diff --git "a/data/dm_maths/full_data_1/1771_11255.jsonl" "b/data/dm_maths/full_data_1/1771_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1771_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(b) = 3*b**2 + 5*b + 2. Let g be w(-3). Let q = 11 - 7. Suppose 18 + 9 = 5*c - 3*y, 3*c - g = q*y. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3556, -6646, -9276, -11446?\nAnswer: -13156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10143550 to the nearest 100000.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 56 = -11*w + 186. Solve 2*a - 18 = 4*f, 0 = 3*a - a - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 - 1 = -5*x. Solve 2*o = 3*q - 16, -2*q + 3*o = 2*q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031853895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141055 or -141057?\nAnswer: -141055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14640 - 8717. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 - -3)*2)\/(-2). Let r be -5*(-12)\/60 - 5. Sort r, i, -10 in descending order.\nAnswer: i, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u + 41. Let s be y(3). What is the third derivative of -43 - 37 - 36 + s - 62*x**3 + 203*x**2 wrt x?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 276*d + 864.\nAnswer: -4*(d - 72)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16801 + -7901. Round j to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2\/(-9) + (-225)\/81 - -47?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-96)*(-12)\/14\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 673421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + u. Let a(z) be the third derivative of z**5\/30 + 25*z**4\/24 - 2283*z**2. Determine a(t) + 4*m(t).\nAnswer: -2*t**2 + 29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -16, 6 in ascending order.\nAnswer: -19, -16, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -0*q. Suppose q = 5*n - 17 - 13. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-8)\/(-4) - 24. Let h be 2\/8 - (-65)\/y. Let l(w) = -7*w - 1. Calculate the lowest common multiple of l(h) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -388 - -1962\/5. Suppose 0 = -2*b - g - 322, -646 = 4*b + 2*g + g. Let z = b - -1466\/9. What is the common denominator of u and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8 + 16. Let w(u) = -10*u - 2. Calculate w(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - q**4\/6 + q**3\/3 + q**2. Let l = 0 - 3. Let o = l + -2. Calculate x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 49*r = -2*d + 81*r + 36 + 21, 0 = 16*d - 5*r - 95 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 3. Let c(b) = 6*b - 3. Let p(q) = 5*c(q) + 6*z(q). Let n(d) = 7*d - 3. Let s(j) = 2*n(j) + 3*p(j). Suppose 0 = 7*x - 9*x + 4. Give s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01781 + 472.91781. What is c rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4\/8 - 84591*l**3\/8 - 253719*l**2\/4 = 0. Calculate l.\nAnswer: -28191, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287930694?\nAnswer: 2, 3, 109, 440261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 1. Let h(v) = -v**2 - 3*v + 16. Let t be h(4). Let j be (8\/6 + -2)\/(t\/306). Suppose j*b - 103 + 35 = 0. Calculate l(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + d + 26, -4*d = -3*u + 7*u - 40. Suppose 0 = 12*a - u*a - 33. Put -1, 1, a in decreasing order.\nAnswer: a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4599 is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2176.2941745+-23\nAnswer: 2153.2941745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:35 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38275\/11886 - -5\/849. Find the common denominator of y and -1\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-21))\/(1\/(-7)). Is ((-23)\/o)\/(4\/56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(1 + 20*h - 158*h - 33*h) as t + c*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 320931, 641888, 962843, 1283796, 1604747?\n\"Answer: -q**2 + 320960*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 43 - 57 = 0. Solve g + 0*g - 2*z - 15 = 0, -3*g + 2*z = -d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 598 = -37*p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 627 = -1383. What is the third derivative of 4 - 4*j**2 - n*j**5 + 5*j + 56*j**3 + 200*j**5 - 5*j wrt j?\nAnswer: -60*j**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -303 + 2413\/8. Find the common denominator of ((-130)\/(-8) - -2) + -2 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1659812?\nAnswer: 2, 7, 11, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127 and 1088.\nAnswer: 138176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*3*26\/(-4)*2203355\/(-42185).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6322738 smaller than 6322636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 8*j**2 + 4*j**2 + 18*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y - 13. Is t(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.724 + -21.724. Sort -1\/3, -4\/9, z, -4.\nAnswer: -4, -4\/9, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyttyytyyytyy. Give prob of picking 1 y and 2 t.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-24)\/18) - (-95)\/25?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 18*s**2 + 17*s - 10. Let x be n(-17). Let d(h) be the third derivative of h**5\/15 - 7*h**4\/12 + h**3\/6 + h**2. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50202445 (base 7) to base 6.\nAnswer: -224555204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -3.8. Which is the nearest to -1? (a) -2\/9 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/2 - 7*u**4\/2 + 5*u**3 + 10*u**2 - 28*u + 16 = 0. Calculate u.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, 1, -37 in decreasing order.\nAnswer: 3, 2, 1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from vywvcwcvvcvovyoyfc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + -12 + 12 - -23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29066 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50626 (base 14) in base 16?\nAnswer: -2f30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 = -4*s, 2*h - h - s + 17 = 0. Let j be ((-2)\/(-8))\/(7\/h). Let w = 7.8 + -2.8. Which is the second biggest value? (a) w (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -376 - -375.8. What is the closest to g in -2.1, -1\/11, -3\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010010011 - 1000001?\nAnswer: 10111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1986\/10 + 8\/20. Let t = 373 - j. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1916, -1922, -1946, -1994, -2072, -2186, -2342?\n\"Answer: -x**3 - 3*x**2 + 10*x - 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 60*d**2 + 65*d + 806. Let q be k(60). Calculate the greatest common divisor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*i + 135, -s + 37 + 15 = 4*i. Suppose s*j - 27*j - 54301 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 3*s)*(3 - 1 + 0) + (2*s - 1 + 1)*(-2 + 6 - 1)*(1 - 4 + 2).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65369302?\nAnswer: 2, 997, 32783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 529, 528, 527?\n\"Answer: -a + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 426.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 56 = m. Suppose n = m + 4. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let d be (4 + -2 - j)\/(-1). Is d*(8 + -2)*1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3245 - 9733\/3. Sort 1, -18, -0.1, p in increasing order.\nAnswer: -18, -0.1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2 - 3202*n + 800.\nAnswer: 2*(n - 400)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (284\/(-2))\/((-2)\/6). Suppose -7*x = -505 - w. Let m = -78 + x. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534*l - 2512*l - 2491*l + 4128 = -7585*l for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgggogrzo. What is prob of sequence rz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7913 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/25052444 and -69\/313155550.\nAnswer: 626311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 28. Let a be f(4). Suppose -6*w - 36 = -a*w. Suppose -5*u = -2*j - 8, 5*j + 2 = -2*u - w. Solve u = 3*d - d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -61. Suppose 0 = 2*x + 4*a - j, 3*x - 4*a = 6*x - 72. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-34)\/8 + -3 + 7). What is the nearest to m in -6, -3, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1261 + 0.0281. Let j = i + -0.302. What is the nearest to -4 in 1\/6, j, 3, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7826652 and 7391838?\nAnswer: 133053084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5051.8485 minutes to days.\nAnswer: 3.508228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let d(l) = l + 8. Let j be d(-6). Sort 5, j, n.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let q be 255\/6545 + (0\/(-4))\/3. Is q less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 3926*y - 514723. Determine q(127).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9503.\nAnswer: 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 4. Let h be r(11). Let i be (39700000\/15)\/((-3 + 4)\/h). Round i to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 35. Let w be (16\/c)\/(4*2\/36). Suppose 0 = -5*h + 3*v + w, -2 = -v - 0. What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.351 * 760\nAnswer: 2546.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966520 and 193304?\nAnswer: 966520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11324 divided by -5662.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a (base 15) in base 6?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*r - 104*r + 195*r**3.\nAnswer: 195*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35860*n**5 - 238*n + 5 wrt n?\nAnswer: -717200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9908, -9907, -9906, -9905, -9904?\n\"Answer: a - 9909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 7389?\nAnswer: 192114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 - 5\/3*d**3 - 2*d + 1\/2*d**2. Determine x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwxwcxxcckcc. Give prob of picking 1 w, 1 x, 1 k, and 1 c.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 14*u + 13. Let y be v(-15). Let z be (-1)\/(-2)*y*(-1 + 2). What is the third smallest value in z, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 110*b + 55. Let d(u) = 4. Give -15*d(i) + z(i).\nAnswer: 110*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18197 or 18198?\nAnswer: 18197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/5, 2\/3, -40\/11 in decreasing order.\nAnswer: 4, 2\/3, -2\/5, -40\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*n = 10, -4*n + 12 = 5*z - 6*n. Suppose -4*u + 62 - z = 0. What is the remainder when 73 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8992\/5 - 1810. Calculate the common denominator of -17\/25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00407424 to 2 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 1 - 5. Let y be -16 - -19 - (2 + m). Solve -y*p = -p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, 0.455, 2\/21 in descending order.\nAnswer: 5.8, 0.455, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(9\/24) - 2. Suppose -2*f + l*f = 0. Suppose f = -6*h + 4*h + 4*u + 22, 0 = 5*h - 4*u - 31. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 - 225. What is the third smallest value in x, -6, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*v + 176. Let x be -4 + v\/(-16) + 21\/(-12). Is 1\/75 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88833391 a multiple of 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:54 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338295371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 125655432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.053 - 0.283. Let s = a - -0.03. Let q be (-3 - (27\/(-13) + -1))*-2. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a - 3 + 10)*(-20 + 20 + 4*a**3).\nAnswer: 4*a**4 + 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 - 13718*n**2\/3 + 54904*n\/3 = 0. What is n?\nAnswer: -6863, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458624 is divided by 78.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+6374\nAnswer: 6374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 51?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + j - 12 + 0 = 0, -3*p + 20 = 2*j. Let o(z) be the third derivative of -z**5\/20 - 2*z**3\/3 + z**2. Let a(r) = -8*r**2 - 11. Give p*a(g) - 11*o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9241, -35560, -78951, -139414, -216949, -311556?\n\"Answer: -8536*a**2 - 711*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4593681419 + -836573697937453\/182114. Let q = 2\/2461 + k. Let y = 2077\/370 - q. What is the common denominator of 9\/2 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:50 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4 + 300*r**3 + 42965*r**2 - 175560*r + 132300 = 0?\nAnswer: -70, 1, 3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -840*v + 841*v - 3623. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(8\/(-64)). Suppose 0 = 2*z - m - 7, 0 = -3*m + d + 5. Solve -r + 2*t = -6, z*r + 5 = -2*t + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:14 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*f + 16 = -p, 0 = 4*p + 2*f + 14. Let g = 5 + p. Solve g = -3*w - 9 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*l + 237*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(1\/(-1) - -3). Suppose 1 + 8 = 3*p, -c*h + 3*p + 7 = 0. What is the smallest common multiple of 2 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 8 + 3 - 22*i - 18 in the form k + w*i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 247386 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxfrbrdbxbbddb. What is prob of sequence wbbf?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**5 - 88*k**4 - 5*k**2 - 40*k - 156047 wrt k?\nAnswer: 800*k**3 - 1056*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 3*c**2 - 5*c - 1. Let m be z(-4). Solve -3*v - 18 = 6*b - b, -m*b = -2*v + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.157+0.1323494234171\nAnswer: -0.0246505765829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 + (0 - 2 - -2)*30\/30 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128508 = 38*z - 69548. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 413750030*k**4 + 90407368.\nAnswer: 1655000120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (6 - (-8 - -5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 762\/5 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77952 rounded to 2 decimal places?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:53 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1.9 (b) -0.07 (c) 3 (d) -0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-504 + 504 - 35*r + (0*r + 0*r + r)*(-1 + 1 + 1))*(r**2 + 0*r**2 - 3*r**2) to the form a*r**2 + o*r + h*r**3 + d and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*n + 74 + 3, 4*n + 8 = 0. Calculate the remainder when 61 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -2 - sqrt(170)\/(sqrt(10) + sqrt(160) + sqrt(10)).\nAnswer: -2 + 17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7450 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14.82211+0.5\nAnswer: 15.32211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 30.9966. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 189\/(-24) - 1 and -137\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23617 (base 10) to base 11\nAnswer: 16820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 6:38 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 565, 2879, 6749, 12175, 19157, 27695, 37789?\n\"Answer: 778*l**2 - 20*l - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7376356565.\nAnswer: 5, 23, 653, 98227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 543, 1 in descending order.\nAnswer: 543, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1486 by 181.\nAnswer: 1486\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:38 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 141 + 127 - 3*v.\nAnswer: 10*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(208))*-6.\nAnswer: -24*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 310\/(-658) + (18 - (-1599)\/(-91)). What is the closest to x in 2, -7, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564292079 + -0.2229?\nAnswer: 2564292078.7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 16800.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(18) + (sqrt(2) + 2)**2*-2 - (sqrt(32) + 1 + (sqrt(2) - (sqrt(20)\/sqrt(2))\/sqrt(5))).\nAnswer: -27*sqrt(2) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/11)\/t*t))\/(t\/t**(-7))*t**2*t*t*t**(2\/5)*(t**6*t*t*t**6\/t)\/(t\/(t*t\/((t*t**(-3\/4))\/t))*t**(-2)) assuming t is positive.\nAnswer: t**(3153\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**6\/75 + k**5\/50 - 2*k**4\/15 - 4*k**3\/15 + 44*k. Factor n(j).\nAnswer: 2*j*(j - 2)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6861*o - 3*o**3 + 13728*o + 189*o**2 - 6862*o + o**4 + (4*o + 2*o - 5*o)*(-3*o**3 + 2*o**3 - 2*o**3) as x*o**4 + z*o**2 + g + j*o + a*o**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4.01, -1\/2, -1 in decreasing order.\nAnswer: 4.01, 4, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1018, 826, 620, 394, 142, -142, -464?\n\"Answer: -h**3 - h**2 - 182*h + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 r when four letters picked without replacement from ggtrxtg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/30 - 111*j**3\/5 + 334*j**2\/5 - 1077*j - 2. Find d, given that g(d) = 0.\nAnswer: -334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 780*u - 20125.\nAnswer: (u - 25)*(u + 805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 3. Let k be q(-1). Suppose k = n + 3*n - 6*n. Suppose -6*i = -n - 36. Calculate the smallest common multiple of i and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47 - 189*c**2 - 593*c + 1194*c - 597*c wrt c?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5)*2134\/44. Is -197 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.99 + 17.99. Suppose -4*z = -2*r + 4, 5 = -2*z - 5. Which is the second biggest value? (a) k (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10*o - 160. What is the greatest common divisor of 36 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -872\/43 >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) - 1*sqrt(1215) - sqrt(1215))\/(3*sqrt(3)*-2).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 5\/2*i**2 + 0 + 1\/20*i**5 - 2\/3*i**3 + 5*i + 1\/6*i**4. Let y(q) be the first derivative of h(q). Let y(n) = 0. Calculate n.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 3. What is j(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.1 - 86.09999846. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4802885.\nAnswer: 5, 43, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -2*m, 3*m = -4*i + 2 + 4. Suppose 2*l + 0*l - 110 = i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -36*t**3 + 28*t**2 + 29*t - 2. Determine d(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 840*d + 3424.\nAnswer: -4*(d - 4)*(d + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let l(h) = -1. Suppose -4*x + 6 = o, x - 5*o = -x - 8. Let b(d) = d + 1. Let a(r) = x*l(r) + b(r). Calculate i(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**3 - 117*a**2 - 24*a + 85. Is y(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 16*a - 28 = 0. Let u(w) = w + 5. What is the lowest common multiple of u(5) and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0431 - 22.2.\nAnswer: -22.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 126718572?\nAnswer: -126718574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-16562)*-52 - (4\/16 - 293\/(-28))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/14*9\/63. What is the fifth smallest value in 2\/7, i, -4, -35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 66. Let j = u - 33. Let d = -0.5 + 0.1. Which is the biggest value? (a) -0.04 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 145 - 68 + 285 + 21*u. What is d(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/98 and -3\/10802?\nAnswer: 529298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3. Let k(d) = -d - 2. Let w(o) = -2*j(o) + 3*k(o). Let x(y) = 2214*y + 2214*y - 4435*y. What is x(w(g))?\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.4 - 12. Let h = p - -2.6. Which is the second biggest value? (a) -1\/3 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Let u = r - -22. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (1 + 0 + -3). Let z = n - 1. Let j be ((-1)\/z)\/((-5)\/(-40)). What is the third biggest value in j, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37131271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -0.2 (c) -1 (d) -23\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 13280463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -67*q**4\/4 - 4*q**2 - 7*q + 69. What is the second derivative of o(k) wrt k?\nAnswer: -402*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -11*y**2\/2 - 4*y + 49. Let s be i(-1). What is the third smallest value in -2, s, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 573 from 111636012.\nAnswer: 111635439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081550 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 - 5*u + 4. Let l be k(-5). Put 7, l, -5 in increasing order.\nAnswer: -5, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g + k + 276 = 0, 2*g - 4*k = -66760 + 66754 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -602, -2\/7, -1215, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 2*j + 32*a - 33*a - 26 = 0, 0 = a. Sort j, 5, f in increasing order.\nAnswer: f, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54015 - 13123?\nAnswer: -111142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 22. Let g be s(-6). Let w = -130 - g. Solve w = 6*r - 2*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 281893\nAnswer: 7\/281893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/17)\/((n**(-1\/30)*n)\/n) assuming n is positive.\nAnswer: n**(47\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 450923 and 475?\nAnswer: 214188425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 11*t**2 - 19*t - 2. Let h be v(-8). Let d = h + 74. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i**2 + 83 + 97 - 180.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n. Let w(j) = -2*j. Let f be 5 + (-4)\/((-4)\/(-3)). Let p(a) = -2*a. Let l(g) = f*p(g) - 3*w(g). Give l(b(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 248003 - 12\nAnswer: 247991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/19, -1, -3\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {t: 3, u: 1, c: 1, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.4. Suppose -67 = 3*y + 38. Let i be (-7)\/3*(-10)\/y + 0. Which is the biggest value? (a) i (b) 5 (c) -0.5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38127 (base 13) to base 14\nAnswer: 299c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485926 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: Put -1145, 2, -0.1, 3 in decreasing order.\nAnswer: 3, 2, -0.1, -1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*1)\/4*-2. Let a be (-1 - -2) + -12 + 16. Put s, 1, a in ascending order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdq. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p + 2. Let t be x(-2). Let m be 665\/t*(-8)\/5. Let i = m + -49. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2 + 11*w. Let x(k) be the second derivative of -k**4\/3 + 5*k**3\/6 - 3*k. Let d(h) = -3*o(h) + 7*x(h). Find the second derivative of d(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 29 - 61 + 13 + g to the form u + h*g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4882 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**4\/6 - d**3\/6 - d**2. Let b(a) be the second derivative of a**3\/6 + a - 8. Calculate 3*b(i) - f(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j + 4. Let o be f(0). Let a = 244 + -244. Suppose k + 5*u - 41 = 0, -2*k + u + 3*u + 12 = a. Solve -4*r + k + o = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b4 - -5?\nAnswer: 16b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72, -181, -316, -477, -664, -877?\n\"Answer: -13*x**2 - 70*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 3 = 3*i. What is the remainder when ((-8)\/(-6))\/(1\/(24\/2)) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4 + 6628*g**3 - 220176*g**2 + 2427260*g - 8909714 = 0?\nAnswer: -3347, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -35*d**2 - 9*d + 45. Let y(s) = 17*s**2 + 4*s - 22. Let v(u) = -4*j(u) - 9*y(u). What is the derivative of v(b) wrt b?\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 116*v - 18. Let r be k(9). Let m(i) = i + 13. Let d be m(r). Sort 5, d, 1 in decreasing order.\nAnswer: 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29583357 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f. Suppose 12 = -31*m + 37*m. Let k(j) = 3*j**2 - 3*j. Let t(g) = -3*g**2 + 3*g. Let h(b) = m*t(b) + 3*k(b). Calculate s(h(o)).\nAnswer: 6*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-70) - (6\/10 - 1). Let f be 6\/(36\/42) - (h - -1). Suppose 3*g - 2388 = c, 5*c - 2618 = -f*g + 1382. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 + 2 - 2)*(5*u - 3*u + 10 - 5*u) + u**3 + u**3 + u**3 as m + r*u**3 + b*u + y*u**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.6 - -31.15. Let m = 3.54809 - c. What is m rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 60 = 7*t. Let k = -21 + t. Is k < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -26*j + 94, 6*j + 4*c = 3*j - 0*j + 71 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10775700 (base 8) in base 12?\nAnswer: -958854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 7 - 17. Let l(m) = -m**2 - 11*m - 15. Calculate the smallest common multiple of 1 and l(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 26*f + 5 = 0. Calculate the remainder when 369 is divided by 98 - (f + (3 - -1) + 6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + m - 334 = -0*d, 0 = 2*d - m - 135. What is the remainder when d is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 121. What is the nearest to 1\/5 in 5, -9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -130528\nAnswer: -52211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by 384.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 739113 - 30643 = 0. What is u rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2162*b - 8*b**2 + 2664*b - 4826*b + 26*b**2.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m - 5. Let h be s(9). Let u = h - -43. What are the prime factors of (-2)\/(-8) - 4667\/u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**19*t*t)\/(t**12*t))\/(t**(-11)\/(t**(5\/7)*t*t)) assuming t is positive.\nAnswer: t**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/2 - 1305*b**2\/2 + 142569*b\/2 - 141267\/2 = 0 for b.\nAnswer: 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 16. Let p be 2*2*(-46)\/b. Let u = p + -9. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1*sqrt(152) - sqrt(152)) + 1*sqrt(152)*1)*5)\/(-2*sqrt(512)*1 + (-1*sqrt(512) - sqrt(512))*-2 + sqrt(512)).\nAnswer: 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 16590 = 4*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/7*96\/128*-14. Suppose 0*z + 22 = -2*z. Is z less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35280\/(-3675)*-10*9\/27.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) 0.2 (d) -0.06539\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 23 = -2*j, -j - 1 + 12 = -5*l. Let n = -36 - -36. What is the closest to -1\/3 in -0.1, l, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -4\/5, 0.4, -0.01, 134?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:33 PM?\nAnswer: 245","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*r**3 - r**2 + 5*r**3 - 7*r**3.\nAnswer: -130*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.5, 0.4, -1 in descending order.\nAnswer: 0.5, 0.4, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 161587 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 4, k: 1, a: 7}. Give prob of picking 1 k and 2 r.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131.29nm in kilometers?\nAnswer: 0.00000000513129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453929287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 318*p - 4. Let f be b(1). Suppose 4*t + 2*s = f, 0 = t + 3*s + 2*s - 92. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e9 (base 16) in base 15?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 1, -5, -2, 10045 in descending order.\nAnswer: 10045, 1, -2, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 88*u + 1981 = -4125 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8265641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.31591 nanometers in millimeters?\nAnswer: 0.00008931591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606048197 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002961831 to seven decimal places.\nAnswer: 0.0002962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8))\/(425\/212 + -2). Let w = 75 - z. Calculate the greatest common divisor of 33 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-30)\/(-4)*(450 - -44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*l + 5*y, 22 = -3*l + 4*y - 101. Let d = l - -69. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3580 + 3577. What is the biggest value in 5, z, 0.3, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 7005 = 5145. Suppose -38*p + 48*p - o = 0. What is the highest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xttt when four letters picked without replacement from {t: 12, x: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186183.575 rounded to the nearest one thousand?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 355*f**4 - 118?\nAnswer: 1420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(245\/56)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 132.42. What is z rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*b + 13 + 11, -g + 13 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:14 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 4444458?\nAnswer: 4444458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, 0, 2\/19, -0.024 in increasing order.\nAnswer: -1, -0.1, -0.024, 0, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.658539 meters to kilometers.\nAnswer: 0.000658539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 + 205*v**4 - 2495*v**3 + 4275*v**2 + 54000*v + 67500.\nAnswer: -5*(v - 15)**3*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and 56347?\nAnswer: 507123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69889450.\nAnswer: 2, 5, 883, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -166. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + (5 - 4 + 0)*(1 + 0 - 2))*(-67 - 46*i**2 + 67).\nAnswer: 138*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1*1)\/(8\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130416 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(176)*-4)**2 + sqrt(176) + sqrt(176) + 5 + (sqrt(176)*-1)**2 + 3.\nAnswer: -11080 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21434 (base 7) to base 10.\nAnswer: -5366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {q: 3, z: 4, g: 1, c: 1, t: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -201*u**2 + 16. Let f(d) = -134*d**2 + 10. What is 8*f(i) - 5*z(i)?\nAnswer: -67*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.25. Let c = x - -0.35. What is the second biggest value in c, -0.06, 2\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y - 3. Let f(c) = -3*c**3 + 6*c**2 - 6*c + 6. Let r(h) = h**2 - h + 1. Determine y*f(a) + 6*r(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*r + n**3 - 125*n**2*r - 18*n**2 + 8*n*r - 22*n + 226*r + 1 wrt n.\nAnswer: -12*n*r + 6*n - 250*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 24*y - 28. Let n(w) = -w**2 - 4*w - 4. Let i be n(-3). Let b(r) = -1. Let g(f) = i*d(f) + b(f). Solve g(t) = 0 for t.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -1, 0, -3 in decreasing order.\nAnswer: 104, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339.7 + -335.7. What is the closest to r in 2\/3, 0.8, -0.05?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/2)\/(12\/(-150)). Let h be ((-20)\/o)\/((-2)\/20). Suppose 2*q = 2 + h, 1277 = 5*k + 4*q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 9*b + 14 - 4*b + 16 - 32 - 15.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79709, 79972, 80417, 81050, 81877?\n\"Answer: q**3 + 85*q**2 + q + 79622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001337 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 6. Let n be o(-5). Let u = 27 - 26.7. Suppose 559*h = -4*m + 556*h, 5*m + 5 = -5*h. Which is the smallest value? (a) 2.7 (b) n (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79074747 greater than -79074742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 109*q + 107. What is h(-2)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*x - 101*x - 5*x**3 + 2 - 104*x + 304*x + 6*x**4 as v + p*x**4 + f*x**3 + i*x**2 + r*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 - 39*a - 108 = 0. Calculate a.\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:36 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 118, 5\/17, 1\/2, -5?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 531695 = -2*z - 133566, -4 = -2*z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 75444 = -34*q. Let r = q + 12534. Is r 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 62706?\nAnswer: 2, 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 - 9*r - 13. Let a be m(-6). Suppose -f - 2*f = 3*z - 27, 4*f - 40 = -5*z. Let w = a - z. What is the least common multiple of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 a factor of 1311606263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(-9 - -6). Let f(g) = 5*g - 4. Is f(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5131, 5128, 5123, 5116?\nAnswer: 5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 20 - 75. Solve 4*k = 3*k + f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 x when four letters picked without replacement from {r: 2, x: 2, a: 4, i: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96071 less than -1.774954453?\nAnswer: -2.735664453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 1, o: 2, k: 2, e: 2, g: 1}. Give prob of sequence pop.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 427*c + 219720. Calculate i(-351).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.6, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/(-15) + (-135)\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -9, -15, -23, -33, -45, -59?\n\"Answer: -f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dttd when four letters picked without replacement from ttdfflttd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2250389512 to the nearest integer?\nAnswer: 47438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2420\/3 - 220\/3*o - 5\/3*o**2.\nAnswer: -5*(o + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*s + 7, 13*s - 11*s = -4*b + 42. What is the highest common factor of 371 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, h: 6, k: 3, b: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + -5*(sqrt(448) + 1)))**2.\nAnswer: 400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13691 - -13690. Which is the fourth biggest value? (a) 0.5 (b) 4 (c) n (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 2)*(-50)\/30. Suppose 4*m - 20 = 0, k*t - 3*m + 30 = 2*t. Let v = 0 - t. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m + 3. Let g be f(-3). Calculate the common denominator of 34\/5 and (36 - 2)*2\/8 - g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 4574161?\nAnswer: -4574165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13.36*0.6\nAnswer: 8.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -831 - -1107?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 410208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -47. Suppose i - 407 = -0*i - 2*d, -2*d + 1229 = 3*i. Let t = i + -231. Calculate the highest common factor of o and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 + 5)*(-2*f**2 + f**3 + 2*f**2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:05 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300810 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1219 (base 13) to base 12.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 7 = -7*g - 4*q, 43 = 2*g - 5*q. Solve -4*k = 7 + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 37 (b) 1 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164292636 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 9*h**2 + 11*h - 5. Let n be 14\/(-4)*(1 + -3). Let q be i(n). Let x = 253 - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 not equal to -92630103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 21086?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 333039 divided by -1\nAnswer: -333039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547970 is divided by 54701?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.36225 + 0.10435. Round m to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -11. Let m(c) = -c**2 - 14*c - 6. List the prime factors of m(k).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (748\/(-462))\/17*-7. Which is the nearest to 7? (a) g (b) -0.9 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - d?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32326, 32895, 33464, 34033?\n\"Answer: 569*d + 31757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20023000 (base 4) to base 2.\nAnswer: -1000001011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 - 5 = 0. Let n be 82\/(k\/((-6)\/3)). Calculate the remainder when (-6)\/(-9) - n\/3 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 49. What is the third smallest value in 0.4, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.414 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22748, 22753, 22760, 22769, 22780, 22793?\nAnswer: 22808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327 + 0 - ((8 - 3) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-9)*(-6)\/(-4). Let y = -8 + 11. Suppose -2*b = c*p - 4, -4*p + y*b + 2 = 4*b. What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -57*a + 16 - 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -176, -156, -116, -50, 48?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u - 4*b, 54 = 3*u - 2*b - 8. Suppose -4*c - u = -6*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 89344?\nAnswer: 2412288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -93, 14.5?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7776 divided by 1296\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**7\/2 - 17*j**3\/3 + 12*j. Find the second derivative of g(o) wrt o.\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.463249 centuries in millennia?\nAnswer: 0.5463249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 579*w - 46325. Give u(80).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4571\/21 + (-2)\/(-6).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 839 + -2489\/3. Which is the smallest value? (a) 0.4 (b) -2\/7 (c) q (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7794 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 7*s - 4. Calculate z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 9. Let t = -9 + 13. What is the smallest common multiple of t and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 25*w - 126. Suppose 5*n - 102 - 43 = 0. What is the remainder when z(13) is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3575, 26253, 64051, 116969, 185007, 268165?\nAnswer: 366443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1625\/2 - 763. Let t = o + -387\/8. Calculate the common denominator of 21\/10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125194899 is divided by 1887.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**2 + 89*t + 8. Let q be k(6). Let x = 0 + -2. Put q, 3, 4, x in descending order.\nAnswer: 4, 3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/7)\/(y*y\/y**2*y*y))\/(y\/((y\/((y\/((y*y**6\/y)\/y))\/y))\/y*y))**(-2\/79))**(-42) assuming y is positive.\nAnswer: y**(7530\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 10. Let w = i + 7. Solve -w = 2*n + 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (29 - 2)\/3 - (2 - -1). Solve -v + 20 = -k + a*k, 5*k + 3*v = 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = 41 - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 675*j**2 + 3*j + 25. Let g(t) = 3*t**3 + 677*t**2 + 2*t + 17. Calculate -3*g(a) + 2*k(a).\nAnswer: -a**3 - 681*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107.000201 + -107. Round g to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 5*p)*(-2*p**4 + 5 + p**4 + 3).\nAnswer: -7*p**5 + 56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -34715 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -40. Let s = -0.4 + -0.1. Let g = -2 + 1.9. Which is the nearest to g? (a) p (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 - 99\/110?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1267 = 5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 - -11?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/7, 6201, 0.08, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 0*q**3 + 25*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 41. Let r = b + -19. Suppose 4*v - 2*t + r*t - 228 = 0, -4*v - 3*t + 208 = 0. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 12. Let u be d(-10). Let n be u\/10 + 1\/5. Let r = -25 + 24.7. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173268?\nAnswer: 2, 3, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = -8*z - 15*z - 8*z + 59*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -25, 4*a + o = -7 + 30. Suppose k = 2*g - a, -k + 3 - 7 = g. Suppose 8*x - 3*x = -4*z + 25, -x = -2*z - 5. Solve 2*m + 3 - g = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64\/48*9\/(-2) + 56?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16546130717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*h - 28*h + 21*h to the form n*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlal when four letters picked without replacement from aplcccllacncalnpclnc.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 143*c**2 + 1202*c - 56. Give u(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -83. Suppose -18 = -3*u - 5*y, -5 = n*u - 5*y + 5. Let h be (-5)\/((-1 - -1) + -3). Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55582 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15579*f - 11481743. Give j(737).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21110 (base 3) to base 2\nAnswer: 11001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.2. What is the nearest to u in 2, -1\/2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26*-2 + 2)\/(5\/(-10)). Let v(g) = -2*g**3 + 2*g**2 + g - 2. Let u be v(-2). Calculate the highest common divisor of y and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58.12 - 76. Let m = t + 18. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b*b**3*(b**(-2\/13))**(1\/41))**35 assuming b is positive.\nAnswer: b**(-37380\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -813027, -812991, -812953, -812913, -812871, -812827?\n\"Answer: j**2 + 33*j - 813061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1724757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 43 in increasing order.\nAnswer: -6, -4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 1. Let s(t) = -3*t**2 + 10*t. What is o(a) + s(a)?\nAnswer: -2*a**2 + 9*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55881 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41104 + 12?\nAnswer: -41092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 + 403*y**2\/5 - 1012*y + 1460.\nAnswer: (y - 10)*(y + 146)*(3*y - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + 3*a)*(0 + 1 + 1) - 64*a - 7*a + 34*a.\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**2 - z + 3. Let v be q(1). What is the nearest to -0.1 in -6\/11, 2, v?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {c: 1, s: 1, u: 7, f: 3, z: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = 5*l - 4*l - n, 3*l - 5579 = 4*n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/473 or 1?\nAnswer: 45\/473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 32, 4, 51 in descending order.\nAnswer: 51, 32, 4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -2.03. Let m be 5 - (-6 - 77392\/(-7035)). Let f = m - -673\/3015. What is the nearest to -1 in w, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222 + 222 + 19*l**2)*(l + 2*l - 2*l)*(0 + 1 - 3) as n + w*l**2 + v*l + q*l**3 and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 9*s - 2. Let z be o(-8). Which is smaller: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-6*k**2 - 3*k**2 + 3*k**2 + (-3*k + 2*k + 3*k)*(-4*k + 3*k + 2*k) + 2*k**2 - k**2 + k**2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/119133 - -53133448\/7743645. Let h = -84\/13 + i. Sort -0.8, h, -1\/5.\nAnswer: -0.8, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146068 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3\/3 + n**2\/2 - n + 14. What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b**2 + 88*b**2 - 45*b**2 - 2*b + 2*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 m, and 1 e when four letters picked without replacement from {m: 4, u: 12, e: 4}.\nAnswer: 352\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 less than or equal to -314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10905023 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -196, 61, 566, 1403, 2656, 4409?\nAnswer: 6746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-54) + (-22)\/(-18) + 59. Calculate the highest common divisor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from xiiimns?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 887 = -5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 4*s**2 - 2*s**2 - 10*s in the form z*s**2 + o + h*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 488040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:58 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmebbqbbbbbeqqbbbqb. Give prob of picking 4 q.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 746121 * 0.3\nAnswer: 223836.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -919*g**2 - 25732*g - 11. Determine x(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*n**5 + 56*n**2 + 2*n**3 - 4*n**3 + 187*n**5 wrt n.\nAnswer: 120*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - 71. Let l = -70 - c. Suppose -i = -l + 9. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 411 - 412. What is the nearest to w in 2, 3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32991517 or -32991520?\nAnswer: -32991520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14732*g + 1792*g + 197*g - 10920*g + 3498*g to the form w*g + n and give w.\nAnswer: -20165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264 - 261. What is the derivative of 6 + 35 + 20 - 46*l**y - 2 wrt l?\nAnswer: -138*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*n - h, 3*h + 4 = h. Suppose 15*f - n = 29. Solve 0 = 2*k - f*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(2\/(-4)*12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88)*1 - sqrt(88)))*2 - -1*sqrt(88)*-1)\/(sqrt(8) + (sqrt(256) + sqrt(16) + sqrt(16))\/sqrt(2) + 2*-1*sqrt(8)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -50*k + 464. What is the remainder when y(-8) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n*n\/n**(-2) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643004 is divided by 9663?\nAnswer: 5246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-4) + (-2)\/(-4). Let t(m) = 5*m**3 - 818*m + 5 + 812*m - 11. Let n(i) = -5*i**3 + 5*i + 5. Determine w*n(d) - 5*t(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 3*i + 0*i**3 - 2*i**3 - 161 - 5*i**2 + 162 + 3*i**2 to w + p*i**2 + s*i + b*i**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 2*a + 10. Let w be j(7). Let h be 1 - 2 - (-4 - 2). Calculate the highest common divisor of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + -111?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94829986301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.5 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/26 + -3\/2. Which is smaller: p or 2\/101?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 5*l**2 - l - 2. Calculate p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46283.23 litres to millilitres.\nAnswer: 46283230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2047 divided by -1207\nAnswer: -2047\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3 - 4686*c**2 - 1563*c.\nAnswer: 3*c*(c - 521)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by -3122.\nAnswer: -227\/3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 26 - 11. Suppose h*v = 113 - 23. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(-1*sqrt(3)))\/(sqrt(147)*1).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o**3 + 20*o - 12. Let b be 8\/(21\/(-63) - (-2)\/2). Let l(n) = -8*n**3 - 8*n + 5. Determine b*l(q) + 5*m(q).\nAnswer: 4*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636829 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10179577 and 2.\nAnswer: -10179575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458715 and 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*(4 + -5). Let t be ((2 - 2)\/w)\/1. Solve t = 5*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -9, 2 = -y - 2*f. Let k(o) = 3*o + 15. Let q be k(-8). Let c = y - q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 36 = 24*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6890, -13528, -20166, -26804, -33442, -40080?\nAnswer: -46718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(2\/13))\/a)\/a*a**(-1\/3))\/(a\/((a**(1\/15)*a*a)\/a)*a**(-1\/17)\/a))**(-2\/63) assuming a is positive.\nAnswer: a**(2398\/208845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 3 - 6*n + 0*n. Let h(q) = -1. Let c(i) = i**2 - 13*i + 2. Let g be c(13). Let z be ((-14)\/(-28))\/(g\/(-4) + 0). What is z*u(o) + 4*h(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/21 + ((-12)\/14)\/((-126)\/(-588))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-6221530)\/(-45))\/7 + 38\/342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -866 divided by 2?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 40*l**2 + 202*l + 77. Calculate t(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.26 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27 and 3.54?\nAnswer: 0.9558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:34 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 93, -71923, 4, 1, -2.\nAnswer: -71923, -3, -2, 1, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.847389ng in milligrams?\nAnswer: 0.000007847389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 217, 538, 1147, 2140, 3613, 5662?\n\"Answer: 16*x**3 + 17*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 3 + -1 - -1. Suppose l*y - 73 = 203. Suppose d - y = -3*d. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 - 106*c\/5 + 316\/15.\nAnswer: 2*(c - 158)*(c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-8)\/(-240))\/(3\/54)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1585, 3063, 4545, 6031, 7521, 9015, 10513?\n\"Answer: 2*o**2 + 1472*o + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 1, k: 1}. Give prob of sequence lkpl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-102)\/119)\/(1\/(-7)). Calculate the greatest common factor of 150 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s**2 - s**3 - 2 + 10 - 10. Let y be g(6). Sort 0, -0.2, y.\nAnswer: y, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*80.94355.\nAnswer: 6.475484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50481 divided by -16827\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-3)\/(12\/8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/4 - 213897*u\/4 + 11208879 = 0. Calculate u.\nAnswer: -71508, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 26*v**2 - 1\/3*v**3 - 25*v - 154\/3 = 0.\nAnswer: -1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**5 + 9170*x**4 - 279760*x**3 + 532030*x**2 - 261435*x = 0.\nAnswer: 0, 1, 29, 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9141 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*-2)\/sqrt(5)*-1 + 1)**2 + 4.\nAnswer: 12*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 249639.\nAnswer: 1\/249639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535819 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 - (-40 + 67)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353540223 to the power of 1\/2, to the nearest integer?\nAnswer: 36790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 - 542*r**3 - 18772*r**2 + 20408*r + 38640 = 0.\nAnswer: -230, -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784729 + 784729 - 1016*i**2.\nAnswer: -1016*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*i + 1079 = 0, -5*f = -6*f - i + 263. Suppose 3*m + 708 = 5*z, -2*z = -m - f - 18. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -256805, -513393, -769981?\n\"Answer: -256588*l - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -40 + (1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 76981.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.012388? (a) -52 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -894*s**3 + 11*s**2 + 395. Let b(v) = 179*v**3 - 2*v**2 - 79. Let o(x) = 11*b(x) + 2*l(x). What is the first derivative of o(z) wrt z?\nAnswer: 543*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/9 - 16\/(-72). Suppose 8 = -5*t + p*b, 4*b - 11 + 4 = 3*t. Let l = 0.2 + 0. What is the nearest to t in l, 2\/9, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 + 252. Let y = v + -61. Which is greater: y or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24624 + 24629. What is the fourth smallest value in d, -8, -0.59, 6, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 46560\/(-416))\/(-2) + 40\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + -159. Let l = -5464026.0809 + 5464245.08090091. Let r = w + l. Round r to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/102 and -22\/3189.\nAnswer: 108426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from hllhghhhglhhhgjgjh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 24*z**2 - 16*z**2 - 10*z**2. Let y(g) = 13*g + 2. Let w(d) = 38*d + 7. Suppose m - 34 + 55 = 0. Let q(r) = m*y(r) + 6*w(r). Calculate i(q(n)).\nAnswer: -4050*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 7ed?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371208 is divided by 4868.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9944?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/30 + 18*z**2 + 7*z - 40. Let r(h) be the second derivative of 0 + 0*h**2 + 25\/6*h**3 - h. Determine j(r(n)).\nAnswer: 1250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + 3*(sqrt(637) - (sqrt(637) - (sqrt(637) + 0))**2))) + sqrt(1872)*1 + -4*(sqrt(13) - (sqrt(208))**2).\nAnswer: -13*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5*9\/(-18) and 1131\/(-520) + 10*3\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60332 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 4 + (1*sqrt(931))**2 + 5 - ((sqrt(931) - (-1 + 0 + sqrt(931))**2) + -2)*4).\nAnswer: -14040 + 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**4 + 70*m**3 - 2*m**2 - 118*m - 6. Let o(u) = -u**4 - 7*u**3 + u**2 + u + 1. Let j(c) = -g(c) - 6*o(c). Factor j(k).\nAnswer: k*(k - 28)*(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/10 + 347349*j**2\/10 + 347347*j\/5 = 0 for j.\nAnswer: -347347, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*z + 4, -24*x - 46 = -20*x - 5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*m**2 + 5840*m\/7 + 132\/7 = 0. What is m?\nAnswer: -3\/133, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.6, 4, -0.3, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697990 and 31220?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddwdddslhddde. What is prob of picking 1 l, 1 s, and 1 d?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 1, a: 1, f: 2, x: 1, l: 1}. Give prob of picking 1 a and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u)**(-18\/5)*u**17*u*u*u**(-2\/3) assuming u is positive.\nAnswer: u**(653\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -3, 350, 0 in decreasing order.\nAnswer: 350, 9, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8447776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67617130.\nAnswer: 2, 5, 7, 37, 26107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 130683048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 76*u**2 + 254*u - 200. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -153285?\nAnswer: 2912415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12011122121201 (base 3) to base 16\nAnswer: -29f16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 999835*r**3 - 2420170*r?\nAnswer: -40*r**3 - 5999010*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(304) - sqrt(304)) + 4 + 1)**2*6 + (sqrt(95) - (sqrt(95) - sqrt(95)*1 - sqrt(95))*-2 - sqrt(95))\/sqrt(1125).\nAnswer: -7202*sqrt(19)\/15 + 7446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*a - 24268 = 0, -3*z + 6*z + 4*a = 18194. Suppose 5*j - z = 6325. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 5*g + 3. Let c be n(-2). Let k be (-88)\/(-14) + 2\/(-7). Solve -k = -5*o - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -63*z - 9435. Determine v(-151).