(176)*-1)**2 + -3)) + -2*((sqrt(176)*5)**2 + -3)).\nAnswer: -52740 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2949102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2 + 0*n - 7339*n**3 + 2*n**2 + 7294*n**3 in the form s + w*n**2 + t*n + o*n**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-15)*(-10 + 13). Let p = 11 - 8. Suppose -p*r = r - 8. Solve 4*a + 1 + 15 = z*l, r*l = a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1519*f**3 + 51642*f**2 - 53301*f + 140 = 0?\nAnswer: -35, 4\/1519, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w**2 + 72*w - 27. Is 39 a factor of r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 0*n**3 + 3*n**3 + 3*n**2 in the form t*n + s*n**3 + m*n**2 + p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 52.267338717.\nAnswer: 51.767338717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 2*a - a - a**2)*(211 + 1 + 9)*(2*a + 0 + 0) in the form t + l*a**2 + z*a**3 + v*a and give z.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 57 - 7 - 17 + 7*w + 3*w + 7*w.\nAnswer: 2*w + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:50 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 42. Let n be f(0). Let l = n + 62. What is the lowest common multiple of l and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 + 48*y. Let l be t(-7). Calculate the highest common factor of 280 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-16) + (-5)\/40*-8. Suppose -9 = z - 3*n + 3, -4*z + 20 = 5*n. Let u be 1 + z + (-36)\/21. Which is the second biggest value? (a) u (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 61*y - 159. Let j be o(7). Solve -4*d + 6*d = -3*i + 17, -j = -5*i - 2*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4031 + 4033. What is the nearest to 17 in 0, p, 1\/3, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11699 + 15405 = 352*x for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/3 + 5 + 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17923696 and 2.\nAnswer: 17923696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -8*r + x - 336, 4*r - r + 133 = 3*x + 7 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 3, s: 1, o: 6, l: 5, e: 3}. What is prob of sequence iou?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*c + 20, o = -3*o + 4*c + 80. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55795.\nAnswer: 5, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 3*z, 0 = 5*z - a - 14 - 6. Suppose z*o = -17 + 789. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421*p**3 + 5*p + 27?\nAnswer: 2526*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4*q - 40, 10 = -0*q + 2*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**2 + 12*t**2 + 8*t**2.\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*r - 26, 4*t + 2 = 2*r - 3*r. Let m be (-8 - -5)*1\/(-1). Suppose -2 = 2*j, -m*q + 2*j + 23 = r*j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 34. Suppose 0 = -47*s + 65*s. Suppose 9*g - 6*g - i = s. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c + t - 1, 4*c - 14 = 5*t. Does 6 divide -1 + 42 - (4 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125539 is divided by 62767.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22003133 (base 5) to base 6.\nAnswer: 4005554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 times 11.7767?\nAnswer: -12.836603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-48)\/18)*2\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 43*c**2 - 6*c + 67. What is the units digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -278*a**3 - 4*a**2 - 13*a - 7. Calculate o(-1).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/4 - i**3\/4 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2, -3\/2, 5\/4, 20802?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50004 is divided by 385.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12808, -25398, -37988, -50578?\n\"Answer: -12590*o - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11055 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - s - 3 - 4, 3*r - s = 15. Suppose -4*w = -r*b + b, -3*w = 5*b. Suppose -4*k + b*k = -1172. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -34*i**2 + 9*i + 45*i**2 + i**3 + 1 - 5. Suppose k = -3*f + 14 + 21, 0 = f + 3*k - 17. Calculate the remainder when f is divided by c(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 1, c: 2, d: 1, t: 1, g: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*z**3 + 70*z**2 + 120*z**3 + 6*z**2 - 246*z**3 + 3*z**2.\nAnswer: -318*z**3 + 79*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * 0.583.\nAnswer: -0.8162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Let z = -34428 + 34431. Solve g = 2*s + z*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2865)\/(-3247))\/(65\/26*9\/15).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -4, -3, 1\/58, -0.4, 0.039, -0.14?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/24*22 + 3\/9. Suppose 4*q = 5*g - 119, 0*q + 4*q - 2*g + 110 = 0. What is the third biggest value in 0.1, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 153\/(-135) - (-1)\/(-5). Is j less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 3, f: 4}. What is prob of sequence qfk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 26 - 664. Suppose 10*u + l = 638. Find the common denominator of u and (-4)\/(-6) - (-100)\/66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 - 1. Suppose q + 6 = 5*j, j + u*q - 11 = 7. Let n = -4 + 6. Solve -4*w = -j*r + 14, -2*w + n*r - 7*r = -23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 6*x - 5. Let g be l(5). Suppose -8*c + 10 + 6 = g. Solve -c*s = 12 - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/80 + 856\/(-10). Let q = -616 - -529. Is y at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 10. Let p(d) = -d**3 + 12*d**2 + 17*d + 12. Let q be p(13). Suppose 0*b + q = 8*b. Does 4 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 14 + 20. Solve u + m = 4*i, 2*u - 5*u - 30 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(275)*2 - sqrt(275)) + -3 + 5*(sqrt(275)*-3 + sqrt(275))*-3)**2 + -2.