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 221*l - 1 + 48*l - 1 to z*l + a and give z.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 836*n - 2042. Let s(r) = -1672*r + 4084. Let a(l) = -2*s(l) - 5*z(l). Find the first derivative of a(p) wrt p.\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*x = -15 - 15, 63 = 2*i + x. What is the remainder when i is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 75*j + 566 + 1813 = -177*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 115 - 58) + 64\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505511227?\nAnswer: 13, 23, 1690673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*q - 207*q + 118*q = -1084 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174214244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97614416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -885 + 1302. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 7) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 - (-14)\/42. Let g(u) be the third derivative of -1\/36*u**4 + 1\/180*u**6 + 0*u**3 - 3*u**2 + 0*u + i + 0*u**5. Factor g(r).\nAnswer: 2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*t + 2684 + 1989 + 1587 = 2916 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:35 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 9) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4 + 154*a**3 - 746*a**2 - 10714*a + 11310 = 0 for a.\nAnswer: -13\/2, 1, 15, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461 + 435144?\nAnswer: 434353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.96 and -0.2862.\nAnswer: 4.281552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000170854 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10990457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/4 - 8*r**3 - 4615*r**2\/2 + 5002*r - 1. What is the derivative of n(k) wrt k?\nAnswer: -6*k - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -11 in decreasing order.\nAnswer: 2, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/24 and ((-610)\/30)\/(-2 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*l + 2 = 0, 0*r - 5*r + 25 = -5*l. Let m be (-37)\/(-5) - 3 - 0\/r. Find h, given that -26\/5*h**2 + 8\/5*h**3 - 4\/5 + m*h = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/120 - n**5\/12 + n**4\/4 + 3*n**3\/2 - 5*n**2. Suppose -2*w + 0*k = -2*k + 4, 2*k = w - 2. Determine p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*i**3 + 2*i**2 - 3368*i + 845108 wrt i.\nAnswer: -237*i**2 + 4*i - 3368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2 - 2055638*o + 2055640 = 0.\nAnswer: -1027820, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 28 = -82. Put 6, d, -3, -5 in decreasing order.\nAnswer: 6, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 - 23*y + 4*y**3 + 3*y - 4*y**3 wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 + 379. Let u = c - -24. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 79*w = -1490 - 3490 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445304 is divided by 1803?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/(-6))*1. Suppose -25 = -3*v - k*v. Suppose -v*h = 15, 0*h + 39 = 3*l + h. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 20*p + 25. Suppose 0 = -5*t + 15, -22*t + 26*t + 83 = 5*o. Let v be j(o). Let i = -2 + 8. Solve v*f + i = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(1\/2)))**(-20\/11))**(-37))**44)**(-13) assuming z is positive.\nAnswer: z**19240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 + 17 - 21*m - 5.\nAnswer: -21*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102500206157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(45\/(-20754))*(-1)\/(-2).\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:42 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 48. Suppose 0 = -j*r + 14*r - 4. Let c(t) = -32*t - 18. Does 26 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/13)\/n*n)*n)**(-1\/6)\/(n\/(n\/(n\/n**(2\/59)))*n*n*n**(-1\/27)) assuming n is positive.\nAnswer: n**(-67030\/20709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 13\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {i: 6, j: 7}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + o**2 + 0*o)*(4 - 8 - 1) - 2*o**2 + 2*o**2 - o**2 + (2*o + 2 - 2)*(o - 4*o + o) to z + f*o**2 + g*o and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**3 - m**2 + 3*m + 2. Let y be d(-2). Let n = y - 9. Suppose -4*t + n = -13. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, 14 in decreasing order.\nAnswer: 14, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -451, -691, -719, -541, -163, 409, 1169?\n\"Answer: -x**3 + 112*x**2 - 569*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664805.\nAnswer: 5, 132961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-9) - (-2)\/3. Is 15 a factor of (0 + o)\/1*(-56 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 - 11 = 0. Suppose 5*o - 871 = -2*b - 239, b = g*o - 629. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3 + 24568616*g**2 - 47808807 wrt g?\nAnswer: -6*g**2 + 49137232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5812.514 - -18\nAnswer: 5830.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3618 is divided by 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122211200 (base 3) to base 7.\nAnswer: -164205","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -4*o**7\/105 + o**6\/15 + 149*o**4\/24 - o**3\/3 - 55*o**2. Find the second derivative of y(x) wrt x.\nAnswer: -96*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*f**3*n**3 + 11*f**3*n**2 - 9*f**3*n - 3*n**5 wrt n.\nAnswer: -696*f**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 200 = 7*p. Suppose p*l - 41*l = -278985. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 68 = -0*b. Let x = b - 0. List the prime factors of ((-2)\/(-1) - x)*-1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40673, -40699, -40721, -40739, -40753, -40763, -40769?\nAnswer: -40771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)**38\/(k**(1\/3))**(-3\/8))**(-37))**(-3\/11) assuming k is positive.\nAnswer: k**(111\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 29 = -35 - 11. Let u(h) = -6*h - 88. Give u(y).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h\/((h*(h**24*h)\/h*h)\/h))\/h)))*h**(-21)*h)**(-3\/13) assuming h is positive.\nAnswer: h**(-18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -37*h. Let s be r(-1). Let z = s - -108. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-450))\/((-10)\/(-15)). What is the second smallest value in d, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37207158870366 - 6*g**3 - 37207158870366.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 942982816 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {i: 2, z: 7, o: 4}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7705)\/(-770) + ((-60)\/(-2))\/(-3) and 34\/861.\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2225*i**2 + i + 1. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -25*n**2 - 82*n - 43. Let o(r) = 50*r**2 + 166*r + 85. Let b(l) = 13*i(l) + 6*o(l). Find t, given that b(t) = 0.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-8)\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 111.\nAnswer: 9213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*x**3 + 2*x + 36*x**3 - 2*x.\nAnswer: 181*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -97. Suppose y - 1122 = 2*w + z*y, 5*w + 2823 = 2*y. Let u = w - -1540. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 0.3, -2\/9 in decreasing order.\nAnswer: 19, 3, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 1, 2.9, 2.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0 (c) -1\/11 (d) -14231 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2. Let i(s) = 31 + 32 + 13*s**2 - 63. Give i(n(z)).\nAnswer: 468*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*p - 2551, -3241 = -2*w - p + 1833. Do 2541 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11761\/444 + 5\/444. Let i = -140 - -1119\/8. What is the common denominator of i and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 63. Suppose 10*f - 595 = 5*f - 3*s, 3*f - 5*s = 357. Calculate the remainder when f is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 70888713.\nAnswer: 70888713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 10952112.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13744234 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.07 (c) -12 (d) -0.62 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f + 44 + 34 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let p be w(1). Let z = -4 - -4.1. Which is the nearest to z? (a) 0 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242404 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(50) - (sqrt(19) + -5)*1.\nAnswer: -4*sqrt(19)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9 - -5) + 4)\/(-3). Let k be (q\/(-2))\/(6 - 8). Solve k = 2*b + 1 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/13, -6\/13, -0.3 in ascending order.\nAnswer: -6\/13, -0.3, -2\/13, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248847, -497706, -746561, -995412, -1244259, -1493102?\nAnswer: -1741941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - 9569?\nAnswer: -95bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s + 0*s - s + ((1 + 2 - 2)*(2 - 1 - 2) + 1 - 1 + 2)*(s - 5*s + 2*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-3\/10))\/n)\/n*n\/n**30*n)\/(n**(-11\/2)\/n)**30 assuming n is positive.\nAnswer: n**(1663\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 35 = 10*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-15) - -5) + (-72)\/(-90).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 6. Let o(c) = -2*c**3 - c**2 + c - 6. Let k be o(-2). Let i be ((6\/k)\/1)\/((-2)\/(-36)). Suppose i = -z + 24. What is r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*s**2 - 5*l**3*s - 292*l**2*s**2 + 14*l*s wrt s.\nAnswer: 2*l**3 - 584*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12708.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/13, 10, -3\/7, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27044438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 765 + -673. Suppose 0 = -w*k + 70*k + 22. Sort 2, -277, k.\nAnswer: -277, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -65. Suppose u = -11*v + 12*v. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7231 take away 116748?\nAnswer: -109517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 3. Let y be f(9). Let g(z) = 16*z**2 - 16*z. Let v be g(-9). Suppose -15*c + 27*c = v. What is the highest common divisor of c and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*g*m - 4*g - 2*m**2 + 1128*m - 11190 wrt m.\nAnswer: -47*g - 4*m + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 7*f - 3. Let t be s(-7). Does 15 divide 32 - 2*t\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 + 12648*f\/7 - 12652\/7.\nAnswer: 4*(f - 1)*(f + 3163)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69089619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(63) - (sqrt(189)\/sqrt(3) + sqrt(63))) + (1*sqrt(19)*-1)**2*2.\nAnswer: -sqrt(19)\/3 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**(3\/2)*v)\/v))*v**0\/v)**(-50) assuming v is positive.\nAnswer: v**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -200, 0.081?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a - 398*a + 269*a.\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -508076805*l**2*m**2 + 53219*l*m**2 - 150*m**2 wrt l?\nAnswer: -1016153610*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.7. Let r = v + 0. Let g be 18*6\/(-12) + 9. Which is the closest to g? (a) 4 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4 - -3)*-9. Suppose 3*y = 4*j - 33 - 41, -2*y + 5*j = d. Let x(o) = o**3 - 9*o**2 + 5*o. Let r be x(8). Is y bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:34 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -2\/11, 5, 24\/7, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) -3 (c) 0.2 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.22 + 6.22. Let s = 0.1 + -0.3. Which is the closest to x? (a) s (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from xzizzoziiioioi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:31 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 11) in base 16?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**9\/168 - c**8\/6 - 52*c**5\/15 + c**4\/12 + 281*c**2. Find the third derivative of n(z) wrt z.\nAnswer: 360*z**3 - 3360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 588, -799, -3110, -6345, -10504, -15587, -21594?\n\"Answer: -462*v**2 - v + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5735893*c**2*f + 3*c*f - c + 10153*f - 1 wrt c.\nAnswer: -11471786*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -20*t + h + 126, -5*t + 16 = -2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -471204 (base 9) in base 12?\nAnswer: -11794a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1700*w - 14154. Give y(-8).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 2*l**4 + 0*l**4 + (13 - 13 - 9*l**2)*(-2*l**2 - l**2 - l**2) + l**4 + 0*l**4 - 3*l**4 + 18.\nAnswer: 36*l**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 206*((-38)\/209 - 51\/22). Let q = 530 + x. Solve 5*p + 3*l - 19 = 0, 0 = 2*p + p + 3*l - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -0.3, 3, -253?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = t. Solve 4*o + h + 14 = t, 0 = 3*o - 7*h + 9*h + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 + -1020123130?\nAnswer: -1020122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1\/12793, 2, 5, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88595027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71214609.\nAnswer: 3, 23738203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43710.\nAnswer: 2, 3, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 21435 + 2661 = 0. Suppose -878 = -4*v - y. Let w(l) = l**3 + 2*l**2 + 1. Determine w(v).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1477.83 - -53.23. Round a to the nearest ten.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31774.229 rounded to the nearest ten?\nAnswer: 31770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20653333589\/3970 + 5202351. Calculate the common denominator of 49\/12 and s.\nAnswer: 23820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + v - 191 = 0, 4*h - 109 = v + 282. Suppose -2*q = -6, 0 = -3*f + q + 172 - h. Calculate the greatest common divisor of 442 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757\/105 + 106\/15. Let s be 10\/2 + 0\/4. What is the nearest to 4 in d, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-1) - 1*-15. Let c(y) = y - 11. Let x be c(u). Solve t + n - 6 = x, 0 = -0*n - 3*n + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from nonnnno.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/8)\/(-9)*((-3616)\/(-11088) - (-8)\/(-28))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44 - -2569188)\/(-4 + (-1497)\/(-375)). Round m to the nearest 1000000.\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, s: 1, l: 1, g: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17177280 and 17177280.\nAnswer: 17177280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*w + 49403 + 108763 = 49*w. What is the remainder when w is divided by 89?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + 7.8. Let x = m - 1.2. Is 2\/11 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -435 + 1806. List the prime factors of u.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y**2 + 3*y. Let i be (2 + 80\/(-44))*11. Suppose 10*h - i = 9*h. Let k be r(h). Let q(m) = -m**3 + 7*m**2 - 6*m. Determine q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*r = -5, 5*g + r + 4*r = -5. Let k = -8 + 4. Let y = k - -2. Which is the closest to g? (a) 1\/3 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**6)\/x*x)**(-2\/7)\/(x**(-13)\/(x\/x**(-19)*x)) assuming x is positive.\nAnswer: x**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 22*u - 73. Determine j(-21).\nAnswer: 2552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2710, 2709, 2708, 2707, 2706, 2705?\n\"Answer: -a + 2711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.372 - 2.362. Which is the biggest value? (a) k (b) 0.4 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 430, 434?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 99 = -11*f. List the prime factors of f - (0 - 4)*-1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -1817760.\nAnswer: -1817759.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/168 - 13*w**6\/120 + 33*w**5\/80 - 31*w**4\/48 + 5*w**3\/12 - 9*w - 77. Factor t(a).\nAnswer: a*(a - 10)*(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + -3222?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247551 and 362691?\nAnswer: 15595713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-334)\/1670*(30\/(-25))\/(4\/(-10)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -33. Sort 0.2, 0, u, -1 in increasing order.\nAnswer: -1, 0, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**3 + r**2 - 1. Let h be 42\/(-35) + (-1)\/(-5). Let b be x(h). Suppose 2*f + f = b. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034374 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 79*g. Let m(f) = 11*f**2 + 2*f. Let t be m(-1). Let b(x) = 0*x**2 + t*x**2 - 11*x**2. What is c(b(h))?\nAnswer: -158*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -11 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 277 - 345 = 0. What is the remainder when 47 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195971 is divided by 39115.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22937.9757 and 0.1.\nAnswer: 22938.0757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1021 - 50. Suppose 6*q + 149 = z. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/11*(-550)\/250*(-1)\/(-285)*25?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4703583, 9407176, 14110771, 18814368, 23517967, 28221568?\nAnswer: 32925171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 44*t + 45*t - 10, 3*p = -5*t + 28. Which is the smallest value? (a) 0.5 (b) p (c) -1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 427509 and 1567533?\nAnswer: 4702599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let x(k) = 3*k - 1. Let g = -972 - -970. Calculate g*s(u) - 3*x(u).\nAnswer: -5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*i**2*z - 1015*d**2*i**2 + 5*d**2 + 34*d*i*z + 2*i**2*z**2 - i*z**2 wrt i?\nAnswer: -2*d**2*z - 2030*d**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t**4 - 2*t + (2*t**2 + 7*t**2 - 3*t**2)*(t**2 - 3*t**2 + 0*t**2) - 2*t**2 - 2*t**4 + 2*t**2.\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 24.41467ug?\nAnswer: 0.02441467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -529 + 533. Suppose -4 + 2 = -j, -n = -3*i - 2*j. What is the second biggest value in 4, i, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 8473*a + 2292*a - 5640*a to the form f*a + t and give f.\nAnswer: 5125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1058*y**3 - 535*y**3 - 235*y**3.\nAnswer: -1828*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*m**3 - 1476*m**2 + 1476*m**2 + 83*m**3.\nAnswer: -970*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1491704?\nAnswer: 22375560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 48 = 4*i + 262, 71 = n + i. Suppose -h + n = -25. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -10 - (0 + -2). Let j = -5 - h. Suppose -8*t - 3*t + 55 = 0. Put t, j, 2 in decreasing order.\nAnswer: t, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*5 + sqrt(5) - (-3 + sqrt(5) + -1))**2.\nAnswer: 80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -49.\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -62 + -7 + -4 + 15 + 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*a, -1153*k + 4*a = -1152*k - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:16 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 728*k - 726*k - 2 + 2. Let t(b) be the third derivative of -b**4\/24 + b**2. Let o(l) = -8*l. Let m(y) = 2*o(y) - 24*t(y). Determine z(m(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 114497*m - 114495*m - 26, 7*a + 20*m - 170 = 2*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 10*x**2 - 5*x + 9. Let a be y(-5). Let w = 379 - a. Calculate the greatest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -8*j - 9. Let d(y) = y + 10. Give d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48b005 (base 16) in base 2?\nAnswer: 10010001011000000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122278.\nAnswer: 2, 13, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410199 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 28 (b) 0.4 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 9 - 3, -2*i - 8 = 5*w. Suppose 4*d = 4 + 4. Let k = d - -3. Are k and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8*-3)\/(-2))\/((-2502)\/4170)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = v - 11 - 6, 5*r = -5*v - 35. Let h = 6 + v. Put h, -9, 1 in decreasing order.\nAnswer: h, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tggh when four letters picked without replacement from ohtohohhioiitigggttg?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -229\/3413?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + w + 1. Determine r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 3*z**5\/20 - 23*z**4\/12 + 17*z**3\/6 - 19*z**2\/2 + 3237*z. Give r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/256 (b) 0.4 (c) -2\/7509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 19 = 4. Let f = 2.5325 - -0.0475. Let k = f - 2.88. Which is the second biggest value? (a) h (b) -3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**44\/(i*i*i**(-5\/4)))\/(i*i\/((i*i**(-2\/5))\/i))**(-1\/10) assuming i is positive.\nAnswer: i**(4349\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1501 and 0.423?\nAnswer: 634.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:23 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -675290 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z**2 + 6*z**4 - 80*z**2 + 37*z**2 + z**3 - 7*z in the form m + g*z**3 + r*z**2 + i*z**4 + t*z and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 10*o**2 + 5.\nAnswer: 5*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - 113. Which is bigger: -205 or l?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -23, -0.4, -0.02439?\nAnswer: -0.02439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7*x - 136. Suppose 3*i = x + 2. Calculate the remainder when (-19)\/(3*(-5)\/45) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**3 - 8480*o**2 - 3*o - 197970 wrt o.\nAnswer: -15*o**2 - 16960*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 477973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + 6*k + 5. Let c(i) = -i**2 - i - 1. Let s(w) = 20*c(w) + 4*v(w). Find d, given that s(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455 by 7.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 11 = 151. List the prime factors of 11*i*11\/(66\/(-4)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)\/m**(2\/3))**(-17)*(m**(4\/9)\/(m\/m**(1\/3)*m))\/(m*m**(-1\/4))**(1\/4) assuming m is positive.\nAnswer: m**(23461\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 - 5*u**2 + 19*u - 7815. Let x(i) = 22*i**3 + 21*i**2 - 76*i + 31246. Let v(b) = -9*p(b) - 2*x(b). Differentiate v(q) wrt q.\nAnswer: 3*q**2 + 6*q - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -97*a - 32*a + 298. Solve a*f = -3*q - 4, -5*q + 5*f - 4 = -9*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/50 and 33.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let m = -2 + h. Let t = -6 - -11. Which is the second smallest value? (a) m (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1806931 + -1806911. Suppose -r - 65\/4*p**3 + 95*p**2 - 115*p = 0. Calculate p.\nAnswer: -2\/13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -3*o - 10. Is 19 a factor of 112 + -1 + o - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 8:54 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256176 is divided by 542639.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28746298 - -3001876.\nAnswer: 31748174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 238, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.63487852 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 - 4*m**4 - 22*m**3 + 24*m**2 = 0?\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 17264*w = 7*b - 17269*w, 0 = 4*w - w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*sqrt(3) + 4 + 2.\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/10*55\/(-22). Which is the biggest value? (a) r (b) 1\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1295391666 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, c: 1, v: 1, q: 3, w: 2, r: 1}. Give prob of sequence qc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 9690?\nAnswer: 48450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 825 + -837. Let v be (1 - m\/(-9))\/((-5)\/780). Suppose 4*w = -6*c + 2*c + 228, 0 = 4*c + 3*w - 223. Is v at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 131*h + 109. Let r(n) = -20*n + 105. Let k be r(5). What is the units digit of i(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 36449 = -9841. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.002437969337 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by (-33)\/(-9)*(-180)\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 - 305.46. Let l = 5.88 + h. What is l rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4660 = -x - 781. Let p be 8\/36 - x\/18. Let g = p - 262. Calculate the common denominator of g and 85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r - 77*r = -135 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - a = -7094003, -2*b + 529327 = 4*a - 6564685. What is b rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34365*p**6 + 6787*p**2 + 2.\nAnswer: 4123800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 - 210. What is the closest to 1\/2 in b, -0.01, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) 1\/3 (c) -0.09 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 + s - 4. What is the remainder when (-8)\/28 - 88\/(-14) is divided by d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 7*n**2 - 10913 + 10913.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.384474 litres to millilitres.\nAnswer: 2384.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -87\/823664 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/37*(-2)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1052.85 - 1057.85. Let i = -0.8 - 0.2. Which is the smallest value? (a) z (b) i (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 2*q**2 - 2. Give t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + 2022?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -363 and 3.197?\nAnswer: -1160.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 1 + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 15 = 5*r, -2*p - p + 12 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r = -55 - 158 - 48 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 481.998828 - 482. What is b rounded to 5 decimal places?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0562 in 0, -0.4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 22*y - 5. Let j be t(22). Which is greater: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 5 - 19*t**3 + 255*t**3 - 6 - 10 - t**2.\nAnswer: 236*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 25 = 3*f. Let i be (-8)\/(-20) + (-3)\/f. Differentiate -5*v**2 + 7*v**2 + 0*v + i + 0*v with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 8. Let q = r - 4. Let f = q + 10. Solve 7 = -4*w + c - f, 2*c = -4*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*v - 6107, -11*v = -6*v + 2*i - 10155. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -104 - 6*7\/(-21). Let o = -99 - v. Suppose 5*b + o = 3*t, 9*b - 13*b = 2*t - 38. Solve t = -5*l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 9*g + 28. Let c = 325 + -318. Calculate l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248.132 + 256.3. Round u to 1 decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/7, 7\/4, -3, 3 in decreasing order.\nAnswer: 3, 7\/4, 0, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -225 or -226?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.7 + -7. Let v = 0.86 + -0.96. Let w = v + j. Which is the biggest value? (a) 2 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(2*l**2 - 2*l + 10 - 10).\nAnswer: -6*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-228))\/((-2)\/2*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 12) in base 16?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1)**2*-3 + 3 + sqrt(5)*1.\nAnswer: -12 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -11. Let z = -14 - d. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 10. Let r be j(-11). Let t = 22 - 9. Suppose 2 = 2*p, 5*p + r - t = -n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-270)\/20)\/((-2)\/68 + 0). Let p = y + -236. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 9) in base 2?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 13. Let p = o + 9. Suppose 3*w - 2*b - 6 = p, -1 = -4*w + b + 2. Solve w = -6*a + 2*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -740, 477\/7 in descending order.\nAnswer: 477\/7, 1, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22 and -12\/19.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 < 13004\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2 - 3) + 2 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/(n**(-2\/87)*n)*n)))\/n**44 assuming n is positive.\nAnswer: n**(-3652\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*n**3 - 211*n**3 - n**2 + 2 + 429*n**3 in the form z*n**3 + i*n**2 + u + r*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35051*y + 35742*y + 38696 = 0 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b9 (base 16) in base 10?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + -4 + sqrt(208) + 1 + (-6*sqrt(208)*-5 + sqrt(208) - sqrt(208)))**2.\nAnswer: -256*sqrt(13) + 212993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 86*c - 97*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -14*f + 3*r - 1797, 0 = 2*f + 3*r - 1197. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12214445 * -0.2\nAnswer: -0.02442889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -74281770 less than 3?\nAnswer: 74281773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -917 - -5?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -561, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18772 and 41696944.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Let f be s\/(-3)*(-3)\/(-26). Suppose -2*r - 3*w + 2 = -3*r, 0 = 4*r + w - 5. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-5) + (-6)\/(-30). Calculate the remainder when 41*1 + 6 + n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -3 + 5 + (1 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. What is the common denominator of (-1)\/(-2) - m\/(-22) and 34\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947898907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14678536.\nAnswer: 2, 563, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7)*1\/(-4). Let t = 2\/7 + d. Let x = -2.5958 - -2.3958. Sort x, t, 0.5.\nAnswer: x, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (27 - (-16 - -55))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(950) - (sqrt(38) + sqrt(608)*-4))\/(3*sqrt(3200)).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/14, 0.2, -1, 1, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4616463769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36311909.\nAnswer: 43, 844463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2869482 - 2870476 = -71*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/6 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128) + 0)*-2 + (sqrt(128) - (2 + sqrt(128) + 0)))**2 + 4 + (2*sqrt(22)*-2)\/((sqrt(11) + (sqrt(11) + sqrt(44) - sqrt(11)))*-3).\nAnswer: 868*sqrt(2)\/9 + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.86572 and 110457.6?\nAnswer: 110458.46572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -56. Suppose 0 = 3*z + 19 - a. Let p = -111 - -155. Solve 5*y = -2*u - 15, 2*y + p = 4*u + z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f**2 - 23*f**2 - 2*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 10*s**2 - 12*s - 7. Let v be c(-5). Let t be (-16)\/v - (-64)\/36. Calculate the highest common factor of t and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35, -3, -5.\nAnswer: -35, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*q - 172*q = -1. Let u be 35\/5 - q\/1. Solve 0 = -a - k + u, -20 + 5 = -3*a - 2*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277891*g**3 + 1 - 138911*g**3 - 1 - 138933*g**3.\nAnswer: 47*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1\/901 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 7, g: 4}. Give prob of sequence gc.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16958 - 59?\nAnswer: -169b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59244001 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 121*q**4 + 5903*q**3 - 21999*q**2 + 16218*q = 0. What is q?\nAnswer: -159, 0, 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 46*b + 187. Let s be v(-4). Solve -c - s = 0, -2*c - c - 1 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -2.32. Let l = 15 - 18. What is the smallest value in l, d, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1.8, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 33. Let t be 4\/22 - 2\/o. Suppose -2*a + 5*r = 15010, t*r = -4*a + 2*r - 30004. What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 4*a**3 - 4 + 2 - 3*a**2 + a**2 in the form w + f*a + m*a**3 + u*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 - 88*r**3 + 268*r**2 + 360*r = 0. What is r?\nAnswer: -1, 0, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/16)\/(55\/40). Is z > -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*q**2 - q**4 - q**4 + 154*q**2)*(-3 + 0 + 1 + (-4 + 3 + 0)*(0 + 3 - 4) + 1 - 1 + 1 - 2 - 1 + 19).\nAnswer: -32*q**4 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 322 + 77 = 0. Suppose i*z - 18*z = -3740. Which is smaller: z or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/108 and 29\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 2\/(0 + -2). Let l(f) = -4*f + 2. Let z(c) = -15*c + 7. Let p(o) = w*z(o) - 22*l(o). Find the first derivative of p(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and 19295\/397 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1644744 or -1644747?\nAnswer: -1644747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337615*h**4 - 13*h**2 - 15405*h.\nAnswer: -8102760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224189 is divided by 628?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 317*n - 315*n - 2*w - 19934, -3*w = 9. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 1160*r**2 + 39420*r + 68. Calculate t(-33).\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-1))\/(213\/(-213)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006088 to 6 dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2318742 micrometers?\nAnswer: 0.0002318742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1)\/(-2) + -7. Let u be (8\/p)\/((-4)\/6). Suppose -u*h = -4*r - 14, r = -h - r - 1. What is the lowest common multiple of h and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401280 divided by -19\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481353 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15786 = 6*g - 5292. Let w be 2 - ((4 - 3) + g). What is w rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166195 and 40.\nAnswer: 1329560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12442*l**2 - 9*l - 109?\nAnswer: 24884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 122 in decreasing order.\nAnswer: 122, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -959832.508 + -169693\nAnswer: -1129525.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -361*j - 12. What is the hundreds digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = 6. Let o(k) = k**2 + 3*k + 3. Let y be o(h). Solve -y = -3*a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733473, 1466957, 2200439, 2933919, 3667397, 4400873?\nAnswer: 5134347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = j - 3*j + 1849994, 0 = 4*j + 12. Round t to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 14. Let c = -13 + z. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*x - 629*x = 5432. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35338, 35352, 35366, 35380, 35394?\nAnswer: 35408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 13. Let n(l) = 2*l + 7. Let w(a) = -3*d(a) + 5*n(a). Let k be w(5). Let c(s) = 4*s**2 + 8*s**3 + 1 + 0 - 5*s**2. Give c(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 711844?\nAnswer: 71184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6278 and 40.\nAnswer: 125560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:43 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149306131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/5)\/(2\/(-3730)). Suppose -x = -3*w - 30547. Let t = 98245\/12 + w. Calculate the common denominator of 101\/2 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*l = 49, 4*y - 587*l = 2*y - 582*l - 26 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 722625.1l in millilitres?\nAnswer: 722625100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0189999929 rounded to five decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.038 - -20.438. What is n rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -284.25 in -0.07, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29069 (base 12) in base 9?\nAnswer: 86300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = 537 - 550 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*n - 12. What is the greatest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92183935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, -5, -2 in ascending order.\nAnswer: -29, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 3*u - 16*j + 26, 3*j - 25 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1)*h**(-2\/9))\/(h**(-3\/4)\/((h\/(h*h\/((h\/(h**(-1\/3)\/h))\/h)*h))\/h)) assuming h is positive.\nAnswer: h**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -15.96 in increasing order.\nAnswer: -15.96, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 - (-3 + -2). Suppose o*t - 4*m - 17 = 0, -4*t - 6*m - 8 = -2*m. Sort 3, -1, t in increasing order.\nAnswer: -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 15*s**3 - 2*s**2 + 2*s + s.\nAnswer: 15*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-4))\/(-1 + 2). Solve -2*t + 14 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9902 (base 14) to base 5\nAnswer: 1321322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 14*z**2 + 18*z**2 + (4*z - 3*z + z)*(5*z - 6*z + 4*z) - 2*z**2 + 2*z**2 + 2*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 17*b**2 - 11*b + 17. Let a be q(-17). Suppose 4*m - 1544 = -a. Let h = m - 575. What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 697 and 1726469.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1601346 and -61\/216715492?\nAnswer: 650146476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3\/((-36)\/(-28))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100 + 10000?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:16 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(((-108)\/(-63))\/(-12))\/(2\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-4))\/(7\/(-28)). Which is bigger: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.41167 to two dps.\nAnswer: 5.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38484, -77026, -115616, -154254, -192940?\n\"Answer: -24*g**2 - 38470*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*r - 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 356, 41, 5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgl when three letters picked without replacement from llghpgpgpgpzhp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-4 + sqrt(95) - sqrt(95))\/(-2*sqrt(125) + sqrt(5)) + (-1*sqrt(133)*4)\/(sqrt(35)\/sqrt(80)).\nAnswer: -152*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x**2 + 12*x**2 - 6*x**2. Let t(h) = -28*h. Calculate b(t(j)).\nAnswer: 1568*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70031837, -140063674, -210095511?\nAnswer: -280127348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2399544 and -2399542 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7. Let z(j) = 13*j + 35. Let d(y) = 5*a(y) - z(y). Let i(u) = 20*u**2. Give d(i(q)).\nAnswer: -260*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 2*y + y**2 - 2*y**4 + 3*y**3 - 4 + 5*y**2 + 3*y**3 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10002 + 68839. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000455 to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhpkphpipphvwvih. Give prob of picking 1 k and 1 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -75, 2, 3 in increasing order.\nAnswer: -75, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 48592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0895324 and -0.5.\nAnswer: -0.0447662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 6. Let u(h) be the first derivative of -h**2 + 5*h + 1. Let l(y) = 3*t(y) + 4*u(y). What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 182*d + 7. What is the remainder when z(1) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68\/7, 1\/2, -1 in decreasing order.\nAnswer: 68\/7, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12402131 + 1?\nAnswer: -12402130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 941855 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 40*s + 174 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2392 divided by 6.\nAnswer: 1196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + s**2 - 2*s. Let y(p) be the third derivative of p**6\/20 - 11*p**5\/60 - p**4\/12 + 2*p**3\/3 + 3*p**2. Let l(w) = -3*c(w) - y(w). Solve l(u) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13216.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l + 40*l - 78*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20826, -41624, -62422, -83220, -104018, -124816?\nAnswer: -145614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4896 and 583920.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (19 - (35 + -54))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:23 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 336622, 673225, 1009828, 1346431, 1683034?\n\"Answer: 336603*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2716\/27299 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**5 + 6906*b**3 - 83527*b**2?\nAnswer: -300*b**2 + 41436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 361?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/3 + (-1)\/3. Suppose 0 = 2*y - 6, 0 = k*i - 3*i + 3*y - 19. Find the second derivative of 0*l + 2*l**4 + i*l + 0*l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, 4 in ascending order.\nAnswer: -0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**6*n**(25\/2)*n assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 1652?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddjgvtdtdddggdd. Give prob of sequence dtdg.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 37*z**2 - 765*z - 2445. Give g(23).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from {i: 2, u: 3, x: 6, z: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6) - (-18)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 65. Is n equal to -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*j + 7*k - 10*k, 2*k = -j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*b + 1, 4 - 3 = 3*t - 2*b. Is 148\/8*(9 + t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.2 - 23.3. Let u = -0.42 + 0.72. Sort u, c, -0.2 in descending order.\nAnswer: u, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 - 2*j**5\/15 - 5*j**4\/6 + 7*j**3\/2 - 28*j**2. Let n be l(10). Solve 9 - n = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*0.18929.\nAnswer: 14.57533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366 - -31. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 3*u - 5*l + l, l - 3*l - 180 = 77*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 - 1 - 1 + 4 + (-5 + 4 + 0)*(-1 + 4 - 1))*(-u - 2*u + 0*u + (-2 - u + 2)*(-1 + 3 - 3)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43977 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + m = -3*m + 20, -3*v = 2*m + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149.447 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -264*p + 156. Let k(v) = -92*v + 53. Let l(x) = -14*k(x) + 5*y(x). Give l(4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783336 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43998\/13 + -5190477\/1534. Calculate the common denominator of y and 71\/2.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 - 2*b + 3. Let t be s(-3). Suppose t = -90*p + 89*p. Solve p*r = -9*r - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 24 + -9 + -12 + -25 + 3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79461.98 weeks in hours?\nAnswer: 13349612.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2314052.8 to the nearest ten thousand.\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47 - 5*k**3 - 11*k + 0*k**3 + 13*k - 23 wrt k?\nAnswer: -15*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68566457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2 - 40. Let s = p + 62. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-204) - (2\/(33552\/(-68518)) + 4). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271 + 272. Let i = 20\/13 - 139\/65. Which is the closest to 0? (a) i (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 10. Suppose 0 = j*o - o. Let w(i) = i**3 + o*i**3 - 2*i**3 + 5*i**2 - 3*i - 1. Determine w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -558*q**3 - 13*q**2 - 36*q + 39. Is k(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 91687716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:41 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1.89 (c) 4\/3 (d) 3 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 152. Let u be -2*z\/56*-3. What is the third biggest value in u, 4, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 686*h + 4264. Determine k(-7).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/20)\/x*x\/x**13 assuming x is positive.\nAnswer: x**(-241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**4 - 3103344*r**3 - 4278*r**2 + 6 wrt r?\nAnswer: -96*r - 18620064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffxfffxfxf. What is prob of sequence ffxx?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2997\/11764 - 14\/2941. Let t = -43 - -43.58. Let g = t - -0.02. Which is the nearest to 0.1? (a) n (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23))**(2\/43) assuming o is positive.\nAnswer: o**(4\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29987 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584.3345 rounded to the nearest ten?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12851 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34216646?\nAnswer: 2, 17108323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-75) - 10\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 55*a - 274. Let c(r) = r. Let f(x) = -6*c(x) - u(x). Let t be f(54). Solve -4*k = -w - t*w + 9, w - 4 = 3*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 + 4*k**2 - 5*k - 41. Suppose 10*w + 232 - 192 = 0. Calculate the remainder when x(w) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.062, -40 in descending order.\nAnswer: 1\/2, 0.062, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(-19))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14979 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 0.02767.\nAnswer: 0.019369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/3, 0.3, -1\/11, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-3) + 0\/(-1). Suppose 0 = -2*p - r - 6, -5*p = 12*r - 11*r + 3. Let z = 5.3 - -0.7. Which is the nearest to p? (a) z (b) o (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n. Let c be (-2051576)\/21032 - (-6)\/11. Sort -4, c, n, 2\/3 in decreasing order.\nAnswer: 2\/3, n, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25837917 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**3 - 94*c**2 - 39*c - 686. What is the ten thousands digit of n(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795, 1742, 2689, 3636, 4583?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 189*v**2 - 80*v**2 - 103*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1253 - -3697\/3. Let q = -188\/9 - p. Let h(y) = -y**3 + 4*y**2 - y + 5. Let d be h(4). Do q and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 9)*(-72*p + 72*p + 15*p**2).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 13*d - 19. Calculate i(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 144728?\nAnswer: -144727.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1896 and 30564?\nAnswer: 4829112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.1429399 to 3 dps.\nAnswer: 20.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0*x + 1 = x, 0 = -5*x - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384387)\/(-233647))\/((-34)\/(-4))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 362608*q + 1205475 wrt q?\nAnswer: 362608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 7*h**6\/30 + 2*h**5\/15 - 6*h**2 + h. Let z(y) be the first derivative of r(y). Factor z(f).\nAnswer: 4*f**2*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:29 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + 2*sqrt(432) + -5 + (sqrt(432) - (0 + sqrt(432) + sqrt(432))) + sqrt(432) + -6*(sqrt(432) - (sqrt(432) + 1 + 2))*5)**2 + -2.\nAnswer: 3984*sqrt(3) + 8615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkiiikiiiikiiiikiii. What is prob of sequence iki?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, a: 3, f: 4}. What is prob of picking 1 f, 1 a, and 2 v?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34662423, -69324848, -103987273, -138649698?\n\"Answer: -34662425*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 281, 3\/2, -2\/5, 14\/9?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 - a**2 + (-a + 4*a - a)*(3*a + 0*a - 2*a) - 1 + 1 + a**2 - 2*a**2 + 2*a - 2*a)*(0 + 0 - 2).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4012103*a*f*u**3 - 14*a*u**2 + 2*f*u**2 + 108*u**2 wrt u?\nAnswer: -24072618*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/56)\/(((-30)\/320)\/((-113)\/(-2712)))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 472 = 19*r - 53*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -0.54, -1.1?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -575, -1145, -1715, -2285, -2855?\n\"Answer: -570*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337748.\nAnswer: 2, 84437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -91.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 21 = u - 18, -3*u - 36*u - 36*u + 383 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 495*n - 17816. Calculate q(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-2\/11))**(-26)\/((o**(-2))**29)**(-49) assuming o is positive.\nAnswer: o**(-31210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-2 - -12). Suppose 4*p - l*m + 3*m = -36, 4*p + 64 = -5*m. Let h = -15 - p. Let t(n) = -n**3 - 3*n**2 + 5*n + 3. Calculate t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/2)\/((-585)\/260))\/5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 2*g**5 - 2*g**5 - 5*g**5 - 3*g**5 + 2*g**5 + (-1 + 1 + g**3)*(0 + 0 - 2*g**2).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.277686 and -138.\nAnswer: 38.320668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8254779.\nAnswer: 3, 13, 211661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*q - 749 + 860, 4*b + 111 = 3*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, l: 5}. Give prob of sequence uu.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -65*u**2. Let q(h) = -7*h**2. What is q(j(a))?\nAnswer: -29575*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*p - 5*p + b, -5*b - 27 = p. Let o = 6 + -1. Let m be (-8 - -1) + 2 + (-8)\/((-48)\/30). Put 3, p, m, o in decreasing order.\nAnswer: o, 3, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 3, 6, -2 in decreasing order.\nAnswer: 9, 6, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2289490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151868?\nAnswer: 2, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20702283 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*m**3*y**2*z - 34*m**3*y*z + 5*m**2*y*z + 12*m**2 - m*y*z + 10*y**2 + 2*y*z wrt m.\nAnswer: 258*y**2*z - 204*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*(1 + 1 - 4)*(-26*c + 118*c + 1312 - 1326) to h*c + s and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9186? (a) -0.5 (b) -938 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -722 times -0.376?\nAnswer: 271.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11618 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.58 and 0.5.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124190182*a**3 + 46324142*a wrt a?\nAnswer: -745141092*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(3\/2)*i*i*i**4)**(-4\/13) assuming i is positive.\nAnswer: i**(-38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z*z**(2\/7)\/z)\/z*z))**(-42)\/(z**(-1)*z)**35 assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -184*j**2. Let p(a) = 334445*a. What is p(f(u))?\nAnswer: -61537880*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*b + 6 + 6, 2*i - b = 6. Suppose -3*v - g = g - 20, v + i*g = 2. Calculate the least common multiple of v and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27169, -1\/6, 4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 405, 411, 417?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 9, 0, 25, -9\/2 in descending order.\nAnswer: 25, 9, 0, -1, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15843 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*z + 3*z + 8. Solve -z*i = -4*k + 22, -4*k + 8 = 5*i - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.664 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*s + 4*w, -2*w = -5*s + 2*w - 7. Let g(u) = u**2 + 6*u - 28. Let f be g(-9). Let t be 0\/(-3 - 1 - f). Sort t, 4, s, 5.\nAnswer: s, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0496063293 rounded to 5 decimal places?\nAnswer: 0.04961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.5, 7, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 117, 127, 141, 159, 181, 207?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 + 2*w. Let x be c(2). Let y be (-4)\/(-8) + 5\/x. What is the nearest to y in -5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/7, 5, -569, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 219 in ascending order.\nAnswer: 1, 8, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - w**2 + 0*w + (0 + 0 - 3*w**2)*(1 - 1 + 1) - 5 - 8 + 8 - 3*w**2 in the form q*w + d*w**2 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/((p\/p**5)\/p))\/((p**12\/p)\/p**(-1\/9)))**(-2\/33) assuming p is positive.\nAnswer: p**(20\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose -3*v + 14 = -10. Suppose v = 6*w - g*w. Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - 1 + 1)*((2 - 1 + 2)*(-3 + 18 - 2)*(101 - 44 - 44) + 0 + 1 + 1 + (3 - 2 - 3)*(4 - 3 - 2)) in the form h + m*f**2 + o*f and give m.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -6, -3, 2, -77, 0 in increasing order.\nAnswer: -123, -77, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -20850400 to the nearest 100000.\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 + f**4 - 2*f**2 - f + 82 - 20*f + 5*f**3 - 3*f + 80 in the form s*f**3 + a*f**2 + l + g*f**4 + n*f and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6203858 (base 10) to base 13.\nAnswer: -1392a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01183 + 0.59553. What is w rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**3 - 7*c - 7. Let s be 4*6\/(-4) + 4 + (-3 - -1). Let m(f) = 3*f**3 - 4*f - 4. What is s*v(t) + 7*m(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 7.3. Let f = a + -7. Let b = 4 - f. What is the nearest to 2\/3 in -0.2, -4, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -129, 16 in ascending order.\nAnswer: -129, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5597 divided by 48836?\nAnswer: -193\/1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 2*k + 2. Let l = 5 + -5. Let q be g(l). Suppose 8*m = -q + 114. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let s(v) = 6*v - 3. Let j be s(d). Suppose -8*b + j*b = 39. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 91 = 11*d. What is the remainder when 88 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -17*b + 3. Let n be w(4). Let s be 4\/(-84)*6 - 900\/(-14). Let d = n + s. Let t(k) = -4*k + 1. Calculate t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6042 + 18399. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 181\/15. Let m be (-12 + 5 - -3)\/(10\/(-1)). What is the second biggest value in q, m, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1669*v**4 - 5*v**2 + 10 wrt v?\nAnswer: -40056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17801319 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/10 - 47*y**3\/10 - 27*y**2\/2 - 133*y\/10 - 22\/5 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3848*m - 2420*m + 0 + 4.