\nAnswer: -750*sqrt(11) + 171882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94985.\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54706, 54045, 53384, 52723?\n\"Answer: -661*k + 55367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 + (-235)\/(-20). Suppose i = 2*i + 3, -5*i = 2*n + z. Solve 4*j - 5 = 5*p + 5*j, -3*j + 11 = n*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 61 (b) 0.3 (c) 98 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7874 divided by 1.\nAnswer: -7874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 18. Let c(i) = -78*i - 222. Let h be c(-3). Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = d + 24, 19 - 15 = -4*a. Let n = 56 + d. What is the smallest common multiple of n and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*i**2 + 230*i**2 + 229*i**2 in the form h*i + w*i**2 + q and give w.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326322.168 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u = -8*u + 116*u - 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*f - 15*f - 30, 0 = -3*n + 5*f + 10242. Calculate the least common multiple of n and 28.\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 21, 3\/2, 1\/10, 20.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 45?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 at least as big as 7468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 24 = -2*k. Let c be k\/(-33) - 20\/(-11). Solve 3*t - 5*n - 2 = 1, 4*t + 22 = -c*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38217.\nAnswer: 3, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 198 = -5*g, 180 = 4*g - 0*g - 4*z. Suppose j + g = 3*j. Let k = 30 - j. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 22\/2 + (-2)\/5*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*b + 7*b. Let n(q) = -11646*q - 11647*q + 6 + q**2 + 23298*q. Calculate n(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0) + 2\/8. Let i = -3 + 30. Let f = i - 27. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -59, -53, -45?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (38\/(-95))\/(1\/15). Which is smaller: -28\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(133 + 39). Solve -106*b + x*b = 140 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {c: 1, y: 2, z: 1, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 12:16 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, s: 13}. Give prob of sequence eses.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*h - 0 + 7, h - 19 = -3*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f, -4*u + 15*f + 21 = 12*f. Suppose 0 = x - 4*i + 13, -3*x + 5 = -u*i + 2*i. Solve 2*z = -x*w + 1 - 3, 5*z - 8 = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079508929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 16*b - 13, -81936*b - 25 = 3*z - 4*z - 81931*b for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 8*h + 21. Let q be n(9). Let r(s) = 2*s - 12. Calculate the lowest common multiple of 9 and r(q).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984912083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-15\/4)*p**(-8\/7))\/(p**(-10))**(5\/11) assuming p is positive.\nAnswer: p**(201\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.4, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 122*x + 100*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 + 133 - 261 - 35*n in the form l + g*n and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81816 is divided by 81807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5 + d**4 - 6885*d - 67*d**3 - 652*d - 4*d**2 - 5*d**4 + 4*d**4 wrt d.\nAnswer: 40*d**3 - 402*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29953 + 34210. Does 129 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.7 + -24.7. Let z = -91 + 96. What is the fourth smallest value in z, 0.06, -3, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 8*d + 30 = -7*d, 0 = -n + 4*d + 10. Solve -8 = 2*t - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 11. Let a(o) = 15*o + 46. Let j(n) = -2*a(n) - 9*h(n). Calculate j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:28 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:28 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, s: 2, p: 2, f: 2}. What is prob of picking 1 p and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010264806 rounded to 6 dps?\nAnswer: 0.001026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -22, -42, -78, -136?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 405*p + 817. Let x be t(-2). Calculate the greatest common factor of x and 10787.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -7)\/(1*(30\/155)\/6). Which is greater: c or -51?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 6456300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 7. Let b(t) = -27*t + 27. Let n(l) = 4*b(l) - 15*d(l). Let f be n(3). Let o(h) = 1 - h - 6 + 7. Determine o(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k + 3. Let a be q(3). Let u(g) = -2*g. Let d be u(-5). Let z = d - a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4.1. Let k = -25 + 12. Let o = k - -12.98. What is the second biggest value in -3\/2, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**3 + 6814*o**2 + o*x + 395*x + 11 wrt o?\nAnswer: 3*o**2 + 13628*o + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523396 is divided by 232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 4*m - 48, 8641*k + 16 = 8638*k - 3*m + 7*m for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 2*i - 736. Suppose -j = j + 190. Let o = j - i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415.998m to millimeters.\nAnswer: 415998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (4 - (4 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2608300 rounded to the nearest ten thousand?\nAnswer: -2610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63326 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 3*y + 363. Let m(f) = 11*f + 171. Give m(v(o)).\nAnswer: -44*o**2 - 33*o + 4164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -0.19. Let d = -39.4 + 40.4. What is the closest to r in 0.1, 0.4, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 2*p + 2. Let y(w) = 3*w**2 + w - 2. Let m = 4 - 0. Suppose -n - 564 = -j - 552, 4*j + 1 = -3*n. Determine j*y(k) + m*l(k).\nAnswer: -k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*b**3 - 68*b**3 + 10*b**3)*(6 - 4 - 3).\nAnswer: 129*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 15*b - 1202. Let j be a(-43). Solve -4*n = -j*i - 0*n + 12, 0 = -4*i - n - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17493 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 155*r = -111797 + 590129. Sort 0.3, -0.3, r.\nAnswer: -0.3, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 0.6. Let h = 1.36 + 0.04. Let q = -1.6 + h. What is the smallest value in q, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111797 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44518366 is divided by 3241.\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 5*d**3 + 3*d**3 - 4*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -0.908. Let v = b - 0.092. Sort v, -4, -0.5.\nAnswer: -4, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105104771.\nAnswer: 41, 43, 59617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56.2? (a) -31 (b) 3 (c) -1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 24*a**2 + 38\/3*a**3 - 24*a - 8\/3*a**4 = 0.\nAnswer: -2, 0, 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*k = -9, 3*x + 3*k + 11 = -4. Calculate the remainder when 35 is divided by (-4)\/(-20) - -118*x\/(-30).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 + 2*t**3\/3 - 4*t**2. Let n be b(7). Let w(d) = d + 3. Let u be w(n). Solve u = -0*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 0*x - 2*x. Let u(s) = -2*s + 4*s + 2*s - 6*s. What is u(k(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3446, -3416, -3382, -3344?\n\"Answer: 2*x**2 + 24*x - 3472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93083, -93075, -93067?\n\"Answer: 8*c - 93091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970807 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1064 = -2*s, 0*s + 5*p = 3*s + 1640. Let l = -367 - s. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0 + 0)*(-376 + 5844*d**2 - 354 + 730) to k*d**3 + z*d**2 + o + i*d and give k.\nAnswer: -5844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 + 6. Let x be u(-7). Suppose -9*g + 258 = -x*g. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 44*f - 20*f - 28 - 2*f**2 - 26*f as o*f + l*f**4 + h*f**3 + j + x*f**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 41*s**2 - 60*s - 160. Is 10 a factor of j(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -325? (a) -1\/6 (b) -3 (c) -29 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -33, 0 in decreasing order.\nAnswer: 10, 0, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 74*a + 47. Calculate the remainder when q(-30) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (32 - (-16 - (-26 + 20)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*k - 8. Suppose u + 5 = k. Let x be u\/(-5) - ((-5 - -9) + -5). What is the third biggest value in -2\/7, -1\/5, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.8 - -13.8. Is r at least as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let l be ((-42)\/12 - -4) + 2\/4. Sort 3, l, d in increasing order.\nAnswer: d, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8, 2*u - 5*y - 32 + 4 = 0. Solve 0 = j, 3*b + 4*j = 2*b - u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3522)\/1174)\/((-9)\/(-237)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4254364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18\/19 - 497\/57. What is the common denominator of -17\/4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-9)\/(-72)*8.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67 - 45) + 5 + -70 + -7.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 17, 436 in decreasing order.\nAnswer: 436, 17, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24\/5 (b) 3 (c) 282 (d) -3 (e) 1\/6 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (47 - (-88 + 128)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 225\/11 and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -100*z**5 + 380*z**4 - 456*z**3 + 208*z**2 - 32*z = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 14\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171091 + 249860. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9\/5)\/(v*v\/(v**(-11\/3)\/v)*v))\/(v**24\/(v\/(v*v**(15\/8)*v))) assuming v is positive.\nAnswer: v**(-4361\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**1\/r)*r)\/r**(-1\/7)*r**(-2\/7)*r**7)**5)**(-1\/20) assuming r is positive.\nAnswer: r**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 17697?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -26. Let c(x) be the first derivative of -3 + 2\/3*x**3 + 0*x**2 + w*x. Let v(m) = -4*m**2. Give c(v(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3 + 2*a**4 - 4*a**3 - 7*a**4 + 5*a wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 30. Which is smaller: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28152 or -18?