\nAnswer: 1428*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13331419 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1756 in 5, 1\/11, 80?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4311234 (base 5) to base 3.\nAnswer: -10200201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000488435807 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 7, v: 1, q: 1, x: 6}. Give prob of picking 1 v, 1 x, and 2 s.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-8)\/36)*-4. What is the remainder when (-834)\/s + 2\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h - 3 + 2)*((2*h - 2 + 2)*(-2 + 0 + 3) - 5*h + 2*h - h).\nAnswer: 2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2997 + 153. What are the prime factors of z?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48932 = 132*z - 132884. Calculate the least common multiple of 848 and z.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 33*w - 32*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1519*h**2 + 328101*h - 640. Determine w(-216).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 = 7. Let q(b) = 2*b**2 - 2*b. Let g be q(c). Is 27 a factor of (-128)\/(-2) - 0*(-3)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*p - 61. Let v be (-190)\/20 - (-3)\/(-2). Let z = v + p. Is -1\/2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 142. Let c(p) = 2*p**2 - 5*p + 5. Let m be c(2). Suppose 2*x + h = 2*i + m*i, 5*i + x - 44 = 0. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196689680 rounded to the nearest one million?\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 17903968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3817855\/1207908 - 1657\/522. Calculate the common denominator of n and -49\/20.\nAnswer: 23140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 5*y + 8. Give d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 18\/(-14). Let y(u) = 2*u**2 + 2*u - 11. Let z(o) = -o**3 - 2*o**2 - 2*o + 17. Let s(b) = -3*y(b) - 2*z(b). What is s(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 0*a - 18 + 11. Let j be u(6). Suppose j*p + 49 = 3*y, 4*p + 15 = -5. What is the least common multiple of 2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 12*x - x**3 + 19*x - 29*x + 393.\nAnswer: 2*x**3 + 2*x + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:26 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*m**2 + 2*h**3*m*x + 12404*h**3 - 33*h**2*m**2 - h**2*x + h*m**2*x + 6*m**2*x + 2*m**2 - x wrt h?\nAnswer: 6*m**2 + 12*m*x + 74424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1123402402?\nAnswer: 1123402404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224 + -107. Suppose 2*s + s + 5*g = -166, 2*s - 3*g = -t. Which is greater: -55 or s?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2\/2 + 54*i + 2. Let d be s(0). Let z = 1 - -5. What is the greatest common divisor of d and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930962557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5 - 0. Let l = 122 - 8. Let m = l - 457\/4. What is the nearest to -3 in -0.1, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.546 or 0.0935569?\nAnswer: 0.546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20483163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from xqrxqxqrxrx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23214 - -650059\/28. Let o = -37\/14 + j. Sort o, -13, -0.3 in decreasing order.\nAnswer: o, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 - -1232?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 - 49*o - 98. Let x(p) = -3*p**2 + 24*p + 48. Let a(b) = 2*l(b) + 5*x(b). Let r be a(-2). Solve 0 = 3*c, -m + c + r = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 41 + 75 + 3*l**3 - 236*l + 172*l**2 - l**3 - 48*l**2 - 6*l**3 = 0. What is l?\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133525290167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 461*k**2 + 753*k - 202. Let w(j) = -j. What is w(d(o))?\nAnswer: -461*o**2 - 753*o + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44959 - 11727 = -14*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.1. Let x = 6473 + -6461. What is the closest to x in 3\/5, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54009719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7444, -15598, -23752, -31906, -40060, -48214?\n\"Answer: -8154*y + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1178 + 497 + 4*j**2 + 675 - 3*j**2. Let v be n(0). Suppose 5*z - v = -0*z - 3*w, -4*w - 914 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 631435, 2525805, 5683107, 10103341, 15786507?\n\"Answer: 631466*h**2 - 28*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76805683.\nAnswer: 1163, 66041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6432 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 8*o**3 - 33*o**3 + 8*o**3 + 7*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (43 - (11 + -4))\/2. Is i <= 113\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211 + -2102?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(3*sqrt(189)\/sqrt(3))**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -53*c. Suppose c = -4*u - q + 389, 4*u - 3*q - 192 - 209 = 0. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54832599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-436)\/(-18) + 8\/(-36). Let u(a) = 4*a - 3*a + 13 + 0*a. Let i be u(-10). What is the greatest common divisor of i and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -3*b - 2*s + 6, 2*s = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + z + 24 = 11*v, -4*v + 56 = -4*z. Solve -8*r - v = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 362427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c**2 - 4\/3*c - 2.\nAnswer: 2*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + 11*y - 3 - 16*y)*(0 + 0 + 2)*(-3 + 3*y + 3).\nAnswer: 18*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 73057 = 73050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 738*d**3.\nAnswer: 738*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 5*r, 4*d + 12 = -2*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2. Let l(v) = -9*v. Calculate h(l(j)).\nAnswer: -405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 21. Let d be s(12). Let k be ((-7)\/d)\/(16\/32). Factor -8\/3*f - 8\/9 + k*f**2.\nAnswer: 2*(f - 2)*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7219344 divided by 300806?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdmddvkmmvd. Give prob of picking 2 d, 1 k, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5850, -5, 2 in descending order.\nAnswer: 2, -5, -5850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 12, 5, -76, 1, 10 in descending order.\nAnswer: 12, 10, 5, 2, 1, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2861 - 2523. Is i a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1169*h**3*t - h*t**2 + 2*h*t + 13371*t**2 wrt h?\nAnswer: -3507*h**2*t - t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 + 5. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -1. Let x be (-1 - 1)\/(h\/6). Suppose x*t = -t + 60. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, e: 7}. Give prob of sequence gegg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 30*d - 26. Let h be r(1). Suppose h = -2*f, 2*n = 5*n + f - 7. Solve -s + n = 3*g - g, g - 5*s = -15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -496.304425?\nAnswer: -499.304425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvmroormxrxqr. Give prob of picking 1 x and 1 r.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 943217 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426757 is divided by 2032.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 203*t**2 + 13*t + 5. What are the prime factors of j(2)?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36226, 72316, 108406, 144496, 180586?\nAnswer: 216676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.04732313 plus 3?\nAnswer: 0.95267687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a810 (base 12) to base 11.\nAnswer: 130086","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161 + a3?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**3 - 192*w**2 - w - 37. Let v be m(-32). Let n(y) = -y**3 - 4*y**2 - 5*y + 5. Let z(f) = -2*f**3 - 5*f**2 - 6*f + 6. Give v*n(g) + 4*z(g).\nAnswer: -3*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 13*d**2\/4 - 2*d + 7\/4.\nAnswer: (d - 7)*(d + 1)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.2, 4, -3, 2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u = -62*u - 4*i + 177103, 4*u - 141748 = 5*i. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -15. Let m(c) = -c - 5. Let d be m(4). Does r = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -9. Let g be 4\/2 + (7 - -9). Suppose v = 2*v - g. What is the remainder when w is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 12:23 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013303123 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2003365 or -2003366?\nAnswer: -2003366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -190*n + 34. What is the units digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595 = -49*n + 11*n + 1089 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -182*c**2 + c**3 - 25*c - 50 + 92*c**2 + 64*c**2. Calculate the smallest common multiple of 139 and f(27).\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709818058 is divided by 1043?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.120089 and 5.\nAnswer: 4.879911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-28)*-3)\/((-594)\/693)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6455*c - 12975*c + 6533*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:27 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1185\/17 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f)*(1 + 1 + 2)*((-1 + 0 + 2)*(0*f - f + 0*f) + 2 - 2*f - 2 + 4*f - 4*f - 4*f).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9109 + 1995. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 3. Let m be b(4). Suppose -4*p + m*p = 4*q - 15, -2*p - 25 = -3*q. Put -1\/3, 0.5, p in decreasing order.\nAnswer: 0.5, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 15*n - 14. Let g(u) = -13*u**2 - 61*u - 57. Let p(a) = -2*g(a) + 9*s(a). Is 12 a factor of p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5220)\/1450*1\/(-4)*-5.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 4*i + i + 5 + i. Let f(c) = c + 1. Let s(z) = -6*f(z) + g(z). What is s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-4)\/8*0. Suppose -q = d + 2 - 5, 0 = b*q + d - 7. Let y = -2 - -10. What is the lowest common multiple of q and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-28) - (-368527)\/28. Let p = g + -13156. Find the common denominator of ((-387)\/(-30))\/((-18)\/15) and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 28*x + 212. Let i be v(-5). Solve 11*n + 50 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = x - 4*z, 4*z = 4*x - 12. Solve -5*o = -2*y + 3, -2*y - x*o + 10 + 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 37 - 27. What is the closest to -0.1 in 1, d, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 4*a**2 - 2. Let v = -3 - 5. Let h = v + -2. Let s = 14 + h. What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 105.67 and 0.159.\nAnswer: 105.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 4*z + 1. Let s(g) = -2902*g**2 - 997*g - 5. Let q(h) = -5*a(h) - s(h). What is the second derivative of q(w) wrt w?\nAnswer: 5814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 37*x**2 - 17*x - 96. Let k be v(38). What is the greatest common factor of 270 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 19*g + 18208 = 0. Suppose -d - 5*o = -198, -475 = -5*d + 2*o + g. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5) + (16912\/(-420) - -42).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(6\/13))\/x)\/x**15 assuming x is positive.\nAnswer: x**(-189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564065?\nAnswer: 5, 37, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 98 = 27*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:32 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 313 + 338. Suppose b = -0*m - 2*m + d, 0 = 5*b + m - 438. Does 29 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 141 + a - 147 + 434 - 148 in the form n*a**2 + t*a + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 906976 divided by 226744\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3.1, 1.5, -50\/7, 2\/7?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 56*o - 212. What is y(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 4*g**2 + 6*g - 6. Let q(t) = -t**3 + 4*t**2 - 5*t + 5. Let y(w) = 6*q(w) + 5*x(w). Factor y(d).\nAnswer: 4*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.44 and 3\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5233 + 3\nAnswer: 3.5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 301266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1069596 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 6 = 0, -3*j + 15 = 3*w. Suppose j*b - 13 = -5. Suppose b*h + 0*h - 16 = 0. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18 = -2*r - 2*r, -4*p = -r - 14. Let s(z) = 4*z + 2. Let u(w) = -5*w - 2. What is r*s(a) - 5*u(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 4*q)*(2*q + 2*q - 2*q) - q**2 - 2*q**2 + 7*q**2 + 98 + 1833*q**2 - 210*q**2 - 98.\nAnswer: 1625*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 1196*q**2 - 4736*q - 4720 = 0.\nAnswer: -295, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0 + 0*g**2 - 1\/120*g**6 - 1\/3*g**3 + g + 1\/40*g**5 + 0*g**4. Let t(x) be the second derivative of s(x). Solve t(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263\/2 + -601\/4. Let u = -421\/12 - h. Let b = -16 - u. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 114\/113?\nAnswer: 114\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from xoooqoqaqqoaaqqxq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 3*n - n)*(9*n - 87*n + 15*n) to u*n + r + i*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19154 and 628.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54514944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 13 + 9 - 2 + 4 - 1 + (0 + 2 - 3)*(-3 + 2 - 1))*(4*b**3 + 4*b**3 - 6*b**3) - 2*b**3 - 4*b**3 + b**3.\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 886697150 divided by -8390?\nAnswer: -105685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -6)\/((-1)\/(-5)). Is ((-1912)\/m)\/1 + (-30)\/150 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 1293.2713.\nAnswer: 103.461704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7*i. Suppose 4*d = -3*z + 48 + 17, d + 3*z - 23 = i. Calculate the remainder when 55 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -n - 37. Factor -160 - 25*i**2 + 9*i**2 + 21*i + n*i - 34*i**2 + 32*i + 5*i**3.\nAnswer: 5*(i - 4)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269 = 109*n - 3667 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 35*f**4 - 1087*f**3 + 10162*f**2 - 3913*f. Let v(o) = 123*o**4 - 3804*o**3 + 35568*o**2 - 13698*o. Let h(s) = -18*m(s) + 5*v(s). Factor h(y).\nAnswer: -3*y*(y - 18)**2*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 + 3*u - 4. Suppose 55 - 6 = 7*b. Calculate the lowest common multiple of k(3) and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*v**2 + 28*v**2 - 11 - 4*v**2 + 11 - 37*v**2.\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/3 - 330410*d**3\/3 + 4549718032*d**2 - 231945426440*d\/3 + 218296602752\/3 = 0?\nAnswer: 1, 16, 82594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1011*s**2 - 2*s + 40096 wrt s.\nAnswer: 2022*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1778)\/(-4) - (-21)\/42. Suppose 3*o + 2*f = 481, f + 30 + m = 3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/15)))\/c)\/(c\/(c**(-1\/5)*c))*c*c\/((c**4\/c)\/c)*c*(c**(-4\/5)*c)\/c assuming c is positive.\nAnswer: c**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + 12012?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -12. Let r(b) = -5*b + 1. Let h(j) = -j. Let w(o) = u*h(o) - 2*r(o). Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r. Let c(d) = -14*d**2 - 4*d - 2. Calculate c(g) + 5*j(g).\nAnswer: -9*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-296)\/5*(-450)\/(-72)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 1860\/(-135))\/((-4)\/36*1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1092?\nAnswer: -108c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-12 - -9)) + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 3*r - 6*r)*(-4*r + 0 + 0)*(-r + r + r + (33 + 40 - 77)*(-r + 6*r - 4*r)) to f*r + l*r**3 + h + d*r**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6? (a) -0.8 (b) -0.2 (c) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -31*u + 265. What is g(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 735 + 579 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/12045?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3912 (b) 0 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 36) + -76 + -34?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h + 18 = 0. Suppose 6*n = -2*v + 2*n + 36, 12 = v - 4*n. What is the remainder when v is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (150\/(-35))\/10 - 60290\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 - -4.4. Let t be (-10)\/(-25) + (-9)\/(-15). Which is the closest to t? (a) 1 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(891)*-4 - (sqrt(891) - (sqrt(891) - (2 + sqrt(891))))*6)**2*6.\nAnswer: -2592*sqrt(11) + 22248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -502\/1645473 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28652290 = 2*g + 29747710. Round g to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqcqcdxkqhhx. Give prob of sequence dh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 141*a + 3088. Let f be z(-22). Which is greater: f or -167\/13?\nAnswer: -167\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19086 - -34211. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-25)\/(-20)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 228*j + 192. Calculate the remainder when 442 is divided by n(75).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 19136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 21*m**2 - 10*m - 5. What is g(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197\/(6 + 164\/(-28))?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let q(d) = 11*d + 1. Let w(t) = -4*f(t) - q(t). What is the tens digit of w(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o. Let j(k) = 2*k + 3. Let p(v) = -4*v - 7. Let s be (-1896)\/21 + -3*2\/(-21). Let i = s - -93. Let r(g) = i*p(g) + 7*j(g). Calculate r(t(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-1 + 2 - 2). Let q = 1891 - 1888. Solve t = -w, -i - 5*t = -q*i + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236654 + -2139587\/9. Let l = -1075 - p. Calculate the common denominator of l and 101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f**(-2\/33))*f*f*f)\/f*f**(6\/5)*f)**(9\/4) assuming f is positive.\nAnswer: f**(651\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -4 (b) 0.3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1050\/(-315))\/((-2)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*j**3 + 0 + 0 + 437*j**3 - 190*j**3.\nAnswer: 992*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19975 + -19938. What is the least common multiple of 629 and y?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (49\/(-21))\/((-42)\/1404). Let s(x) = 9*x**2 - 7*x + 5. Let o be s(5). What is the greatest common factor of u and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4969, -4966, -4977, -5008, -5065, -5154, -5281?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-23))\/(t*t**16\/t))\/(t**(26\/7)\/t**(-27)) assuming t is positive.\nAnswer: t**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -54 (c) 11\/92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*w - 68 = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3. Let b be i(1). Let k be b\/(-20)*-4 - 3. Let w be k - (3 + 18\/(-2)). Solve -3*g + 9 = 5*l, -5*g + 2*g + 9 = -w*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 908, 1362, 1816?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 27160*k + 54300.\nAnswer: 5*(k - 5430)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -98286 + -3?\nAnswer: -98289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4, -k - j = -2 - 3. Suppose -16 + 4 = -k*p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-355)\/25 + 1\/5. Let i be (-62)\/w + 44\/77. Suppose 2*r = -4*m + 558, -i*r + 118 - 556 = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 120 - 115 + 235 - 23*p. Let n(c) = -13*c. Give 5*d(r) - 8*n(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -1595?\nAnswer: -1594.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-5)*(-11 - 9). Calculate the highest common factor of 168 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 + 182 + (28 - 1) - 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by (-4)\/10*((-663)\/2 + -1).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1474, 5244, 11526, 20320, 31626, 45444?\n\"Answer: 1256*j**2 + 2*j + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 72*k.\nAnswer: -3*k*(k - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose -y = 4*a - 59. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 8 + 2 - 8 + (-3 + 0 + 4)*(1 + 2*r - 1) - 4*r + r + 2*r - 5*r + r + 2*r + (r + 2*r - 2*r)*(-2 + 5 - 1).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 (base 10) in base 11?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(6\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8969771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -16032.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-3)\/(-9)*140936. Suppose 3*q + 3*i = 209994, -k = -5*q - 4*i + 209056. Suppose q = 2*s - 3*s. Round s to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/(-8) + -59 + 40?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (4*12\/(-30))\/((-4)\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/34794061?\nAnswer: 9\/34794061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030407 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78585576 to the power of 1\/2, to the nearest integer?\nAnswer: 8865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 10*h + 9. Solve r - 4 = -2*f - 3*r, 3 = -3*f - h*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21)*(-3)\/(-22)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = 4*p + q, 0*q - 4*q = 0. Let o be (-968)\/(-48) + (3\/18)\/(-1). Calculate the highest common factor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*k - 3\/2*k**2 + 9.\nAnswer: -3*(k - 1)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4062 + -0.3918. Let g = -111 + 111. Is f equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 - 74. Suppose 0 = -0*b + 2*b + 2*q - 94, -5*q - 165 = -3*b. What is the greatest common factor of b and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2272\/(-1704))\/(((-15)\/(-24))\/1*(-4)\/(-120))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -203568 <= -371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.5 (c) -84.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8807*v + 202554. What is y(23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 34. Let y = d - 10. Suppose -4*m = -3*h - y - 52, -m = 3*h - 22. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488959 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47843147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 21, 2, -5, -28.\nAnswer: -35, -28, -5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/((-18)\/702*65)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*p**2 - 7*p - p**4 + 6*p - 5 - 13*p**2 + 3*p**3 to the form l*p**2 + h*p**4 + y + d*p + k*p**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*2*(-1)\/6. Suppose t*o + 21 = -3*i, 7*o - 3*o - i = -8. Let y = o - -4. Does y = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 921361687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1945 or 3136?\nAnswer: 3136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59064023 to the power of 1\/2, to the nearest integer?\nAnswer: 7685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/2*((-520)\/70 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.081? (a) -4\/3 (b) 4 (c) 0.5 (d) -0.2 (e) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2357 (base 12) in base 14?\nAnswer: -1627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989382 divided by -2.\nAnswer: 494691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 (base 6) in base 11?\nAnswer: -394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2010, -2490, -3436, -4848, -6726, -9070?\n\"Answer: -233*d**2 + 219*d - 1996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.276+-21872384\nAnswer: -21872383.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + 186. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 198, 0.9, -18.3?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 10*v + 12. Let u be c(-10). Let b be (9\/u)\/((-5)\/(-20)). What is the third derivative of 11*y**3 + y**2 - 11*y**b + 16*y**4 - 3*y**4 wrt y?\nAnswer: 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7718?\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57679 + -57740. Suppose -j + 4 = f, 2*f = -j - f + 6. Sort q, j, 0 in ascending order.\nAnswer: q, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -15\/274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + sqrt(720)\/sqrt(4) + sqrt(5).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2519, -5, 2 in descending order.\nAnswer: 2519, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 10004*g + 10006.\nAnswer: -2*(g - 5003)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281061 is divided by 222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 11.\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(272) + 0 - sqrt(272))**2 + 4)*4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -41 (b) -2\/5 (c) 2 (d) -3\/7 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:14 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 435697.5*4\nAnswer: 1742790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8455456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1155 by 231.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*m + 6 = h - 873*m, -2*h + 12 = -m for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 291 + 75 = 0. Let y(n) = n**2 - 2*n - 6. Let b be y(4). Let d be -2*b\/4*61. Is t equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1936*t**2 - 52*t - 160366?\nAnswer: 3872*t - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49065309.000019 - -49065362. Let j = -593 - -646. Let c = q - j. Round c to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 362 = 4*l. Let r = l + -53. Suppose 8 = 4*q, 6*q - 3*q = -5*m + 141. Calculate the greatest common divisor of m and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-6*((-391)\/(-34))\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1989201, 1989193, 1989179, 1989159?\n\"Answer: -3*o**2 + o + 1989203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 141*l**3 + 2 - 16 + l**2.\nAnswer: 141*l**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzwgb. What is prob of picking 1 g, 1 b, 1 h, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 44, 22 in ascending order.\nAnswer: 0.3, 22, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 47*t + 290. Let j be g(-6). Solve -33*n = -31*n + j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -1\/9, -5, -1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 19 = -29. Suppose -f + 3*f = 0. Let o be 1 - (f + 0) - -15. What is the greatest common factor of o and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 331*l**2 + 12*l + 13. What is z(-1)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182737 or 182728?\nAnswer: 182737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yni when three letters picked without replacement from mymiymmmmmnn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43893316 divided by 4\nAnswer: 10973329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584439 rounded to the nearest one thousand?\nAnswer: 584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101943362 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 2. Calculate the least common multiple of (10 + -5)\/((-8)\/(-16)) and d(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -736 - -1420. Calculate the greatest common factor of a and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 139*q + 876. Give n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-4)\/(-36)). Let k be 1 + (3 + v)\/2. Let q be k\/(9\/(-15)) + 2. Is -3\/8 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1455 - -1474. Calculate the remainder when 149 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10594 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 250, 239, 260, 331, 470?\n\"Answer: 3*k**3 - 2*k**2 - 26*k + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:58 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -82.9 (b) 0.2 (c) 2\/3 (d) -485.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 23 + 7*v - 29*v)*(-1 - 1 + 7).\nAnswer: -110*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/5 + 803*o**2\/5 - 5584*o\/5 + 9552\/5 = 0. What is o?\nAnswer: 3, 4, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - 1*sqrt(160)) + sqrt(160))\/(sqrt(2) + (sqrt(200) - 2*sqrt(200)) + sqrt(200)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80.73 and 1.\nAnswer: -80.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose g = -b + 3*b + 12. Let p be 2\/b - 260\/(-15). Solve 5*i - 2*s = -s + 15, 3*i + s = p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168050?\nAnswer: 2, 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2988127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 150 + 563 = -2*b, -3*d + 4*b = -425. What are the prime factors of d?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9985 + 3295049\/330. Is i smaller than -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308153152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dehdavepadepedaep. Give prob of sequence eh.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 3*g + 11*g**2 - 5*g**2 + g**3 + 1491 - 1486. Give l(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 4*x + 1. What is the remainder when t(-5) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100438 and 33514.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.21 (b) 1\/7 (c) -0.0855 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1463182 is divided by 365794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3154 + -63049\/20. Calculate the common denominator of l and (1\/8)\/((-3)\/(-63)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1055\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y - 219*y = -1296 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, -9 in decreasing order.\nAnswer: 21, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*f**2 - 5*f**3 - 769*f**2 + 425*f**2 - 6*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002956287 rounded to six dps?\nAnswer: -0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 8) + ((-1 - 91) + 11 - -16).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/16 and -68\/112341.\nAnswer: 1797456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -56*z**3 + 50*z**2 + 8. Let f(q) = 45*q**3 - 50*q**2 - 6. Calculate -3*d(c) - 4*f(c).\nAnswer: -12*c**3 + 50*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -4*w + 4*n, -2*w + 10 = 3*n. Let f(t) = 27*t**3 + 9*t - 3*t**w - 28*t**3 - 5 + 15. Let s be f(-5). Solve 0 = -b - 2*b + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (4\/(-1))\/(-2). Suppose 2*q + z*f - 417 = -2*q, 107 = q + 4*f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 22*j - 1 = 0. Let u(m) be the second derivative of 7*m**3\/3 - m**2\/2 - 20*m + 2. Calculate u(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - (20 - 6)) + (-4 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r - 1. Let q(k) = 12*k**3 + k**2. Let h be q(1). What is the second derivative of 3*i - h*i + i**r + 9*i**2 wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299902 is divided by 1224.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-20) - 4\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 9. Let s be z(-6). Suppose 7*x - 3*x - 4 = 0. Let p be ((-2)\/x)\/((-28)\/42). Solve -s*i - p*l + 0*l = 0, -2*i = -3*l + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-3 - 4 - -2). Let j be ((-3)\/(27\/(-6)))\/(2\/33). Suppose m*t = 3*z - j, -5*z + 4*t + 12 = 2*t. Solve 25 = -5*f - w, f = -f + 2*w + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d - 2. Let v be p(-2). Let a = v + -9. Is ((-144)\/(-30))\/(a\/(-5)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*z = -195*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1250 and 5120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -41, -89, -175, -311?\n\"Answer: -2*m**3 - m**2 - 5*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109517464 to the power of 1\/2, to the nearest integer?\nAnswer: 10465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/2 - i**2\/2 + i. Suppose 4*k - k - 3 = 0, 5*k = -2*t - 7. Does 6 divide w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3015 + 2980 - 7*o**4 + 2*o**4 + 0*o**4 + o**4 + 0*o**4 + (4*o**4 + o**4 - 4*o**4)*(-4 + 2 + 4) to g*o**2 + r*o**3 + s + w*o**4 + d*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 3*w - 5. Let h(a) = 2 - 4*a**2 - a + 0*a**2 + a**3 - 1 - 2*a**2. Let f be h(6). Give x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 4 + (-1 + 1 - 1)*(2 - 3 - 1) + 2 - 4 + 9)*(17*d**2 + 173*d**2 + 12*d**2 + 18*d**2).\nAnswer: 3300*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 5*j - 31. Let l be t(7). Let z be (-24)\/56 - l\/7. Suppose -31 = -5*w - 11. Solve -14 = 4*o + 2*b - z, 4*o - w*b = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37653639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 14663.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 57 - 57. Let y(p) = 2*p**2 + 0*p**2 - 3*p**2. Give y(d(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:24 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 1)*(-15)\/2. Let t = v - 12. Suppose 0 = t*q - 21 - 0. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -3, -881, -3\/2, -1\/9, -186?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003183245 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -15.9. Let z = -0.1 + x. Which is the third smallest value? (a) 4 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/20 - -4)*-4 - -9. Sort y, -0.06, -3, -0.3, 2\/23 in ascending order.\nAnswer: -3, y, -0.3, -0.06, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639031 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22664268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 + 2.1. Which is the second biggest value? (a) 2 (b) p (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15534*n - 19. Let m be h(17). Let s = m - -104318379\/395. Let u = -3\/79 - s. What is the third biggest value in u, 2, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3155, -4 in descending order.\nAnswer: 17, -4, -3155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -9*w. Solve 0 = 7*g - 3*g - 2*p - 18, -w*p - 8 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(180) + -2 + -4 + sqrt(5) + 4)*2.\nAnswer: -4 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 178822?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -7. Let p be 4 + 183 + 4 + -2. Let q = p - 167. Calculate the lowest common multiple of q and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1168894147 and 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**3 + 3*l**2 - 12*l - 6. Is t(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(8\/3)*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154819622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/((-90)\/(-27)). Factor -1\/5*g**2 + 2\/5*g + s - 2\/5*g**3.\nAnswer: -(g - 1)*(g + 1)*(2*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 14.\nAnswer: -4, -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 9}. Give prob of sequence kr.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 1093*z**2 - 1 - 2 - z + 3.\nAnswer: -1074*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48326 and 55188?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.36, 3873, -3, 0 in increasing order.\nAnswer: -3, 0, 5.36, 3873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p, -3*x + 6*p + 21 = 5*p. Suppose -35 = 8*v - 51. Suppose 3*t - x = -3*u, -4 = -5*u - v*t + 12. Let z(h) = -h + 9. Determine z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*1\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 206 = -2*q - h, q = 5*h + 131. List the prime factors of q.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280\/3 - 93. Put o, -2\/19, -2, -5 in descending order.\nAnswer: o, -2\/19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4894\/7 or 698?\nAnswer: 4894\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2 bigger than 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6371 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnwq. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -987999*t**4 - 7677880*t**2 wrt t?\nAnswer: -23711976*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 - 46.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1728 - -57028\/33. Let i(w) be the second derivative of 0*w**2 + 0 + 7\/110*w**5 - 16\/33*w**3 - 17*w + r*w**4 + 1\/165*w**6. Factor i(v).\nAnswer: 2*v*(v - 1)*(v + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48097 is divided by 197.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19840 is divided by 451.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.367 + -0.463. Let g = -2261110 - -2261113.829843. Let z = m + g. What is z rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.1 + 37.293. What is m rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1 - ((-14)\/18)\/(125\/250).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = v + 3*v, -r + 4*v + 6 = 0. Suppose -3*n - r*n + 130 = 0. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.7. Let m be ((-4)\/9 - 0)*705\/(-3290). Which is the fourth biggest value? (a) 0.14 (b) 4 (c) m (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104433, -208868, -313303, -417738, -522173, -626608?\nAnswer: -731043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y + 48 - 48)*(-2*y**4 + 4 - 4).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340040375 + 12*a**2 + 340040375 + 5*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2025 = 19*w - 10*w. Let f = -229 - w. Which is the closest to f? (a) 0 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 3*h)*(-3*h + h + 4*h)*(1926 - 1926 + 118*h**2).\nAnswer: 944*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 2. Let b(h) = h + 2. Let g(y) = -4*b(y) + 3*u(y). Let l be g(-2). Suppose l = 2*j - 5 - 11. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1809 + 1822. Solve -4*i - b = -3*a + 8*a, 4*a + 6 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 24*s**3 + 35*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q + 266. Calculate d(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*7.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6472334668698 and 2?\nAnswer: 6472334668696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 4*q**5)*(-19 + 3 + 2) - 3*q**5 - 4*q**5 + 5*q**5 + 1.\nAnswer: 54*q**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 0 - (12 + -14 + 7 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*a + 5 = 0, 2*u - 2*a + 1 = -3. Suppose 187*z - 3 = -467*z - 3. Solve -u*c - 4*q + 5 = z, c + 3*q + 5 = 5*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q + 2*o, o - 13 = q + 4*o. Suppose -q*x + 50 = 6. Suppose -x = -4*l + 42. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122 + 24*p + 2457*p**2 + 24 + 9 - 12 - 16*p wrt p?\nAnswer: 4914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5, 5*x = x + 2*u + 25326. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3\/6 + 9*r**2\/2 - 1472*r. Calculate c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27523 divided by 9\nAnswer: 27523\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 43*a**2 - 23*a + 85. Let c be v(4). Suppose -u + 271 = z, -277 = -0*z - z + 5*u. Let r = c - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*a + 12, -5*k + 15 = 33361*a - 33366*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7*j - 5)*(2 + 0 + 0)*(1 - 3 + 5)*(-2 + 1 + 3)*(2 + 10 + 15) in the form n + s*j and give s.\nAnswer: -2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-6775)\/90. Let l = -75 - a. Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -151*z**2 + 2994*z + 538. What is q(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -29*h**4\/2 - h**3\/3 - 4*h**2 - 142*h. Let k(f) = 5*f**2. What is k(w(q))?\nAnswer: 605520*q**2 + 6960*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41867, 83635, 125427, 167243?\n\"Answer: 12*g**2 + 41732*g + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 32. Is 11 - (h + 4 - 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 24010 - 558. Let b = c + -425. List the prime factors of b.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.07, 2\/11, 246706.\nAnswer: -1, 0.07, 2\/11, 246706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16192 and 1252856.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*l - 4*a + 5, -37 = -5*l + 3*a. Let -3*p + 6*p - 10*p**2 + l*p**2 - 2 + 1 = 0. Calculate p.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79983094 to 4 dps.\nAnswer: -0.7998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.07. Let w be 2\/6 + (-8)\/42. Let i = -63\/5 + 13. Which is the closest to k? (a) -2\/23 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129586 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14644998 divided by -2?\nAnswer: -7322499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 minutes before 7:27 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/5 - n\/5 - 2\/5 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 0.2, 53\/113, 2\/11 in decreasing order.\nAnswer: 4, 53\/113, 0.2, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*d - 4 - 12 = 0, v - 3*d = 6. Let o be 10\/35*(-2 - v). Let s be 8*2\/(1*4). Solve -3*y - 2*r + 3*r - 6 = 0, -o*y = 5*r + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 20. Suppose 169*k = 16 + 660. What is n(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211.1 - -210.3664. Let m = a + 0.75. What is m rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -0.8. Let x = r + 0. Round x to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/70*(-42)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 0.84. Let m = -2.96 + a. What is the biggest value in 1, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 4*c - 3, -3*c = 5*q - 6. Let d(b) = -b**2 - 5*b + 30. Let h be d(q). Solve -5*r - 25 = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, -2*m - 2 = -2*j + j. Let g = m + -2. Let w = 9 + g. Solve w = 4*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (8 - (-30)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.24893 and 246.\nAnswer: 246.24893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u + 0*u**3 + 0*u - 5*u**2 - 4*u**2. Let v be j(-8). Differentiate 3 + v + 2*m**3 - 5*m**3 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 24. Let d(z) = 4*z - 25. Let b(i) = 3*a(i) + 4*d(i). Let o be b(9). Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 302051 and 1812306?\nAnswer: 1812306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*x**5 + 2*x**4 + 20*x**3.\nAnswer: -2*x**3*(x - 1)*(11*x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 533*u**6\/3 + 115*u**2\/2 - 47. Find the second derivative of g(h) wrt h.\nAnswer: 21320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m + 8*m**3 - m**3 - 9*m. Calculate a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 1660, 5288, 12248, 23650, 40604, 64220?\nAnswer: 95608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 + 2*b. Suppose 14*x - 174 = 526. Let c = -52 + x. Let l(p) = p**3 + 9*p**2 + 5*p. Calculate c*l(m) + 5*w(m).\nAnswer: 3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/30)\/((-12)\/(-60))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + (6 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 802189 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15124313.45 - 28.462?\nAnswer: -15124341.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249834352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*h - 5*m - 14 = 0, 2*m = -5*h - 1. Which is the nearest to -2\/3? (a) h (b) -10\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6794 and 602?\nAnswer: 47558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 308\/176 + 3 + (-733297)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1321120?\nAnswer: 1321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 738 and 1353.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212843*q + 6 + 1 - 87353*q - 7.\nAnswer: 125490*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5190 - 5189. Which is the closest to x? (a) -2\/13 (b) 0.2 (c) 4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -1082352?\nAnswer: 11\/1082352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*n**3 + 65.\nAnswer: 171*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20034930 by 6.\nAnswer: 3339155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00802886398796 minus 3?\nAnswer: -3.00802886398796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21399 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(-1 + 7 + 4)*(-x + 0*x - x).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -11\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -88229?\nAnswer: -120\/88229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from nhdrd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89746506191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30333233 (base 4) to base 6.\nAnswer: -1050235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*n**3*z**4 - 6*n**3*z + 2*n**3 - n**2 + 28*z**4 + 446 wrt z?\nAnswer: 1008*n**3*z**2 + 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2472 - -0.002\nAnswer: -0.2452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136515 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 42645*w + 936738.\nAnswer: 3*(w + 22)*(w + 14193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 0 - 135*s**3 + 447*s**3 + 49*s - 5.\nAnswer: 312*s**3 + 2*s**2 + 49*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*n - 2*i, 12 = n + 3*i - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-9)\/14))\/(188\/282).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (152 + -146 - (-3 + 6)) + (-8 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - sqrt(228)*-3))*-6)\/((sqrt(36)\/sqrt(3) + sqrt(12))*2).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362974, -2903871, -9800590, -23231041, -45373134?\nAnswer: -78404779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 78700 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjxjjqxqvqqxvv. Give prob of sequence xx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*w**4 - w**3 - 123*w**2 + 1 wrt w.\nAnswer: 1680*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j + 4 - 94*j - 2 + 66*j.\nAnswer: 25*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 2) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 2*s - 1. Suppose -3*l + 20 = l. Suppose -l*x + 3 = -2*x. Let b(k) = 5*k - 18*k + 13*k - k**2. Determine x*r(o) + 6*b(o).\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*((-14)\/(-28) + -4). What is the greatest common divisor of u and 2373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*c - 175*c - 72 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/35*95\/(-209).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-6*x + x + x)*(0 - 2 - 1) to the form j*x + f and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 - -17. Suppose -72*k - j = -96*k. Solve 0 = -6*z - k + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 - 327660*k**2 + 2621472*k - 5243072 = 0.\nAnswer: -81923, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 978 = -0*v - 2*v. Let y be v\/15 - 8\/20. Let q = y + 63. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 885*r**4 - 23176*r**2 + 55581108*r wrt r.\nAnswer: 10620*r**2 - 46352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3744\/199 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51208 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4614*t + 1762598. Determine j(382).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77278307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w**4 - 3*w**4 + 5*w**4 + (-w + 3*w - 3*w)*(2*w**3 - 1 + 1).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 1 = -u + 3*p, u - 3624*p = -3621*p + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88856 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 8. Let s be h(-7). Let b = s - -6. Suppose -b*u + 88 + 157 = 4*n, 3*u + 95 = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1427 + -1424. Solve -k*h + q + q = -4, 4*q + 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 45, -1, 18, 0 in decreasing order.\nAnswer: 45, 18, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34410 (base 7) to base 11.\nAnswer: -6660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/50301? (a) 3 (b) 0.01 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31856840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -367739538 divided by -6\nAnswer: 61289923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h\/(h**(-2\/15)*h*h))*h**(-2\/39)*h**23\/(h\/(h*h**(-2\/31))*h) assuming h is positive.\nAnswer: h**(45843\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -72961.054 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -0.04. Let b be 13 - ((-2088)\/(-30))\/6. Is b less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfmvu. Give prob of picking 1 v and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y + 1. Let v(o) = -5*o**3 - 15*o**2 - 4*o - 4. Give 4*k(x) + v(x).\nAnswer: -x**3 - 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 51*z + 223. Is t(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11088.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 664*p - 1845*p + 603*p in the form a*p + z and give a.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(448)*-1 - (-2 + (sqrt(448) + 1 - sqrt(448) - sqrt(448))))**2.\nAnswer: -64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u**2 + 11*u + 7. Let q(y) be the first derivative of 5*y**3\/3 - 5*y**2\/2 - 3*y + 2. Let g(w) = -3*n(w) - 7*q(w). Solve g(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3666 and 169.\nAnswer: 47658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/7*c**2 + 0 + 2\/7*c**4 + 8\/7*c**3 + 4\/7*c = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50987 is divided by 58.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3242, -363, 4436, 11155, 19794, 30353, 42832?\n\"Answer: 960*n**2 - n - 4201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x = 0. Suppose x = -4*k + 18 + 2. Suppose v - k*v = -212. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5. Let a be c(0). Let r be a\/(-2)*36\/15. Solve -3*i - 3*d = -0*i + r, -5*d - 1 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 188388, 753544, 1695470, 3014166, 4709632, 6781868, 9230874?\n\"Answer: 188385*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15967003205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*g**2 - 158*g**2 - 6 + 8 - 1289*g**3)*(-3*g**2 + 16*g**2 + 2*g**2).\nAnswer: -19335*g**5 + 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/13958 and 25\/2.\nAnswer: 13958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/(-6) + 2\/4. Let v = t + -7. Which is the closest to -0.1? (a) -0.4 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1446\/6 - (1 + 0). Suppose -6*x = -0*x - h. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 8*j**2 + 5*j - 10. Let w = -14 + 7. Let l be o(w). Solve 5*i + 18 = -u, u - l*i - 8 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13863469847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25456 or -38980?\nAnswer: -38980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4 + 3*s**2\/2 - s + 7. Calculate the remainder when f(2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 + 216*b**2 - 404*b wrt b?\nAnswer: -20*b**3 + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-28)\/(-6))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 + 642*q**2 + 12736*q + 40800 = 0. What is q?\nAnswer: -300, -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 83?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 20, -2*y - 34*s = -29*s - 704. Calculate the remainder when 1450 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 - 112*c - 15. Give y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 12, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 29*z**3 + 8*z**2 - 45*z - 1. What is the tens digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70.84 - 0.84. Let j = u + -69. Let k be (2 - 1)\/5*(-125)\/(-30). What is the second biggest value in k, j, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/32769472 and 149\/24?\nAnswer: 98308416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9536.147 millilitres?\nAnswer: 9.536147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -483, -973, -1463, -1953, -2443?\n\"Answer: -490*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 3*q**4 + 3*q**4 + (8 - 9 - 17)*(-q - 2*q + 2*q)*(-3*q**3 - q**4 + 3*q**3).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*i + 361*i + 544 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 19696*r - 48491552.\nAnswer: -2*(r - 4924)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42654, 170827, 384446, 683511, 1068022, 1537979?\n\"Answer: 42723*d**2 + 4*d - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -2*p + 0 + 1\/4*p**4 + 0*p**2 + 5\/3*p**3. Find the second derivative of a(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115176 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2697, 0.5, 5, 1.9, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -876, -3393, -7610, -13527, -21144, -30461, -41478?\n\"Answer: -850*b**2 + 33*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1184)\/(-22) + (-8)\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6722 + 6736. Suppose -t + 6*t = -15. Let q = 11 + -7. Sort m, t, q.\nAnswer: t, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 3\/4 (c) 2.6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from {f: 2, c: 7, h: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 + 2*k - 4. Let g be j(4). Suppose 4*v - 8 = 2*v + 2*a, 3*v = g*a + 16. Suppose 3*u + u - 40 = v. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/120 - -743\/120. Let i = 28\/5 - g. Put i, 6\/5, -4 in descending order.\nAnswer: 6\/5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131308 = j - 2*t, -35*j = -34*j - 5*t + 131320. Round j to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 35*u**3 + 15*u**2 - 95*u - 70.\nAnswer: -5*(u - 7)*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.654 - -4.854. Let d = 0.3 + 0. Is j at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 1231\/(-570)) + 40\/(-120) and -161\/90?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 = 4*d + w, 2*w - 22 = 2*d. Let k be (11 + 319)*(-4)\/d. Calculate the highest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.1958 centuries to millennia.\nAnswer: 70.71958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12\/2357 + 5958460\/7071. Let l = h + -842. Which is the biggest value? (a) -0.1 (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 217\/110 - (-3 - -5). Let x = -15\/226 - 79\/12430. Let o = x - p. Find the common denominator of 53\/10 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = 9*z. Suppose 0 = z*y + 8, o + 3*o + 608 = 2*y. Find the common denominator of o\/20*(-1)\/(-2) and -71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Suppose -q*b = -8*b + 88. Suppose p + 0*p = -3*t + b, 3*p = 3*t + 90. Calculate the remainder when p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2970\/18*9\/5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2450) + 1)**2 + sqrt(2450) - (1*sqrt(2450) + -1 - sqrt(2450))) + ((2*sqrt(2450))**2 + -3 - sqrt(2450))*-6)*-2*3.\nAnswer: -3570*sqrt(2) + 279156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, t: 1, s: 4, o: 1, r: 6}. Give prob of sequence momt.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 11. Suppose b*t - t = 15. Suppose 24 = 5*g + t*a - 4, -3*a = 4*g - 23. Solve g*c = -25, 3*c = -0*n + 2*n - 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.000206g?\nAnswer: 0.000000000206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -352 - -202?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-40)\/(-240)*-2*(-14)\/84?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 6*w - 8. Let b(v) = -v**3 - 9*v**2 - 8*v - 2. Let r be b(w). Let m be 3\/(-3)*7 + r. Is m greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161.92 + -162.12. Let s be -3 + 0*1\/(-2). Which is the closest to t? (a) 2 (b) s (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:45 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1550*v**3 - v - 2. Let m = 16 - 18. Let g be a(m). Let s be g*-15*1\/(-2). What is s rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65327 - 66107 = -26*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -712*y**2 - 3*y + y**3 + 1484*y**2 - 544*y**2 - 5 + 3*y in the form p*y + x + i*y**2 + v*y**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1428\/16)\/(-17)*(-32)\/6. Suppose o*s - 24*s - 1592 = 0. What are the prime factors of s?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:03 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmqnhwnqmnmhym. What is prob of picking 2 n and 2 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -23. Let v be ((-3)\/3 + 1)\/1. Let k(o) = -o. Let w be k(v). Solve 0 = c*z + 2*q + 13, 2*z + w + 9 = -q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 495.