\nAnswer: -28152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.28, 68, 3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 12, u: 1}. Give prob of sequence nm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.7 + 175.3. Let i = -224 + d. Let r = -10 + 8.7. Does i = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*y**3 + 6*y**2 - 3*y - 141 wrt y.\nAnswer: 36*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - n = -23, 50 - 35 = o - 5*n. Solve -13 = 3*z + 2*g - 4, 10 = z + o*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - (-32240)\/125580. Which is the closest to 0.1? (a) j (b) 0.1 (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65520 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*n - 6 + 11 + 2 + 2.\nAnswer: -494*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -6*s**5\/7 - 148*s**4\/7 - 114*s**3 - 1464*s**2\/7 - 1096*s\/7 - 288\/7 = 0.\nAnswer: -18, -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*s - 5 = 2*v, 2*v - 3*s - 10 = 0. Suppose -v*r - 36 = 2*g - 3, -r - 13 = 2*g. Put 2, -2, 4, r in increasing order.\nAnswer: r, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4600\/(-552) - (-8 - (0 + 1)). Which is the second biggest value? (a) 2\/1385 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:12 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5845.\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -121363 divided by 2057\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.085 - 0.827. Let t = -0.258 + d. Which is smaller: 237 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169811.\nAnswer: 47, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289 + -271. Let m = -236 - -608. Suppose m = -n + 5*n - 3*s, 3*n - s - 274 = 0. Calculate the greatest common factor of d and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -4\/5, -0.16, -0.9 in decreasing order.\nAnswer: -0.16, -4\/5, -0.9, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 20 + 5, -y = -4*i - 15668. Let f = 27662 - y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -1.09 (b) -3 (c) -0.37 (d) 4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -0.5, -0.05065, 2\/7, 0.09, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 - 1. Let w be ((-2)\/(-4))\/(11\/132). Suppose -x = -q - 2, -w*q + q = 3*x + 2. Let m be s(q). Solve 3 + 1 = -3*l + v, v = m*l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*l**2 - 268*l**2 - 868*l**2 - 747*l**2 - 2*l to r*l**2 + t*l + u and give r.\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11051678.1 minus 0.037552?\nAnswer: 11051678.062448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 29. Let y(q) = q - 10. Let m(u) = -2*k(u) - 7*y(u). What is the first derivative of m(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 775*t**5 + 394*t**2 - 1 wrt t.\nAnswer: 46500*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 19301*t**2 - 55*t + 107. Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 14, -40532?\nAnswer: -40532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**29*i*i*((i*i*(i*i\/(((i\/(i\/i**(-8\/7)))\/i)\/i))\/i)\/i*i)\/i)\/(i**(-34)\/((i\/i**(-42))\/i*i)) assuming i is positive.\nAnswer: i**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 219*s - 1354. Calculate z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/4 + 51537*p**3\/4 - 464196*p**2 - 2011387*p - 2062920 = 0.\nAnswer: -51573, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millimeter in micrometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from cbbbccbbbbbbbbbcbbb.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 20*v - 2. Calculate the remainder when 111 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.1, -4669.2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -708 + 686. Sort n, 2\/9, -2\/5 in increasing order.\nAnswer: n, -2\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 3, s: 1, k: 1, p: 5, w: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720) + 0 - (sqrt(720) + sqrt(720) + 1 + sqrt(720) + 4))**2.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 36 = 4*q, f - 4*q + 13 = 2. Suppose -4*p + 12 = s - 0*p, -f*s = -5*p - 110. Suppose -9 = 2*k - 409. What is the highest common factor of k and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let t = -4.6 - d. Let m = -0.9 - t. Which is the third biggest value? (a) 2\/23 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126.82 - 14.18. Which is the biggest value? (a) 3 (b) z (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 28. Let j(y) = -7*y + 30. Calculate 3*j(b) + 4*v(b).\nAnswer: 3*b - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 1.7. Let s = z - -1.5. Which is the biggest value? (a) -2 (b) -2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20757, -20690, -20623, -20556, -20489?\n\"Answer: 67*g - 20824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let t(b) = 7*b**2 + 4. Let l(o) = 27*o**2 + 15. Let a(w) = u*l(w) - 15*t(w). Let p(r) = 2*r - r - 654 + 654. Determine a(p(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.612 and -0.962.\nAnswer: -1.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.84013 tonnes in micrograms?\nAnswer: 26840130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1. Let f(d) = d**3 - d**2 + d + 1. Suppose -4*l = -4*k - 24, 5*l = -5*k + 7 + 13. Determine k*f(u) + v(u).\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 3*y**2 - 3*y**2 + 4*y)*(-y + 3*y - 3*y).\nAnswer: y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 89?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37 + 9 + -4 + -2. Let p be g\/22 + (-16)\/(-88). Factor 28*t**p - 5*t - 5*t**5 - 23*t**3 + 20*t**4 - 8*t**2 - 7*t**3.\nAnswer: -5*t*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3098267 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*n**3*o**2 + 2*n**3*o + 3930236*n*o - 17213*o**4 wrt o.