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1)\/(-2)*(-12)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*p**2 - 111*p + 111*p)*(0*p**3 - p**3 + 0*p**3).\nAnswer: 46*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1524 and 12.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988535 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 - (0 - 0). Suppose -z*d + 47 = -21. Suppose p - d = -p. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6251, 6247, 6243?\nAnswer: 6239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.3, 0, -1\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -9. Let s(c) = c + 15. Let j be s(-11). What is the third biggest value in o, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -46*g + 36. Let y(o) = -23*o + 18. Let b(p) = -3*w(p) + 5*y(p). What are the prime factors of b(3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 8345338?\nAnswer: -8345331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12)*15\/(-1200)*20)\/4.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.3999398 - -4.4. What is v rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25794 (b) 0.07 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 69593?\nAnswer: 69594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4 + 3. Calculate the remainder when 26 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-1\/21)*r)*r\/(r**(1\/11)\/r))**50\/((r\/r**(-2\/3))**9*(r\/(r*r*r**(-1\/4)))**(1\/25)) assuming r is positive.\nAnswer: r**(649193\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210721 - -142808. Let t = c + -75087. What is t rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58971854?\nAnswer: 2, 29485927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -2*i - 6*f + 5*f, 2*f + 172 = i. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + 59. Suppose -91*l + 33*l + 4640 = 0. Calculate the greatest common factor of l and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:27 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67693621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10311203 (base 5) in base 7?\nAnswer: 515305","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 210*i - 5 - 418*i + 209*i as u*i + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 323669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(383670\/162)*(4\/6)\/(8\/12)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*0*3\/(-24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-44) + (-2)\/8. Let d = 5\/48852 - 424498\/940401. Let r = d - f. What is the second biggest value in r, -3\/2, -0.01?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 4*v - 4. Let u be z(-6). Let g(j) = j**2 + 10*j + 7. Let h be g(-8). Let w = 13 + h. What is the greatest common factor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22002222 (base 4) to base 16\nAnswer: -a0aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/12 - 5*b**3\/2 - 3*b**2\/2 - 2*b. List the prime factors of r(-6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0373, 0.1, -2\/25 in descending order.\nAnswer: 0.1, 0.0373, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123507701?\nAnswer: 123507701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(34)\/(sqrt(2)*1) + -4 + ((1 + sqrt(17))*-3 - sqrt(68)*2))**2.\nAnswer: 84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.087 (b) -0.02 (c) -0.1 (d) -5 (e) -7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201168246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 53*y - 25 - 14 - 17 + 92.\nAnswer: -53*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 2, -1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from zzoefoozzo?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5 + 5. Suppose -3*q = -12, 0*z = 2*z + 3*q - 6. Sort z, 1, d.\nAnswer: z, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1\/7*-3). Let t(a) = -2*a + 23. Let b be t(9). Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 1, 5 in increasing order.\nAnswer: -21, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 1002590.\nAnswer: 1002593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383181 is divided by 566?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053513100 to the nearest one hundred thousand.\nAnswer: -1053500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v - 573. Let f be l(-57). Sort -28, f, 0 in decreasing order.\nAnswer: 0, f, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7911 and 55\/7032.\nAnswer: 63288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506363 is divided by 128.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*p - 1 + 121*p - 91*p.\nAnswer: 356*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*a + 121, -6*c + 120 = -c - 5*a. Let g = 28 - c. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*b + 515948 = 0, 5*o - 79*b - 2579746 = -75*b. Round o to the nearest one thousand.\nAnswer: 516000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/143 and 25\/221.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19533 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/(-258) + 1057308\/26402.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-2) - (41 - 40). Solve 7*d - 2*d = f*m - 28, m + 9 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 429 - 307 = 4*k, -3*d + 28 = d - 2*k + 82 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -98*j - 267. Calculate the remainder when o(-20) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-160)\/(-6400))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9992\/37 - 270. Let f be (-2)\/((-3 + 1)\/2 - 3). Put f, i, -2 in decreasing order.\nAnswer: f, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -6. Let p = 16 - 7. Suppose 3*g - 25 = -a, -4*g = -y*a + p + 92. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1 - -3) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.02*-35.46.\nAnswer: 107.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*o - u, 3*o - u = -0*u - 2. Let i be 3\/(-22)*306\/135. Let t = -1\/11 + i. Which is the nearest to -0.1? (a) t (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 3*y**4)*(23 + 129*y - 1 - 19).\nAnswer: 387*y**5 + 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 - 5*r. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 5*f + 4. Let i be t(6). Let o(w) = -2*w + 10. Let q be o(4). Let u be (2 - 29\/12)*3 + q. Sort u, 3, i in ascending order.\nAnswer: i, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -301*x**5\/2 - 1517*x**4\/4 + 200451*x**3\/2 - 786949*x**2\/4 + 190135*x\/2 + 1974 = 0. Calculate x.\nAnswer: -28, -6\/301, 1, 47\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 + 166815*u**2\/7 + 95328*u + 667308\/7.\nAnswer: -3*(u - 55609)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234746414.\nAnswer: 2, 7, 16767601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 10) to base 9.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 0 - 2 + 0)*(-6776 + 6776 + 133*a).\nAnswer: 798*a**2 - 266*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37043 is divided by 3079.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/307, 0.4, -21\/16, 1\/2, 4\/5 in descending order.\nAnswer: 4\/5, 1\/2, 0.4, 2\/307, -21\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33456 is divided by 113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*l + 22, 4*l = -13 - 3. Suppose -j*v + 12 = -6*v. What are the prime factors of -18*(8\/v - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*600.55\nAnswer: 600.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 135*h - 2. What is the tens digit of g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (144 - -25) + -37 - (-3 + 4 - 2).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10570*a - 2 + 2 - 10570*a - 2996*a**2 as d*a**2 + g*a + z and give d.\nAnswer: -2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404846139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = 4*r, 399 = -5*r + 394 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 23\/14, -3 in descending order.\nAnswer: 23\/14, -0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 11*i**2 + i - 10. Let k be b(11). Is k not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -22*v**5 + 349*v**4 + 136*v**3 - 1396*v**2 - 192*v = 0.\nAnswer: -2, -3\/22, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2\/3*m**3 - 5\/2*m**6 + 0*m**4 + 3\/2*m**2 + 49 + 0*m**5 + 5*m. Find the second derivative of i(s) wrt s.\nAnswer: -300*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkaakk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.882 + -41.620488. Let x = 1.74 + v. Round x to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 149.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = 3*x, 2*x = -2*k + 7*x. Suppose -k - 14 = -2*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.5 (b) -1.04 (c) 0.3 (d) -1 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2557 is divided by 2428.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 922, 1842, 2762?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 662*c - 134255. What is z(203)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4 - 18*k**3 - 3*k**2 + 18*k = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18087.\nAnswer: 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 + -8. Let m be (u\/(-48))\/((-4)\/(-30)). What is the greatest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from rzozoeozkrzz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 13*n**2 - n + 8*n**2.\nAnswer: -5*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*m + 1303*m - 3164 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*255\/(-918)*(-9)\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + 18*c + 113. Determine h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2bb42b (base 13) to base 2\nAnswer: -100001000000100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - x - 1. Let a be l(-1). Let z = 1344 - 9406\/7. Put -1\/4, a, z in descending order.\nAnswer: z, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 6. What is the units digit of (5\/m)\/(2\/(-68))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 1027*p - 1025*p + 551 + 724.\nAnswer: 2*p + 969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 173*g - 7 = -168*g, -2*g - 21 = -19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c - 11 = -4*h, 0 = h - c - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 0.3?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-2 - -4 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - -4) - (-15 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l**2 - 44*l + 200 wrt l?\nAnswer: 6*l - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:46 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75405888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -34*x**3 + 2*x**2 - 3*x + 4. Let w be t(-3). Let k = 73885 + -224438\/3. Let n = k + w. Find the common denominator of n and -21\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 19 = 26*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**4 - 12 + 12 + (-3*d**3 + 0*d**3 - 4*d**3)*(0*d - 2*d + 0*d).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -2*g**7\/105 + 31*g**6\/120 - 53*g**5\/60 + g**4\/24 + 8*g**2 - 2. Find the third derivative of f(w) wrt w.\nAnswer: -96*w + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 189, 340, 515, 702, 889, 1064?\n\"Answer: -2*y**3 + 30*y**2 + 39*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -5*(sqrt(2299) + -1)**2 + (sqrt(2299) - (2 + (3*sqrt(2299) - sqrt(2299)) + sqrt(2299)))).\nAnswer: -176*sqrt(19) + 22996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(2 + -6) - -4. Let o = 26 - 28. Let j = 51 + o. Calculate the highest common divisor of y and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w - 111 = 97 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/48608 and 49\/6172.\nAnswer: 75002144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 20. Let s(q) = q**2 - 2*q - 3. Let u be s(d). Let o(c) = c**2 - 4*c + 5. Determine o(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**3 - 54*q**2 - 12*q + 62. Is z(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*x = 18, -319*x + 320*x = 7*t - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 - 14*y**2 + 9*y - 166. Let f(n) = -n**3 - 2*n**2 + n + 1. Determine c(b) - 7*f(b).\nAnswer: b**3 + 2*b - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/608 and -37\/1520?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65548, 131070, 196592, 262114, 327636, 393158?\nAnswer: 458680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.754282 litres?\nAnswer: 8754.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 1710*q + 1218375.\nAnswer: 3*(q + 1425)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 4 + (1 - 5 + 5)*(4 - 1 - 2))*(-3*d + d + 3*d) to the form x*d + s and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-87)\/(-58)*172\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17021893267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 14*u - 24. Let y be m(12). Suppose y = -5*w - 10, -3*j + 2*w = 5*w - 3. Suppose -4*v + 116 = v + j*p, 3*v = 5*p + 90. Is v != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58613939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8850 and 7.\nAnswer: 61950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-72))\/(-15*18\/(-48)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44010)\/(4\/((-12)\/3)). Let r = 7 - 3. Suppose 2*z = -y - 3*y + m, -z + 44005 = r*y. Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z**4 - 42*z**3 + 7584*z**2 - 645047*z + 4 wrt z.\nAnswer: 48*z**2 - 252*z + 15168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 8. Let f be g(-8). Let t = 5293 + -5080. Let a = t - f. List the prime factors of a.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77058551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 6. Let j be 3 - 4 - 1*v. Suppose 33 = j*w - w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {w: 2, f: 1, m: 1, p: 1, a: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 120*y**2 + y + 66. Calculate r(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*k + 98. Let l = -13 + k. Suppose 2*f + l = 4*p, 2*f + 8 = 3*p - p. Which is the closest to -0.1? (a) -5 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*((-2*b - b + 4*b)*(-50 - 78 + 33) - 3*b + 9*b - 4*b).\nAnswer: -93*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*d + 0*s - 358 = 5*s, 4*d + 3*s + 22 = 38 - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 848 - 168. What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 27 = 137. Let k = 92 - 81. What is the highest common factor of k and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from krrycxkkk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -90*q**2 - 674*q + 23. Determine f(-10).\nAnswer: -2237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*m - 7*m + 12 = 0, 0 = 4*u + 5*m - 27. Suppose u*w + 1 = 7. Factor -1\/4*i**w - 1\/4*i + 1\/4*i**3 + 1\/4*i**4 + 0.\nAnswer: i*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f + 57*f + 6 = 120*f. Let l(d) = -3*d - 1. Let o(x) = -2*x - 1. Let g(z) = 5*l(z) - 4*o(z). Calculate g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 22*x**2 - 41*x - 17. Let t be c(-20). Suppose t*z - 5*u - 741 = 0, 4*u = -z - u + 247. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 1. Let g be d(-3). Let z = -2 + g. Sort z, 3, 2.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087197 to the power of 1\/2, to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1*(1 + 0). Let x be 6\/(-21) - 16\/(-7). Let n(z) = -x*z**3 + 1 + z + z**3 + z. Give n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 15*d + 196. Factor -21*k - 6*k**2 + 37 + 2*k**3 + k**3 - d.\nAnswer: 3*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/3 + (-3)\/(-9). Suppose -638 - 535 = 3*v - 3*y, 0 = v - 2*y + 391. Is (-1 + 3)*(v\/x)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 82.46022 days?\nAnswer: 1979.04528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*u**2 + 799*u**2 - 400*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 3*z**2 - 38*z + 2*z**2 + 130 + 39*z. Is 26 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.56 + -1.6. Let z = 0.1 + l. Let p = z - -0.53. What is p rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let u be v(6). Let p(y) = 58*y - 1048. Let t be p(18). Let x = t - u. Put -5, x, 0.4, -0.49 in decreasing order.\nAnswer: x, 0.4, -0.49, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xleiedgdl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 181. Let c(h) = -9*h**2 + y*h**3 + 3 + 2*h + 18*h**2 - 7*h**2 - 6*h**3. Let w be ((-3)\/5)\/((-2)\/10). What is c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -3*h**5\/20 + 16*h**3\/3 - 2*h**2 - 3*h. Differentiate a(n) wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331941 is divided by 195?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 5\/(-1)) + (-536)\/224. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*v = 14, -21*v + 20*v = -2*h + 4. Solve t + h*r = 0, 2*t + r = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/5019 and 34\/115317?\nAnswer: 192925341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30662, 30660, 30658, 30656?\n\"Answer: -2*u + 30664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (4 - -3) + 2. Let h = 27 - -36. What is the greatest common factor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/7 - 1252*o**2\/7 - 82256*o\/7 - 44160 = 0. What is o?\nAnswer: -552, -70, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17909202?\nAnswer: 2, 3, 2984867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165.7 - -22.7. Let m = z - -138. Let g be 2\/72 - (-2)\/9. Sort -1\/7, m, g, 0.2 in increasing order.\nAnswer: m, -1\/7, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -4*x - 4, 4*x = 12. Let z be 4\/i - 70\/(-9). Let 3*v**4 + v**2 + z*v**2 + 9*v**3 - v - v + 5*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 5:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.213*3.\nAnswer: -0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(9\/(-14))*45\/(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -5. What is the units digit of 452\/j - (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/568 and 27\/23848.\nAnswer: 1693208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vooovoooovo. Give prob of sequence vvo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1298*k**2 + 3 + 1305*k**2 - 3 + 1295*k**2 - 3897*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187ca0 (base 16) to base 2.\nAnswer: -110000111110010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12862531?\nAnswer: 11, 59, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 81. Suppose -150 = -a - 2*g, -496 = -4*a + 3*g + b. Let c = a + -88. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5) - sqrt(20)*4) + (sqrt(153)*6 + sqrt(17))*6 - ((sqrt(153) - 2*-2*sqrt(153)) + sqrt(136)\/(sqrt(32)\/sqrt(4))*-4))**2.\nAnswer: 8812800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*5004239.\nAnswer: 85072063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 2 (c) -0.2 (d) -0.07 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(34)*3)\/((sqrt(144)\/sqrt(8))\/sqrt(9))*-6.\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/12)\/(2\/8). Let j = a - -34. Let v(y) = -y**2 + 10*y - 6. Let x be v(j). Solve -5*f = -6*c + 2*c + 3, x*f - 4*c = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 5*m**3 + 0*m**3 + (-24 + 9*m + 24)*(-4*m**2 - 2 + m**2 + m**2).\nAnswer: -17*m**3 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1819 and 12640231.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 12*b**2 - 353*b + 353. Let y be i(1). Solve q + y = -3*v, 3*q - 4 = -5*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1565, 1529, 1495, 1463, 1433, 1405?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077.4 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2141, -4282, -6423, -8564, -10705, -12846?\n\"Answer: -2141*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 831 (base 13) to base 9\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 4, 5, 2094 in decreasing order.\nAnswer: 2094, 5, 4, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 1377?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1922 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/(-8)*1 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8211 times 109?\nAnswer: 525.4999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 - 2081\/(-11). Suppose 5*g = -4*a + 225, 5*g = g - 5*a + o. Factor -3*s**2 - 147 - 18*s - g*s + 14*s + 3*s.\nAnswer: -3*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*m + 39*m + 48. Is ((-7940)\/(-24))\/1 - (-2)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548559549.\nAnswer: 3, 60951061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 292 - -4849?\nAnswer: 5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0537? (a) 0.3 (b) 0.05 (c) -75 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - f = 0, 2*h - 9*f - 2*f + 60 = 0. Let z(y) be the second derivative of 12*y + 0 - 1\/80*y**5 - 1\/48*y**4 + 1\/8*y**2 + 1\/24*y**h. Factor z(a).\nAnswer: -(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 35, 5 in increasing order.\nAnswer: -5, -3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*((u\/u**(2\/5)*u)\/u)\/u)\/u)\/u**(-2\/5))\/(((((u\/(u*u**2\/u))\/u)\/u)\/u)\/(u**(8\/9)*u)) assuming u is positive.\nAnswer: u**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c = 90*c - 1434. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/4 + l**2\/2 + 5*l. Differentiate o(v) with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1623)\/(-9))\/(10\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 1, k: 9, t: 1}. What is prob of sequence ktpk?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*t + 132*t - 299*t + 128*t - 50 + t**2 as k*t + i*t**2 + w and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*w**6 - 19*w**2 + 102*w**6 - 297*w**6 + 109*w**6 wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/33*(-3 - -5). Put 0.5, 8.8, 2\/3, b in ascending order.\nAnswer: b, 0.5, 2\/3, 8.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l + 204. Let p be g(-23). Let n = -73\/115 - -4\/115. Which is the third biggest value? (a) n (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 5*g**4\/12 - g**3\/3 + 4*g**2. Let u = -12 - -13. What is the remainder when 29 is divided by s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01705 to 4 decimal places.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2684773 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2328*u**2. Let l(r) = 2*r. Determine f(l(j)).\nAnswer: -9312*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -20, -103, -282, -593, -1072?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*r**2*z + 2*k**2*r**2 + 2*k**2*z**2 - 21*k*r**2*z**2 + 141*k*r*z + k*r wrt z.\nAnswer: 4*k**2 - 42*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - (-18)\/12. Let z be p\/(-2)*(-5 + 3). Let t be 20*z - 0\/(-2). Solve -r = 3*r - t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141627589.752 + 23.8?\nAnswer: -141627565.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3024 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d + 6 + 3 - 1 - 4*d. Let w be i(-6). Suppose -4*u + 260 = -w*p + 3*p, -3*p - 2*u + 730 = 0. Calculate the highest common factor of 30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + 8*t + 7. Let r be m(0). Let v = -33 - -54. Calculate the remainder when (114\/4)\/(r\/2 - 3) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 116466*y - 1130360763.\nAnswer: -3*(y - 19411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 10476, 35435, 84054, 164223, 283832, 450771, 672930?\nAnswer: 958199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 891116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -4\/23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -1000253?\nAnswer: 1000253.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.67 less than 20785395.1?\nAnswer: 20785341.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-4)*((-1)\/(-22))\/(39\/26).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 2107 (c) 0.164 (d) 2\/15 (e) 2\/9 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2585, 10355, 23305, 41435, 64745, 93235, 126905?\n\"Answer: 2590*i**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.661627 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/((-6)\/(-12)). Let w = -2357\/1648 + -3\/412. What is the common denominator of 1 - 406\/36 - a and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377.87nm in meters?\nAnswer: 0.00000437787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10350160 - 0?\nAnswer: 10350160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = x - 6*x. Let f be x\/(-3) + (-2)\/6. Solve f*b + 3*y + 11 = 0, 4*y + 17 = -2*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*t - 2*t. Let b be -1*((-4)\/(-8)*t - 5). Solve 5*p - 10 = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 7*t**2 - 53*t + 1. Calculate d(-7).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50421102 (base 6) in base 13?\nAnswer: -3b2703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -0.63578377?\nAnswer: 15.36421623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 + 16331512*c**2 + 377*c + 99863 wrt c.\nAnswer: -6*c + 32663024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t - 13. Let j(g) = -4*g + 14. Let h(q) = 4*j(q) + 3*m(q). Let y be h(-3). Solve -r - 3*z - 13 = 0, -2*z - y = -r + 3*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129176 and 4271966?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 - -175. Solve -2*z + 26 = 7*g - 3*g, 4 = -o*z + 2*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -a - 3*u, 0 = -3*a - 11*u + 9*u - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 14*c + 34, m + m + 12138*c + 6 = 12141*c for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 0.6. Let d be (16\/28 - -1) + -1. Are g and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6 + -2)*-3. Suppose -4*f = -2*n - 14, -5*n = f - n - 26. Let r be (b - 20\/f)*-66. What is r rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * 8.8.\nAnswer: 695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -10887, -4, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.11 + -3. Let s = w - 0.01. Put s, -3, -4 in descending order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 2*o - 3. Suppose -5*d = 3*d. Let i be (-24)\/6 + (1 - d). Calculate f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(15*u + 11*u + 30*u)*(3*u - 3 + 3).\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let z = 20 + -18. Suppose -s + 113 = 3*u - a*u, -z*u = -2*s - 78. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -510272 or -512124?\nAnswer: -510272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-5))**(3\/10)\/(k**5)**(-2\/49) assuming k is positive.\nAnswer: k**(1129\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -246 > -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31360 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3)\/(18\/12*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*m - 769*m = 796*m + 1749 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -10.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 - 2*c. Let w(h) = -h. Let t(g) = 2*w(g) - y(g). Let m be t(-1). Suppose -x = -m*x + 102. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyrxyxx. Give prob of picking 1 x, 1 y, and 1 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27059483*r**2 + 72161206 wrt r.\nAnswer: -54118966*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12578\/2979)\/((-2)\/(-9)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 + 3*a + 4. Let m(s) = -s + 4. Let f = 149 - 98. Suppose 3*r = -5*z - 7 + 54, -4*r + f = 5*z. Let v be m(z). Calculate c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-4)*3\/(-21). Let b = 1.5 + -5.5. Sort b, 6, v, 0 in decreasing order.\nAnswer: 6, v, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 300246?\nAnswer: -1\/150123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r + 112 = -65 + 31 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 + 63?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 71*z**7\/42 - 53*z**4\/2 + 111*z. What is the third derivative of k(x) wrt x?\nAnswer: 4260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31532, -63146, -94758, -126368, -157976, -189582?\n\"Answer: h**2 - 31617*h + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (-57)\/(-12))*92. Sort -3\/4, z, -2\/7 in descending order.\nAnswer: z, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -26, -58, -124, -236?\n\"Answer: -2*o**3 + o**2 + o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180552 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16 = -3*x, x + 23*x - 5 = -18*x + 41*x + c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -232, -0.11, -5, 0.3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 419 - 418.8. What is the third smallest value in 61, o, 4, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -928 (c) -3 (d) 5 (e) -0.5 (f) 7\/48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*u - 42, 0 = 2392*u - 2390*u - 4*q + 12 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 1. Let u(o) be the first derivative of -4\/3*o**3 + 0*o**2 + 0*o + 237. What is u(g(t))?\nAnswer: -36*t**2 + 24*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 32, 0, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -459 (b) 5 (c) -4169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjm when three letters picked without replacement from jjjptmjjmpj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-84)*14)\/(((-1)\/(-78))\/(-1)). Calculate the greatest common divisor of h and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 1455, 5029, 12059, 23697, 41095?\n\"Answer: 192*h**3 - 74*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 71483712?\nAnswer: 214451136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158926?\nAnswer: 2, 229, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -1511 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b + 4*b)*(0*b + 0*b + b) - 115 - 4*b**2 - 2*b + 115.\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 15 = -j - 5*s, 5*j - 3*s = 28. Suppose -d - 2*h = -30, j*d - 4*d - 4*h = 132. Solve -4*m - 3 = 3*v, -4*v - d = -0*v - 4*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748206 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252145 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*u - 21, 0 = 4*u - 49 + 57 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24001.33cm to kilometers.\nAnswer: 0.2400133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/24 + 2*n**3\/3 - 4*n**2. Let g be l(4). Put g, -5, -1 in decreasing order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 9*a**2 - 2*a - 2. Let y be r(-9). Let j = -11 + y. List the prime factors of (5 - 2 - j) + 2 - -26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85955 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-1 - 2*i + 1) + (-4 - 2*i + 4)*(6 + 9 - 3).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-665)*5\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**5\/60 - x**4\/6 + x**3\/2 - x**2 + 1. Let y(n) be the second derivative of t(n). Let q = -3 - -7. What is y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11709*b*d**2 + 5*b*d + 31*d + 2 wrt d?\nAnswer: -23418*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -129644 and 0.4.\nAnswer: -129643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15657 divided by -2\nAnswer: 15657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.1 - -11.3. Which is the second biggest value? (a) 0.02 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-1 + 2 - 3). Let t = 3 - -1. Is t not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 246*y**2 - 475*y - 1574. What is o(244)?\nAnswer: 1598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 1\/2*x**2 + 2*x - 1\/6*x**4 + 0 + 3\/10*x**5 + 0*x**3. What is the units digit of y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 147667?\nAnswer: -147668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)*r)\/r)\/r*r**(-2\/5)*r*r**(-8)\/(r\/r**(-2\/7)) assuming r is positive.\nAnswer: r**(-619\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -198, -393, -588, -783, -978, -1173?\n\"Answer: -195*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11)\/o)\/o**(-4) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -7633*v**4\/12 - 43*v**3\/6 + 33*v**2\/2 - 6587*v. What is the second derivative of b(i) wrt i?\nAnswer: -15266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212011222222 (base 3) to base 14.\nAnswer: bc449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-56) + ((-76)\/(-14))\/2. Suppose -18 = -2*j + 2*c, -2*c = j + c - 5. Solve 0 = r + j - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002595093 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 53 + 3. Let h = l - 25. Let i(c) = -138*c - 672. Calculate the remainder when h is divided by i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 + 7*r**5\/60 + 5*r**4\/24 - 7*r**3\/3 + 21*r**2. Let a be g(-5). Suppose -7*p - 832 = -a*p. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11\/4 (b) -1\/7 (c) -4 (d) -679\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 439, 657, 875, 1093?\n\"Answer: 218*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = i - 549 + 523 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + 6*k + 7. Let z = -6 - -13. Let d be h(z). Is 1 + d + (-16)\/(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(242))**2 + sqrt(288)*3 + -3.\nAnswer: -30*sqrt(2) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**3 - 4*f**2 - f. Suppose 0 = -9*o + 182 - 29. Suppose 0 = o*h - 24 + 92. Let t(b) = -6*b**3 + 5*b**2 + 2*b. Determine h*y(z) - 3*t(z).\nAnswer: -2*z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -560 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - (52 + -178) - 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11209 - 11203. Let x(y) be the third derivative of -1\/36*y**4 + 2\/27*y**3 - 11*y**2 + 0*y + 1\/180*y**s + 0 - 1\/135*y**5. Solve x(f) = 0 for f.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.26. Let n = -80853 - -80856. What is the second biggest value in n, -4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 901736 or 901735?\nAnswer: 901735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60512*w**3 + 117466*w**3 + 7207*w**3 + 32252*w**3.\nAnswer: 217437*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 15*j - 176 = -13*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/18)\/((-4)\/(-20)) + 1\/2. Which is the second smallest value? (a) -2\/13 (b) k (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 378, 1247, 2932, 5703, 9830, 15583, 23232?\nAnswer: 33047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 39 + 21 = -c, -5*a - 27 = 4*c + 17 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63380 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i**2 - 28*i**2 - 17*i + 7*i - 22*i**2 + 11*i.\nAnswer: -120*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -794397, -794430, -794463, -794496?\n\"Answer: -33*v - 794364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*27\/90\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 220*t**3 - t**2 + 2*t - 1. What is the tens digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 + 6719338*y**3 - 5643684535106*y**2 - 5643704693130*y + 11287382508900 = 0.\nAnswer: -2, 1, 1679835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1034, 1029, 1020, 1007, 990, 969?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + ((sqrt(720) - (-1*sqrt(720) + sqrt(720)))**2 + sqrt(720))*4 - (sqrt(720) + sqrt(720) + 0 + sqrt(720) + sqrt(720))**2*6.\nAnswer: -66240 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 17. What is p(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022011111 (base 3) to base 11.\nAnswer: -18296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/13, 19, 1\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -39.5811.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/6*(2 + 6)*5 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2202314322 - -3?\nAnswer: -2202314314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2880 is divided by 658?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 30*v**2 - 38*v - 9. Let q(h) = h**3 + 9*h**2 - 13*h - 3. Let o(p) = 2*d(p) - 7*q(p). Is o(-10) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054050?\nAnswer: 2, 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102732.1 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -49. Let n(u) = u - 1. Let i(t) = -6*t + 5. What is r*n(b) + 2*i(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 60 = -4*x, 5*x - 3*i + 48306 = 48233 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 149*c - 872. Give h(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 365.3 and 2.\nAnswer: 730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-3)\/(15\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 698 + 1327 = 11*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 4*h + 276 - 76, 62374*q - 3*h = 62365*q + 438 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-16)\/(-1120) + (439401105\/(-50))\/(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*-4*3. Let t = v - 3. Let z be 0 + 36 - (t - 5). Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 203*g**3 + g**2 - 1. Let q(k) = -k**2 - 20*k + 26. Let a be q(-20). Let d = a - 25. Is x(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5418 (base 11) to base 7.\nAnswer: 26604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 4 = -5*z. Suppose 0 = c - z*c - 20, 0 = 5*f + 5*c + 20. Sort -5, f, 0 in ascending order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3672\/(-112))\/51*60\/(-2376)*(-105)\/50?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 101 = 2*w + 136, -32077 + 32119 = 5*w - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, 0, -11, -4 in decreasing order.\nAnswer: 5, 0, -4, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8316 and 155\/10692?\nAnswer: 74844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 0.3, -5\/9, 1, 11, 772, -1?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s - 6 + 8273*s**2 - 8261*s**2 + 296*s**3 - 297*s**3. Determine z(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 19. Give d(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -0.09, 3 in increasing order.\nAnswer: -0.09, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192562*a**5 + 13*a**4 + 2*a**3 - 16860319*a**2?\nAnswer: -11553720*a**2 + 312*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 6*i**4 + 0*i**2 + (-4*i + i + 2*i)*(i**3 - 4 + 4) - i**3 - 2*i**4 + i**3.\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -34 (c) 0.2 (d) 0.37 (e) -2\/7 (f) 1\/2 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**2 + 909*s - 74. What is a(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (-42)\/10 + 9\/(180\/151664).\nAnswer: 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 644. Let b(s) = -2*s**2 + s - 72. What is -b(u) - t(u)?\nAnswer: 6*u**2 - u - 572","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -28*z**2 - 2*z - 3. Let j be c(-1). Calculate the remainder when (-10)\/45 + j\/(-9) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2698120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 u when three letters picked without replacement from {g: 1, u: 4, c: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/60*-6)\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*-1*32472\/28864.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i**11*i*(i**(-2\/7))**(-5))**(34\/7) assuming i is positive.\nAnswer: i**(816\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109831067 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 - -5.632. Let o = z - -0.568. Which is the nearest to 0? (a) 0 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 31*m**2 + 41*m + 150. Does 170 divide j(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 2*w**4 + 6*w**4)*(-4 + 3 - 4 + (-2 + 1 + 3)*(-4 + 3 + 3) + 4 - 2 - 4).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 - 14*g**2 - 11*g - 27. Give s(-6).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18*t - 24. Let c be f(3). Let m be 0 - (c\/75 + 36\/10). List the prime factors of 15\/m*(-4 + 196\/(-3)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yiymyff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-2773)\/(-3666))*4\/26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:20 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122 + 2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 11*q**2 + 9*q - 7. Let c be m(10). Let r = 46 + c. Let l = -16 - -31. Calculate the remainder when r is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11084, 22169, 33254?\nAnswer: 44339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 + -310. Suppose -g + w = v, 5*g = -v + 10*g - 18. Factor 6\/7*c**v + 2\/7*c**3 + 4\/7*c + 0.\nAnswer: 2*c*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175086 minus -5?\nAnswer: -175081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 721342, 721343, 721344?\n\"Answer: a + 721341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 - 2.21. Let l be ((-2)\/(-1) - 1) + (-21)\/27. What is the second biggest value in 0.3, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:26 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90*s - 5*s**3 + 90*s + (-3 - 1 - 2)*(s**2 - 5*s**2 + 2*s**2)*(-4*s - 2*s + 4*s) + (-s**2 - 3*s**2 + 2*s**2)*(0*s - s + 2*s).\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*l + 414*l + 293*l + 518*l - 2030*l.\nAnswer: -349*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0*d + d - 5 + 4*d + 2*d - 4*d + 1 - 1 + d + (4*d - 3*d + 0*d)*(1 + 1 + 0) + 3*d + d - 2*d - 4*d + 0*d + 6*d.\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*n - 10, 5*n + g - 3*g - 58 = 0. Let w = 15 - n. Solve -w*t - 3*u = 25, -2*u = -0*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*b - 1 = -5, 4*b + 6 = -z. Let r(d) = 5 + d**3 + 8 + d - 6*d**z - 14. What is r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12986934 is divided by 2906.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 31*l**2 - 3*l. Let s(v) = 63*v**2 - 7*v. Let q(g) = -44*g - 213. Let w be q(-5). Calculate w*d(b) - 3*s(b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*s + 3413 = -6080 + 1017 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704.744 kilometers in centimeters?\nAnswer: 170474400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-5\/6)\/u))*u*u**1)**39\/(u**(2\/7)*u**(2\/7))**(-50) assuming u is positive.\nAnswer: u**(491\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x - 28. Let w be y(-6). What is the highest common factor of w and 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57277 - 19\/(-1)) + 12. Round h to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 - b1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3346529, -6693089, -10039669, -13386269, -16732889, -20079529, -23426189?\nAnswer: -26772869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55\/2 of a microsecond?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5053030 and 460276.\nAnswer: 232439380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 45*g = -1943. Suppose 2*q + q - 45 = 0. Calculate the remainder when g is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-912)*160)\/(5\/34)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47, 115, 183, 251, 319, 387?\n\"Answer: 68*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108965.\nAnswer: 5, 19, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1261*v**3 + 13*v - 6 - 7*v**2 + 629*v**3 + 0*v**2 + 630*v**3. Determine w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + 5. Let w be ((-8)\/c)\/((-1)\/8). Solve l + 15 = -w*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44415 divided by 7\nAnswer: -6345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by -94180?\nAnswer: 139\/94180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -78217 divided by 1819?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7306 = -437*u - 23396 - 3024 - 9100 for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/4483749 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352208799 - 2?\nAnswer: -1352208801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*w + 31 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -321202022 (base 4) in base 15?\nAnswer: -49c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 4*k**2 + 2. Let s be q(-4). Suppose 3*c - n - 30 = 5*c, s*c = n - 34. Let j = 27 + c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 - 340529*i**3 + 4*i + 46815?\nAnswer: 36*i**2 - 2043174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**2 - 45*h + 2. Let q(m) be the second derivative of -m**3\/3 + 2*m + 3732. What is q(a(v))?\nAnswer: -22*v**2 + 90*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 13*x**2 - 5*x - 12. Let q(n) = -2*n + 123. Calculate the least common multiple of f(12) and q(51).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 - 3*u + 7. What is the tens digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/((-87)\/4437*51).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-108))\/((-30)\/18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -i + 4, 5*i - 20 = 7*m - 11*m. Suppose 2*y - 4 - 452 = m. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 + 5*s + 6. Let j be o(-4). Sort -5, -1, j in descending order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11355.84 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-6) - (17540\/(-3248) + 5) and 107\/1624.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 + 3*q - 1. Let j be z(-3). Suppose 0 = -2*o + 7 - 3. Suppose -6 - 2 = -8*p. Put j, p, o in decreasing order.\nAnswer: o, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01493 to 4 decimal places.\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740 and 615236?\nAnswer: 3076180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23695?\nAnswer: 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.38. Let w be (-11 - -9 - -2)\/(7 + -5). Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -28 - ((-27 - -2) + (454 - 437))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3129326 is divided by 471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -0.0108?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1163 + 1163. Which is the smallest value? (a) q (b) -81 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 - 88. Let h = -134 + c. Solve h = -x + 2*s, s - 16 = -3*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/110)\/(460\/(-105800))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/46535823 and -91\/74505?\nAnswer: 232679115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -633487*d*p + 570640*p wrt d.\nAnswer: -633487*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 + -10 + 10 + -7 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 11) to base 6\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -4.0999763. Round h to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-11 - -40)) + 18.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 9*p - 4. Let s be d(3). Let y(l) = l**2 - 3*l - 10. Let r be y(s). Solve r*k = -3*k - 3*j - 18, 0 = -k + 4*j + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:11 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/30 + (-23)\/(-5). Suppose -2*m + 2*a + 6 = -2*a, -z*m + 15 = -a. Solve k - m = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 2*z + 4. Let i(c) = -c**3 - 12*c**2 + 28*c - 4. Let r be i(-14). Let q(o) = -2*o**2 + 3*o + 5. What is r*q(y) + 5*u(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -1\/482 (c) 0.048 (d) -1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - 9*f. Let s be (-3)\/(-12) + (-6)\/(-8). Let z(k) = -k**2 + k. Let r = -1 - -10. Let x(p) = r*z(p) + s*q(p). Let a(v) = -v. What is a(x(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7732*r - 6998*r = -32296 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - -3.5. Let c = t - -2. Let l = -10 + c. What is the biggest value in 2\/7, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(1008) + sqrt(1008) + sqrt(1008)*2 + sqrt(1008) + -2)*1.\nAnswer: -2 + 61*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (19 + -63 + (1 - -12) + 15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3164.\nAnswer: 12656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 891\/5 - 1\/5. Suppose 5*l = 5*z - 15, 0*z + z = -4*l + 13. Suppose -z*w + k = -287. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 10*z - 3*b = 23, -5*z + 3*b + 35 = 0. Solve 5*n - 13 = 3*c, 2*c - z*c = -8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (21 - (-2 + 6))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 23 (c) 2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -41. What is the tens digit of (16\/8)\/(f\/(-583))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let c be 22*(t - 2)\/(-8). Which is smaller: 10 or c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1651.077?\nAnswer: 8255.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414 + -246. Calculate the greatest common divisor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by -2.\nAnswer: 273\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4641*z. Let i(j) = 46*j**2 + 3*j. Give w(i(n)).\nAnswer: 213486*n**2 + 13923*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3, 73, -5 in decreasing order.\nAnswer: 73, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110011001011110001110 (base 2) to base 13.\nAnswer: -21157ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (27 + -71) - -16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1.3359051?\nAnswer: 2.6640949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.092 - -0.902. Let l = -0.01 + i. Put 0.1, l, 3, 1 in decreasing order.\nAnswer: 3, 1, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/22308 and 17\/341055.\nAnswer: 17734860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 966605.624 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 371.1 at most as big as 26.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 57. Let q = -1 - -0.8. What is the third smallest value in q, 1\/10, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7626 + -7624. Which is smaller: 19\/17 or a?\nAnswer: 19\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/968576 and -103\/99452.\nAnswer: 22277248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 11*m**2)*(-1 + 1 - m**2) to b*m**2 + g + t*m + a*m**3 + d*m**4 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 2*r**2 - 3*r**2 + (3*r - 4*r + 2*r)*(-5*r + 3*r + r) to the form z*r**2 + w + v*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27101 + -27087. Let y be 92 - -1 - (-3 - -2). Let x = y - 53. Calculate the remainder when x is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290 by -58.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*j + 159, 3*j - 84 = 4*u - 5*u. Suppose -u*v + 72*v - 18 = 0. Sort 9, -1, v, -0.2.\nAnswer: v, -1, -0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (320\/960)\/(51\/9)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-20))\/5*(-16)\/156?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Suppose v + z*v = 5*k - 21, -5*k + 2*v + 19 = 0. What is the remainder when 16 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17825 and 1575845?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from fsfsssss?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8351262 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 k when three letters picked without replacement from {c: 1, o: 1, p: 1, k: 7, m: 3}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:15 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15*5*(-4)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 110 = -15*g. Put 0.1, 2\/17, g, -3\/4 in descending order.\nAnswer: 2\/17, 0.1, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71224, 143623, 216022, 288421, 360820, 433219?\nAnswer: 505618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1004, 4068, 9178, 16334?\n\"Answer: 1023*g**2 - 5*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -618706.5.\nAnswer: -618706.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85202, -170408, -255614, -340820, -426026, -511232?\nAnswer: -596438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (576\/(-9360))\/(147\/(-245)*6\/1).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x + 12 - 13 + 5*x. Let a be v(1). Suppose -2*k + 6 = -4*u + a, 2*u = 4*k. Solve f = 3*f - k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 1081*n - 1087*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a century in months?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:42 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186647.\nAnswer: 186647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/4 - (-2)\/(-8). Suppose 0 = o + 3*f + f + r, -4 = -4*o - 4*f. What is t in 0*t - 3\/2*t**o + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:34 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.9 + 6.3. Let w = 41.9 + p. Which is the third smallest value? (a) w (b) 0 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 + 9. Let f be g(7). Sort f, -2, -1 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 72*c - 5. Is 67 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpyp. What is prob of picking 2 p and 1 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 9. Let s(j) = -j + 4. Let c(r) = 7*s(r) - 4*x(r). Let h be c(12). Solve -v + h*v = a - 3, -4*v = a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmnrmekmsmkrks. What is prob of sequence eks?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 3*n**2 + 4*n**2 - 2*n**4 + (3 + 3 - 4)*(-n - n**4 + n) - 520*n**4 - 60*n**3 - 2 + 273*n**4 + 245*n**4.\nAnswer: -6*n**4 - 60*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30972606 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190*a**4 + 3*a**2 - 3 wrt a.\nAnswer: 4560*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 4*f - 3. Calculate d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**4 - 4*u**3 + 3. Let p(t) = -22*t**4 + 11*t**3 - 9. Let r(o) = 11*f(o) + 4*p(o). Differentiate r(m) wrt m.\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**(1\/2)*b)\/b))*b**(-4\/9)*b)**17*(b**(-1\/3)\/b)**24*b**(1\/8)*b*b*b\/(b\/(b*b**(-3\/8))) assuming b is positive.\nAnswer: b**(-407\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 2. Let b = 18 - 6. Suppose -3*j + b = -2*u, 0*j + 3*u = 5*j - 20. Suppose -j*g + 13 + 7 = 0. Give p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udduwdxdws. What is prob of picking 2 d and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.6908 millennia to months.\nAnswer: 164289.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose -3*s = -a*z - 90, s - 3*z - 59 = -s. Suppose 0 = 5*o - 2*y - 44, 4*o - 5*y - s = o. Calculate the highest common divisor of 72 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2534, 2600, 2668, 2738, 2810?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41080?\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -345238 or -345177?\nAnswer: -345177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590021 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15*h - 255 = -269. Are 1\/2369 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 + l**3)*(-2 + 2*l**2 + 2) + l**5 + l**5 - l**5 + 3*l**5 - 4*l**5 + 0*l**5.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggmggigiiiiiiggii. Give prob of picking 1 g and 2 i.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 16. Let l be m(4). Suppose l = 3*f - 7*f + 344. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from {m: 6, x: 4, v: 1, a: 1, l: 4, p: 3}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-686) + 188\/112.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -5*k**4\/4 - 89*k**3\/6 - k**2 + 3*k - 174. What is t(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9382, -12202, -16910, -23512, -32014, -42422?\nAnswer: -54742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**4 + 0*p - 2\/105*p**7 - 2\/15*p**5 + 1\/168*p**8 + 10 + 0*p**3 - 7\/60*p**6 - 4*p**2. Let d(g) = 0. Calculate g.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/1005 (b) -15 (c) -0.2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/328)\/(1\/(-22)*1*-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1 + 94 + -88.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let l = 14641 + -14621. Suppose -3*m = -5*m + 10. Solve -m*v + k*v = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 295*b - 5083. What is i(18)?\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b - 26*b = 65588. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 3*h**2 + 4*h**2 + (-h + 2*h + 0*h)*(-2 + 2*h + 2) + h**2 - 4*h**2 + 2*h**2 + 0*h - 3*h**2 + 8*h**2 - h to z*h + u + n*h**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*a - 7 + 9 - 2 to the form r + z*a and give z.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -208*j + 4167. Give p(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*h + 65*h**2 - 182*h - 88*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14436 and -121\/62556?\nAnswer: 187668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101321 (base 4) in base 12?\nAnswer: a189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -1\/6, 3\/2, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 91*k - 56 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 186?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 - 2\/(-2)). Let x be (2\/h)\/(12\/(-294)). Suppose -m - k = m - 47, 2*m - x = -3*k. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, m: 13}. Give prob of sequence aamm.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 - 248*u**3 - 8936*u**2 - 82560*u + 489600 = 0. What is u?\nAnswer: -68, -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(4\/9))*n\/n**3)\/(n**(2\/15)\/(n\/(((n*n**1)\/n)\/n))))**(-4\/3))**(-26) assuming n is positive.\nAnswer: n**(-3224\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from pysyybbyypybgss.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21172)\/(-26465))\/((1\/(-39))\/((-75)\/(-45)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**2 + 108853413*l - 217706838 = 0.\nAnswer: -36284473, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 - 1. Let d = 5 + -4. Let x be q(d). Solve 4*l = x + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*t - 4 - 227*t + 7 - 261*t.\nAnswer: -374*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-16\/5)\/i)\/i)**13 assuming i is positive.\nAnswer: i**(-338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 2\/7 (c) 13 (d) 0.185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -26*j. Let b(z) = 356*z**2. Give b(y(a)).\nAnswer: 240656*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12820 + -12819.9983555. Round c to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l + 1514 + 1206. Solve l = -4*t + 68 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74213 is divided by 519?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 3. Let t be 2\/(-2 - (-108)\/51 - 484\/935). Determine k(t).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:35 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*d + 35599 = -26247 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101 + 110001101110001011101?\nAnswer: 110001101110101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3*s**2 - 4*s - 2. Let o be z(-2). Suppose -4*a = o*a - 264. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4497.\nAnswer: -1\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 911320 and 230?\nAnswer: 20960360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/30 and -9\/15980.\nAnswer: 47940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62896\/5 + -12579. Put -7, -179, z in decreasing order.\nAnswer: z, -7, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -47839148563?\nAnswer: 47839148569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmxd when four letters picked without replacement from ddmmxddmmmxdd?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2970*-8.\nAnswer: 23760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + -3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131142 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -4*c + 16, 639*m = 635*m - 3*c + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:13 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 + 15*c - 7. What is m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 - 2 - 3 + 14*y - 25 + 6 = 0. Calculate y.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let b(a) = -3*a + 4. Determine b(t) + 2*z(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295066200 = -1056*w + 990*w. Round w to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrlrtrralrrrlqasrlr. Give prob of sequence rt.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102250.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-5) - -4 - -50. Calculate the highest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7645*d**3 + 3830*d**3 + 3820*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(4)*-4)\/(sqrt(32)*-3).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 10. Suppose -q*m = -2*v - 289, 5*m - 5*v - 145 = 150. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 10, t: 2, q: 3, h: 1, p: 2}. What is prob of sequence hq?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1388, 48694, 0 in ascending order.\nAnswer: 0, 1388, 48694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/5 + 19*y**4\/3 + y**3\/6 - 9*y**2\/2 - 2*y + 6. Is w(19) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*12\/(6\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6733 + 8461 = 2*i + 70*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1805*f**2\/4 - 855*f - 405 = 0. Calculate f.\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 56\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l. Suppose -h - 1 + 3 = l. Suppose 2*n + 0 - 2 = 0, -5*w + 37 = h*n. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 58*c**2 + 30*c - 1738. Give z(58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.1. Let q = n + -0.7. Let m = q + 1. Which is the biggest value? (a) -4 (b) -1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 + 455*b + 451*b - 2 + 2 - 906*b.\nAnswer: -55*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3359, 16383, 38079, 68447, 107487, 155199, 211583?\nAnswer: 276639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -67, -92, -111?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2363*t**2 + 2374*t**2 - 4733*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**6\/120 + q**5\/60 + 5*q**2 - 7*q. Let s(a) be the first derivative of j(a). What is the third derivative of s(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w - 28*w - 14*w + (2*w + w - 2*w)*(0 - 3 + 4).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 49*b - 51*b - 1968 = 2215 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 6. Let d be y(-6). Let b = d - -5. Suppose b*k + 3*g = 98, 2*k - 3*g = 4*k - 41. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Let o(x) be the first derivative of -1 + 0*x**2 + 0*x + 1\/3*x**3. Give q(o(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288) - (sqrt(288) - (sqrt(288)*-1 + 4)))*5)**2*6.\nAnswer: -57600*sqrt(2) + 182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 8 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/12)\/((-2)\/12). Suppose -2*n = 4*x - 260, -x + n + 71 = w*n. What is the tens digit of ((-4)\/6)\/((-3)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.9 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 58 - 32 + 6*a - 18 - a**2. Give z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 124, 0.5, 999, 2\/19, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f*k**2 + 18*f*k*r - f - 4*k**2 + 11*k*r + 294181*r wrt k.\nAnswer: -14*f*k + 18*f*r - 8*k + 11*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 142 - 45 - 1164*i - 53 - 44 as a + s*i and give s.\nAnswer: -1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + d + 1611 = 6*d, -5*a - 2021 = d. What is the tens digit of (-2)\/10 + a\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -29*x**3 - 5*x**2. Let f(q) = -15*q**3 - 4475*q - 3*q**2 + 4475*q. Determine 5*f(l) - 3*v(l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 21*z - 6. Let o(p) = -45*p**2 + 190*p + 55. Suppose -5*g = 5 + 25. Let d(y) = g*o(y) - 55*c(y). Factor d(w).\nAnswer: -5*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1419561193 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = 2*v - v, -4*z = 0. Suppose 5*n + 4*w = 55, -2*n = -3*w + v - 0. Solve -2*d = -n + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 1686.\nAnswer: -1685.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 682755 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 4*p - 342, -6 = 2*p. What are the prime factors of v?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -38.4. Let v = 3.6 - n. Let m = -1 + 0. What is the second smallest value in m, v, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by (-199)\/(-4) + 180\/(-240).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21626252, 43252487, 64878722, 86504957, 108131192?\n\"Answer: 21626235*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let l(i) = i**3 + 3*i**2 - 3*i + 5. Let f be l(-4). Let a be -1 + f - (-11 + 1). Let t be 6\/15 + 46\/a. What is b(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5775 divided by -825.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*2337\/41. Suppose 0 = -2*f + 10, 0 = -s - 5*f + p + 11. Solve 3*z - s*y = 17, -4*y = 3*z - 5 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 41. Suppose 0 = 5*h - 4*r - 123, 0 = m*h + r - 46 - 65. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:09 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*y - t, -2*y = -y + 4*t - 4. Let o = -11 + y. Suppose 0*b = -5*b + o. Calculate the lowest common multiple of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(14)\/(sqrt(7) + sqrt(28)\/sqrt(4))))**2.\nAnswer: -75*sqrt(2) + 475\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j**3 + 14*j**3 + 5*j**3)*(-1 - 2 + 4)*(1 + 3 - 2) to o*j**2 + t*j**3 + r*j + m and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46540 - -790953\/17. Which is bigger: x or -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241*0.56.\nAnswer: 134.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -501.74 + -10.26. Let s = -357 - a. Let x = 156.07 - s. Round x to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**5 - 2*r**4 - 2*r**3 + 5*r**2. Let v(k) = -k**5 + k**4 + k**3 - k**2. Let f(b) = j(b) + 2*v(b). What is the third derivative of f(d) wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(1*32))\/((-1429)\/(-331528))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1884909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/15110 and 61\/28.\nAnswer: 211540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60104299?\nAnswer: 17, 3535547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + 1.29. Let f = d + -0.1. Which is the nearest to f? (a) -3\/4 (b) -2\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36645833?\nAnswer: 7, 191, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -830, -3299, -7410, -13163, -20558, -29595, -40274?\n\"Answer: -821*x**2 - 6*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -8129116?\nAnswer: -24387348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902150 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 891 and 891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 74888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdpdp. What is prob of sequence pdpd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4250 and 8996060?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 7 - (1 + -1). Suppose x = -2*z + z + 4. Factor 4*t**3 + 0*t**3 - 123*t**z + t**5 + 118*t**4.\nAnswer: t**3*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 108, 207, 354, 555, 816, 1143?\n\"Answer: v**3 + 15*v**2 + 5*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwwhuhhhw. Give prob of sequence uhvv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2 + d**3 + 0*d**2 + 0*d - 1\/3*d**6 + 0*d**5 + 0*d**4. Find the third derivative of p(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/65 - (-18)\/90\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218902736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 12) to base 3.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 10. Let v be i(-7). Find the first derivative of 4 + 5 - v - 4*f**4 - 1 wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/(-3))\/(2\/(-6)). Let b = -26 + h. Let p = b - -9. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12028061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/(8\/(320\/(-12)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1749*l**2 + 3743?\nAnswer: 3498*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(2 - -1) + 3. Let t = -13 + b. Sort t, -10, -1 in decreasing order.\nAnswer: t, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (288\/15)\/(4\/(-32500)). What is b rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 92. What is the remainder when 10*1*4 - -2 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*n - 429 - 28 - 203 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n. Let j(w) be the second derivative of -5*w**4\/4 + 5*w**2\/2 - 10*w + 14. Calculate j(i(x)).\nAnswer: -540*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.341 and 3.\nAnswer: -1.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**4 + d**2\/2 + 6*d + 12. Let t(i) be the first derivative of u(i). Find the first derivative of t(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*g = 517 + 82, g + 240 = 2*q. Calculate the greatest common divisor of 68 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -363*b**5\/2 + 117271*b**4\/6 + 18835*b**3\/3 - 15070*b**2 - 9276*b - 1296 = 0.\nAnswer: -6\/11, -2\/9, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 55. Suppose 0 = z*s - 15 - 97. Is 8\/(-2) + (s - -6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, a: 3}. Give prob of sequence aa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. Let m(z) = z**2 - 4*z. Suppose 4*b + 4 = -4. Let q(c) = -c**3 + 3*c**2 + 13*c - 16. Let w = 77 + -72. Let v be q(w). Give b*l(t) + v*m(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**(2\/21)\/(c\/c**(-1\/2))**(-39) assuming c is positive.\nAnswer: c**(17207\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 + -166. Let p = x + -25. Suppose 0 = 4*r + 4*g - g - 171, 2*r - 3*g - 63 = 0. What is the remainder when r is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7801 + -7802. Which is the closest to -0.0355? (a) -3 (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 greater than 0.121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*u = -682*u + 2429. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -28*g**3 + 40*g**2 - 147*g. Let z(v) = 14*v**3 - 19*v**2 + 73*v. Let d(q) = -3*c(q) - 5*z(q). Find the second derivative of d(y) wrt y.\nAnswer: 84*y - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 7\/4 (b) -173 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + u = 5*u - 9021, -4*b + 2*u + 7222 = 0. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*z = -2545 - 4664 + 621 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-4 - -8) + (3 - -1). Solve -u - y + i = 0, 3*u + 5*y = -0*y + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*1 - (-3)\/(-6). Is 4242 - (55\/33)\/(g\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 87 = 92. What are the prime factors of -1 - -2 - (-661 + -3 + s)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-9 + -6) - ((-1 - -5) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -727567*o**4 - 77*o**2*t - o + 1194760*t wrt o.\nAnswer: -8730804*o**2 - 154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12934748 is divided by 6467234?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12716 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1443 - 1443 + 459*q.\nAnswer: 459*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-455)\/728)\/((-5)\/12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27120 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15549, 15357, 15165, 14973?\nAnswer: 14781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -11*y - 4679, -14*g + 12*g + 3*y + 1866 = 0. What is the greatest common divisor of g and 5356?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*-1 + (sqrt(7) + ((sqrt(7) + 0 + sqrt(7))*5 - sqrt(7)) - sqrt(7))**2.\nAnswer: -sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 20.00000023. What is k rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1140620*l**2. Let x(h) = 4*h**2. What is i(x(u))?\nAnswer: -18249920*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 3*j**2 + j + 3. Let p be g(-3). Suppose p = -2*w + 1 + 3. Suppose -n = 0, -4*q + n = -w*n - 28. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = 2. Let s be 45\/2 + w\/2. Calculate the highest common factor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1101 - 465. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 - -226 - (-2 + (1 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19156, 37808, 56460, 75112, 93764, 112416?\nAnswer: 131068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/3)\/((-159492)\/(-39870) - 4). Let x = -6155 + q. What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 9. Suppose t*o = 4*o + 2523. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -5*h, -3*h + 0*h = 12. Let d be 445\/(-65) - -2 - 2\/13. Is d < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 2*a + 2, 15 = 5*a. Solve g*j = 3*c - 1, 2*c - 2*j = 3*j + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33 + -19 - (-123)\/(-9). Which is the biggest value? (a) 0.3 (b) -3 (c) 1 (d) j (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2)**2 + -4.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**4 - 25*s**3 + 2325*s**2 + 19825*s + 17480 = 0.\nAnswer: -19, -8, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1171, -1756, -2341?\nAnswer: -2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -1*(-24)\/4. Suppose -l*s - 9108 = -14*s. Let b = s - 1208. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -3*m + 307. Let x(o) = -9*o + 197 - m. Let y = -9 + -3. Let c(k) = k. What is y*c(j) - x(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -175 + 175 + v**2. Let h(y) = -2*y. Give h(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(57)\/(sqrt(27)\/sqrt(9)) + -4.\nAnswer: -7 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 18*z**2 + 57*z - 12. What is y(4)?\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:17 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 0)*(-12 - -13). Suppose 0 = c + 5, 3*v - s = v + 2*c. Suppose -5 = -v*u - 3*u + 2*i, -15 = -3*i. Solve -4*a + u - 1 = -5*g, 3*a + 2*g = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 167950785, 167950787, 167950789, 167950791?\n\"Answer: 2*d + 167950783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 12) to base 15.\nAnswer: -e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 12) to base 7.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4))**(19\/5)*z**4\/(z**(2\/15)*z))**(-7\/8) assuming z is positive.\nAnswer: z**(259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 8. Let b be k(7). Let m = b - 16. List the prime factors of 3\/m*(6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3688 by -4.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28f70 (base 16) in base 8?\nAnswer: 507560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*a + a. Let m = a + 2. Let f = m - 4. Put -5, f, 3 in decreasing order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2 - 848\/265. Let c be (-4)\/1 - 84\/(-18). What is the second smallest value in -2\/13, 0.5, f, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7522 + 42438104.\nAnswer: 42430582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1068)\/6*(-1)\/(-2). Let w = b + 280. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -87*a + 7047. What is w(81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/2*0. Let q(u) = u**2 + 0*u**2 + k*u**2 - 6*u + 7. Let f be q(5). Solve 5*o - 6 = -f*p, o = 5 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1566*h - 11173 = 1565*h. Suppose 2*y = 3*f + h - 52732, -69265 = -5*f + 2*y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -11) + (3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 13*x - 28. Let a be p(15). Solve z - 8 = -3*s, 2*s + 10 - 2 = a*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -23, -74, -177, -350, -611?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/60 + y**4\/8 + y**3 - 4*y**2. Let t(g) be the first derivative of c(g). Differentiate t(o) with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 4.00087?\nAnswer: 4.00087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 469 = 41*k + 77 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 2*l - 20, -3*u - 12 = -2*l. Suppose 4*y = -l*y. Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-36)\/270)\/((-24)\/(6240\/(-14)))?\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 greater than -2182\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -2. What is the least common multiple of d\/(-14) + 276\/42 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -456319 greater than -456167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 9) to base 8.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(198)\/sqrt(144))\/((sqrt(22) + sqrt(110)\/sqrt(5))\/sqrt(11)).\nAnswer: -2 + sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151148\/3 + -49622. Which is greater: 760 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(88)\/sqrt(2) + -2)*-4 + -3)**2.\nAnswer: -80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 5\/25) + (-4)\/5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 + 2)*(-10 + (-420)\/(-50))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 28*v**3 - 14*v**3 + 11*v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/4 + 12*o**3 + 155*o**2\/2 - 6871. Factor s(c).\nAnswer: c*(c + 5)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a. Let y(u) = -58696*u**2. Determine b(y(g)).\nAnswer: -704352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from aaciiiaaiicalce?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3733, -3732, -3721, -3694, -3645?\nAnswer: -3568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 48. Suppose 20 = y + 2*b, 3*y - b - 2*b - c = 0. What is the units digit of (-2)\/(3\/y*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1102680 divided by -18378.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 390563 < 390564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.29419435 rounded to 3 dps?\nAnswer: -2.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/509762 and 57\/509762.\nAnswer: 509762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 0 + 2 - 2 in the form t*o + w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953 - l**2 + 115*l - 953 - 466*l.\nAnswer: -l**2 - 351*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttddtt. Give prob of sequence dt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42519881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 3*z**2 + z**3)*(2 - 1 + 2) + (z + 0*z - 2*z)*(2*z**2 + 5*z**2 - 5*z**2) to b*z**3 + g + m*z**2 + x*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -814, -816, -820, -826?\n\"Answer: -q**2 + q - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 - 14.34. Let r = 13.6 + p. What is the second biggest value in 0, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.331 - -0.358. Let l = 0.797 - r. Round l to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 861696923\/1024 + -841501. What is the common denominator of -137\/144 and h?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1801, 1768, 1737, 1708, 1681, 1656?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 8*v - 50 = 6*c - 25*c, -2*c = v - 41 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 12*u, 2*u - 15 = -3*m. Solve -3*c = -2*n - 6, 0 = 3*c + 5*n + m + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/((-42)\/72)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*z**2 + 4*z**2 + 95*z**2 + 112*z**2 - 56*z**2 to the form r*z**2 + t*z + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**3 - t**2 + t - 1. Let s be q(1). What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + -2*(-3 + 1*sqrt(567)*4*2) + 1.\nAnswer: -144*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f - 19*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 181847?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/99*18\/(-4)*(-79 - -7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22858*b + 47613*b + 67143*b.\nAnswer: 137614*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -478168*c. Let w(p) = 2*p**2. What is g(w(d))?\nAnswer: -956336*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -86\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**5 - s**4 - 431*s**2 + 4034*s + 2 wrt s?\nAnswer: 80*s**3 - 12*s**2 - 862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*d = -48, -g + 4*g + 3*d - 24 = 0. Suppose -10*f + 12*f = g. Suppose f*n - 2*n = 8. Solve 5*z - v + 29 = n*v, -2*z - v - 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 14 = 2*n. Suppose -22*g + 25*g - n = 0. Solve m = 6*m + g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 6*b**3 + 4*b**3 + (8*b + 4*b**3 - 8*b)*(-2 + 3 + 4)*(-10 + 3 + 16).\nAnswer: 181*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 28186\/(-102). Let u = q + 432. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199483, 399354, 599225, 799096, 998967?\nAnswer: 1198838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25713 + 0.19713. Let w = -0.5 + 0.3. Suppose -4*t = -4*i - 2*t + 22, -14 = -3*i - t. Which is the nearest to s? (a) i (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 3*g - 12. Let f be r(5). Suppose -k + 260 = f*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12829 and 0.393.\nAnswer: -5041.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1318, 3029, 5134, 7633, 10526, 13813, 17494?\n\"Answer: 197*y**2 + 1120*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 206, 167, 132, 107, 98, 111, 152?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.7751 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 385414 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*u**2 - 11*u**2 + 14*u**3 + (-5*u + 4*u + 0*u)*(1 - 1 - u**2) + 20*u**2 - 20*u**2 - 21*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 - 18 = -67*h - 333 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/14337589, 5 in decreasing order.\nAnswer: 5, 3, 2\/14337589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 64. Solve q + 1 - 3 = a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 26 + u - u - 58*u**3 - 2*u.\nAnswer: -58*u**3 - 2*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (-66 + (-117 - -126)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3248, 6481, 9714, 12947, 16180?\nAnswer: 19413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10335 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 6 - 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s. Let m(i) = 48*i. Let r(w) = -3*w - 11. Let q be r(-8). Let j be ((-12810)\/78)\/(-5) + 2\/q. Calculate j*h(t) - 2*m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5))\/(x\/x**(1\/7))*(x**(2\/5))**(-1\/4))\/((x*x**(-2\/9))**(-18\/7))**12 assuming x is positive.\nAnswer: x**(1333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(1 - 1 - 2*f)*(-897 - 92*f**3 + 899 - 62*f**3) to v*f**2 + b*f + q + y*f**3 + t*f**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6 - 2 - 2*r - 26 + 34. Let i(o) be the second derivative of o**6\/60 + o**3\/3 + 3*o. Let y(c) be the second derivative of i(c). What is t(y(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 958?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, 0, -3\/7, 3, 50, -3 in descending order.\nAnswer: 50, 3, 1, 0, -3\/7, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c**2 + 844*c - 356. Calculate a(84).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -48*l**2 + l. Let o be b(1). Let n be -1*(-3 - o)\/(-4). Solve -5*f + n = 3*i + 3, -4*f + 4*i = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*l + 6748. Suppose -9*v + 2*d = -5*v - 1286, 0 = -3*v + d + l. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13234 + 13303 - ((-47 - -3) + 1)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7690*s**2. Let u(m) = -m. Determine u(o(v)).\nAnswer: -7690*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 3*n + 1. Let x be h(2). Let v be (-906)\/(-15) - (-4)\/(-10). Suppose -b + v = 4*b. Solve 0 = c - 4*c - b, 3*c = -x*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 3*o**2 - 4 + 1)*(-396*o**2 + 198*o**2 - 182*o**2) as u*o + j*o**2 + p*o**3 + n + h*o**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -25.\nAnswer: 22\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 403583419*h**4\/8 - 1214026983*h**3\/8 + 4919523*h**2\/4 - 6653*h\/2 + 3 = 0?\nAnswer: 2\/739, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5404 by -16.\nAnswer: -1351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 16 = -23*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2134*z**5 - 2*z - 170.\nAnswer: 42680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299 * 2838.6.\nAnswer: -848741.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9651, -38811, -87411, -155451, -242931, -349851, -476211?\nAnswer: -622011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29924.\nAnswer: 2, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(180) + 1)*6 + 3 + 1 + sqrt(180) + 5).\nAnswer: 15 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121725759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3499 - 3494. Let q(y) = 7*y**2 - 3*y - 1. Let j(a) = -6*a**2 + 2*a. What is w*j(i) + 4*q(i)?\nAnswer: -2*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -472, -952, -1438, -1930, -2428, -2932?\n\"Answer: -3*r**2 - 471*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103774053829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -4263, -281\/77?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 347814 divided by -2147?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063255 rounded to six decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-42) + -6 + 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**18\/(w**(9\/8)*w) assuming w is positive.\nAnswer: w**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 140 = 300. Sort 4, 1, i in decreasing order.\nAnswer: i, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*(-2*sqrt(2816)*-4 - sqrt(2816)))\/(3*sqrt(100) + sqrt(16)*-1))**2.\nAnswer: -1103872\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -108. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z - 76. Let d(g) = -20*g + 63. Let t be d(4). Does 22 divide o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/15, 7, -4, 10\/11 in increasing order.\nAnswer: -4, 2\/15, 10\/11, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affdfafadafaafa. What is prob of sequence dfd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304342687.\nAnswer: 3, 197, 3899057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*h = 1, -5*h + 4*h + 2 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348 (base 15) to base 8.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6 + 204137*h**3 + h**2 - 87770.\nAnswer: 120*h**3 + 1224822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13031113 (base 4) to base 15.\nAnswer: 8b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 5880 = 49*c. Calculate the greatest common factor of c and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 22760783?\nAnswer: -22760777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*p + 24 = -8*p, 0 = -4*p - 16. Let n be -4 + x\/((-1)\/(-27)). Find the second derivative of -l**4 + l**4 + 18*l - n*l + 6*l**5 wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517 divided by -517\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 122 = 5*z, z + 6*b - 25 = 5*b. Suppose -8*f + z*f = 8190. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988636.1 centuries in millennia?\nAnswer: 98863.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -1, -10\/7637?\nAnswer: -10\/7637","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.838, -2, -1\/3, 0.5, 19, 0.05?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/336*(-19)\/((-190)\/7120).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 34*l - 5. Suppose l*i + 35 = -25. Is -10 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2332, -2284, -2106, -1714, -1024, 48?\n\"Answer: 14*a**3 - 19*a**2 + 7*a - 2334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -26*q**2 - 68*q - 109. Give g(-2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -11, -14 in decreasing order.\nAnswer: 1, -4, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 10. Let d be 0 + 11 + (-2 - 2). Let m(b) = -8*b + 19. Let g(f) = d*h(f) + 4*m(f). Let y be g(-5). Solve -y = -4*z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -19 - (3947 - 3995).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*p - 5*p. Let t(g) = p + g**2 + 0 + 6 + 13*g - 19*g. Give t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8 - (-5 + 0)) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 5*q**2 - q**2)*(0*q - q - 4*q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:59 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14.908. Let s = -5.008 - z. Let q = -5.047 - s. What is q rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:00 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l + 4)*(-40*l + 13*l + 14*l) + (-3*l + 2*l - l)*(-l + 2*l - 2*l) - l**2 + 0*l**2 - 2*l**2.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.020343 - -0.070943. Let g = 5.609 - 5.7. Let x = g + t. What is x rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9571.274 kilometers?\nAnswer: 957127400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/18))**3 assuming x is positive.\nAnswer: x**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 380 (base 12) to base 3\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 3) in base 11?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 179, 374, 663, 1046, 1523, 2094, 2759?\n\"Answer: 47*g**2 + 54*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 1, -29.\nAnswer: -29, -4.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 555 divided by -4\nAnswer: -555\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 4 - 2 + 5 - 2*k**3 - 4*k**4 - 2*k**2 as s*k**3 + x*k**4 + g + w*k + a*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 15. Calculate the remainder when 10 is divided by ((-36)\/6)\/(m\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/5*(-2)\/6. Let y be 1\/((-3)\/(-5 + g)). Let a = 7 - y. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*(27\/(-21))\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - -12.09. Let j = 8 - k. Let y = -0.52 + 0.02. Sort j, 3\/5, y.\nAnswer: j, y, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 1, y: 4, g: 3}. Give prob of sequence ggyg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 3, n: 1}. What is prob of picking 3 j and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 14*p**2 - 6*p + 119. Calculate the remainder when 435 is divided by c(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 21*j - 21. What is the remainder when 1830 is divided by r(-17)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 2, t: 11}. What is prob of picking 1 d and 1 t?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/((k\/k**11)\/k)*k*k**(9\/5)*((k*k**(-34))\/k)\/k*k**(-2\/29)*k assuming k is positive.\nAnswer: k**(-2649\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1363.6108?\nAnswer: 1363.6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*d - 4*d + 3*d) + d - 9 + 9 - 2*d + 0*d + 0*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/555 (c) 4 (d) -4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7991876.\nAnswer: 2, 1997969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103298 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 18*i + 40180. Does 55 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46508 divided by 2114\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*i - 35 = 0, -3*z + 14 = 1372*i - 1376*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 45*h + 146 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k - 4243 + 651 = -1512 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 24*y - 8. Let g(d) = -d + 1. Calculate -f(u) - 8*g(u).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*k + 9, 0 = -2*k + 2*r - 0*r + 4. Suppose -k*i = 2*n + 38, -3*i + 57 = -3*n - i. Let l = n - -22. Solve -2*x = -q - 3*q, -3*x = -l*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 - 1425*i**2 - 398.\nAnswer: -1425*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5255 is divided by 662.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 13. Determine i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4.6. Let n = 4.1 + -4. Let h = n + 0.4. Sort 1, h, a in decreasing order.\nAnswer: 1, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:19 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 6, -5*j + d + 16 + 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4 + 1, -2*p + 2 = 4*b. What is the fourth biggest value in -5, 0.4, p, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14956)\/(-157038) - 222\/(-4)*68\/63?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + 5*n - 1. Let c be v(4). Suppose -2*j = -c*o + 88, 2*o + 4*j = 2 + 62. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 77 = -3*w, 829*w = 815*w - 4*n - 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h + 1. Is t(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 - 37789*g**3*k**3 + 7*g**3*k + 148*g**2*k - 9*g*k**3 + 32199*k**3 wrt g?\nAnswer: -48*g - 226734*k**3 + 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-1*(-2 + 3)). Suppose 3*x = -i - 9 - 3, -c*i + 20 = -5*x. Sort 26, i, -0.1 in ascending order.\nAnswer: -0.1, i, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 13*c + 11. Let g(n) = -3*n**2 - 6*n - 5. Let r be 5\/(-15) - (-146)\/6. Let t be r\/5 - (-3)\/15. Let v(w) = t*g(w) + 2*i(w). What is v(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let r(a) = 101*a - 13971. Determine r(x(c)).\nAnswer: 101*c**2 - 13971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 1264095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 + -107. Let i(y) = y**3 - 3*y**2 - 6*y - 5. Let z be i(5). What is the greatest common factor of o and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-15 - -12) + (-27 - (2 - -4))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 9*u + 15. Let b(x) = -8*x - 12. Let z(t) = -5*b(t) - 4*q(t). Let d(m) = 2*m. What is z(d(i))?\nAnswer: 16*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcmhrmnf. Give prob of sequence hhf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3635, 14535, 32723, 58217, 91035, 131195?\nAnswer: 178715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkhwyssywhhkhksc. Give prob of sequence sk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 12*h**2 + 11*h + 6. Let p be j(15). Suppose 642 = 3*q - 3*x, -4*x = -4*q - 2*x + p. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140667.\nAnswer: 3, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -238, -804\/7, 0.4.\nAnswer: -238, -804\/7, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1326757, -2653517, -3980277?\n\"Answer: -1326760*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1007 (b) 0.1 (c) -3\/4 (d) 2\/9 (e) 1\/108 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18617568, -37235140, -55852712, -74470284, -93087856, -111705428?\nAnswer: -130323000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 429*a - 2528. Let q be w(-6). Solve 59*o - 49 - q = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v + 4*v**2 + v**4 - 25*v - 2 - 10*v**2 in the form g*v + u + w*v**4 + t*v**3 + h*v**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 16*n = 3*i + 73, 5*n + 4*i = 460. Calculate the greatest common factor of n and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. What is the remainder when (-195)\/(-15)*4\/4 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 22 = 3*w - 23, 4*w - 4*h = 52. Calculate the highest common factor of w and 1820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*x - 28. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**2\/(j*j*(j\/j**(2\/5))\/j*j)**24)**(7\/2) assuming j is positive.\nAnswer: j**(-3241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 less than -36949?\nAnswer: -36856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and -23\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*v**5 - 80956*v**4 - 103119668*v**3 - 1808394332*v**2 - 4348936764*v - 2287958760 = 0. Calculate v.\nAnswer: -2521, -15, -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90145.079424 + 89912.08. Let g = -233 - u. What is g rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*n = -2*c - 69, -147 = -2*c + 3*n. Suppose -9*k + 11*k - 16 = -2*i, -c = -4*i + 4*k. Solve 2*r - 1 = 3*v, 6*r + i = 2*r + v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 10 (b) 28 (c) 3.1 (d) -75 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a factor of 268062999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 75*d**3 + 5*d**2 - 5*d + 5. Let m(w) = -112*w**3 - 8*w**2 + 8*w - 8. Suppose 56 = -4184*y + 4191*y. What is y*h(i) + 5*m(i)?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -7*n**4\/12 - 5*n**2\/2 - n + 16. Let r(i) = 3*i**2 + 3. Give -3*a(u) - 5*r(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r**2 + 486*r**2 - 66*r**2 + r + 6*r - 6*r.\nAnswer: 353*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 72 (b) -0.3 (c) -1\/3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -24*h**3 + 12*h**2 - 3*h. Let u(a) = -47*a**3 + 24*a**2 - 7*a. Let o(p) = -7*q(p) + 3*u(p). What is the third derivative of o(m) wrt m?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 6. What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**3 - 3*u**3 + 0*u**3 + 11*u**2 + 6*u**3 - 11*u**2 + (4*u**2 - 4*u**2 + 5*u**2)*(0*u + 0*u - 3*u) + 2*u**3 - 3*u + 3*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/20, -0.1, 0.2, -1\/5, 23, 6.8?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 700\/170 - 8\/68. Suppose -5*i + z = 4*b - 52, -4 = i - 3*b. Let v be -1*3*6\/9. Sort v, i, 4 in descending order.\nAnswer: i, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 2. Let s(m) = -34*m**2 + 36*m**2 - 35*m**2 - 22*m**2 - 58*m**2. Calculate a(s(l)).\nAnswer: -25538*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 10*j**3\/7 - 291916*j**2\/7 + 467032*j\/7 + 33360 = 0.\nAnswer: -2\/5, 2, 29190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/3 (b) -3\/2 (c) 2\/17 (d) -13\/4 (e) 0.2 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 251255*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:10 AM?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.50805km in nanometers?\nAnswer: 49508050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -205, -423, -641, -859?\n\"Answer: -218*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let r(j) = j - 6. Let p(g) = -g + 7. Let n(m) = -2*p(m) - 3*r(m). Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-9) - (-4)\/18. Let o be (36*(-26)\/416)\/((-1)\/(4\/3)). Solve 0 = -5*m + 2*w, -m - b*w - o*w + 27 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 4) to base 14\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 57 - 34*y + 30*y + 1100 as d*y + t and give t.\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*d**3*l**2 - 18*d**3 - 8837*d**2*l**2 + 16671*d*l wrt l.\nAnswer: 84*d**3 - 17674*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-185)\/15 + 6\/(-9). Let r = 19 + t. Suppose r*w - 20 = 2*w. Solve -20 = w*i + 5*a, 0 = -i + 6*i - 3*a + 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*o - 0*c - c, -5*c = -5. Let p = -6 + o. Suppose -254 = -3*q + 5*n - 2, p = 4*n - 12. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvz when three letters picked without replacement from vvvvvzvvvvvzvvvvvz.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -422 + 402 + 0*b**2 + 5*b**2. Let p be w(4). Calculate the greatest common divisor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2187 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5807 - -9777. Suppose -5*u + 3*u + k = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/10 + 5*q**4\/8 + 19*q**2. Find the second derivative of w(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1924*h + 960*h + 21*h**3 + 964*h.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2*z + 2. Let v be q(-3). Let u = 199\/20 + -39\/4. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - f + 6*f - 10*f + 18 + 3*f. Give q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 190 + 172 = -4*q, 2*t = -5*q - 12. Put t, -7, 1 in descending order.\nAnswer: 1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 541 + 539 + 7*g + 0*g - 2*g - 5*g**2. Let w be 1\/((6\/8)\/3). Calculate t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -77 in descending order.\nAnswer: 4, 2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.58933 rounded to 2 decimal places?\nAnswer: -2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:41 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 0.2. Let u = -0.62 - -0.52. Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2537 (base 8) to base 9.\nAnswer: -1787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16463 - 7178. List the prime factors of l.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6419 + 0*t - 6423 - 2*t. Calculate x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = 1917 - 2043. Solve y = 43*d - 37*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50508 is divided by 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392547 and 13158.\nAnswer: 2355282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o**2)*(-78*o**2 + 154*o**2 - 1 - 2*o - 75*o**2) + (5*o**2 - 4*o**2 + 0*o**2)*(3*o - 3*o + 11*o**2).\nAnswer: 9*o**4 + 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 4*d + 12 + 2, -3*d = -9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zze when three letters picked without replacement from {l: 7, z: 2, e: 3, g: 2, b: 1, p: 5}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:37 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 4. Suppose g*o = -o + 25. Let s(h) = h**3 - 4*h**2 - 5*h + 4. Determine s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1584) + (sqrt(1375)\/sqrt(5))**2.\nAnswer: -12*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 5*x + 12*x = 0. Let s(l) = -2*l + 76. What is the remainder when s(x) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose -j - 3*u = 4*j - x, -3*u = -5*j + 27. Let s(a) = 5*a**2 + 9*a - 13. Let p be s(2). Solve -2*k + p = j*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 7. Let z(d) be the third derivative of d**5\/60 - d**3\/6 + 879*d**2. Determine w(b) + 3*z(b).\nAnswer: b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, -426, -896, -1418, -2010, -2690, -3476?\n\"Answer: -3*f**3 + f**2 - 418*f + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 11*r - 3. Let d(s) = -s**2 - 10*s + 11. Let i be d(-10). Suppose 0 = u + i - 3. Is y(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498\/21 + 2\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2)\/w*w*w)**39*(w\/(w*w**(2\/15)))\/(((w*(w*w**(2\/19)\/w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(11617\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/((-2)\/15). Solve -3*z - 3*k = 10 - 4, 30 = -p*z + 5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 2*y + 1. Let d(a) = 6*a**2 - 4*a - 3. Calculate -3*d(f) - 5*v(f).\nAnswer: -3*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2070*f - 2015*f - 4070 = 0. What is the highest common factor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 160 = 3*m - 4*v, 3*m + 3*v = 99. Solve -s - 13 = -5*f + 2*f, 0 = 5*s - 4*f + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:25 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 14*h**2 + 0*h**2 - 2*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.39995395 + 54.4. What is y rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270306?\nAnswer: 2, 3, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y - 2*u + 4, -2*u = 3*y - 5. Suppose -3*b = -2*p + 37, 18*b = 17*b - 3*p - 27. Put y, 0, b in ascending order.\nAnswer: b, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, -3, -39, -93, -171, -279?\n\"Answer: -f**3 - 17*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 295 - 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 11, 3, 5, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + 18\/(-14). Let v(k) = k**3 + 3*k**2 + k - 2. Let o be v(-2). Let b = q + o. Which is smaller: -1\/6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1191 + 1195. Let h be 6 + 1\/(-3 + 2). Suppose -3*v = 5*m - 2*m - 297, -h*m - b*v = -498. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 + 19*z**2 - 4. Let p be m(-9). Suppose 2*c - 30*w = -27*w + 3452, -3*c + 4*w + p = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + (-1687)\/(-28) + -2. Let c = 54 - g. Let q(w) = -6*w**2 - w - 9. Let t(z) = -5*z**2 - 2*z - 8. Let p(y) = -4*q(y) + 5*t(y). Give p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15356, 10157, 4958, -241, -5440, -10639?\n\"Answer: -5199*q + 20555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.37. Let g = -111.17 + 112. Let m = g + z. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1178241 divided by 29\nAnswer: 40629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 - 64\/(-135). Let t = 1.41 + -0.91. Which is the biggest value? (a) s (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -6*s. Is 2 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70334, 70332, 70330?\nAnswer: 70328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n - 12. What is d(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + z**2 + 3 - 2 + 1 - 2*z**3 + 0 in the form d*z**3 + j + t*z**2 + q*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 - 216012*h - 3888432012 = 0.\nAnswer: -36002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -27*n**3 + 21*n**2 - 7*n - 12. Is t(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00681396 * -1\nAnswer: 0.00681396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f. Let n(s) be the second derivative of s**5\/120 + 19*s**3\/3 - 32*s. Let z(v) be the second derivative of n(v). Calculate z(m(w)).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11573 = 73*t - 9894 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27 + (-72)\/81.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1761 - 1852. Which is the third biggest value? (a) u (b) -5\/4 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by 56?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -11*f + 4*f. Let m(u) = -43*u**2 + 5*u - 12. Let x(t) = 65*t**2 - 8*t + 18. Let c(i) = f*m(i) - 5*x(i). What is the tens digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-1*(5 - 3). Let x = 4 + u. Find the second derivative of 4*s**2 + x + 3*s + 2 - 2 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -9. Calculate the lowest common multiple of 4 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) -4 (c) 14\/19 (d) 1 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440282.\nAnswer: 2, 311, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3465 - -110881\/32. Calculate the common denominator of m and 5\/3*(-28)\/48.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151\/85 + -37\/17. Which is bigger: -0.32 or h?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*((-40)\/22 - -2). Solve q - 7 = -d - 2*d, 5 = i*q + 3*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (24 - -87)) + 31 + -5.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 1 l when three letters picked without replacement from dcdeleeeedeeeee.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -476.4 - -519. Let a = 35 - r. Let j = a + 8.4. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/14*7\/(-2). Let w be (144\/(-10))\/(1\/v). Let i = 44 + w. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 7) in base 6?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:35 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c**3 - 23*c + 2. Let d(g) = -8*g**3 + 12*g - 1. Give 7*d(o) + 4*x(o).\nAnswer: 12*o**3 - 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvvddvbcddvvvvdcdd. What is prob of picking 1 d, 1 b, and 2 v?\nAnswer: 196\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.047 - -0.547. Let l = -4.10814 - -0.10814. What is the closest to 1\/8 in -2, o, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05862 - -19\nAnswer: 19.05862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 681. Suppose d - 180 = -2*o, -4*o + 170 = 4*d - f. Suppose 836 = 5*l - p, 2*p + d = l + 4*p. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 711631793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 841571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*i**4 + 10*i + 352*i**4 + 2*i**2 + 22*i + 2 - 179*i**4 as p*i + k + j*i**4 + h*i**3 + b*i**2 and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 73 + 12. Let k = l - 55. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 10. Suppose -2*g + 11 = -k. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -1\/5 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)\/(w*(w*w**(-4))\/w*w))\/(w\/w**(-2\/33)*w)**(2\/67) assuming w is positive.\nAnswer: w**(15341\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3034613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 619*r - 623*r + 20, -3*y = 2*r - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = d - 21. Put d, -3, -2 in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**2 + 54 - f**4 - 2*f**4 - 55 - 8*f**3 + 4*f**3 wrt f.\nAnswer: -72*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose 0 = 2*g + g - q - 63, 2*q + 86 = 4*g. Suppose 7*r + 1 + g = 0. Put -5, c, r in ascending order.\nAnswer: -5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v + 60 = i, 30 = -5*v - 5*i. What is the units digit of (2 + 0)*v\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43809822 divided by -540862.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -2333?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, 15, -0.1, -0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113368 (base 10) to base 2.\nAnswer: 100001111110100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -36. Solve -4*l = 4 - d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-2 - 15\/(-5)) - -2. Which is the closest to z? (a) -2 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235264.03 + -378.\nAnswer: -235642.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 7a1?\nAnswer: 7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + b - 4*b)*(b**3 + 2*b**2 - 2*b**2) - 4*b**4 + 0*b**4 + 3*b**4 - 336*b**2 + b**4 + 336*b**2 to s*b**3 + f*b**2 + m + x*b**4 + v*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - d**4 + 2*d**3 + 5*d**2 - 5*d**2 + 2*d**4 + (2*d**2 + 0*d + 0*d)*(d**2 + 0*d**2 + d**2) - 2*d**4 + 4 - 4 - 199*d**3 + 199*d**3 - 18*d**4.\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 71*v + 32. What is the units digit of f(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020821819 to 7 decimal places.\nAnswer: -0.0002082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -5673 in ascending order.\nAnswer: -5673, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*n = 12, -2*k = -3*k - 3*n + 14. Let v(a) = 0 + 2 + 1 - 2*a**2 + a**k + a. Let h be v(0). Solve 5*d = h - 18, -3*w = -2*d - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25980 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-4\/9))\/o))\/((o\/(o**1*o))\/o))\/(o**(2\/9))**(6\/17) assuming o is positive.\nAnswer: o**(379\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 22. Let u = d - -16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(17) - (sqrt(17) + (sqrt(119)\/sqrt(7) + 0 - sqrt(17))))*6 - (-2*(sqrt(17) + sqrt(187)\/(sqrt(275) - sqrt(11))) + -2))**2.\nAnswer: 10*sqrt(17) + 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11811, -22665, -33519?\n\"Answer: -10854*m - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*15\/150?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274 or -273?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 + 4*f**2 + 11*f - 16. Let s(w) = w**3 - w**2 - w + 2. Calculate -a(c) - 4*s(c).\nAnswer: -8*c**3 - 7*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiinsnigsgn. Give prob of picking 2 i.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9370*p + 26. Let w(c) = 4684*c - 12. Determine 5*l(u) + 11*w(u).\nAnswer: 4674*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 10*n - 4. Let u be f(-4). Suppose u = 5*s + 5*k, -s + 3*s + 5*k - 8 = 0. Solve -s = 2*o, 3*c - 3 = 5*o - 2*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - 7702\/70. Let f = b + 110. Let d be 0 + 0 + (-3)\/(-18). What is the nearest to f in -4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from {e: 10, k: 1, t: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165026.\nAnswer: 2, 109, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937144?\nAnswer: 2, 13, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4697)\/(-15) - (-5)\/((-450)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/320 + g**5\/96 - g**4\/48 - g**3\/12 + 10*g**2. Factor m(h).\nAnswer: (h - 1)*(h + 2)*(3*h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 8*j + 21300 = 0. Suppose -5*u + 3*t + 1113 = 0, 4*u = t + j - 176. Is 37 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3\/3 + 12972*q**2 - 31401440*q - 2187334592\/3 = 0. What is q?\nAnswer: -23, 4876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7700 and 8750.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiediiedidibedibinr. What is prob of picking 1 n and 1 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2944648 is divided by 670?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 + n**2 - n**2)*(3 - 3 - 1) + (4 - 4 + 5)*(-11*n**3 - 2 + 2) + (-2*n + 4*n + 4*n)*(-5*n**2 + 6 - 6).\nAnswer: -89*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 263312406 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.46 and -2.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = -35*k - 27. Suppose -k*s - 872 = -d, 8*s = 10*s. What are the prime factors of d?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 244 - 275 - w + 5*w**2 + 2*w + 6*w**3 - 3*w**2 + 0*w**3 as g + p*w + q*w**3 + m*w**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 12 + 259 - 214.\nAnswer: -2*v**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 132*l. Let g(p) = 30*p**2. Determine g(c(t)).\nAnswer: 522720*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664*r - 7826 = 2363*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 2400 = -498. Is 63 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*x - 6448 - 11910 = 10762 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 4) to base 6\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.001 and 13682.\nAnswer: 13681.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1798.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 7:39 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.256\nAnswer: -0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(1\/(-7)) - 101016\/(-15640) and -41\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1806 + 466 = -5*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*(-8)\/100?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 79\nAnswer: 26\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 8 = 2*b - 2*f, 44*b = 44*b - 5*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839692222 is divided by 2632?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21*(60\/(-35) + 2). Let j be 7\/((-84)\/(-64))*f. Let a = 31 - j. Put a, 1, 0 in ascending order.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689262.