\nAnswer: -238*n**3 - 206556*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 14*l + 2 + 5*l to u + i*l and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.5 in 1, -0.5, 6\/19, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuu when three letters picked without replacement from {u: 11, w: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*a - 52, m = 5*m - 5*a - 57. Calculate the highest common divisor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2151.5532 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 = -3*s - s, -45 = -5*s + 5*h. Let d(u) = 5*u**2 - 3*u - 3. Is d(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 4*k**2 + 11*k + 1. Let y(f) = f**3 + 5*f**2 + 10*f + 2. Let q(t) = 2*g(t) - 3*y(t). Let x be q(8). Sort 1, -1, x in decreasing order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 - 2*u. Let o be c(-3). Suppose -5*s + 56 = w - o, 5*w = 5*s + 370. Suppose x + x = w. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 15562233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35143?\nAnswer: 113, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 13 + 16)*(-8*z**2 + 8*z**2 + 2*z**3).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 165 = -5*v, 4*v + 4*i = 107 + 17. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 103. Let f = 64 + s. Let q(w) = -4*w - 1. Let g(u) = -9*u - 3. Calculate f*g(a) + 7*q(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**2 + 312*z + 1603. Give t(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297915 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6724178 and 119012?\nAnswer: 13448356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*f - 66, -2*f + 5*g = -0*g - 70. Let s be (-2)\/((-3)\/(1068\/8)). Suppose -4*v + s = -11. Calculate the greatest common divisor of v and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n - 5. Let z(i) = -9*i - 4. Calculate -2*c(p) + 3*z(p).\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 13*f = 61555. Suppose 0 = 21*m - 6857 - f. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/(-6)*2072\/444?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u - 2*u + 2)*(4*u - 16*u + 7*u).\nAnswer: 5*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.6+-1777.086\nAnswer: -1781.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14793?\nAnswer: 3, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * 0.032.\nAnswer: 0.01504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562077171 divided by 33063363.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 3. Let z(c) = 6*c**2 + 2. Let r(a) = a**2. Calculate d*z(t) - 5*r(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -5104431?\nAnswer: 5104432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101992910.\nAnswer: 2, 5, 10199291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1770 and -139\/18.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 8. Let n(s) = -1. Let p(u) = -8*n(u) + t(u). Let z(v) = 5445 - 5445 - v**2. Determine z(p(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156491063.\nAnswer: 1039, 150617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288.33 - 288.76207. Round q to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-39)\/(-30))\/(((-169)\/9126)\/(4\/(-36)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-30)\/12)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 0.7. Which is the nearest to 0.1? (a) -0.4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-1\/4)*y))\/((y*y*y**(3\/2)*y)\/y)*(y*y**(-4)\/y)\/((y*y**4)\/y))\/((y\/(((y*y**(-1\/3))\/y)\/y))**(7\/11))**(-2\/11) assuming y is positive.\nAnswer: y**(-17395\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 - -40?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2414534118 + -901.\nAnswer: 2414533217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697, 3015, 7443, 14473, 24597?\nAnswer: 38307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -16. Let h(x) = -x**3 - 9*x**2 - 9*x - 1. Let t be h(v). Let j = 5 - t. Put j, -0.2, 3 in descending order.\nAnswer: 3, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2371 + -2358. Solve 6*k + v = 9*k + 4*d, 5*k - 7 = -3*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 303 + 1784.\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -66*z - 141 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(6*r**4 + 118*r**4 + 43*r**4) + 18*r**4 - 9*r**4 + 8*r**4.\nAnswer: -317*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqr. What is prob of sequence rqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.136317 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4689678 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/4)\/((-9555)\/(-16380)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmcxxmmgxhxxgmhxg. What is prob of picking 2 m, 1 g, and 1 h?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + l - 1. Let v be z(-2). Suppose -v*x = r - 3*r - 4, r + x - 5 = 0. Let c(o) = -4 - 2*o + 1 + r. Let j(u) = -6*u**2. What is c(j(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891253.6 centuries to decades.\nAnswer: 8912536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 - 110*r**4 - 3*r**3 - 5745*r**2 wrt r.\nAnswer: -240*r**3 - 2640*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11236?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 14*x**2. Let q be l(-14). Suppose -3*p - 2*p + 2*z + 30 = q, -4*p + 17 = -3*z. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4394573\/13699387 + 246\/767. Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 108*k**2 - 2. Let m(t) = -37*t**2 + t + 14*t**2 - t + 22*t**2. Determine a(m(x)).\nAnswer: 108*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h - 6. Let j = 6 - 3. Suppose j*x = -0*x - 21. Let g be -3 - (1 - 1) - 3. Let v(t) = 8*t + 7. Calculate g*v(w) + x*a(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993597 at most 1993597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -897*a**2 - 4. Let c(i) = 898*i**2 - i + 7. Determine -2*c(t) - 3*r(t).\nAnswer: 895*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - (35 + -29 + -62)) + (-17 - -1) + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -55. Let z = 2763 - 2361. Suppose 7*m = -w + z. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Differentiate 0*q**2 - 3*q**2 + o*q**2 + 1 + q**4 with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 239 and 5.\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/6 - 521*h. Let g(n) = 1679*n**2. Determine s(g(v)).\nAnswer: 5638082*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -13 + -5 + 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-2436)\/(-87).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from {k: 9, v: 3, z: 4}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from eeeepehkekeeehee?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16939325 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 2. Let g be v(-2). Let o = g - -4. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 16. Calculate x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/2*g**3 - g**2 - 1\/6*g**4 - 1\/40*g**6 - 1\/60*g**5 + 0*g + 0. Is x(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**2\/2 - 459*w\/2 - 93.\nAnswer: 3*(w - 31)*(5*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 1935*v + 484 = 0 for v.\nAnswer: -484, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 3\/4, 10\/9, -17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31440324 (base 5) in base 9?\nAnswer: -443563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 191 + 35 = 0. Let c = -26 + 45. Calculate the remainder when y is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5220551 (base 6) to base 11.\nAnswer: 16206a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*g - 3 = -6*f, -2*f = -3*g - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-2\/15))**(-45) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/3 (c) -4\/31 (d) 116\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/170910 and 151\/3657474.\nAnswer: 18287370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -844.363 - -1240.18. Let r = -395 + z. What is r rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let t(u) = -3 + 117*u**2 + 4 - 1. What is t(g(h))?\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = 60. Let v be (-6)\/(-14) + g\/(-28). Suppose 0*x - 2*x = v. Which is smaller: -1\/13 or x?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5411033*r**3 - 6329*r - 535 wrt r?\nAnswer: -32466198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i**3\/7 + 298*i**2 - 8478*i\/7 - 3060\/7 = 0. Calculate i.\nAnswer: -1\/3, 51\/10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -16526069.536025?\nAnswer: 16526066.536025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*(30\/(-4))\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-2))\/((-19)\/(-19)). Suppose -d*x + 9 = 39. Let o(r) = -3*r - 9. Let v be o(x). Calculate the greatest common factor of v and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -17554729000.\nAnswer: -17554729011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048900464 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 1502 = 828. List the prime factors of s.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) - (-3)\/108. Let d = -77 - -74. What is the second smallest value in 1, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.152 from -0.0420653.\nAnswer: -0.1940653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let r be 1\/(-1*(-2)\/34). Let g be k\/r*(-3)\/3. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3266 not equal to -3266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2)\/(-4)*10. Let x be b\/(-10) - 18\/4. What are the prime factors of (x\/(-3) + 2)*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526735.085 rounded to the nearest one hundred?\nAnswer: 526700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 7)\/(13\/15 - 1). Is -100\/7 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(-9*g + 2*g + g) + 0*g**2 + 2*g**2 - g**2 + (-2*g + 3*g - 2*g)*(-g + 0*g - g) + 0 + g**2 + 0 + 0*g**2 - 3*g + 12*g + 2*g**2.\nAnswer: 18*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*o + 61*o**5 - 37*o + 23*o**5 wrt o?\nAnswer: 1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 4*v - 4. Let p be ((-14)\/21)\/(4\/(-54)). Let h be (-6)\/p - 14\/(-3). Let r be z(h). What is the highest common factor of r and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 - s - 1. Let d = -57 - -37. Let f = d + 41. Calculate the remainder when f is divided by x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnt when four letters picked without replacement from {n: 4, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, k: 1, p: 5, j: 2, w: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 + -3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33, -3, 3\/8, 0.24 in descending order.\nAnswer: 4, 3\/8, 0.24, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 622\/5 - 2\/5. Let l = d + -37. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*f - 15. Suppose -f - 13 = 2*k. Let l be (-500005)\/k - (-2)\/(-4). What is l rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8691\/2 or 4346?\nAnswer: 8691\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*p + 127*p + 12*p + 15.\nAnswer: 246*p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*64\/24. Suppose -3*r + w*a + 32 = 0, 4*a - a + 4 = r. Solve 4*d - r = 0, -d = -2*o + d - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855*m = -854*m - 83. What is the remainder when m is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9736*h**2. Let v(p) = 2*p**2. Calculate t(v(f)).\nAnswer: 38944*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 69*t**2 + 28*t**2 - 6 + 2 in the form d + f*t**2 + h*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 14*y**2 + 2*y - 32. Let g be j(14). Is g at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043*0.683.