\nAnswer: 2, 3, 7, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250797493 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let m = 345.4 - 16.4. Let k = 329.2 - m. What is the second biggest value in -0.6, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1383 - 1368. Let p = 16 + -6. What is the highest common factor of j and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 216 = 6*o - 426 + 158, 4 = 2*o + 4*j for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 4, u: 1, l: 4, a: 3}. What is prob of picking 1 l, 1 x, and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.8572 nanograms to milligrams.\nAnswer: 0.0007438572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 37336, 3 in descending order.\nAnswer: 37336, 18, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/330 - 7*o**4\/44 - 3*o**2 + 18. Factor n(v).\nAnswer: 2*v*(v - 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 226 = -4*b, -b - 15 = 4*u - 54. Let x = 56 - b. Let z be 4 + (3 + 0)\/x + -1. Solve z*r - 4 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let i(h) = 257*h - 2. Determine i(j(a)).\nAnswer: 257*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 + 94*z**2 + 0 + 4 - 1122*z**3.\nAnswer: -1122*z**3 + 94*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30063156*h**2 + 15031580*h**2 + 15031580*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4265 divided by 853.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 + -4)*-4)\/(-2)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32540270?\nAnswer: 2, 5, 7, 59, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a factor of 598326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 63. Let p = 32 - j. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/245039 and 62\/171.\nAnswer: 41901669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 17. Let g(m) = -m**3 + 6*m**2 - 5*m + 2. Let h be g(5). Suppose -40 + h = -2*q + n*y, 4*y = -16. Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 57*o = -5*r + 238, 0*o + o + 12 = o + 3*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2408*o - 29147. What is i(-12)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.58833 decades to months.\nAnswer: 6190.5996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0. Let k = -29518 + 29521. What is the nearest to u in -0.5, k, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let q(k) = k**3 - 18*k**2 - k + 21. Let z(l) = -4*l - 18. Let j be z(-9). Calculate the remainder when c is divided by q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 35, 68, 103, 134?\n\"Answer: -d**3 + 10*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 8, -3*w + 190 = -6*u + u. What is the highest common factor of w and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 98, -4 in ascending order.\nAnswer: -5, -4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/13))\/((l\/l**16)\/l)*((l\/(l*l**0))\/l)\/l**(1\/9))**15 assuming l is positive.\nAnswer: l**(9430\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))\/h)**(-2\/45)*(h**(-1\/3)\/h)\/h*h*h\/h**(-1\/3) assuming h is positive.\nAnswer: h**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 9. Let j = 7 - 4. Suppose v - 12 = j*v. Determine k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 - 3 = 0. Suppose 0*z - 6 = -n*z. Suppose -2 = -z*c + 3*d + 2, 5*c - 3*d = 10. Solve -7 = -c*u - 4*v - v, 23 = -5*u + v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t - 6*t + 5*t)*(0 + 3 - 1) - 3 + 3 - 4*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.92 - 0.08. Let j = 2 + 0. Let r = j + -2. Put -0.2, w, r in descending order.\nAnswer: r, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.517236m to centimeters.\nAnswer: 551.7236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*30 + (39 - 25)*-5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 16) to base 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 6) to base 10.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:41 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (105\/(-20))\/(3\/8). Let m = z - -23. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1245?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-120)\/125)\/8?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159b2 (base 15) to base 11.\nAnswer: -483a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 3*c**2 + 0 - 7\/3*c**3 + 101\/3*c**4 + 4*c. Let o be s(-17). Round o to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 (base 12) in base 6?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(2) - (2*sqrt(2) + sqrt(2) + 3 + sqrt(2)))*-2 + 1 + (-1 + sqrt(2) + -4 - sqrt(4)\/sqrt(2)*5))**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.59745 meters?\nAnswer: 159.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 = 7*n. Solve -3*j + 8 = -5*h - n*j, -3*h + 3*j = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16507867681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 548\/(-144) - 64\/144. Let j be (-1)\/(-10)*2*-1. Let r = 0.1 - -0.1. What is the closest to r in j, -0.5, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112120220121 (base 3) to base 8\nAnswer: -1060671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 28*b - 47. Give r(22).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, 3\/13172, -1\/5, -0.17?\nAnswer: 3\/13172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 27.9. Let s = -0.1 + 0.5. Which is the nearest to d? (a) s (b) -0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2\/3 + 100*o\/3 - 500\/3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6146 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g*g)\/g**10 assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423774237 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -5\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356486*o - 356489*o + 53 = 4*q, 17 = -3*o + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 + -14 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyf when three letters picked without replacement from {y: 10, t: 2, f: 5, w: 2, h: 1}.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2356, -8252, -18080, -31840, -49532, -71156, -96712?\nAnswer: -126200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let q(y) = y**2 - 24*y + 27. Let j be q(23). Suppose -l + 3*o + 4 = 0, -6 = -5*l + j*o + 3. Solve 9 = s*v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 12, 57, 140, 273, 468, 737?\n\"Answer: 2*m**3 + m**2 + 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 + 753 = -25867*r + 25973*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/16 - 65\/48. What is the third smallest value in 2, 16, q?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 - 2545ad?\nAnswer: -2546bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*k + 22, -4*k - 20 = 3*s - 3. Sort k, 9, -13.\nAnswer: -13, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p - x + 2, -p - 11*x + 13*x = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 83. Let b be z(-20). Solve -2*v - 16 = 2*c, 0*v - c - b = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208166\/24 + 0\/(-2). Let c = x - 8679. What is the common denominator of (1\/(-8))\/((-4)\/(-6)) and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12428*w - 4244 + 2963*w + 4244 in the form p + j*w and give j.\nAnswer: -9465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 8) to base 5.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264 - -285. Calculate the lowest common multiple of g and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25366.9 - 25367. Let f = 4 + -1. Put t, 1\/7, f, -2\/11 in decreasing order.\nAnswer: f, 1\/7, t, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -205, -4, 3 in decreasing order.\nAnswer: 3, 0, -3, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b8045 + -47?\nAnswer: -b8090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 77*w = 2. Let g be (6\/9)\/(2\/6). Put w, 0, g in descending order.\nAnswer: g, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hhmmmhmmmhmmmmhmmm?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.2531.\nAnswer: -1.7469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toon when four letters picked without replacement from nsnonotnn.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8784*l**4 - 2906*l**3 - 1353277*l**2 + 2*l - 9 wrt l.\nAnswer: 210816*l - 17436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911258 is divided by 31420?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*u - 35, 6*u - 39 = 10*u + 3*j for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 12*l + 35. Let v be s(-7). Suppose 5*f - 5*j - 320 = v, f - 5*f + 254 = -3*j. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 13*l + 2. Let n(f) = -f**2 - 11*f + 2. Let h(t) = 5*g(t) - 6*n(t). Let v(c) = -c. Give -h(b) + 2*v(b).\nAnswer: -b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8155.801292 to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 5953, 4 in descending order.\nAnswer: 5953, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1552504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*l + 1909577 - 469642. List the prime factors of l.\nAnswer: 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(2\/9)))\/l**(-11\/4))**(-8\/7))**(-30) assuming l is positive.\nAnswer: l**(2140\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*i*n**3 - 3*f*n**3 - 102*f - 99*i*n**3 + 37*n**3 wrt i?\nAnswer: 2*f*n**3 - 99*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**3*j*t*z**2 + b**3*t*z**3 + 3*b**2*j*t**2*z - 2*b*t**3*z**3 + 4*j*t**3*z**2 + 185*j*z**3 + 2*z**2 wrt z.\nAnswer: 6*b**3*t - 12*b*t**3 + 1110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from aszazcuusuzzuissaiaa?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + d**3 + 6*d**2 + d**3 + 7*d**3. Let z be t(1). Let m = 12 - z. Solve -q - 5 - 12 = 5*a, -m*q = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18036 by -6.\nAnswer: 3006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141416.8 tonnes in micrograms?\nAnswer: 141416800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:43 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6200124 is divided by 333.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**2 + 29*k**2 + 5*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80)\/(sqrt(80)\/(sqrt(8) - (sqrt(8) - sqrt(8)*1))))\/(-4*2*sqrt(400)).\nAnswer: -sqrt(2)\/80 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148914?\nAnswer: 2, 3, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 0.04, -14, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14972.78 rounded to the nearest ten?\nAnswer: 14970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czccp. Give prob of sequence zp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 23. Let a be (2 + 4\/o)\/(-3). Put 2\/11, a, -5 in descending order.\nAnswer: 2\/11, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, u: 3}. Give prob of sequence hh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, n: 4, f: 4, t: 3}. Give prob of picking 1 n and 2 f.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19098?\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409866.07 + -409866. Let y = 751\/36 + 107\/9. Let b = y - 33. Put 0.1, b, x in increasing order.\nAnswer: b, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + -2?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -388, -790, -1548, -2782, -4612?\nAnswer: -7158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/85210 and 91\/13940.\nAnswer: 118782740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 501 - -99?\nAnswer: 59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 24*x - 30 = 4*b, 22 = x - 4*b. Solve -3*j - 4*y + 0*y = -27, 5*y = x*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0178082 + -0.728.\nAnswer: -0.7101918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-30 + 21)\/9). What is the third biggest value in -41\/5, -0.2, t, 4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*o + 4*t, -5*o + 7*o - 11 = t. Sort 4, o, 0, 5 in descending order.\nAnswer: o, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - 417*f + 472 - 169 - 149.\nAnswer: -417*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4*2)\/(2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n - 0*n. Suppose -3*x + 10 = 2*g, n = 4*g + 9*x - 4*x - 18. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5547 - 136 = -701*c + 9038 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018.353ml in litres?\nAnswer: 4.018353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 5. Let d(i) = i**2 + 5*i + 5. Let a be d(f). Let n be 120006\/(-3) - -2*a. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -39245*m - 94. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242351096 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -261, -589, -1053, -1653?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*x**2 + 30*x**4 + 304*x**2 + 371*x**2 - 2*x**5 + 115*x**4 wrt x?\nAnswer: -120*x**2 + 3480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a - 3*a + 2*a)*(-3 + 6 - 2) + 3*a + a - 2*a - 18*a - 104*a + 35*a)*(-3*a**2 + a**2 + a**2)*(1 + 1 + 1).\nAnswer: 252*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 39. Suppose -5954 - 9451 = -y*v. Let i = v - 536. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.73 (b) 1\/2 (c) 0.3 (d) -1571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -134, 9, 0.2, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547.4513778 + -0.85.\nAnswer: 546.6013778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 441912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -3) + (-81 - (-34 - -16) - -2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 + 10\/(-12). Let s = -1\/3 - r. Let k = 59 + -115\/2. What is the closest to s in 0.1, k, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 77?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3*t + 7. Let f be (-15)\/(-12)*4*-7. Let b = f - -28. What is the tens digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-16\/5)\/z)\/(z**(2\/39)*z) assuming z is positive.\nAnswer: z**(-829\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 + -44 + 28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7015343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881 = -3*t + 1087. What is the units digit of 2\/15 - t\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 280411 and 0.5?\nAnswer: 280410.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73926, -295630, -665112, -1182372, -1847410?\nAnswer: -2660226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 15*r**8\/616 - 101*r**7\/385 + 307*r**6\/330 - 18*r**5\/11 + 18*r**4\/11 - 32*r**3\/33 + 35*r**2. Find y such that u(y) = 0.\nAnswer: 2\/5, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7380 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 341876 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7247\/30015 - 2\/667. What is the common denominator of m and -38\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3719*w**3 - 774 + 1105*w**3 - 2426 with respect to w.\nAnswer: 14472*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let j(q) = 19*q**3 - q**2 + 3*q + 3. Calculate -2*j(h) + 6*z(h).\nAnswer: -38*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 3*s + 350. What is v(-25)?\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 + 5*t - 13. Let k(m) = -m**2 + 10*m - 9. Let c be k(9). Let g be 1 + 2 + c - 12. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -290 + 140 - 2*z + 149 + z + 235*z**3 to d*z + k + p*z**3 + a*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, 0, -804, 6\/55 in descending order.\nAnswer: 1\/2, 6\/55, 0, -5, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 564\/165 - 114\/(-627). Which is the closest to 1\/3? (a) s (b) -5 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 132513237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 14*l - 16*l, -2*p - 4*l + 16 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(72)*3))\/(1*sqrt(180) - (2*sqrt(25)\/sqrt(5) - sqrt(5))).\nAnswer: sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 2 m when four letters picked without replacement from {h: 2, g: 1, y: 7, m: 9}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Let x be (-2)\/((-1)\/f*-3). Is -2 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4 + 2)\/(1169\/28 + -38)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/2)*z**(-8\/3))\/((z**(-1\/4)*z*z)\/z*z)**(-7) assuming z is positive.\nAnswer: z**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327816 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 2) + 3 + 79. Let l = 103 + -58. Let d = w + l. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/105986 and 191\/9480?\nAnswer: 502373640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3414421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Calculate the remainder when 37 is divided by p - (6\/(-3) + -17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 247860*u**2 + 495708*u + 247852 = 0.\nAnswer: -61963, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8046440 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 208\/(-40) - 1\/20. What is the nearest to 0 in -1\/2, 0.07, t?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from zjiwywje?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -12205502.\nAnswer: 2\/6102751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 - a + 1. Let g be y(1). Suppose -2*q - q + 12 = g. Let h be (0 - 1)\/(2\/(-10)). Solve 0 = 3*k - q*l, 4*k + h*l = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i - 4. What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47831 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 2*k**2 + k**2)*(-3*k + k - 24 + 18).\nAnswer: 8*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1572? (a) 0.2 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.067 - 2.147. Let a = y - 0.12. Let b = a + 2.20000088. Round b to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - 3*s**2)*(-12*s - 11*s**2 + 12*s) + 2*s**4 - 2*s**2 + 2*s**2.\nAnswer: 35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 182895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let y(z) = -12*z + 2. Let r(u) = 24*u - 5. Let f(d) = -3*r(d) - 7*y(d). Is 9 a factor of f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 4*t**2 - 3*t**2 + (3 - t - 3)*(1 - 1 - 3*t) - 26*t**2 - 42*t**2 + 82*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 35*g - 4. Let p(x) = 1716*x - 195. What is -195*b(c) + 4*p(c)?\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:42 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-16 - (-5 - (26 + 2)))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3134 - -3134.202. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194821 + -194816. Let r(k) = k**3 + 2*k**2 - 3*k - 3. Let q be r(-3). Put y, 0, q, -14 in decreasing order.\nAnswer: y, 0, q, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -1110111000011000111?\nAnswer: -1110111000011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8894976 divided by -106?\nAnswer: -4447488\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -143, -1262, -4301, -10220, -19979?\n\"Answer: -160*v**3 + v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11 = 5, 4*n - 164 = 5*y. Suppose -n = 3*s - 84. Calculate the highest common factor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 190. Let i = 2 + -1. Which is the closest to j? (a) i (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6803, -13618, -20453, -27314, -34207, -41138?\nAnswer: -48113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + -4 + 4)*1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749714939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 148481018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4035 - 3676. Let s be (1*-4)\/(6\/(-2043)). Suppose -3*m + s = -5*a + w, -4*m = 2*a - 1294. Does 41 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 120\/(-70) - 2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 - 87*p**2 + 1935*p - 1849 = 0.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200330685 and 94719.\nAnswer: 200330685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 85816\/(-1262) + 4\/((-24)\/90)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:01 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8259 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: How many minutes are there between 8:20 PM and 3:19 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11\/3*d**2 - 3*d**3 + 1\/3*d**4 + 10\/3 + 3*d = 0. What is d?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2716870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.9 - 24. Let w = i + 0.2. Round w to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*j + 30, -4*w + 0*w = -4*j + 8. Let u be (-1 - j) + 3 + -1. Solve z - 18 = -u*c, -4*z - 14 + 2 = -5*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = -2*i + 846. Calculate the remainder when 136 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 138. Let j(d) be the first derivative of -d**5\/30 - 4*d**2 + 5*d + 43. Let p(y) be the second derivative of j(y). Give p(q(h)).\nAnswer: -8*h**2 + 1104*h - 38088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x - 17524 = -208*x + 1331*x - 2*t, x = 2*t - 19 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-2*2)*-3)\/(sqrt(1331) + 1*sqrt(1331)*-1 - sqrt(1331)).\nAnswer: -9*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62329.\nAnswer: 157, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 738515*b - 295748?\nAnswer: 738515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14))**(-6)\/(a\/(a\/(a**(-10)\/a)))**(-48) assuming a is positive.\nAnswer: a**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.22 + 48. Round w to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o - 2. Let k be m(-6). Suppose -k = -t - 2*f, -3*t - 6*f + 2*f + 76 = 0. Suppose 4*s - t = 0, -5*g + 552 + 738 = -2*s. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/39? (a) -1\/5 (b) 0 (c) -2 (d) 0.18 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x - 5*x + 4*x + 2723*x**3 - 4*x.\nAnswer: 2723*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114122043330 + 4?\nAnswer: -114122043321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600859 to the power of 1\/2, to the nearest integer?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13221 is divided by 1279.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 977886353 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u. Suppose 0 = -5*v + 15, 5*v = -7*p + 4*p + 30. Determine d(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -699599.\nAnswer: -5596792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 487 = 67*i - 26*b + 25*b, -12 = -3*b for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2196)\/(-76) + 100\/2200*-638\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -25. Let b(x) = 5*x**2 - 3*x + 3. Let i(j) = -13*j**2 + 8*j - 8. Let p(v) = q*i(v) - 8*b(v). Let w(t) = -26*t**2. Calculate w(p(c)).\nAnswer: -26*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 99.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4186128 is divided by 105?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*z**5 + 5*z**4 - 25*z**2 - 5*z**4 - 31*z**5 wrt z.\nAnswer: -3540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)\/a)**0*a**1*a*a*(a\/(a\/((a*a**(-3))\/a)))\/a*(a**(2\/9)*a**(1\/2))\/(a**1)**22 assuming a is positive.\nAnswer: a**(-401\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 10:35 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44401200 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2 - 8*m + 6. Let o(t) = 14*t**2 + 7*t - 7. Let s = -17 + 23. Let h(d) = s*p(d) + 4*o(d). Factor h(k).\nAnswer: -4*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-60)*(-36)\/(-32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*h**4 + 15081*h**3 - 2514*h**2 = 0. What is h?\nAnswer: -838, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (188 + 41 + 1705)*(0 + 0 + 2*x) to the form s*x + t and give s.\nAnswer: 3868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*2 + sqrt(68))\/sqrt(4).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + -240?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 474 divided by -339569\nAnswer: -474\/339569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 364 = -187 - 44 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*h - 28*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 111826000 = -31*a. What is a rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.681588 rounded to two decimal places?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4483112256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6221600827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43699410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + -11010?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*i + 497*i + 43*i + 1393*i.\nAnswer: 2456*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 4 (c) -0.3 (d) -4\/77 (e) 0 (f) 1\/140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 49*j - 52. Let i be c(-48). What is the fourth biggest value in 1\/5, i, 0.3, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4864 and 198096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-6)*(676\/(-65) - -10). Let -16\/3*l**2 + 4\/3 - 10\/3*l**3 - k*l = 0. Calculate l.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 21*i**2 - 20*i + 117. Let w be m(11). Let k = 26 + 64. What is the greatest common factor of w and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.133, 2, 2\/3, 4\/5?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - -4*-3*sqrt(170)) - (sqrt(170)*-1*6 - sqrt(170)))\/(2*(sqrt(90) - ((sqrt(90)*2 + sqrt(90))*-5 - sqrt(90)))).\nAnswer: 19*sqrt(17)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + sqrt(200) + ((0 + sqrt(200))*-6)**2 + -3).\nAnswer: 20*sqrt(2) + 7197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqt when three letters picked without replacement from {q: 5, t: 2, x: 7}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-25)\/10)\/((-20)\/8)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -57. Let n = -34 - o. Let v = -0.3 - -0.2. Which is the closest to v? (a) -1\/2 (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Solve n = -5*j - 0 + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14583, -30312, -56533, -93246, -140451, -198148, -266337?\n\"Answer: -5246*r**2 + 9*r - 9346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 950808564 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1162783 = -3*s, -23*s - 1162799 = -5*n - 22*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 20035*u**2 + 2 - 2098*u**2 + 3*u + 0.\nAnswer: 17937*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -9\/56*i**8 - 7\/12*i**4 + 0 + 0*i**2 + 0*i**6 + 0*i**5 + 7*i + 0*i**7 + 0*i**3. Find the third derivative of r(a) wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -20, -0.9 in ascending order.\nAnswer: -20, -0.9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + u - 47, 2*g - 26 = 12*u - 10*u for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eelleellleellllleeel.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 444*l - 444*l - l**2. Let y(s) = -4*s**2 - 10. Let g(b) = 1. Let a(m) = -10*g(m) - y(m). Calculate a(v(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/135 + n**5\/90 - n. Factor v(t).\nAnswer: -2*t**3*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31.07 in 4, 0.3, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(13 + 2) - (-22)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 2, y: 1, w: 2, s: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 + 25*t**2 - 27*t**2 - 25*t**3 - 2 to the form i + w*t + f*t**2 + v*t**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9397 rounded to 2 dps?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83936, 84583, 85232, 85883, 86536?\n\"Answer: y**2 + 644*y + 83291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) 0.08 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*f - 12 + 29, 3*z - f + 20 = 0. Let b = z + 9. What is the lowest common multiple of b and 10\/(-45) - 56\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 82*p**2 + 7*p + 384. Let u be i(-92). What is u rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26414 + -14848. Suppose 0 = -20*g + 42454 + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 - 1 - (-9 + 2) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a*j**2 + 57*a - 349*j**3 - 18 wrt j.\nAnswer: 10*a*j - 1047*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8)*(-260)\/(-15). Is (-8)\/6*117\/p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 537. Let t(j) = -j - 542. What is 5*t(w) + 6*u(w)?\nAnswer: w + 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 x when four letters picked without replacement from {g: 1, v: 2, w: 8, x: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 10*j - 14. Let g be f(-8). Suppose -n + g*n = 76. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278428 or 278433?\nAnswer: 278428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-100) - (-22)\/5. Suppose d*f - 10 = -0*f. Let m(w) = -9*w**f + 0*w**2 + 18*w**2 + 37*w**2. Let c(t) = -2*t. Determine c(m(i)).\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from uuddddud?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6403 less than or equal to -6404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -26\/173378511?\nAnswer: -26\/173378511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:47 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*r - 193*r + 3*m - 3, 3*r + 5*m - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*l + 17 = 0, -2*l = 5*u - 24 - 15. Suppose r = 5, -20*d + r = -18*d - u. Solve 11*j + d = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*g = -43, -3*h + 2*g = -0*g - 112. Calculate the greatest common divisor of h and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.089 and 3.671.\nAnswer: 3.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2449607364 to the nearest integer?\nAnswer: 49494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:12 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k - 81*k - 22*k**2 + 153*k.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.230699ml to litres.\nAnswer: 0.000230699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47319 greater than 47315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(-3)\/(-9))\/2. Let k be 52\/6 - (44 + -35). Let l = k - q. Which is the biggest value? (a) 0.5 (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g**3 - 5*g**2. Let b(a) = 569*a**3 + 577*a**3 - 1723*a**3 + 571*a**3 + 3*a**2. Determine 5*b(o) + 3*v(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = m - 2*j - 3, 0 = 2*m + 5*j - 7. Is -1\/8 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 + 28*d**2 - 171*d + 69. Determine x(7).\nAnswer: 2988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 4*q**2 + 3*q + 11. Let s be y(5). Is 1\/65 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from hojlj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9141 and 88317295.\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 28845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1, 4, 14, -20 in ascending order.\nAnswer: -20, -3, -2, -1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*t = -52, 0 = 3*l - 4*t + 8*t - 40. Let x = l - 4. Factor 2 + 6*g - g**2 + 2*g**3 + 3*g**2 + x*g**2.\nAnswer: 2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 15. Let g be v(17). Let s be (-2)\/g*(-1)\/(-2). Which is the third smallest value? (a) -0.2 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**6)\/d**(-5))\/(d**1)**6)**(-9) assuming d is positive.\nAnswer: d**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 36. Calculate the greatest common factor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.7 (b) -1.6 (c) -1\/8 (d) -1.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 - -4)) + -9 + 12 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -6, 125, 181 in descending order.\nAnswer: 181, 125, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 286*w + 286*w - w**3.\nAnswer: -w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1000010101110110101 (base 2) to base 14\nAnswer: 7187b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.743 - 0.257. Which is bigger: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:51 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 2620, 4760, 7402, 10546?\nAnswer: 14192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 3*g)*(0 + g + 0)*(-1 + 1 - 2*g**2)*(4*g - g - 2*g).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**6\/30 - d**4\/8 + d**2 - 1. Let q(s) be the second derivative of p(s). What is the second derivative of q(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -33. Let b(c) = c**2 + 2*c + 4. Let d be b(q). Suppose -2*v + t - d = -7*v, 4 = -2*t. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2819.8 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y, 6*o - 3*o = -5*y + 5. Let s(c) be the first derivative of 1\/3*c**3 + o*c - 2 - 1\/4*c**2. Factor s(g).\nAnswer: g*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g + 213*g = 332246. Which is smaller: g or 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 3*q**2 + 3 + 0)*(3 + 3*q + q**3 - 3*q).\nAnswer: -q**5 + 3*q**3 - 3*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 3*k**5\/20 - 473*k**4\/4 - 8*k + 48. Factor x(z).\nAnswer: 3*z**2*(z - 473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/129 and 28\/473.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:57 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:22 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613860 divided by -10?\nAnswer: -161386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*u - 14, 5*a + 25 = -5*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*a + 1 = 0, -u - 15 = 4*u - 5*a. Let j be u - ((-5)\/1 + -300). Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:03 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 14, -5 in decreasing order.\nAnswer: 14, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t + 203. Let s = -91 - t. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -37\/1242451?\nAnswer: -37\/1242451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 57. Let u(d) = d - 3. Let q be u(3). Let v be a(q). Let i = v - -94. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*q + 0*q**2 + 5*q**5 + 2\/3*q**3 + 11\/3*q**4 = 0 for q.\nAnswer: -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*o = 6*h + 5, -h = -2*o - 2. Suppose 4*j - 25 = -j. Solve -5*b + 10 + j = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 15. Let y be h(-16). What is the units digit of (-6)\/(-2) - y - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:51 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + (sqrt(700) - sqrt(700)*2) + sqrt(700))**2 + -5 + sqrt(700) + 2 - -6*(((sqrt(700)*-2*2)**2 - sqrt(700)) + -1 + -1 + sqrt(700))).\nAnswer: -268840 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38\/21 + 15\/7. Let -1\/3*v**2 - a*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-214)\/((21504\/(-72))\/(-64)) - -38.\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**3 + 7*h**2 + 6. Let v(p) = 21*p**3 + 15*p**2 + 13. Calculate -13*a(g) + 6*v(g).\nAnswer: -17*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -356*m**4 + 2*m*w - 42*w wrt m?\nAnswer: -1424*m**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -534 + 21585.456526\nAnswer: 21051.456526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7701 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1576\/5 or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2351 or -2372?\nAnswer: -2372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/40 - z**4\/24 - z**2. Let s be j(-1). Let p be (-6)\/12*(-8)\/(-2). Do p and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 74. Let t = r + -21.18. Let z = 0.14 + t. Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(78)*-3)\/sqrt(6) - (sqrt(208) + 5))*-1.\nAnswer: 5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q + 45. Is a(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 34*x**2 - 2*x + 70. Suppose -131 - 617 = -22*q. Let z be r(q). Solve 4*o + i + 12 = 0, -3*o + o = z*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/84 and 139\/149676?\nAnswer: 1047732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 7)*(-y**4 + 3*y**4 + 0*y**4).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 5*b, -4*b - c = -2*b - 4. Let k be 6\/(0 - (-2 + b)). What is the third derivative of 11*p**2 + 2*p**3 - 10*p**6 - 2*p**2 - 2*p**k wrt p?\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let j = 0 - -16. Let i = -59 - -63. What is the smallest value in j, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 - v + 2 - 4*v**2 + 6*v**2 + 3*v as j*v**2 + q*v + y*v**3 + w*v**4 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6588*c = 6591*c - 6. Let s be ((-196)\/(-6))\/((-3)\/2763). Is (1\/c)\/((-7)\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**4 - c**2 + c + 1. Let h(v) = -85*v**4 + v**3 + 173*v**2 + 5*v + 5. Let a(s) = h(s) - 5*w(s). What is the third derivative of a(j) wrt j?\nAnswer: -1920*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 97*j**3 + 300*j**3 + 25*j**2 - 25*j**2 - 202*j**3.\nAnswer: j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -27. Suppose -j + 312 = 4*s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2858725 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177514 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 612441.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-3879)\/21. Suppose 5*g + 13 + 30 = z, 0 = 5*z + 5*g - c. Let n = 72 - z. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*l + 35, 0 = 4*l + 2*c - 3 - 25. Suppose -12 - 10 = 4*w + o, 2*w + 5*o + 20 = 0. Let j = w - -13. Solve u = l*u - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 11248.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 73\/6 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:52 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 23830*c.\nAnswer: -5*c*(c - 4766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-17)\/(-68))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2940 and 189.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 424 - 33503 = 3*r, -2*s + 3*r = -22622. List the prime factors of s.\nAnswer: 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/20 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96656523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24548409 a multiple of 1977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from sxxxxhshx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(sqrt(1300)*-1 + -5) + 3 + -5)**2.\nAnswer: 160*sqrt(13) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -3 - -1) + 7. Find the second derivative of y*c**4 + c**4 - 5*c - 2*c**4 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/3 + 110926*h**2\/3 + 4929424*h + 4892448 = 0. What is h?\nAnswer: -132, -1, 55596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2034*n**2. Let a(z) = z**2. Give a(m(p)).\nAnswer: 4137156*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1}. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzbsxfvsszsbzssv. Give prob of picking 2 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 0.061\nAnswer: -0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1028 by -257.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299 by -2.\nAnswer: 299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-16) - -2) + 108\/48.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 15*s - 4386. Let k = s - -260. Let m = -4\/41 - 46\/369. Which is the closest to -11? (a) 0.2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + (3 - 6) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 7655.\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/110290375 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 435*w - 1. Let y(a) be the first derivative of -2*a**3\/3 + 2608. Calculate y(p(v)).\nAnswer: -378450*v**2 + 1740*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 4017*a + 8035.\nAnswer: -(a - 16070)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(1728) + 0 + sqrt(1728)*1)*-5)**2.\nAnswer: 25920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = 20 + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80934 or 81431?\nAnswer: 81431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02704 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 - 15*w**2 - 2*w + 9. Let b(u) = 2*u**3 + 7*u**2 + u - 4. Let s(a) = 5*b(a) + 2*t(a). Let i be s(-3). Let z = i - -48. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91892 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 9. Let r = -2 + 5. Let j be (r\/(-4))\/(2\/16). Let f be b(j). Is 1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o = -30*o + 30. Does 6 divide (56\/o)\/(30\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 19 = 3*g, 2*g = -10. What are the prime factors of (0 - -44)\/o + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urjuar. What is prob of picking 1 a and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*d - 2*d - 20*d - 77*d)*(-1 - 1 + 1 + (0 + 2 + 0)*(-4 + 3 + 2) + 0 + 0 - 2 - 5 + 6 + 1) to r*d + c and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.163 (b) 3 (c) 0.1 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.2. Which is the closest to -2? (a) 0 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1131, -1132, -1133, -1134?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 17*j**2 + 5*j - 3. Let y(k) = k**3 + 8*k**2 + 2*k - 1. Let w = 26 + -21. Let h(x) = w*y(x) - 2*l(x). Give h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1650 and 3375?\nAnswer: 74250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 632*k - 637*k - 25, 4*l - k = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -268\/17, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 174\/9*3\/(-2). Let x = -14 - z. Solve 3*g - x = 2*h - 0*h, 4*g - 20 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 143 + 7\/4*n**4 - 188*n + 0*n**2 - 25\/3*n**3. Find the first derivative of w(m) wrt m.\nAnswer: 21*m**2 - 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*(z\/(z**2*z))\/z assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-7)\/14 - 2\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 12*v - 20 + 5*v + 11*v.\nAnswer: 11*v - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -4530?\nAnswer: 543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/4935 and -131\/2620260?\nAnswer: 862065540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 + 58*g**3.\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63454217*z**2 + 6157156.\nAnswer: 126908434*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x - 5. Let i(w) = w + 12*w - 1 + w - 5*w - 8*w. Calculate -4*i(c) + o(c).\nAnswer: -23*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (560\/(-6))\/4*-3. Suppose -3*q = 2*q - u. Let m = -191 + 317. Calculate the greatest common divisor of m and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/15, -3\/2, -371, 99, 3 in increasing order.\nAnswer: -371, -3\/2, 2\/15, 3, 7, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -118*x + 826. Give b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93e2 - 1?\nAnswer: 93e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 3*p)*(-2 + 0 - 1) + (-2*p + 2*p + p)*(-19 + 2 + 3) + 4*p - 6*p + 0*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*b + 59*b - 483 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 - 52275*c**3 + 137077115*c**2 - 2316061725*c + 2179036880 = 0. Calculate c.\nAnswer: 1, 16, 5219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1711648 - 1711648 + 808*i**2.\nAnswer: 808*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (6 - (-74 - 1)). Suppose 87 + c = 13*y. Solve 5*x - y = 2*o + 4, -2*o - 2*x = -18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 2*z**2 - 2*z**2)*(1 - 1 - 2) + 1 + 2*z**2 - 1 - 1 + 1 + 2*z**2 + (z + 5 - 5)*(0*z + 3*z - 2*z) + z**2 - z**2 + z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than -4773433\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 55 = -3*z, 0 = 18*r - 16*r - 5*z - 15. Suppose u - 14 = -4*q, r*u - 22*u + q + 1 = 0. Solve 0 = -t + b + u, 2*b + 3*b + 1 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 196 (b) -0.5 (c) -15 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8893663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.158 - 0.042. What is o rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o - 88. Let s be l(-9). Find w such that 0*w + w**3 - 1\/3*w**s + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18476340263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 8. Suppose -o + 3*o = 4*i - 34, 4*o = 4. Calculate the greatest common factor of i and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 11 - (-1 - 0). Suppose 5*v = -f*s - 0*s + 80, s - 3*v - 16 = 0. What is the greatest common factor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-5) - -11*18\/(-495) - -17?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017*-0.2022.\nAnswer: 0.0034374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 3. Let u be b(2). Let k(f) = 0*f + 8*f - f - u*f. Let i(c) = -c. Determine i(k(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1524 and 156342.\nAnswer: 39710868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 28\/16)*-4 - 0. Let r be (6\/(-8))\/(d\/(-4)). Let j be r\/(4\/(1 - -3)) - -5. Solve -j*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11264 + -6611. Solve -z - 4660 = -d for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 37*f - 1480 = 0. Let w = f + -182. Let p = 44 - 130\/3. Which is the nearest to p? (a) 4 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 190 + 192 - 6*c + 622 + 4*c.\nAnswer: -2*c + 1052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(330) + -2*sqrt(330)*-5)\/(sqrt(1331) + sqrt(1331)*2 + sqrt(1331)))\/(sqrt(10) + 2*sqrt(250) - -2*sqrt(30)\/sqrt(3)).\nAnswer: sqrt(3)\/52 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88416179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310 is divided by 676?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + 2 + 3. Let q = 5 - 3. Let p(n) = n**3 - 8*n**2 - 9*n + 5. Let r be p(9). Sort t, r, q.\nAnswer: q, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 6. Let i be x(3). Let t be -7*-3*i\/3. What is the highest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 18*q - 11*q - 6*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + 0 + 30\/216\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 3*d**8\/112 - 7*d**5\/60 + 4*d**2. Find the third derivative of u(x) wrt x.\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 8*j + 21. What is g(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**2 - 5*q + 16. Let p be k(4). What is the remainder when (-3)\/(3\/p) + (15 - 11) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/16*8\/(-1). Suppose a + w + 4 - f = 0, 5*w = 15. Sort a, -59, 5, 0 in decreasing order.\nAnswer: 5, 0, a, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, 214, 262, 38, -632?\n\"Answer: -29*h**3 + 125*h**2 - 26*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from foeohko?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 13*b**2 - 20*b - 10. Let p be t(-14). Let i = p + -29. Let a = i - 33. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y*y**3*y*y**(-5)*y\/((y*y\/y**0)\/y))\/((y\/(y**(4\/3)*y))\/(y**(-6)*y))**(1\/36) assuming y is positive.\nAnswer: y**(-337\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)*p)\/p)**(-2\/17)\/((p*p\/(p\/p**(10\/3)))\/p**(-4\/3)) assuming p is positive.\nAnswer: p**(-298\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 7*k + 2. Suppose -72*a = -75*a + 708. Let x = a - 163. Calculate the remainder when x is divided by r(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:39 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, 5, -42, 1\/4, -2\/5, 980?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016881541 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08406 and 14834 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 7*l + 6. Determine v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.05 (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -5*s. Let i(q) = s + 2*q + 0 - q**3 - 3*q**2 + 0*q**2. Let d be i(-4). Solve 0 = -5*h - d + 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 + 112*t - 40*t - t**3 - 72*t to the form x + v*t**3 + l*t + p*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 10931848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -157. Let o = 6831.3552 - 6735.4. Let d = z + o. What is d rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + sqrt(539) + 0 + sqrt(539) + 0 + 0.\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = k + 2, 25799 - 25819 = -m - 3*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 133. Put -2, 2, c, 5 in ascending order.\nAnswer: -2, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - ((sqrt(931) + 2*sqrt(931))*5)**2.\nAnswer: -209475 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1795164 divided by -172\nAnswer: -10437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3772342285\/24 + 157220150. Let p = o - 39227. What is the common denominator of (95\/(-8))\/((-9)\/(-12)) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6 (b) -3 (c) -0.7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h - 2 = 4*d - 69*h + 142*h + 62, 0 = -94*d + 3*h - 1986 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20401?\nAnswer: 23, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 24877*n - 65388*n.\nAnswer: -40511*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24312 - -1?\nAnswer: 24313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 726.3323 decades?\nAnswer: 7263.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 8*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-13 - -13) + 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 52*w + 276. Calculate h(-7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1054 or 5277\/5?\nAnswer: 5277\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 25. Let s be (n - (3 - 0)) + -2. Solve 2*z = -0*z + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18181154*b + 45647022.\nAnswer: 18181154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 - v**4\/8 + v**3\/2 - 3844*v**2. Calculate p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*q + 195067083 = 744*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {i: 1, t: 2, k: 5, w: 3, m: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23196 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 23*t - 2. Suppose t*r = -c + 3, 20 = -5*r - c + 4*c. Let v be 20\/((r - -3) + 0). Calculate the greatest common factor of 70 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 7 = -3*a, -3 = 3*a + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 62. Which is the biggest value? (a) -0.2 (b) -0.3 (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 241 = -21*v. Solve 0*f = f + v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7765 - 2736. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*i - 97. Let c be 0 + (0\/2)\/2. Solve c = -r + 6*r + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/7, -2\/3, 325, 4\/3, 0.3 in increasing order.\nAnswer: -2\/3, -0.1, 0.3, 3\/7, 4\/3, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-336)\/196 - 4\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9.4 (b) -1\/3 (c) 1\/3 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25127849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01090464 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238201 = 9*p + 12*f - 238255, 3*p = 2*f + 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9560729 is divided by 125.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:42 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, b: 6}. What is prob of sequence bccc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916000 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -13*j**5\/60 + 5*j**4\/12 + 11*j**2. Find the second derivative of n(g) wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2359 + -242975\/103. Let u be (-232)\/412*3\/16. Let s = r - u. Which is the third smallest value? (a) -5 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 2*m - 3*m - 2*m**2 to the form g + c*m**2 + p*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -83266*w**2. Let j(f) = -749*f**2. What is s(j(k))?\nAnswer: -46712309266*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 4, 2*i - 3*y - 2 = 0. Let b(z) = -z**2 + 3*z + 4. Let d be b(i). Suppose 103 = v - 0*v + 3*a, -4*a = d. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9\/o*o*o\/o**(-2\/11)*o*o*o**(-1)*o*o*o**(5\/6) assuming o is positive.\nAnswer: o**(925\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 85. Which is the closest to v? (a) 3\/13 (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*k - 411*k + 4*t = 12, -4*t + 12 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 7*u)*(-u - u + 3*u)*(6 - 6 + 8*u)*(4*u**2 - 4*u**2 + 5*u**2).\nAnswer: 360*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135.9571 - -0.0429. Let v = -135.999949 + u. What is v rounded to six dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 14*t - 13*t - 30, 2*r = t + 22. What is the lowest common multiple of r and 60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*y - 4*y. Let t = 0.305 - 4.305. What is the closest to y in -0.06, t, 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 181, -2\/3, 1504?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 6 = 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80)*2*-2 - (3*sqrt(80) - sqrt(80))*2)*-2 + -3 + 0)**2.\nAnswer: -768*sqrt(5) + 40978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*x = -1262*x - 663*x - 50*x + 134136 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 + 4*n**3 - n**3)*((2 - 2 - 1)*(-3 + 0 + 2) + 348 + 484 - 996) in the form h*n**3 + j*n + o + c*n**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 - y + 2. Let k(n) = -3*n**3 + 6*n - 11. Let o(d) = 6*d**3 - 5*d + 10. Let g(j) = 3*k(j) + 4*o(j). Give -2*g(p) + 7*u(p).\nAnswer: 5*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869792923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30022320110001 + 11?\nAnswer: 30022320110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*h + 102*h - 1819*h = 297*h - 19502 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6153156 days?\nAnswer: 53163267840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -153.\nAnswer: -5\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 30*i + 2 - 26*i - 2*i**2)*(3 - 1 - 3).\nAnswer: 2*i**2 + 54*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -563 + 582. Calculate the smallest common multiple of 304 and g.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + sqrt(1331) + -2 - (sqrt(1331) + (sqrt(1331) + 0)**2 + -3)) + -5*(4*(sqrt(1331) + (1*sqrt(1331) - sqrt(1331)) + 4))**2).\nAnswer: -327264 - 21120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45900*(69\/(-9) + 3 - 2). Round o to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 119 + 59 = 3*g - 28*z - 83, -g + 2*z = -59 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3462344*t = -3462184*t + 8480 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 3*q. Let t(p) = p**2 + 2*p + 1. Let i(y) = 2*t(y) + v(y). Determine i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -74*n. Let c(s) = -1610*s. Determine p(c(f)).\nAnswer: 119140*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304526 - 15436 + 578745 = 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2626 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 + 4 = 0. Suppose -t*g + 5 = -4. Let c(u) = -u**2 + 11*u + 9. Let j be c(11). Calculate the highest common divisor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-219*(-28)\/12)\/(-5 + (-7 - -11)). Is s greater than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 - 2*w + 3. Let k be g(2). Which is smaller: 1\/6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 2 - (-27 + (57 - -74))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 2\/3, 0.03, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*h + 23479 = 0, 2*j + 2*h - 2745 = 6649. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8180869 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*s + 18, 2*a + 35*s - 39*s - 2 = 0. Solve 18 = -2*q - 5*b, -5*q - a*b = 10 + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5824 + 66772565?\nAnswer: 66778389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 > 3184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.251 - 46.9. Let z = -0.32 + i. What is z rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and -61.5?\nAnswer: -3997.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10444, -10625, -10922, -11335, -11864?\nAnswer: -12509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*r + 39 = 0, 2*x - 3*r + 99 = -102 + 210 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (((sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(3))*-5 + 6*sqrt(3)*2*5)**2.\nAnswer: 7508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6479000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*5\/(-20)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 110586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154459448?\nAnswer: 2, 3, 173, 92683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -395 - -406. Calculate the remainder when 19 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 61*x - 472. Determine p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, 1236, 4?\nAnswer: 1236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, y: 1, p: 1, b: 1, n: 2}. What is prob of sequence yx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 23*s**2 - 15*s - 218. What is m(-23)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -v + 8, -10 = 4*v - 0*v + 2*f. Let g be ((-11)\/(22\/40))\/v. Suppose 15*j - 16*j = -g. What is the lowest common multiple of j and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5370841 millilitres in litres?\nAnswer: 0.0005370841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729085.