\nAnswer: -0.029369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a**2*v**6 - 43*a**2 - a*v**2 - v**6 wrt v.\nAnswer: 1800*a**2*v**3 - 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.42, 0, 4, -11 in ascending order.\nAnswer: -11, 0, 1.42, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -9*z**5\/20 + z**4\/12 - z**3\/6 + z**2\/2 + 92*z. Let d = 30 - 29. Calculate y(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -49*a**4\/2 + 203*a**3 - 226*a**2 + 37*a + 21\/2 = 0.\nAnswer: -1\/7, 3\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17274 + -17271. What is the nearest to -0.27 in 2\/17, x, -26\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 6*p + 19. Let l be r(-6). Suppose -l*z = -23*z + 40. Is 10 a factor of (12\/10)\/(z\/850)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/384 and 99\/64.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, i: 3, x: 1, o: 4, z: 4}. Give prob of picking 3 i and 1 o.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001000011111001110 + 0?\nAnswer: 100100001000011111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g**3 + 12*g**3 - 5*g + 54*g**3 - 62*g**3 + 10*g**3 + 9*g.\nAnswer: 64*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 - 2*h**2 - 2*h - 8. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*m = 14, 3*q - 29 = 2*m + 3*m. Let s(b) = 6*b + q + 3*b - 4*b - 4*b. Give s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -405*i**2 - 1711*i + 4314. Calculate w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214927 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16834, 16835, 16836, 16837, 16838, 16839?\n\"Answer: b + 16833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-27)\/(-15))*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1627764\/7 or 0.1?\nAnswer: -1627764\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441329*t**2 - 25950*t.\nAnswer: -882658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/189*((-42)\/4)\/3 + 6.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 5\/(-2))*8. Suppose -51 = -t*g + 29. Calculate the smallest common multiple of g and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229131139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301.3 + 301. Let g = 2.8 + -3. Let q be 5*-1*(-2 - -1). Which is the second biggest value? (a) g (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125, -692, -1679, -3086?\n\"Answer: -210*f**2 + 63*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from kkniyiipiiipiiippii.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o**2 + 9*o + 216. Let g(j) = -2*j**2 - 2*j + 1. Give -c(r) - 6*g(r).\nAnswer: -2*r**2 + 3*r - 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 104454204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or -999?\nAnswer: -999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 31. Let l be g(-7). Solve l + 5 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 4*x)*(-6 + 727*x + 1 - 703*x).\nAnswer: 48*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, c: 2, p: 6, y: 3, g: 2}. What is prob of sequence gy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - r**2 + 2*r**3 + 29*r - 29*r.\nAnswer: 2*r**3 - r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724270, -724268, -724264, -724258?\nAnswer: -724250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 14) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108, -105, -100, -93, -84, -73, -60?\n\"Answer: f**2 - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*y + 29. Let k(i) = i**2 + 4*i + 4. What is k(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000100100 (base 2) to base 12.\nAnswer: -1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 15*d**2 - 4*d**2 + 5 wrt d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8275 (base 13) to base 12\nAnswer: a50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 264, 686, 1110, 1536?\n\"Answer: a**2 + 419*a - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-5) - 3)\/(-9 + 407\/55)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by (-2)\/(-3*(-1)\/(-87))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*((sqrt(405)\/(sqrt(9) + -6*sqrt(45)\/sqrt(5)))\/(sqrt(1089)*1*4 + sqrt(1089)))**2.\nAnswer: 12\/15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:53 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r + 70. Let t(c) = 2*c**2 - 306*c - 4320. Let j be t(-13). Calculate i(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*2*189\/((-24003)\/(-635)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.6637 + 0.8123. Round a to one decimal place.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-210)\/(-27) - 8\/(-36). Let s be (2\/(-36))\/((-2)\/j). Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/222 and -70\/111.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/10 + 318597*b**3\/5 + 3185953*b**2\/10 + 2548758*b\/5 + 1274378\/5 = 0.\nAnswer: -637189, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12 + 8)\/(2\/4) - -4 - -7923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 7*k**6\/120 - k**4\/6 - k**3 + 4809*k**2. Let u(o) = 6*o**3 - 5*o - 7. What is 5*p(g) - 4*u(g)?\nAnswer: 11*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*k**6 - 6*k**2 - 3*k**2 + 4*k**2 - 6*k**2 wrt k.\nAnswer: -1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:20 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 16. What is f(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6487*g - 12988*g + 6490*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + q - 3. Let f = 262 - 263. Let x(z) = -1. What is f*b(o) + 4*x(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - -67. Suppose -8*a + 12*a - t = 0. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156836*l**2*u**5 - 4*l**2*u + 14*l*u**5 + l*u - 44*l + 1519 wrt u?\nAnswer: 3136720*l**2*u**3 + 280*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 14*a**2 - 16*a - 14. Let f be w(-13). Suppose 2*i + 7 = f. Let h(s) = 6*s. Let v be h(6). What is the highest common divisor of v and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8016006.026 + 325.\nAnswer: 8016331.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:23 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let g(c) = 17*c**2 - 2*c + 11. Let y(w) = g(w) - 6*k(w). Let o(z) = -6*z**2 + 3*z - 2. Determine 8*o(f) + 3*y(f).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:41 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 3*m**2 - 3*m - 8. Let r(k) be the second derivative of -11*k**5\/20 + 2*k**4\/3 - 4*k**3\/3 - 12*k**2 - 4*k - 6. Calculate -8*f(o) + 3*r(o).\nAnswer: -o**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1333 = -3*g + y + 3*y, -g + y = -444. Let m = 654 - g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + l. Let y be n(-2). Let g(a) be the second derivative of -3\/2*a**3 + 0 - 4*a + 9\/2*a**2 + 1\/12*a**4. What is g(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 2*b**2 + 2*b. Let i be m(-2). Suppose -5*a - i = -3*a. Let p = a + 13. Solve -1 = -p*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 27*t**2 - 1 - 1 - 14*t**2.\nAnswer: -34*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 12258964343823?\nAnswer: 12258964343822.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*s**3*w**2 + 7*s**3*w - 167*s**3 + 149*s*w - 15*s + 53 wrt w?\nAnswer: 116*s**3*w + 7*s**3 + 149*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(2\/3))))\/((v\/(v**(1\/40)*v*v))\/v))\/(v**(3\/5)\/v**18) assuming v is positive.\nAnswer: v**(2531\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87183371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1421*q + 147777. Determine p(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*x = 460, i + 3*i - 3*x = 920. List the prime factors of i.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -146, -371, -684, -1085?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 70256905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -11.01.\nAnswer: -14.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = l, 4 = -3*l + 4*o - 12. Suppose 8*r - 38 - 26 = l. Let y(w) = 7*w - 14. Let j(f) = f - 1. Let x(u) = -6*j(u) + y(u). Determine x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23599650 and 64854.\nAnswer: 7206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/24 - g**5\/12 + 5*g**4\/24 + 5*g**3\/6 - 11*g**2. Determine r, given that a(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 13. Suppose -b + 3*b = -s. Let t(d) = 3*d**3 - 6*d**2 + 2. Let f(i) = i**2 - 1. Calculate b*f(c) - t(c).\nAnswer: -3*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 7. Let b be o(-9). Let f be (0 + -1 - b) + 1. Suppose -120 = -2*u - f*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24189 divided by -2199\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -235, -3, 0, -150, 7 in descending order.\nAnswer: 7, 0, -3, -150, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - 26*k - 10*k)*(14*k**2 - 190 - 187 + 27*k**2 + 373) in the form o*k**3 + s + b*k**2 + w*k and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13\/6, 3.9, -13\/2, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 13*o = -60. Suppose 6*d + 0*d = o. Suppose -4*t - d*v + 16 = 0, 2*t + 32 = 4*t - 5*v. Solve t = -3*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + 5*d**2 + 35*d - 167. Calculate f(6).\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1442 * 185\nAnswer: 266770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -18. Let g be (-3 + s)\/4*-1. Let o(w) = -w - 6 - 5 - 2 + w**g. What is o(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 r when three letters picked without replacement from {s: 3, p: 1, r: 2, u: 1, v: 5}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 509 divided by 239\nAnswer: 509\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36978 + -36978.056162. Let g = 0.0557 + a. What is g rounded to five dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**4*m)*m**(6\/5)*m**(4\/11)\/m**(5\/4))**(-2) assuming m is positive.\nAnswer: m**(811\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -20. Suppose 0 = -k - 2*a + 17, -i*a = 2*k + k - 57. What is the units digit of 2\/6*(k - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:42 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**2 - v**2 - 2*v**2)*(-2 + 2*v**2 + 2) - 2*v - 6*v**4 + 8*v**4 + 2*v**2 - 3*v**2 to the form h + r*v + l*v**4 + i*v**2 + m*v**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1262, 1260, 1258, 1256, 1254?\n\"Answer: -2*g + 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170850 and 1481550.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 1285*c**3 + 2*c**2 + 3 - c**2.\nAnswer: 1285*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -132*t + 1190. Calculate s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.396 + -35.404. Let p = -35.5 - i. Which is the nearest to 56? (a) p (b) -0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/21*(-24)\/(-12).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/24 + 11*s**3\/6 - 20*s**2 + s. Give b(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 + 6*p**2 - 5*p + 6. Let z(q) = 9*q**3 + 13*q**2 - 11*q + 13. Let i(g) = 13*n(g) - 6*z(g). Find the second derivative of i(o) wrt o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1015*d + 1019*d + 2*i, -64 = 4*d - 6*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 763281439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*(1 + -5). Let d(t) = t - 6. Let f be d(r). Solve o - 6 = 5*l, f*l + 0*o - 2*o = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}