\nAnswer: 3, 5, 17, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1252245 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {i: 2, t: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cht when three letters picked without replacement from {t: 1, o: 1, b: 1, h: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 176\/33)*-27*(0 - 8\/1320)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + 6*v - 2. Let x be (6\/(-15))\/((-6)\/60). Is s(x) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/19, -10, -3.7, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -7. Let i = -59 + o. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 2187 = -609. Let v = g - 230. Solve 8 = v*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2 + -3 + 6*sqrt(612)*3)**2.\nAnswer: -720*sqrt(17) + 244809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-54))\/5*(-11403)\/(-8869)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -74*c - 45. Let r be x(-11). Suppose -144 = r*b - 773*b. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*z**4 + 92*z**4 - 16*z**4 + (-12*z + 50 + 21*z - 7*z)*(z**3 + 0*z**3 - 2*z**3) in the form l*z**4 + q*z + y + k*z**3 + i*z**2 and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.023, 3\/8, -3\/7, 3, 2.\nAnswer: -3\/7, 0.023, 3\/8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 + 1. Let v = -5 + 12. Let w = 4 - v. Put w, c, -2 in descending order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619721353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -24344412?\nAnswer: -24344421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*r + 2*r + r)*(2*r - 2 + 2) + r**2 + r**2 - 4*r**2)*(-2 + 7 - 4) to u*r + y*r**2 + p and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/60 + v**5\/15 + v**4\/8 - v**3\/3 + v**2 + 207*v + 1. Let z(y) = -4*y**3 + 8*y**2 + 7*y - 4. Calculate -7*a(k) + 3*z(k).\nAnswer: 2*k**3 - 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4004 = -b + 10*b + 2*b. Calculate the greatest common factor of 574 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28355.8156 + 4.1844. Let v = 28223.33 - b. Let o = v + 136. What is o rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.87352nm to meters.\nAnswer: 0.00000007787352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1536\/80)\/(-24))\/((-4)\/(-50))*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2350 and 1357103850.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**7\/630 - 7*p**6\/360 + 11*p**5\/180 - 5*p**4\/72 + 23*p**2. Factor r(k).\nAnswer: k*(k - 5)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1330917 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 254. Determine r(-12).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 + 341*y**2 - 5*y + 33622 wrt y.\nAnswer: 6*y**2 + 682*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Sort -3\/19, a, -0.1.\nAnswer: -3\/19, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25231551434 + -4?\nAnswer: -25231551442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.82 + 1.801. Let j = -0.219 - z. Which is the closest to -15? (a) j (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z**2 + 0*z + (0 - 3 + 1)*(-4*z**2 + 5*z**2 - 2*z**2) - 2 + 2 + z**2 + 0 + 15*z**2 + 0)*(2*z - 4*z + 0*z).\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 * 49.46.\nAnswer: 13007.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104)\/(-18) + -3 - 3. Let q = 9 + -7.6. Let f = -0.4 + q. Which is the nearest to -1? (a) f (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672 is divided by 1171.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 234 + -238?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3\/7, -4\/7, -0.02?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2729970 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-101 - 1)*(-4)\/(-6). Let s = 63 + a. Let v(r) = -r + 3*r + 3 - 4*r. Determine v(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*a + 28, -88*m = -83*m + 2*a - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 3*y**3 - 6*y**3)*(-y**2 + 3*y**2 + 0*y**2) + (2*y**2 + y**3 - 2*y**2)*(-4*y**2 - y**2 + 6*y**2) + y**5 - 3*y**5 + 0*y**5 - 85 - y**5 + 85.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*u + 560766*b**3*l + b**3*u + 787*b**2*l*u - 5*b**2*l + b**2*u - 14*b wrt b?\nAnswer: -48*b*u + 3364596*l + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 305718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -1 (d) 3\/8 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 431591, 430460, 429331, 428204?\n\"Answer: a**2 - 1134*a + 432724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1130)\/(-2448) - (1 + 33\/(-27)) and -111\/44?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*x - 232*x - 84 = 0. Let s = -1\/129 + 136\/903. What is the fourth smallest value in 2, s, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 1. Let d be g(-3). Let b = -984719\/72 - -13677. Let u = 1\/72 - b. What is the second biggest value in d, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -40. Suppose -q - 47 = -3*b, 4*q - 11 + a = -b. Is 6 + b - (-1)\/(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/11*-1)\/((-27762)\/84 + 328)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 762683 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606927910 rounded to the nearest one million?\nAnswer: -4607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/214027 and -43\/155656?\nAnswer: 1712216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -586552 - -0.0231425342?\nAnswer: -586551.9768574658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -33063.566 to the nearest 100.\nAnswer: -33100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4646 - w**3 + 4646.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - y + 4, 7*l - 2*l = -2*y + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152 and -0.266.\nAnswer: -40.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3385 + -3383. Sort 3, -3, -4, -9, h.\nAnswer: -9, -4, -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61450830 to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13985304557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*s = 103*s - 4950 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/20)\/(((-162)\/9)\/18).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 1 = x, 5105*x = 5100*x - 12*o - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 2\/7 (b) 0.5 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -93, -139, -185, -231, -277?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(78) - 1*sqrt(78) - sqrt(78)) + sqrt(78))*2)\/((2*sqrt(24)*-6)\/sqrt(4))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910.55 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-1))\/(144\/(-126)*21\/9)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(4)\/sqrt(2) + sqrt(2))**2 + (-2*sqrt(242))**2 - (-5 + (sqrt(10)\/sqrt(5) + sqrt(2) + sqrt(2) - sqrt(2)) + 4))*-2.\nAnswer: -1954 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-135)*15\/6. Sort p, 3\/2, 1\/3, 0.1 in decreasing order.\nAnswer: 3\/2, 1\/3, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 2. Let i be o(-2). Let w(n) = -18*n - 2 - i + 1 - 2 + n**2. Let d be w(18). Sort 0, d, -3 in descending order.\nAnswer: 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(-3*(-3)\/(-54)). What is the closest to -1\/7 in p, -0.04, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*a + 13, a - 28 = -u - 4*a. Solve -7*v + u*f = -2*v + 20, -2*f = 2*v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959 - 8*o**2 + 2952 - 8874 - 7*o**3 + 2963 + 8*o**2.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26114 and 66108778?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0*b**2 + 2*b**5 + 7*b**3 + 3*b**3 - 4*b**2 - 26*b**4 + 18*b**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w**3 - 30*w**3 - 49*w**3 + 142*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -824.161 to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646004648.\nAnswer: 2, 1657, 48733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 5*p + 15, 9*u - 4*p = 4*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r + 6. What is the remainder when t(-6) is divided by 12 + -18 + 8*(-45)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-1 + 2*d + 1)*(-1 - 2 + 6)*(8 + 0 + 1) to the form y*d + t and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-154))\/(58025\/(-974820)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3525699, -7051379, -10577049, -14102703, -17628335, -21153939?\n\"Answer: s**3 - s**2 - 3525684*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 11*g + 11. Let c = 3 + -2. Let b(k) = -3*k**3 + 2*k**2 - 1. Let u be b(c). Let n(m) = m**2 + 2*m - 2. Give u*p(h) - 11*n(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. Suppose 99 - 17 = n*s. Find the third derivative of 41*p**4 - s*p**4 + 5*p**6 - 11*p**2 wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 927075 - 199534. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 874.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n - 38. Give c(10).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140183 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -4*l - k, -4*k - 6 = -10. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710 = 873*n - 683*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c*r**6 + 5*c*r**3 - 57*c*r**2 - 2*r**2 wrt r?\nAnswer: -1680*c*r**3 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*n - 152*n. Suppose 3\/5*c**3 + n + 0*c**2 - 3\/5*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81077 (base 9) to base 11.\nAnswer: 37043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 14*x - 213 = 0. Let j = x - -88. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 32866*u\/5 + 270043489\/5.\nAnswer: (u - 16433)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92145886 and 39491094?\nAnswer: 276437658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182\/11 - 3143\/176. What is the common denominator of j and -19\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 1, q: 1, s: 1, n: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**3 - 27*d**3 + 56*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27624 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 104. What is l(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/11*s**5 + 0*s**2 + 0 + 0*s - 14\/11*s**4 + 4\/11*s**3.\nAnswer: -2*s**3*(s + 1)*(9*s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (43 + 26 + -46)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.28 - 727.72. Let d = g - -733. What is the nearest to 1\/8 in d, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -30*p - 41. Let a be y(-6). Let v = 156 - a. Let k = 11 + 8. Do v and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(2736)*-1 + -5 - (-3 + 1 + sqrt(2736)*1 + sqrt(2736) + 3))**2.\nAnswer: 216*sqrt(19) + 24633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -5, -0.14, -0.0216?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 171750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 310193*q + 65. Give p(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 - 2*s**2 - 5. Let t(m) be the first derivative of -m**3\/3 - m - 7. Determine 4*t(h) - v(h).\nAnswer: -3*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i**2 - 4*i - 308. Let x(c) = -11*c**2 - 2*c - 154. What is 9*x(v) - 5*z(v)?\nAnswer: v**2 + 2*v + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -3351034?\nAnswer: -3351002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -49 - -16) + 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2049 + -2049.22464. Round g to three decimal places.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 1122?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501 + 499 - 2*f + 10*f.\nAnswer: 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - (-354)\/(-171). Let l = 611\/133 + i. Calculate the common denominator of -19\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**4*n)*n)\/(n**(-1)\/n)*(n*(n*n**(-1))\/n)**(6\/5) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/15 - (0 - 456\/20). Is 22 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -111001011111011?\nAnswer: -111001011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722804512?\nAnswer: 2, 3, 373, 76039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 105 = 3750. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-496)\/(-80))\/((-54)\/(-15) + -3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = -v + 28*b + 166, -845 = -5*v - 5*b. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 3, b: 10}. Give prob of picking 3 b and 1 h.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1014)\/(-540) - (-129)\/430.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) -6\/5 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -781 in ascending order.\nAnswer: -781, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2925865.\nAnswer: 5, 53, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 10010011111111111111?\nAnswer: 10010011111111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 4, 7, -5, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - o**2 + 10*o**3 - 1 + 12*o**3 + 3*o + 5*o. Is 7 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.585175 years?\nAnswer: 0.003585175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 36*v**2 - 7*v - 117. Let u be a(-18). Solve u*w - 32 = -50 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -27857.\nAnswer: -27859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**2*c*c*(c**(2\/3)*c)\/c*c**(-1)*c*c\/(c\/((c*c**(-3))\/c)*c)*c assuming c is positive.\nAnswer: c**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2350, 1\/2 in increasing order.\nAnswer: 1\/4, 1\/2, 2350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*s - 5*s - 10 = 0, -a - s = 8. Let b(x) = -x + 12. Let m be b(7). Put 4, a, m in decreasing order.\nAnswer: m, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -93, 18, -2\/15, -17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/60 and 35\/256.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474754 is divided by 1283.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2767*t**4 - 30*t**2 - 2357. Let w(a) = -2768*a**4 - 40*a**2 - 2359. Let v(s) = -4*b(s) + 3*w(s). Differentiate v(o) with respect to o.\nAnswer: 11056*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14)*996\/(-1079).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(22)\/sqrt(2) + (-1*sqrt(110))\/sqrt(10))*4 - (0 + sqrt(1100) + 2 + 4))**2.\nAnswer: -280*sqrt(11) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 102 = 4*y, 8 = -5*b - 2. Let g = -8 + 14. Calculate the greatest common factor of y and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -124*x. Let a be z(-1). Let v be (-9)\/12 - a\/(-16). Let s = 27 - v. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g**3 + 6*g**2 - 9*g - 4. What are the prime factors of s(3)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6463.328453 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -32, -80, -146, -230, -332, -452?\n\"Answer: -9*t**2 - 3*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)\/z*z*z*z\/(z\/(z*z*z**18*z*z*z))*z)\/(z**(-2\/9))**(-19) assuming z is positive.\nAnswer: z**(908\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 3*k + 147, -4*k + 140 = -2*a. Let f = -49 - a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:48 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2.5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i**3 + 157*i**2 - 38*i - 6. Let j be o(8). Let d = 235 + 275. What is the highest common divisor of d and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 77\/33 - (-2)\/(-6). Let g be (-72)\/(-27)*6\/d. Suppose 2*x - g = -0*x. Solve 0 = -2*b + x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (10 + -7 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 189081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/3 + 3\/(-1). Let p be -2*(a - (-9)\/3). Calculate the greatest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 66*o + 2495. Give k(-35).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.248 or 3?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2586945 divided by -4?\nAnswer: 2586945\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817509?\nAnswer: 3, 7, 11, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 79, -245 in descending order.\nAnswer: 79, 2, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/12 + p**3\/6 + 5*p**2\/2 + 33*p. Let s(r) be the first derivative of q(r). Determine s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447415972 by -1871.\nAnswer: 239132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - 169. Let i = 18 - c. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 1, 4, 5 in descending order.\nAnswer: 27, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxrrrrrrrrrxrrrrrr. Give prob of picking 2 x.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2444 + 2444 + m. Let x(y) = -3*y**3 - 7*y. Give -6*s(k) - x(k).\nAnswer: 3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 105395.7162 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 4*o, 3*o + 13 = 4*n + n. Let b(c) = c**2 - 4*c + 5. Let t be b(4). Solve -t*p = -4*v + 17, 0*v - n*p = 3*v + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -48. Suppose m = 5*w - 7*w - 618. What is the tens digit of (36\/15)\/(w\/(-300) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25545739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2511158 divided by 3274.\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*q + 4*q. Let z = q - 66. Let j = 52 + z. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + m**3 + 0*m - 81 + 71*m - 76*m to y*m**2 + w*m + p + t*m**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**5\/20 - l**4\/6 - l**3\/3 + 9*l**2\/2 + 10. Let i(t) be the second derivative of g(t). What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from hryooprhrhroo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-3)\/(-7) - (-1400)\/(-2352)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2841884, -2841862, -2841840?\n\"Answer: 22*u - 2841906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*j - 1513*j + 892*j.\nAnswer: 199*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-9\/2))\/(o**(2\/33)\/o*o*o) assuming o is positive.\nAnswer: o**(293\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hao when three letters picked without replacement from {a: 3, o: 5, h: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 11 + (-3 - (-5 + 3) - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*i**2*l - 25*f**2*l - 510*f**2 + 75003*i**2*l wrt i?\nAnswer: -4*f**2*i*l + 150006*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/8*(-2)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2 + 2)*(-1 + 1 + 1)*(0*f**2 + 0*f**2 + 2*f**2).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - 278. Let i be 1 + (1\/(-2))\/(6\/f). Suppose o = 4*t + 4*o - 30, 4 = -t + 5*o. What is the highest common factor of i and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 132\/(-44) + (-4834)\/(-1512) and -163\/270.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-14)\/35)\/(4\/(-10)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 5 - (-20)\/1. Which is smaller: h or 18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/30 - d**4\/12 + 24*d**2. Factor a(s).\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -0.07, -3\/13, 2, -2, 4 in ascending order.\nAnswer: -2, -3\/13, -0.07, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1668158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/16 + 13)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -2*c + 177. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/6))**(-25))**(-21)\/((q\/(q**(1\/2)\/q))**(17\/3))**(-1\/21) assuming q is positive.\nAnswer: q**(1846\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m**2 - 16*m + 60. Let x(d) = 23*d**2 - 19*d + 60. What is 6*h(c) - 5*x(c)?\nAnswer: 5*c**2 - c + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*p = 0, -23*l + 3*p - 16 = -28*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r - 17. Let d(u) = 4*u + 8. Let o(t) = -7*d(t) - 3*y(t). Let v be o(-7). Let z = 14 - 10. Sort z, -5, v.\nAnswer: -5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.92309 nanometers in centimeters?\nAnswer: 0.000008692309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 228 + 72 = 0. Calculate the remainder when (80\/3)\/(1\/z) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-4) + (-270)\/216. Let l be ((-2)\/12)\/((-2)\/6)*z. Factor 0*v**2 + 0*v - 2\/7*v**l + 0 + 2\/7*v**4.\nAnswer: 2*v**3*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -122.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227855 * 1.3.\nAnswer: -296211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91791682 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 15, 0 = 3*j + 2*c + 25 - 43 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.6 less than -38493.757?\nAnswer: -38354.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + ((1 + sqrt(7))*-3 + -2)**2 + ((sqrt(448) - 1*sqrt(448)*-2)**2 - (0 + sqrt(448) - sqrt(448))*-2)).\nAnswer: -8248 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4533*x - 9063*x + 4529*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10336 - -10339. Sort 2, -6\/11, p, -10, -2\/11 in decreasing order.\nAnswer: p, 2, -2\/11, -6\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(78064\/2050 + 2\/(-25))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 6*a - 2. Let q be o(6). What are the prime factors of q\/10 + 848\/40?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13264 + 13269. Let b = 1.3 + -0.9. What is the smallest value in 3, 1\/5, o, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 1 + (-3 + 3 - 1)*(1 - 3 + 1) + 0 + 0 - 4)*(-7*o**2 + 35*o**3 - 460682 + 460682) in the form x*o**3 + y*o + s*o**2 + u and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/5 (b) 0.1 (c) -0.1 (d) 773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(55)*-1*-3)\/(-5*sqrt(44)\/sqrt(4)).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -923, -1421, -1957, -2543, -3191?\nAnswer: -3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 277724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04246 and 0.8.\nAnswer: -0.033968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -11a458?\nAnswer: 11a457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 2*g**2 - 2. Let f be n(2). Let j be (42\/4)\/((-2)\/(-4)). Let d = j - f. What is the greatest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2104*w - 2 = 2105*w - n, -5*n = 3*w - 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-12) - 1)\/(2\/(-3)). Let j be (-2)\/4*0\/(-9). Suppose 5*q - 5*m = j, -5*q = -0*q + 5*m. Sort f, 1, q in descending order.\nAnswer: 1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-20) + 291\/(-690). Let c be (-2 - 18\/(-4)) + (-7)\/14. Suppose 8*u = c*u - 6. Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7466828.\nAnswer: 7466827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((4 + -1)\/(-18)) - -1. Let m = -6 - -5.97. Which is the second smallest value? (a) 0.2 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000075962266 rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071597 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + 2480*k + 17246. Determine z(-7).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1427*g - 1. What is the tens digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*f**3*w**2 + 12*d**3*f - d**3*w**2 - 4*d**3 - 8823*f**2*w**2 + 327*f wrt f.\nAnswer: -12*d**3*f*w**2 - 17646*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 12*t - 25. Let p be b(-9). Suppose 2*w - 29 = w + 5*l, 5*l + 9 = -4*w. Find the third derivative of 7 - 11 - 2*d**p + w + 3*d**3 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-1890)*-99*(-12)\/(-22).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(-1) + 300\/(-585). Which is the nearest to 1? (a) h (b) 2\/47 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8457*t - 500567 - 358263 = 71440 for t.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -478099 - -5?\nAnswer: -478094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 3) + -18 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(242)*-1.\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + 0*u**3 - 3*u**3 + (-1 + 1 + 2)*(-4*u**3 + 4*u**3 + 3*u**3))*(2*u - 2*u - u - 3) in the form i + a*u**4 + c*u**2 + m*u**3 + r*u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 - -200.754. What is c rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.596 - -68.604. Let q = r - 69. What is the fourth smallest value in 1\/3, -2\/9, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 11*v + 84. Suppose 0 = 2*o + 2*o - 1100. Suppose -5*f = -x + 5*x - o, 4*f - 3*x = 220. Calculate the remainder when f is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 7840?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*a + 5235 + 5215 - 9858 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {x: 1, n: 2, t: 6, k: 2, l: 7}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -1. Suppose 4*s + m = 267, 15 = s - j*m - 45. What is the greatest common divisor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -140042 or -140121?\nAnswer: -140042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4935.8035 + -5824.\nAnswer: -10759.8035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5084679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -0.28.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(7 - 56\/((-30)\/(-15))). Factor -8\/7*s - 8\/7 - c*s**2.\nAnswer: -2*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 6*b**2 - 5*b + 11. Let a be t(-6). Calculate the common denominator of -77\/18 and (a\/(-18) + 2)\/(36\/414).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 6*y + 5568. Let d = y - -532. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((5*sqrt(36))\/sqrt(3))\/sqrt(4) + 1)*1.\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2035.6 - -2038.6. Sort -3, 5, -4, 11.4, v in descending order.\nAnswer: 11.4, 5, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**23\/(c**(-3\/10)*c**(-1)) assuming c is positive.\nAnswer: c**(-217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107100 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2480 - 2483. Let h = -4.18 - 0.82. Which is the biggest value? (a) z (b) h (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 8) to base 7.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/44 and -107\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-2)\/(8\/54). Let t be 106\/9 + (-12)\/i. Suppose -t + 4 = -4*l. What is the lowest common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 361?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26204?\nAnswer: 2, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -321, -347, -395, -471, -581?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 14 = -c, 0 = -5*c + 2*o - 4*o - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -78771 (base 13) to base 6\nAnswer: -4404510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 273*g**2 - 5. Let a be s(4). Let n = 69849\/16 - a. Find the common denominator of 124\/(-32) + (4 - 2) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10301\/464 + -526\/29. Let o = -3803 - -10334. Let n = 52183\/8 - o. Find the common denominator of n and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 37*t + 167. Let f be l(32). Sort -3, f, -15, -2 in decreasing order.\nAnswer: f, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 455*t**2. Let c(n) be the second derivative of 5*n**4\/12 + 2181*n. What is c(w(d))?\nAnswer: 1035125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22320\/450 - 28\/(-70)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*r + 5*r + 5*m, -7*m = -5*r + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubppwwp. Give prob of sequence wb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 6 + 3)*(3 - 3*l - 3) + (-3*l + 3*l - 2*l + (3 + 1 + 15)*(-l + 4*l + 0*l))*(2 - 4 + 1))*(8*l + 7 - 7) to the form z*l + y*l**2 + a and give y.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42632 - -45608. What is x rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4890658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27*k**3 + 38*k**2 + 28*k. Let l(a) = -18*a**3 + 25*a**2 + 20*a. Give -7*l(n) + 5*m(n).\nAnswer: -9*n**3 + 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -4, 28, 56, 80, 100?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*(11 - -1). Let o = 689 + -686. Suppose -o*h - 45 = -v*h. Calculate the highest common factor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 3\/80*j**5 + 2 - 9*j**2 - 5\/8*j**4 - 13*j + 7\/2*j**3. Suppose n(a) = 0. Calculate a.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -7 + 24 + 8 + -2 + -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16872 and 608?\nAnswer: 67488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-168)\/12*12\/(-28)*(2352 - 0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 173358, 173295, 173232, 173169, 173106, 173043?\n\"Answer: -63*s + 173421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*q = 180*q + 32. Let l = -28 - -28.1. Put 41, q, l, -1 in descending order.\nAnswer: 41, l, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7 + 13\/7*d**2 - 19\/7*d**3 - d**4 + 19\/7*d = 0. What is d?\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4622 and 13\/12.\nAnswer: 27732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 995 and 166445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1155640 divided by -1670\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n + 54*n + 37*n = -10*z - 50*n - 106, 4*n - 260 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-1)\/3). Let l = -34 + 18. Let i be l\/(-20)*5\/(-2). Is i >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.08 - 0.08. What is the third biggest value in -0.2, 0.06, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450) + sqrt(450)*-2 - sqrt(450))*-5)\/(3*-2*sqrt(10) + (sqrt(110) - (sqrt(110) - (1*sqrt(110) + sqrt(110))))\/sqrt(11)))**2.\nAnswer: 3645\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4107 + 4171 + i - 8257.\nAnswer: i + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/12)\/((72\/15584)\/3). Let o = n - -395. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/5 + 1331*w**4 + 14725044*w**3\/5 + 10747640128*w**2\/5 - 187895333888*w\/5 - 132003545088 = 0. Calculate w.\nAnswer: -2224, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (25\/500*-10)\/(7\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/43 + 47\/86. Let n = -8 - -7.94. What is the third smallest value in n, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 3)*(-12*s**2 + 65*s - 65*s).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:59 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + 0.62. Let i = 1.6 + 0.4. Which is the second biggest value? (a) 0.3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -347. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6867 + -6559. Calculate the highest common factor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1)\/((-3)\/(-3)). Let g(s) = s**2 - 1. Let q(p) = p**2 + 9*p - 8. Let i(y) = 2*g(y) - q(y). Let r be i(8). Put r, 1, o in descending order.\nAnswer: 1, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*p - 140246 + 1205769 + 1419543. Calculate the remainder when p is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (8 - (21 - 8 - 5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319953699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931313331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*l**2 + l**3 + 231*l**2 + 84*l**2 - 449*l**2 - 363*l**2 to f*l + w*l**3 + z + n*l**2 and give n.\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/20)\/((-6)\/(-80)). Suppose 0 = 3*h + h - j. Solve -4*p = b - h, -2*p = 5*b + 2 - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/5)*m)**(3\/8))**(-8\/5)*((m*(m*m**1)\/m)\/m)**(3\/5)*m*m*m**(-8)*m*m**(-2\/7) assuming m is positive.\nAnswer: m**(-1009\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -38*p + 14*p + 378664. What are the prime factors of p?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/12*(-12 - 0) is divided by (-26)\/(-8) - 2\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4011564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*c + 10, 4*s - 16 = -c - 3*c. Let g(w) be the first derivative of -2*w**2 - 2*w + 6916. Let b(n) = 3*n - 5 + 5 + 1 + 0. Give c*b(p) + 2*g(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.57 + 0.43. Let x = k + -41. Let o = -21.4 - -21. Which is the smallest value? (a) 5 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from fsdqffsqfdqfffsf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzhh. What is prob of picking 2 h and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 40155 - 14*a**2 - 40151 + a**4 - 15*a**2 as d*a + w + h*a**4 + t*a**3 + s*a**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(2\/5)*c)*c)**(-40)*(c\/(c*(c*c**(2\/3))\/c*c*c))**(-2))**11 assuming c is positive.\nAnswer: c**(-616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1194.8 and -4.\nAnswer: -1198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539644.23 take away 4?\nAnswer: -2539648.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354968*t**2 + 9681 - t + 1370 + 354967*t**2.\nAnswer: -t**2 - t + 11051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.383536 nanograms in tonnes?\nAnswer: 0.000000000000001383536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -234344 divided by 1\nAnswer: -234344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 + 4*z + 3. What is the units digit of y(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 + 107*u - 218. Give o(19).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -105, -147, -189, -231?\n\"Answer: -42*f - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + (-10 + 2 - -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281 - -284. Suppose 0 = g*c + 5*s - 1309, s - 1905 + 604 = -3*c. List the prime factors of c.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, 3, 0.8, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 28*o + 21. Let a(b) = -b - 1. Give 21*a(n) + z(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, s: 5}. What is prob of sequence sxs?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let j(n) = -282 - 2*n**2 - 108 + n**2. What is j(m(f))?\nAnswer: -f**4 - 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 37908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104765234 to the nearest integer?\nAnswer: 10235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 50*c = 328. Let i(p) be the third derivative of 8*p**2 - 1\/120*p**6 + 0*p**3 - 1\/15*p**5 + 0 - 1\/8*p**c + 0*p. Find y such that i(y) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5135 - -5134.8. What is the nearest to c in 1\/2, 1, 3\/7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 19*q + 561. Let c(m) = 22*m + 560. Calculate -6*c(l) + 7*u(l).\nAnswer: l + 567","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6064 - 5988. Solve 180*c = 161*c + b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {n: 3, d: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19341 - 19?\nAnswer: 19324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265414960.\nAnswer: 2, 5, 15817687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 3. Let h be k(3). Solve 2 = -2*i, h*f + f + 20 = -4*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 44. Let w(p) = p + 7. What is w(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102102001012202 (base 3) to base 11\nAnswer: 3471454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = y - 12, 3*y - q - 9 - 27 = 0. Let l(u) = -2*u**2 + 2*u**2 - 7 - u**2 - 7*u. Let v be l(-5). Solve 2*b = 3*m + 4*b + y, 4*b = -v*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10263027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((-15 - 0 - -3) + 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) 2 (b) 24 (c) -1\/5 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyivtccvvciliy. What is prob of sequence ily?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62 - (-25 - (-94 + 41))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -2 + w - 1\/2*w**2. Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = 50*v - 163 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195382550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187.0257 + 187. What is n rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2625 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10\/j)\/j)\/(j*(j\/(j*j*j**(2\/13)*j))\/j)*((j*((j\/(j*(j**(-8)\/j)\/j))\/j)\/j)\/j)\/j**(-7) assuming j is positive.\nAnswer: j**(327\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 22 = -5*y, 11*f = 9*f + 3*y + 16. Suppose f*x**2 - 6\/5*x**3 - 2\/5*x**4 + 0 + 2\/5*x**5 - 4\/5*x = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -30 (b) -0.3 (c) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 10*n**3 - 3 - 4*n**3 - 4*n**2 + 4*n**2 - 2*n**3 + (2 - 2 + 2)*(2 - n**3 - 2) + (-2*n**2 + n - n)*(-2*n + 2 - 2).\nAnswer: n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1611.7 - -1429.76. Let j = -182 - v. Which is the closest to 0.2? (a) 0 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 13*d**2 + 11*d - 7. Let o be v(-12). Let j = 0 + -0.4. What is the smallest value in o, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1038334 or 1038230?\nAnswer: 1038230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -30. What is the units digit of -2 - 3\/(w\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63874 is divided by 15967.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1856753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749*((-95)\/(-228) - (-1)\/4)?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4881*d**2 - 6291*d**2 + 7082*d**2.\nAnswer: -4090*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299834.\nAnswer: 2, 197, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4786*w = 4772*w + 1682338. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 8 (c) -5 (d) -7 (e) -16\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Suppose -1 = -v + k + 6, -5*k = 3*v + 19. Let m(r) = 6*r. Give v*m(b) - 11*n(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-10)*(191 - 201)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/97391 - 292183\/486955. Which is the third biggest value? (a) 0.053 (b) p (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 5*r)*(r**2 + r**2 + 0*r**2)*(0*r - r + 9*r) to z*r**3 + x*r**4 + l*r**2 + k + w*r and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = -3*l. Let k = l + -2. Suppose -k + 2 = -3*u + 3*n, 2*u - 3*n = 6. Is 1\/11 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 38. Let u = s + -10. Suppose t = h - 61, -5*h + u*h + 119 = -t. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = -0*h. Suppose 162 - 432 = -30*v. Solve -v - 15 = -h*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*j**2*y**3 + j**2*y + 2*j*y**4 - 2*j*y**3 - 2*j*y + 23*y**2 wrt y.\nAnswer: -624*j**2 + 48*j*y - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/722970 and 91\/481980?\nAnswer: 1445940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3*l - 4*l)*(-21426 - 4926 - 51491 + 1744 - 25017 - 63624) in the form r*l + f and give r.\nAnswer: 329480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060779 and 7021929?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r - 2*c + 8, 0 = -5*r - c + 7. Let a(i) = -i**3 + 4*i**2 + 6*i - 1. Let p be a(5). What is the greatest common divisor of p and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242490 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.103 - 157.103. Let x = u + 60. Let h = -97.078 - x. Round h to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 78*t - 294, 22*t = 61*t - 38*t - 3 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:16 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*p + 800*p + 23959 = 80676 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let h(a) = -a**2 - 4*a**2 + 8*a**2 + 2*a + 0*a. Let v(l) = -30*l**2 - 21*l. Let y(z) = -21*h(z) - 2*v(z). Determine y(x(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**5\/20 - x**4\/2 - 81*x + 28. Let w(h) be the first derivative of l(h). Solve w(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47418095?\nAnswer: 5, 9483619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 403928 from 54.160908.\nAnswer: -403873.839092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 + 6. Let h be v(-5). Let k(u) = -9 - 3*u + 0*u + 5*u. Let s be k(h). Solve 5*f = s*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = 173*z - 1864. Solve 32*u = 35*u + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519054300.\nAnswer: 2, 5, 103, 147481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*y + 5 = -2, 3*k + 15 = 3*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*f**3 + 13*f + 29690 - 29690.\nAnswer: -92*f**3 + 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**4\/4 + 10*u**3\/3 + 7*u**2\/2 - 8*u - 6. What is the smallest common multiple of o(-9) and 3*(-1 - 10\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(1\/6))\/o*o\/(o\/(o**36\/o)*o))\/(o**(4\/11))**(-2\/13) assuming o is positive.\nAnswer: o**(29935\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 1060\/9. Let y be (24\/16)\/(3\/4). Let v(q) = q**3 - 2*q**2 - q + 1. Let t be v(y). Which is the nearest to k? (a) t (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 75*w**2 - 65*w - 63. Let y be o(-1). Let s be (-9)\/2*(-156)\/9. Is y bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3400 - 78*c**3 + 9*c**2 - 165*c**2 - 3400 wrt c.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 4200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let o be 6\/(((-45)\/6)\/(-5)). Let p = i + o. What is the nearest to p in 0.4, -2\/7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*q - 8*q - 5 = 0, z = -2*q. Let v be 16\/z*10\/2. Calculate the greatest common divisor of v and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -149634 (base 10) in base 2?\nAnswer: -100100100010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6212 and 91\/20.\nAnswer: 31060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -32915*x**4 - 65828*x**3 + 32919*x**2 + 65828*x - 4 = 0. Calculate x.\nAnswer: -2, -1, 2\/32915, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*g**6 + g**2 + 14.\nAnswer: -24000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -793.\nAnswer: -1\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -11. What is the smallest value in -9, -1\/12, g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(277830\/168))\/(76\/10 - 0). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 - -432. Is 28 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*1\/1*2. Let z be (18\/(-4))\/(2\/h). Calculate the remainder when 4\/(-18) - (-364)\/z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/19))**12)**(-35) assuming s is positive.\nAnswer: s**(2520\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1275\/2380*196\/(-1120)*4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*k - 513, -4*k - 207 = -2*r + 119. Suppose 5*i = 6*i - r. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h + 1. Let u be f(-3). Suppose 32 = -u*v + 8*v. Calculate the lowest common multiple of 10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000314 to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3111.49988564 + 3111.5. What is u rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 83*u. Solve 6\/5*a**2 + u + 2\/5*a**3 + 4\/5*a = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75334, 75952, 76570, 77188, 77806, 78424?\n\"Answer: 618*a + 74716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1452 + -1455. Put 3, w, 13, -2 in increasing order.\nAnswer: w, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 10, -18.\nAnswer: -18, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 67*y**2 + 131*y + 57. Give l(-65).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtvkyii. Give prob of picking 1 y, 1 k, and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/9)*x*x**(-7)*x*x**(-2\/5)\/x*x**(-2\/25) assuming x is positive.\nAnswer: x**(-1283\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 519424608 to the nearest one hundred thousand.\nAnswer: 519400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 369110 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 22*b**2 + 17*b - 15. Let v(y) = -y**3 - 22*y**2 + 17*y - 14. Let f(o) = 2*v(o) - 3*w(o). Is f(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -60. Put y, -1, 0, 2 in increasing order.\nAnswer: y, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 4200 = 24*y. Suppose 3*j + r - 921 = -r, -j + y = 3*r. List the prime factors of j.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -1\/4*t**4 - 329 + 1\/2*t**2 + 7\/3*t**3 - t. Let f(w) = w**3 - w**2 + 3*w - 3. Let c be f(2). Calculate o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = 25. Suppose 0 = -2*c + h - 6, 3*c + 6 = 3*h - 0*h. Sort y, c, 1.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -394, -859, -1502, -2323?\nAnswer: -3322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -3964?\nAnswer: -39640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 21)*(8 - 4 + a + 0*a).\nAnswer: -28*a - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:51 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((19 + -8 - 2) + 0). Let o(q) = -2*q - 7. Let n be o(-5). Let z(c) = c - 1. Let k(v) = v - 1. What is n*k(r) + w*z(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 2 in increasing order.\nAnswer: -5, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -631 divided by 67457\nAnswer: -631\/67457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 4*w)*(-120 - 13 - 94)*(0 - 4 + 15)*(2 - 7 + 1).\nAnswer: -19976*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.24, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 405*y**2 - 4857*y - 50. What is x(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04522 + 0.0732032. Let a = -1.5 + 1.528. Let m = a - u. What is m rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -11*w + 17*w + 10 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.597 - 14.177. What is the smallest value in 2, 3\/2, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1310508 = -4*g + a, -4*g = 3*a - 1310492. Let z be g\/39 - (-2)\/(-3). Round z to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (0 - -2))\/(-1). Let o = p + 1. What is the units digit of 6 + o\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(798\/(-551)) - 3\/(-1)*3\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.363 + 0.037. Let w = -18 + 19.2. Let z = w - 2.2. Which is the closest to 0.2? (a) z (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-7191)\/(-5967))\/((-3)\/9))\/(-1) and (-1)\/(-3) + (-398)\/(-264)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 + 591 = -p. Put 1, -3, p, 251 in descending order.\nAnswer: 251, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48b782 (base 12) to base 14.\nAnswer: -22a72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 6) to base 8\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9126.6 - -7661. What is m rounded to the nearest ten?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10385 and 23850191.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 377\/3 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176656 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 50*m - 160 = 0. Let j(g) = g**3 + 20*g**2 - 18*g - 12. Is j(m) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34267?\nAnswer: 34267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010010001100 + 1110?\nAnswer: -1000001010001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**3 + 5*s**3 - 76*s + 30*s**2 - 2*s**3 + 9*s**3 + 4*s**2 = 0. Calculate s.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 7241304 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6440*d = -6439*d + 7*b - 41, d + b = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4398.07287 and -592467.\nAnswer: -596865.07287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, 4, 57, 120, 187, 252, 309?\n\"Answer: -b**3 + 14*b**2 + 2*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 2, u: 3}. Give prob of picking 1 u, 2 i, and 1 d.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-440)\/(-9 - -5))\/2. Suppose -3*g + t = -n, -5*g + 28*t + 90 = 26*t. Solve -10*k - g = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319137568 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 87 - (2 + 30\/12*2). Let z = 0 - 0. Let f = q + z. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-3 + sqrt(27)*-2*3).\nAnswer: -108*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 2 - 2)*(-p - 4*p - p) - 2 + p**2 + 2 - 19*p**2 + 14*p**2 + p + 10*p**2 to v*p**2 + x + k*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 166, 371, 668, 1063, 1562, 2171?\n\"Answer: q**3 + 37*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**2 + 18*o + 2. Let m be x(-7). Let r = m + 11. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (98\/84)\/(35\/15). Is 3161 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1675 greater than or equal to -1676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -761246, -761233, -761212, -761183?\nAnswer: -761146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15))\/(3\/9). Let x = -1 - g. What are the prime factors of -1 + 19 + 2 - x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -3 + (278 + -263 - (4 + 2)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -7)*52\/(-2). Suppose 699 = -56*l - 30*l + 1043. Calculate the highest common factor of l and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-15))\/(1\/(-10)). Suppose -p - d = p. Let y = -2 - p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24980156 is divided by 4131?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 62. Let l = 497 - 499. What is the closest to l in 0, h, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-182) - (-3)\/26*204.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkkkrkrkkrrr. Give prob of sequence kr.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 17 = -10*p + 14*p, -2*a + 2*p + 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275607174 to the power of 1\/2, to the nearest integer?\nAnswer: 16601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 13, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 3 (c) -2\/7 (d) -0.1 (e) -1 (f) 2032\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 0.3, 0.03 in decreasing order.\nAnswer: 0.3, 0.03, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44701499003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 228, 507, 896, 1395, 2004?\nAnswer: 2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*r - 993471 - 1947213 = 0. Is r a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6365)\/10)\/((-3)\/6) - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5))**(-24)\/(g**8*g\/(g\/g**(3\/10))*g*g) assuming g is positive.\nAnswer: g**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.3 (c) -3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 <= -14692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 8) - (8 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 115*p + 435. Let d be b(-61). Solve -d*y + 20 = 12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 12. Let s(l) = 1. Let g(b) = -6. Let i(d) = g(d) + 3*s(d). Let f(y) = 9*i(y) + 2*x(y). What is the first derivative of f(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 - 5*s + 2. Let z(g) = -g**3 - 6*g**2 - 6*g + 2. Let v(q) = 6*x(q) - 5*z(q). Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6)\/(-5)*35\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:52 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**4 + 5*a**3 - 5*a**2 + 11. Let u(k) = 4*k**4 - 4*k**3 + 4*k**2 - 10. Let r(v) = -5*u(v) - 4*x(v). Differentiate r(s) with respect to s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -655.9 + 656. Suppose 0*i - 5*i = 45. What is the biggest value in 0.13, i, w?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 23*v + 16*v - 36*v + 5*v - v**3 - 30*v**2 + 183 + 29*v. Let j be s(-31). Which is the fourth biggest value? (a) j (b) -8 (c) 2\/13 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 3\/5, -16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -2595?\nAnswer: -259a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*a + 13 = -8*h, 10*h + 2*a + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + k - 3 + (-1 + 3 + 0)*(0*k + k - 2*k) + (3 - 1 - 1)*(-5*k + 2*k - 3*k) as h*k + r and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 920331283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-11 + 20 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8289\/2763)\/(6\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11034580 and 57379816?\nAnswer: 286899080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1737*t + 938 - 479 - 1060 - 582 wrt t.\nAnswer: -1737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/584843 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63093168 is divided by 3949.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*1*-1)\/((sqrt(99) - (1*sqrt(99)*-5 + sqrt(99)))\/sqrt(9)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 17, f: 2}. Give prob of sequence fr.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1 + 0*v - v + 3 + 0. Suppose 7*w = 5*w - 12. Determine n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 - -150. Suppose -n*s - 5 = -65. Suppose -h - 2*h - s = 0, 44 = 3*c - 4*h. Solve -d - c = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2837 + -0.0837. Which is the closest to 0? (a) -3\/4 (b) -4\/3 (c) -4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5)*4*-2 + sqrt(5) - sqrt(5))**2 - (sqrt(15) + sqrt(15)*-2)\/sqrt(3)).\nAnswer: -960 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293 - -321. Solve -4*j - m = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110101 - -10?\nAnswer: -1110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(640) + sqrt(40) + sqrt(40))\/sqrt(8))*5.\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t. Let g(q) = 1639*q - 5. Calculate x(g(s)).\nAnswer: -16390*s + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 divided by 178?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = -2*m, 3*y + 1 = 4*y + 3*m. Calculate the lowest common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5950 - -6329. Which is smaller: t or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 2*q**2 + 10*q**2 - 5*q**2 in the form t*q**3 + a*q + o + d*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -74*t - 129. Let i be r(-3). Solve -28*v = -9 + i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-37)\/(-5) - -2 and 0 - (43\/6 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -134 + (12 - -9).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267135107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287.46 - 1024.76. Round x to the nearest ten.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*s - 95 = 223*s. What is the biggest value in s, -6, -1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1061.977133 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030059577 rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 2*h**2 - 3. Let q be (-1)\/4 + (-44)\/16. Let c be j(q). Let x = 27 + c. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1)\/sqrt(4))\/sqrt(800).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maemmymmmmemfmk. Give prob of picking 1 k and 1 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/2)\/(5 + 7 - 10). Suppose -3*c - 2220 = -3*p - d*c, 0 = -5*p + 2*c + 3691. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1436 - -9363.8564. Let y = -9343.095 + x. Let t = y + -22. Round t to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3*z = 40. Suppose -2*a = z*o - 354, 0 = -o - 3*o + 2*a + 374. Let i = o + -86. Solve i*g + 22 = 4*h - 0*g, -h + 2*g = -7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/56 and -53\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/48331 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 23 = 5*g, 3*g + 7 = p + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 33736715 and 33736711 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.3 + 15.73. Round j to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1669\nAnswer: -5\/1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12183 and 5547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - x**2 - 4 + (-2*x - x + x)*(0 + 0 - 5*x)*(-3 + 3 + 7) as t*x**2 + j*x + o and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*d - 10 = -y, 2*y - 12 = 4*d. Let u(g) = 0*g**y + 3 + 0*g**2 + g**2 - 2*g**2. Determine u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 165 = 2*b. Let v be b\/(-21) - 6\/(-14). Let m(j) = -j**3 + 7*j**2 + 4*j + 5. Is 51 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 710a0 (base 13) to base 10\nAnswer: 202254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 - (-3)\/1. Suppose 2*j - 4*b = 116, 3*j + 3*b = -j + 276. Let w(m) = 3*m - m - 134 + 67 + j. What is w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2537 + -2533. Sort 2\/5, -2.2, u in decreasing order.\nAnswer: u, 2\/5, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*k**2 - 2*k**3 - 17*k**2 + (k**3 - 5*k**3 + 2*k**3)*(-5 + 3 + 3)*(4 - 5 + 8).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) 2 (c) -4\/5 (d) -1 (e) -3 (f) -61\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcc when three letters picked without replacement from dcndddddddccc?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1932 and 37605.\nAnswer: -72652860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 2*m)*(-2*m**2 - 2*m**2 + 3*m**2) + 0*m**3 + m**3 - 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1228, -2788, -4344, -5896, -7444, -8988, -10528?\n\"Answer: 2*c**2 - 1566*c + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n. Suppose -3*v = v - z + 15, -5*v + 2*z - 15 = 0. Let y be b(v). Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 19*o**2 - 79*o + 31. Give v(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 71\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1054106 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 4*y + 11. Let m be -23 + 0 - (-50 - -36). Calculate c(m).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-13))\/q**(-2\/11))\/((q**(-15)\/q)\/(q\/(q\/((q*q**(-14)\/q)\/q)))) assuming q is positive.\nAnswer: q**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u + 3. Let h be y(6). Let p be (-4 + 55\/h)*0. Suppose p = -0*k - 2*k - 10. Which is greater: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + 1555?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-18) - (-24)\/(-108). Let w = 0.14 + -0.12. Which is the second smallest value? (a) u (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9097.79 + -9098. Which is the closest to -1? (a) q (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6159420 and 540300?\nAnswer: 30797100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**6 + 5*b**4 + 30*b**2.\nAnswer: -840*b**3 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*g - g - 8, -2*c + 4*g + 4 = 0. Let v be 10*(0 - 3\/(-6)). What is the remainder when v\/10 - (-82)\/c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d45 - 3?\nAnswer: 1d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/15 + 8*j**2\/5 + 58*j\/15 + 12\/5 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-84)*-3)\/(8\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 17*i + 1. Let s be t(7). Suppose -4*b - 3*l - s = 0, 2*b = -l + 6*l - 55. Is 4\/b + 2112\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1365, -1630, -1895, -2160, -2425?\n\"Answer: -265*i - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 42003262?\nAnswer: -42003261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by -5?\nAnswer: -162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-3) + -3)*(-6)\/(-24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from llilrerjrljol?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -817806*v + 254. Let u(t) = 9*t**3 + 2*t - 2. Let i be u(1). Let z be q(i). What is z rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 2. Let p(z) = -2*z + 2. Suppose v = h - 1 - 2, -3*v = 4*h + 23. What is h*p(q) + 3*o(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -29. Let x(g) = g**2 - 15*g + 5. Let y be x(w). Which is the smallest value? (a) 0 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = -16. Solve w*y + 12 + 3 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-27)*l*l\/(l*(l\/l**27*l)\/l*l))\/((l*l\/l**(-1\/6)*l)\/l)**(-17) assuming l is positive.\nAnswer: l**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {f: 1, h: 2, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*(5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87208, -85442, -83676?\n\"Answer: 1766*d - 88974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*r**2*s**2*t**3 + 54*r**2*s**2*t + 4*r**2*t**3 - 6*r**2*t - r*s**2*t - 2*r*s*t**2 - 4*s**2*t**2 wrt t.\nAnswer: 1920*r**2*s**2 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-2*d**2 - 2*d**2 + 0*d**2) - 17 + 17 - 5*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = -k, -15*k = -11*k - 2*r - 18. Let i(l) = 7*l**2 + 2*l**2 + k*l**2 + 5*l - 20*l**2 - 6 + 6*l**2. Suppose g = 3 + 1. Determine i(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = 4*l + 7, 0 = 3*l + 15. Let h be 4 + (-10 - f) + 7. What is the second derivative of -b**h - 64 + 18*b + 64 + 2*b**2 wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.9 + -9.956. Let v = -5.056 - o. What is the third biggest value in v, -0.1, 2\/3, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 4, v: 2, c: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3418\/3 - 1125. What is the common denominator of -74\/9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 3, w: 3}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 3*y + 8. What is the remainder when v(4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.146, -0.2, -7, -1, -6\/19 in descending order.\nAnswer: 3, 0.146, -0.2, -6\/19, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/2 + 6*h**3 + 5*h**2 + 5*h + 52. List the prime factors of t(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/11))**(-8\/17)\/(f**(-1\/19)*f*f\/(f**1\/f*f)) assuming f is positive.\nAnswer: f**(-5190\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 570 (base 13) to base 8\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**5 - 17464*i**3 + 12065*i**2 + 3*i - 2?\nAnswer: 420*i**2 - 104784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-281 + 280 - (-1 - -10))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220 (base 3) to base 14.\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/109407 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, 188, 617, 1208, 1955, 2852, 3893?\nAnswer: 5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 209*q - 1978. Determine i(-93).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b - 794. Let c be p(44). Let j(n) = n**3 - 5*n**2 + 5. Let d be j(5). Let s(m) = 8*m - 3 - d*m - 2*m - 2*m. Determine s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -54, -118, -208, -324, -466?\n\"Answer: -13*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d = -45*d - 162. Let j be (-598170)\/d + 2\/9. What is the tens digit of (-4)\/(-18) - j\/171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 7*n + 1. Let k be p(5). Suppose 3*j - k = 16. 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 prob of picking 2 f and 1 b when three letters picked without replacement from bffbfbf?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.43862ml in litres?\nAnswer: 0.04943862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.297?\nAnswer: 0.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404262, 3233838, 10914078, 25870314, 50527878?\nAnswer: 87312102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*-438709.6\nAnswer: -877419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 2. Let r be n(2). Suppose r*p = 2*p + 2*m + 32, m + 9 = p. Let i be 22\/p + 2\/(-14). Solve 1 = 4*d + h, -d - 5 = -i*h - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 755, 1150, 1563, 2000, 2467?\nAnswer: 2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 16*n - 95*n + 9*n + 7*n - 384. Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3501208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64653?\nAnswer: 3, 23, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a5 - -4?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 106126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1096879*k + 810767 wrt k?\nAnswer: 1096879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115*g - 1559 - 85*g - 28*g + (0*g - 3*g + 2*g)*(1 + 2 - 4).\nAnswer: 3*g - 1559","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let g = 0.40152 + -2.60152. Which is the closest to 1? (a) l (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0765169 from -42.\nAnswer: -42.0765169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (-18 + -6 + 26 + 9 + -27).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g = -169*g + 43*g - 970 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01976 + -0.18024. What is the second biggest value in 0.21, p, 1\/587?\nAnswer: 1\/587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 639814760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let b(c) = 3. Let a(j) = 4*b(j) - 3*s(j). Let u(g) = -9*g**2. What is a(u(w))?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - m + 4 - 2*m + 4*m + 0*m + (-3 - 1 + 2)*(-2*m + m + 0*m) + (-2*m - 2*m + 5*m)*(-2 + 3 - 3) - 91*m - 126*m + 89*m to x + p*m and give p.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (6 - (10 - 17)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yoky.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*h - 163 = 0, 5*i + 5*h - 51 = 364. Calculate the remainder when i is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4606320 + 211?\nAnswer: 4606531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1337, -1320, -1301?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12221 (base 4) to base 6\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 668*u**3 + 299*u**2 - u - 2781832?\nAnswer: 4008*u + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgm when four letters picked without replacement from gyymygymqgmymmqmyyym.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-3 + -2 + 1). Let m be (r\/(-15))\/(4\/(-10)). Solve 2\/9*u + 0 - 2\/9*u**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*h - 4 = 0, -3*s - 153 + 143 = -2*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 235206117, 235206119, 235206121, 235206123?\n\"Answer: 2*u + 235206115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p\/((p\/(p\/p**(-2\/7)))\/p))\/(p**(1\/6)\/p*p**(-5))*((p*p**(-2\/5))**(-41))**(-4\/23) assuming p is positive.\nAnswer: p**(61259\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**5\/5 + 20352*z**4\/5 - 61032*z**3\/5 + 61024*z**2\/5 - 4068*z = 0.\nAnswer: 0, 1, 5085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 - 2*g + 3. Let c(r) = r**2 - r - 1. Let s(u) = 6*c(u) + i(u). Calculate s(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -302*b*k**3*p + 2*b*k**2*p - 8*b*k - 2*k**2*p + 2*k**2 wrt k.\nAnswer: -1812*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(7*t + 38*t + 28*t).\nAnswer: 73*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -3. What is the second derivative of -o*v**2 + 3*v + 7*v**2 - 9*v**3 - 11*v wrt v?\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 109312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2283 + 778 + 761 - 8*c**3 + 773.\nAnswer: -8*c**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 13 + 29. Solve 5*j = -5*l + 15, 2*l - 24 = m*l - 5*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.937547 rounded to 1 decimal place?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -968 and -970 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*o, 20 = -8*u + 13*u + 5*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*y + 2*o, -5*o + 6 = 4*y - 15. Let h be (0 + 1)*(6 + y). Let t(q) = -4*q + 93. Let i be t(22). Solve 0*a - i = h*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o**3 - 7*o**2 + 11*o - 11. Let a(f) = 4*f**3 - 2*f**2 + 3*f - 3. Let z = 54 + -32. Determine z*a(n) - 6*p(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 12. Let b be j(3). Let s be 664\/10 + (-2)\/5. Suppose 2*z + 5*y = s, 2*z + 2*y + b = 3*z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 1213, 2847, 5125, 8041?\nAnswer: 11589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1, 75, -1\/12, 6\/5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4030*k + 1852*k + 2005*k + 2288*k + 393*k + 476*k.\nAnswer: 2984*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.02 + 3. Let b = -0.03 - i. Sort 7, 0.3, b.\nAnswer: b, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = -b, -5*b = 2*t + 3*t - 10. Let i(s) = 3*s**2 + 6*s + 3. Is 3 a factor of i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/6 + 4\/(-6). Let b be -1 + (p\/(-2))\/4. Which is bigger: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15200420 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)*4 + sqrt(7) + (sqrt(7) - ((sqrt(28)\/sqrt(4))**2 + sqrt(7) + 2)) + (sqrt(448) + 1 + 3)**2.\nAnswer: 69*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81 + 6*b**3 - 27\/4*b**2 + 3\/4*b**4 - 81*b.\nAnswer: 3*(b - 3)*(b - 1)*(b + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -2 - (13 - (-4 + 13))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 take away 581?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 207. What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2254 + -2254. Let y(x) be the first derivative of -16\/3*x**3 - 8 + 4*x**2 + b*x. Find the second derivative of y(a) wrt a.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -506, -8, 50, -1 in ascending order.\nAnswer: -506, -8, -1, 1, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -26*k + 193 + 119 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*t + t + 14920, 14950 = 2*t + 2*o. Let w = 478091\/64 - t. Calculate the common denominator of w and -13\/4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 177 - 4*m**2 - 335 + 3*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.59145 to 0 decimal places.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81.02619 litres?\nAnswer: 81026.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16167 + -3)\/(72\/48).\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/19530 and -17\/432?\nAnswer: 468720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2146 - 2134. Let j = 8 - 6. Suppose j*a = 15 + 23. Calculate the remainder when a is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*m + 108, 3*m = x - 2*x - 36. Let v = -15 - -7. Let l be 428\/18 + v\/x. Solve -i = j - 9, 0*i + l = i + 4*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 29 + 125 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18086304197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3b2 (base 14) to base 8\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 4961?\nAnswer: 4961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 134024 (base 6) to base 12\nAnswer: 7314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*d = -0*c + 537, -543 = -3*c - d. Suppose 0 = -0*i - i + c. Suppose -4*f + i = -186. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, 363 in decreasing order.\nAnswer: 363, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 11*m**7\/5040 + m**6\/240 - m**5\/60 - 2*m**2. Let d(i) be the third derivative of v(i). Is 12 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j - 15. Let h(l) = 8*l + 12. Let w(c) = -4*h(c) - 3*n(c). Determine w(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 161*g - 6284. Calculate m(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and 23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -31, -15, -570, 15.\nAnswer: -570, -31, -15, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3)*-4)\/(-1*sqrt(2)*2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)\/(-33 - 590*(-105)\/175)?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 31*c**3 + 39*c**2 - 149*c + 370. Calculate b(3).\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.586 + 0.585951. Round s to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fd (base 16) to base 5.\nAnswer: -4014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2188 = -4*a - 648. What is the greatest common factor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487640247?\nAnswer: 3, 3251, 49999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 8*n**2 - 67*n + 474. Calculate o(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19708, 38445, 57182?\nAnswer: 75919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1825 equal to -4531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 94285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f + 4. Let m be j(-9). Let k = 32 - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgpggpggpgbp. Give prob of picking 4 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*p + 180 = 67*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15451\/140 - 768\/7. Suppose b = -21 - 13. Find the common denominator of (b\/(-48))\/((-2)\/3) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g + 2. Let o be (-2)\/(-14) + (-105)\/49. Let f(c) = -c - 1. Let z(l) = o*f(l) - d(l). Let m(j) = 2*j**3 - j. Calculate 2*m(i) - 2*z(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c (base 13) in base 12?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 + 42*f**3\/5 - 34*f**2\/5 - 42*f\/5 + 44\/5 = 0.\nAnswer: -1, 1, 2, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 + 2*j + 1. Let y = 4 + -7. What is the units digit of d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123243 - -0.35.\nAnswer: 123243.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336)*1)\/sqrt(6))\/(sqrt(72)*-6))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 365 = 475. Let r = -213321\/56 + 15231\/4. Calculate the common denominator of r and (-2)\/a - (-13 + (-8021)\/(-312)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-6468)\/(-448))*6\/4.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z + 4\/3*z**3 + 5 + 1\/4*z**4 + z**2. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*f**3 - 2\/7*f**2 - 2\/7*f + 2\/7.\nAnswer: 2*(f - 1)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 45\/3 - 26574\/412)*-2.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-9)*(-36)\/10. Let x = o + 60. Calculate the common denominator of -59\/10 and 40\/x*(-3)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 26 = 5*k, -5*p - 18 = -3*k - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/30 + 8\/15. Let q be (-36)\/30*(-10)\/381. Let u = 413\/1016 - q. Which is the closest to -2\/7? (a) -4 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 20367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 20 = 2*q, 4*q = d + 68. Suppose -2*g + 7*a = 2*a - 6, 4*a = 3*g - q. Calculate the highest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-20))\/((-27)\/72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -d + 248 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nesennln. Give prob of picking 1 s and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.341 to one dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = f - 221. Suppose 7 + 17 = 4*j. Let o = f - j. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.421903 grams in micrograms?\nAnswer: 3421903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15\/34, 3 in decreasing order.\nAnswer: 3, -15\/34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*c - 4*l - 17, c + 12 = -3*l. Let v = 28 + c. Let d = 49 + v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 15, 0.21, -12\/11, -4\/23 in increasing order.\nAnswer: -12\/11, -4\/23, 0.21, 1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*k*o + 797*i**3*v - 2*i**3 + 250*i**2*k*o - 198*i*k*o*v - 2*i*k - i*o wrt i?\nAnswer: 18*k*o + 4782*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 283*w**3 - 4*w**2 + 258*w. Let s(l) = -284*l**3 + 5*l**2 - 260*l. Let p(j) = -5*n(j) - 4*s(j). Find the second derivative of p(m) wrt m.\nAnswer: -1674*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.17. Let y = s - -0.01. Suppose 0*r + 3*r = -9. Which is the nearest to y? (a) 2\/5 (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 52*g**2 - 3. Let a(k) = 103*k**2 - 5. Determine -3*a(x) + 5*y(x).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -9127 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99.84 + 102.84. Which is the second biggest value? (a) 1\/2 (b) 1\/1005 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2186465716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17381 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -277*u**2 + 13452*u + 3946802?\nAnswer: -554*u + 13452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 11. What is o(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/2144 - 2678\/160 - (-1)\/(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - a - 13 = a, 0 = 4*b - a - 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -8.4.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4\/11 (c) 4 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6226, 44984, 150202, 355108, 692930, 1196896, 1900234, 2836172?\nAnswer: 4037938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**4\/4 - 7*f**3\/3 - 5*f**2\/2 + 7*f + 13. What is the lowest common multiple of m(-6) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -356420*c**3*v**4 - c**3*v**2 - 3230240*c**3 wrt v.\nAnswer: -1425680*c**3*v**3 - 2*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26230650 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 >= 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627 = -15*a + 567. Is a at least as big as -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2948 - -2942. Let q(p) = -p + 5. Let a(y) = 1 + 2*y - 3*y + 5. What is d*q(m) + 5*a(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 76 (c) 73 (d) -1 (e) -1\/3 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 7*n**2 + 5*n - 6. Let s(p) = 17 + 20*p**2 + 3*p**3 - 5 + 3*p**3 + 5 - 14*p. Give -6*s(h) - 17*v(h).\nAnswer: -2*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**4 - 4*y**2 + 275*y + 177. Let l(x) = 6*x**4 + 5*x**2 - 275*x - 178. Let n(i) = 5*j(i) + 4*l(i). What is the first derivative of n(z) wrt z?\nAnswer: -4*z**3 + 275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111100011 - -1?\nAnswer: -10110111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -92. Calculate the remainder when (-4)\/f + 4015\/33 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 203\/2132?\nAnswer: 203\/2132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64029 is divided by 305?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351952987*p + 1223318403?\nAnswer: -351952987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001116 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 4 = 12*x. Suppose n - 5*k = -13, -4*n + 16 = k - 37. Suppose -3*z + 3 = -n. Sort x, 0, z in decreasing order.\nAnswer: z, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6)\/2 - (-11 - -20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 193*i + 76*i + 2 + 120*i + 210*i.\nAnswer: 213*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2, -4, 3 in decreasing order.\nAnswer: 3, -0.6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(-t**2 + t**3 + t**2) + 5*t**3 - 3*t**3 - 4*t**3 + 2*t**3 + 0*t**3 - 4*t**3 + (3*t**2 - 3*t**3 - 3*t**2)*(-2 - 3 + 6).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5033.922kg to tonnes.\nAnswer: 5.033922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r = 80 - 632 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2923\nAnswer: 8769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3\/6 - l**2\/2 - 54*l - 2. Let n(o) = -2*o + 2. What is 5*j(a) + 2*n(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 33*x**2 - 418*x + 115. What is the remainder when y(43) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161600546 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 24. Let u be r(12). Suppose 5*c - 2 + 2 = u. Solve c = -5*s + 2*k - 1, -s + 3*k + 10 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 - 4*z - 2. Suppose -2*y = 4*o + 4 - 58, 60 = 4*o + 4*y. Suppose -5*g - 20 = -5*t, 11 = 5*t - 2*g - o. Is m(t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - ((8 - (-10 - -30)) + 41).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 4*u, -2*u + i = -5*u + 7. Let r(k) = -k**2 - k + u + 3*k + 0*k**2 - 1. Determine r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 36, 29, 4, -45, -124?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(1089) - sqrt(1089) - sqrt(1089))\/(5*(sqrt(192)*3 + sqrt(192))).\nAnswer: -143*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/735 and 47\/30?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tphllpttptltt. What is prob of sequence htt?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*a + 58, 5*k - 71 = -67*a + 65*a for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9720*r - 1 + 9754*r - 19417*r.\nAnswer: 57*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 + 5*v. Let s(o) be the first derivative of -o**3 - 3*o**2\/2 + 7. Determine -3*n(m) - 5*s(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012442 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239*m = 1218*m + 21. What is the nearest to -0.1 in 1\/4, 3, -7, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -6.2?\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 21*h**3 - 6*h + 19*h**3)*(1 - 1 - 2*h).\nAnswer: 4*h**4 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.3 (b) -0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttctc. What is prob of picking 2 c and 2 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 22*p**2 - 2*p + 1. Let j = 200 + -199. What is g(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 1. Let v be f(-3). Let j = 4 + v. Let m be 6\/27 - (-15)\/(-27). What is the closest to 0 in j, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 0. Suppose h*u + 2*u = -954. Calculate the remainder when u\/(-15) + 2\/10 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8605950?\nAnswer: 2, 3, 5, 57373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - k + 4 = -s, s - 2*k = -8. Suppose 36 = -s*u + 4*u. What is the remainder when 24 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6706\/3771 + -2\/3771. Let x be 3\/(-9) + (-55382)\/(-1428). Let q = 6\/119 + x. Calculate the common denominator of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974742840.\nAnswer: 2, 5, 7, 797, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 135*c + 145. Calculate h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 53*h - 1327. Calculate f(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -35694270.\nAnswer: 178471350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1212.871kg?\nAnswer: 1212871000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15283\/10 - 1527. Calculate the common denominator of o and -8\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 62\/267, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3149 (base 12) to base 2\nAnswer: -1010100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 + 95*h + 73. What is w(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141300 + 73331. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**26*m**25*m**(17\/2)*(m\/(m*m**32))\/m*m assuming m is positive.\nAnswer: m**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 61. Give z(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t + 4*h - 80, 0 = 5*t - h - 95. Suppose -2*z - 232 = 6*z. Let b = -23 - z. Solve l - b*l = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263380 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 7. Suppose 0 = 3*q + q - 24. Let b be z(q). Let t = 25 + -22. Solve -t*s + b = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 2, d: 5, v: 3}. What is prob of sequence vvm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9226114 + -9226105.089194. Let i = 8.91 - z. What is i rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167693484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/13575006 and 157\/1036260?\nAnswer: 135750060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*b = 34, 2*v + 5*b - 18 = 4*b. Suppose 5*a - v*d + 35899994 = -6*d, -3*d + 7179991 = -a. Round a to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/60*4\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*1)\/sqrt(8)*5)\/(sqrt(2) + sqrt(150)\/sqrt(3) - 2*sqrt(2)*6).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 115*t**2 + 114*t.\nAnswer: t*(t - 114)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 5*l)*(0 - l + 0)*(5*l + 2*l + l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-640)*(-198)\/55)\/(6*(-8)\/80).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {g: 2, s: 1, h: 2, u: 1, e: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + b - 43 = 0, o + 0*b = 3*b + 4. Let f be (10\/(-4))\/5*0. Suppose d + 22 = 5*d + h, f = -3*d + 3*h + 9. Solve q + 1 - o = -5*y, d*y - q = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 967 + 654 - 400 = 0. What is the highest common factor of 45 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 5*d + 5. Let z(h) = 5*h**2 + 7*h + 7. Let g(r) = -7*q(r) + 5*z(r). Let b(l) = -9*l. Determine g(b(o)).\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a5b9 (base 13) to base 8\nAnswer: 54667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) 16\/183 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56.946 from -0.7507982.\nAnswer: 56.1952018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 260185, 260180, 260175, 260170, 260165?\n\"Answer: -5*i + 260190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 161 (c) -0.166 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-63)\/(-18). Let o be 2\/(5 + l)*(-186)\/(-6). Let a = o + -16. What is the remainder when 43 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from -452778156920.\nAnswer: -452778156939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 + (-3 - 2 - (-9 + -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2 - 42*p + 1. Let v be l(-7). Let s be 26 - (v + 0 + -5). What is the highest common factor of s and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a factor of 38264570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - 6*a**2 + a**2)*(4*a - 3*a + 0*a) + 35*a**3 + 0*a + 4*a - 30*a**3 to i*a**3 + o*a**2 + g + z*a and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + i)*(-4 + 1 + 0 + (7 - 2 - 3)*(1 + 0 - 3) + 2 + 2 - 3 + 3 - 4 - 1 + 0 - 2 - 3 + 1 - 1 - 2 + 2 + 5 - 3)*(3 + 5*i - 5 + 1).\nAnswer: 55*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - 4*z**2)*(-3*z + 2*z + 6*z) + 26024 - 26024 - 114*z**3.\nAnswer: -119*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 762 and 309499?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*x = 372 + 6753 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from {e: 6, x: 4, j: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20831118 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 3, y: 9, x: 4}. What is prob of sequence ctc?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j - 7. Let l(v) = -11*v - 4. Let i(t) = -6*t - 2. Let x(o) = -5*i(o) + 3*l(o). What is -2*k(a) + 7*x(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 + 172724*u**2 - 3454880*u + 51825200\/3.\nAnswer: 4*(u - 10)**2*(u + 129563)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - t**3 + 0*t**3)*(-136 + 78 + 69 - t).\nAnswer: -t**4 + 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1778\/99, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13611*v**3 + 13610*v**3 + 25*v**2 - 11*v**2 - 40831*v**3 - 14*v**2 + 13609*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6168 - -6171. Factor 0 - 3\/5*m - 3\/5*m**2 + 3\/5*m**h + 3\/5*m**4.\nAnswer: 3*m*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*q**2 - 1821*q**2 + 609*q**2 + 606*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9008 - 0.0992. Let x = 7.07 - 0.07. Which is the third smallest value? (a) q (b) x (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 372, 374, 376?\n\"Answer: 2*i + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8914 - -9103. Let p(l) = -55*l**3 - 2*l**2 - 2*l - 1. Let z be p(-1). What is the highest common divisor of t and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 6*b + 6. Calculate the remainder when 14 is divided by z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 63 = -4*z. Let s(w) = w**3 + 9*w**2 - w + 16. List the prime factors of s(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h + 4. Let a be p(6). Suppose 0 = 4*d + d + 5. Let n = 3 + d. What is the greatest common divisor of n and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i**2 - 6*i**2 + 76*i**2 + 125*i**2.\nAnswer: 301*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 51*m - 55*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -372 or -371?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.0101852\nAnswer: 0.1898148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(0 - -7))\/(4\/(-6)). Let z(w) = w**2 + 2*w - 6. Let g be z(5). Solve 4*u - g = -a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3890054, -3889931, -3889794, -3889637, -3889454, -3889239, -3888986?\n\"Answer: r**3 + r**2 + 113*r - 3890169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4526, 9053, 13582, 18113, 22646?\n\"Answer: i**2 + 4524*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -3 + -4 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 957 + -974. Which is the third smallest value? (a) 2\/3 (b) 5 (c) -2 (d) z\nAnswer: a","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 jqjqxqxxxjjjxxj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-28)\/(-12) - ((-858)\/13)\/(-22).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Calculate the highest common divisor of v and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 2200 + 2120. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1106 + -7.7\nAnswer: -1113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.054 - 0.054. Let r = -90 + j. Let d = 68.0000011 + r. What is d rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let r(u) = -4*u - 6. Let n(f) = 6*g(f) + r(f). Let c(v) = -3*v**2. Calculate n(c(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2187)*-2 + (sqrt(135) + 3*sqrt(135))\/sqrt(5) + (-2*sqrt(1728) + 4 + -5)**2 + -3.\nAnswer: 54*sqrt(3) + 6910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29360*r**2 + 40*r - 141214345.\nAnswer: 58720*r + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 86 in decreasing order.\nAnswer: 86, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 145*i**2 + 755*i + 150 = 0.\nAnswer: -5, -6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 4, -0.3, -7\/2, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 21158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(600))\/sqrt(12))\/(sqrt(10) - sqrt(250)*-2) + (-4*sqrt(605) - ((sqrt(5) - 5*sqrt(5))*-5)**2) + 4.\nAnswer: -1996 - 482*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2013200221?\nAnswer: -2013200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s**2 - 9*s + 10. Let u be j(-7). Suppose -3*a = u + 288. What is a rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -926, 3, -5 in increasing order.\nAnswer: -926, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + n - 2*n)*(-1 - 1 + 1)*(-45*n - 181*n - 42*n) as j*n + d + q*n**2 and give q.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(2*g + 1 - 1) + 4*g + 2*g - 2*g + 263 + 28*g - 263 + (0*g + 0*g + 2*g)*(4 - 5 + 2) - g - g + 0*g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3317445*f**3 - 1659476*f.\nAnswer: 19904670*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**3\/3 - 6*b + 2955. Let f(a) = -2*a**2 + 7. Give -4*f(y) - 5*l(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*(15\/(-25))\/((-3)\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v + 3. Let c be h(0). Let u be ((-16)\/168)\/(c\/(-18)). Factor -8\/7 + u*b**2 - 4\/7*b.\nAnswer: 4*(b - 2)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 4. Suppose k = -z + 29. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3175 - -3180. Suppose 3\/7*x - 3\/7*x**z + 0 - 6\/7*x**4 + 6\/7*x**2 + 0*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 21*k - 23. Let d be y(-14). Suppose -10*v - 95 + d = 0. What is the nearest to -0.05 in -1\/8, v, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -16. Put -2, -5, h in decreasing order.\nAnswer: -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-3)\/4 + 0). Suppose 0*p = 5*b - 3*p - 107, 41 = 2*b - r*p. Let v be (-2)\/(-3) - b\/42. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkvvkvvvkvk. What is prob of picking 2 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -131 (b) -0.2 (c) -2 (d) 0.1 (e) -1.1 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 29430*y + 10. Let j be f(1). Round j to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 5\/6 (c) -0.3 (d) -2 (e) -4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -10650 in descending order.\nAnswer: 3, -6, -10650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1013 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -3 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18156801 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 - (-27)\/(-25)) + -7 + 714216\/200 and 297.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/110088 and 89\/3798?\nAnswer: 23228568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1624 and 7354864?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139 and -0.84?\nAnswer: 116.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349.6 + -382. Let u = l - -32. Let j be (-6)\/(-14)*(-1)\/3. What is the nearest to 1\/4 in 3\/4, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = -h, 0 = g + 2*g. Let i be (-30)\/(-6) + -3 - 8. Let m be (i\/10)\/(-3) + 72\/(-360). Solve 0*j + h*j = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2178) + 0 + 1 + (sqrt(2178) - (sqrt(2178) + sqrt(2178) + -5*sqrt(2178) + sqrt(2178) - sqrt(2178))) + -1)*-3.\nAnswer: -1485*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -59, 19, 127, 265, 433?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 + 10*s - 6. Let r be j(6). Suppose -2*g + 19 = i - 29, -4*g - 5*i = -r. Let x = -10 + g. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 15*p - 28. Suppose 156 = 11*t + t. Let k be c(t). Is -1*3*18\/k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 divided by -2851?\nAnswer: 510\/2851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**3 - v**3 - 5*v**3)*(-9*v - 6 + v + 7*v) to m*v**4 + c + p*v**3 + b*v**2 + y*v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009733031 to five dps.\nAnswer: 0.00973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 3*t - 2*t, -3*v = 4*t + 3. Let n(g) be the second derivative of g**4\/6 + g. Calculate n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 446, 445, 444?\n\"Answer: -y + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6060 and 425412?\nAnswer: 2127060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z + 3*k + 4, 0 = -5*k. Suppose -3*d = -5*s - 50, z*d + s = -27 + 82. What is the remainder when 94 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 81 = -2*r, -5*r + r = -5*j + 183. Let i = -8 - r. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*(60\/25)\/((-48)\/60)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 + 0 + 30*y**2 + 12*y + 3 - 11*y**3 + 13*y**3. Let l be i(-15). Is -173 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13987, 10347, 4289, -4181, -15057, -28333?\n\"Answer: v**3 - 1215*v**2 - 2*v + 15203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5353\/9 - 601. Find the common denominator of z and -21\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010529.\nAnswer: 1303, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837146.4km to meters.\nAnswer: 837146400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6\/5 (b) 4 (c) -130420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/622 (b) -1\/5 (c) -1\/127 (d) 23 (e) -4 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 131430?\nAnswer: -131433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 2. Let z = -10 + d. Let c = -183\/35 - -24\/5. What is the closest to z in -7, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 9*n**2 + 9*n + 1. Let o be v(-10). Let a(y) = y**3 - 11*y**2 + 3*y - 24. Let x be a(o). What is the third biggest value in -4, x, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48b (base 13) to base 4\nAnswer: 30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1*-6)\/(sqrt(192)\/sqrt(6)))\/(-2*-5*-3*sqrt(3)*-4).\nAnswer: -sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.4 minus 7596.796445?\nAnswer: -7580.396445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15018 or -15017?\nAnswer: -15018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3233 + 10?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2, 0.4, 5, -2.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7320, -7337, -7364, -7401, -7448, -7505?\n\"Answer: -5*m**2 - 2*m - 7313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1336807 or -1336808?\nAnswer: -1336807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5004 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 190. Let t = s + 177. Let p(k) = k**2 + 3*k - 4. Let z be p(-5). Which is the biggest value? (a) z (b) t (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((16\/12)\/(10\/(-15))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24351 greater than or equal to 97407\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:39 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-t - 2 + 2)*(-1 + 4 - 1) + t + 0*t + 0*t)*(-23*t**2 + 6*t**2 + 9*t**2) as j*t**3 + b*t**2 + a*t + m and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001100001 (base 2) in base 8?\nAnswer: 16141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114071, -456259, -1026565, -1824989, -2851531?\n\"Answer: -114059*c**2 - 11*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, -1, 1686, 1.06, 4.\nAnswer: -3, -1, 2\/5, 1.06, 4, 1686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(288)*1)**2 + -3.\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.271754ml to litres.\nAnswer: 0.009271754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -14) + (144\/60)\/((-17952)\/(-900) + -20).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13680.5 and 5.\nAnswer: -68402.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 2*v + 3*g, -2*v + 37 = 5*g - 96. Calculate the remainder when -108 + 86 + (-924)\/(-6) is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -bd0a1b?\nAnswer: bd0a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 16, 48, 118, 238, 420?\n\"Answer: 2*g**3 + g**2 - 11*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 303651133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l - 71*l = 30. Suppose -6 - 8 = 2*j - 4*s, -3*s = -l*j. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0\/8)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140 + -141)*(-28)\/(-2 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -49, -89, -141, -211, -305, -429, -589?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*i - 153*i - 56 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 29*i - 82. What is v(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 6728154330177.\nAnswer: 6728154330177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 318154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -28*i - 8 + 10 - 3. Let a be x(1). Let q = a + 38. Solve 3*k - 6 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437275.1 centimeters in meters?\nAnswer: 4372.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -19. Let r = 30 + -44. Let o = i + r. Calculate the remainder when 13 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 7\/24*d**4 - 1\/30*d**5 + 0*d - 1\/2*d**2 - 2\/3*d**3 - 2. Let j(f) be the second derivative of x(f). What is j(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -961, -1443?\nAnswer: -1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1\/2*a**2 + 1\/2*a**3 + 4*a + 0. Differentiate v(r) with respect to r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 1\/2*x**2 + 22 + 0*x. Let k(w) = 32*w**2. Determine k(g(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*a - 64, 36*a = 34*a - 3*z - 60. Which is smaller: a or 22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 960*r**2 - 2 + 960*r**2 + 12*r**4 to j*r**4 + c + w*r + s*r**2 + l*r**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 176, 480, 928, 1520, 2256?\n\"Answer: 72*u**2 - 56*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 3) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2 - 7. Let w(s) = -5*s**2 - 4. Let n(j) = -4*b(j) + 7*w(j). Let m = 2 - 0. Let h(g) = 2*g**2 - 3*g**2 - m*g**2. Give h(n(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 1. Suppose -7*r = 11*r - 54. Let d(n) = n**3 - 6*n**2 + 7*n + 4. Let u be d(r). Let h(v) = -v. What is u*f(q) - 5*h(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.687? (a) -6 (b) -4 (c) -2\/13 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(17) + sqrt(51)\/sqrt(3))**2 + -1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o - 159033*o**3 + 79598*o**3 + 1994 + 80362*o**3 wrt o.\nAnswer: 5562*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 11 = 4*v, -10*j + 9*j - 28 = -5*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*m - 18, 0 = -3*v + 3*m - 6 - 6. Let s be (v*1)\/((-2)\/(-2)). Which is the third biggest value? (a) -0.5 (b) -6 (c) 1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5135*d - 5131*d + 25*d**5 - 68*d**3 - 27*d**5)*(0 + 2 - 7).\nAnswer: 10*d**5 + 340*d**3 - 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 2, d: 1, c: 1}. What is prob of sequence drir?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmef when four letters picked without replacement from ftqmfqhhhemfmeheehh?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:06 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -2 (b) -3 (c) 1 (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.484 * 0.4.\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115483 or -115476?\nAnswer: -115476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 less than -2136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012222220 - 10120021?\nAnswer: -1100120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26873 - 44?\nAnswer: -268b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) 33\/2 (c) -2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j - 2*j**2 + 0*j**3 - 1\/120*j**5 + 0 - 1\/24*j**4. Factor v(q).\nAnswer: -q*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420) + -2 - sqrt(2420)) + 3*1*sqrt(5)*-4)**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15840.7 - 15785.8666. Let u = 0.0334 - p. Let y = u + 60. Round y to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b + 4*b**2 + 1 - 12*b + 22*b in the form v*b**2 + i + p*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + 0.11. Let v = 0.03 - m. What is the closest to v in 1, 2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348009079 to the power of 1\/2, to the nearest integer?\nAnswer: 36715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (3 + 23 - (150 - 109))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 - 3\/40*w**6 - 7\/20*w**5 + 0*w - 5\/8*w**4 - 1\/2*w**3 - 3*w**2. Suppose y(f) = 0. Calculate f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 314050296?\nAnswer: 2826452664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -29835556?\nAnswer: -1790133.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(21)\/sqrt(3) - (sqrt(7) - 1*sqrt(847))**2.\nAnswer: -700 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.1, 3, 18, 4 in decreasing order.\nAnswer: 18, 4, 3, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 9*m + 143*m**2 + 133*m**2 - 301*m**2.\nAnswer: -25*m**2 - 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*i - 633 = -6679, 12118 = 4*k - 3*i. What are the prime factors of k?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.000425cm?\nAnswer: 0.00002000425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6613460 and 29100.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22028*u + 44103. Calculate a(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 15 = j, 14 - 9 = 5*j - 4*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -914389, -914390, -914391, -914392?\nAnswer: -914393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2. Let y(d) = 20*d + 13. Let o(x) = -3*k(x) - y(x). What is the derivative of o(b) wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0 - 4\/3*x**3 - 22*x**2 - 1\/24*x**4 + 0*x. Let c(i) = i. What is a(c(h))?\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 4. Suppose -9*m + 4*m - 5 = 0. Let o(n) = -1. Give m*p(t) + 4*o(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23212, -23218, -23212, -23188, -23140, -23062?\n\"Answer: b**3 - 13*b - 23200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1728 - 32281?\nAnswer: -34009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(-1 + sqrt(405)) + (3 + (sqrt(405) - (sqrt(405) + -2*sqrt(405))) - sqrt(405) - sqrt(405)) + -2*1*sqrt(405))**2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Let d(t) = -t**2 + 9*t + 1. Let s be d(6). Let o = s - 17. Let r(i) = -2*i**o + 5*i - 5*i + 0*i**2. Calculate m(r(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let m(k) = -16500001*k**3 + k. Let r be m(f). Round r to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(77)\/(sqrt(121)\/(sqrt(11)*-3) - sqrt(11) - sqrt(11)).\nAnswer: -4 - 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 w, and 1 d when four letters picked without replacement from xdmffflxffflfxwlmm.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from hastst.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3 + -2*sqrt(275)*1)**2 - (-5 + (-3 + 3 + (sqrt(33)\/sqrt(3) - sqrt(11)))**2)).\nAnswer: -60*sqrt(11) + 1111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -119809.7 - 0.09\nAnswer: -119809.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 29. Suppose -3*n + 4*v = -241, a*v + 395 = 6*n - n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 1055334696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005523763 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 4 - 2*l**2 - 11 - 3*l as z*l + v + h*l**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -107067\/3487 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 34*i**2 - 3*i + 60. Determine h(34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2288277*p**3 + 2*p - 3731460 wrt p?\nAnswer: -6864831*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*q - 5, -4*q + 4 = 4*j - 8*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 4*i - 2. Let r(g) = g + 4. Let y be r(-6). Let t be f(y). List the prime factors of t*(-1)\/((-2)\/(-19)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - u**3 + 22*u**3 + 12*u**2.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*f**2 + 4\/5 - 6\/5*f.\nAnswer: 2*(f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 4*g + 13. Suppose 0 = -b + 8 - 2. Let r be t(b). Put r, -1\/8, -0.04 in increasing order.\nAnswer: -1\/8, -0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/9902 and -26.\nAnswer: 9902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6 - 0. Let o(n) = -2 + 2 + j*n. Let b(s) = -5*s**2 - 6*s. Let p(u) = 11*u**2 + 13*u. Let q(c) = -13*b(c) - 6*p(c). Calculate o(q(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*t**2 - 4*t**2 - 176 - 78 + 82 to the form a + j*t + z*t**2 and give a.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.3, -5, -3.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 70\/150*(0 - 16\/(-56))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 6. Suppose 9*x = 68 - 14. Let o be l(x). Solve 3*b - 5*c = -3*c - o, -b - c = 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, c: 8, a: 1}. Give prob of picking 1 a, 2 c, and 1 h.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*f**2 - 39*f**2 + 46*f**2)*(1 + 2 - 2) + 11*f**2 + 6*f**2 - f - 15*f**2 to the form n*f**2 + s*f + z and give n.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039312 to four decimal places.\nAnswer: -0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 340 + 5\/((-30)\/18). Suppose 4*y + 5*f = 442, 6*f - h = -3*y + 5*f. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021.\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -779 + 799. Solve 3*p + 6 = 0, 4*t - 6 = p - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17813*k + 106868. Calculate q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. What is the second biggest value in 0, r, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13323 - 321?\nAnswer: -20310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007865673 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 57*y\/2 + 85\/3.\nAnswer: (y - 170)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14394a3 (base 11) to base 12\nAnswer: -9b2860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17441551718 + -17441552879.9999459. Let s = r - -1162. Round s to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/14)\/((-84)\/147)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948639 is divided by 1338.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 3 + 1)*(4 - 2 + 5) + 9 - 6 + 4)*(-2*k + 2*k - k**3) to d*k + t*k**2 + s*k**3 + q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.7 - -0.7. Let p = -67.1 - n. Which is the nearest to p? (a) -0.35 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 103*k - 3. What is a(103)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-656)\/3772)\/(6*(-3)\/(-9)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**3 - 4*k - 5. Let f(u) = -u**3 + 7*u**2 - 5*u - 1. Let v be f(6). Let s be r(v). Round s to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3173 + -5.\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 389272 divided by 76?\nAnswer: 5122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t**5 + 4*t**5 + (-3 + 6 - 1)*(-74*t**5 - 84*t**5 + 10*t**2 + 171*t**5).\nAnswer: 28*t**5 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 1)*(570\/(-18))\/(-1). Suppose b*t - 90*t = 0. Is 2480*(t + 1) + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.096505 to two dps.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4464)\/(-20460)*10\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79bb5 - 5?\nAnswer: 79bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2\/(-2))\/((-240)\/(-24)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 23. Suppose -2*g = -t + 2, l*g = -2*t + g + 13. Suppose 4*x + 0 = -t, 4*x = 5*a - 4. Solve a = -4*v - 0*w + 3*w + 19, -w - 7 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.2 * 3383.41\nAnswer: 31127.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {l: 4, g: 1, u: 2, m: 2, v: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 168982?\nAnswer: 1182874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0612442 - -0.3\nAnswer: 0.3612442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*s - 1748 = 1567, 3*s = 4*v - 2624. What are the prime factors of v?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 66*i + 3. Give o(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 126\/18)*(-5)\/((-5)\/(-3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 8*v - 5. Let u(t) = -t**3 + 6*t**2 + 7*t - 8. Let z be u(7). Let k be c(z). Let m = -1 - -1. Put k, -3, m in descending order.\nAnswer: m, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 5 + 5*j**3 - 2*j**3 + j**3 in the form h*j**3 + o*j + t + d*j**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1319 + -0.2681. Sort 1\/2, 1\/4, 45, h in ascending order.\nAnswer: h, 1\/4, 1\/2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1295\/210 + 1\/(-6). Let g(x) = -x**3 + 6*x**2 + 4*x - 16. Suppose 2*o = 5*i - 4*i - 7, o + 5 = 2*i. What is the lowest common multiple of g(l) and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - x + 722 = x, x - 904 = -5*c. What are the prime factors of c?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2022 or 2021?\nAnswer: 2021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*a + 124 + 296 = -441*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1550 - 16*c + 66*c + 0*c - 26*c - 23*c in the form h + t*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1425 - -1587.1. Let j = -162 + g. Which is the closest to j? (a) 1\/2 (b) 0.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419.263734 - 423.0637. Let l = 3.8 + g. What is l rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 85 = -17. Calculate the common denominator of (0 + (-3)\/(-42))*-3 and (v\/72)\/((-1)\/(-3)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - w = 141, -2*v + 2*w + 105 = 7. Suppose -v*f = -204 - 1452. Calculate the lowest common multiple of 40 and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/(-323) + (-37660)\/(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268901 is divided by 89627?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let u be k(-4). What is the derivative of -5*q**4 - 6*q**u + q**4 - 2 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*f - 6*o - 11, 4*o = -f + 1344 - 1342 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 64. Suppose 5 = m - g. What is the first derivative of 1 + m + 224*o**3 - 241*o**3 wrt o?\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41043 is divided by 215.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 13*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 47 + 101 = 0. Suppose 2*p - 4912 = -a*p. What are the prime factors of p?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 840*x - 116380. Calculate h(175).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 567*l**4 + 67*l**2 - 106280 wrt l.\nAnswer: 2268*l**3 + 134*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94519499 is divided by 1220.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*2)\/sqrt(6))\/(6*sqrt(20))*3 - (((sqrt(160)*-2)\/sqrt(4))\/(sqrt(288)*-2))**2.\nAnswer: -5\/36 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 4.2. Let u = 0.014 + -3.014. Which is the third smallest value? (a) z (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 422 and 421 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/2 + 2\/4 + -2. Let k(f) = f**2 - 2*f. Let j be k(o). Suppose j = q - 2. What is the greatest common divisor of q and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.01, 4, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 12*y + 19. Let j(b) = -b**2 + 6*b - 9. Let o(h) = -5*j(h) - 2*v(h). Does 2 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151\/10 - -68\/5. What is the second smallest value in -0.032, 4, u?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 24 + 51. What is f in 6*f**2 + 15\/2*f**5 - 3*f**4 + 15\/2*f - 3 - z*f**3 = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:17 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 462*d - 307*d - 2015 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 477233047 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.949328 rounded to 1 dp?\nAnswer: 78.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*r - 10 - 0, 24 = 4*r - 4*z. Suppose 0 = r*t - t + 3*u + 26, -3*t - 88 = -u. Let o = t - -48. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/11 in -2\/7, -0.5, -0.1, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -138*v**2 - 53*v. Let m(x) = -137*x**2 - 54*x. Let q(z) = 5*m(z) - 4*w(z). Find the second derivative of q(d) wrt d.\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39297 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -5) + 6 - -30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3559*b**5 + 31*b**4 - 2*b**3 - 4614186*b**2 wrt b.\nAnswer: 213540*b**2 + 744*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2123 + 2234. Which is the second smallest value? (a) 2\/5 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 5*d**3\/2 - 7*d**2\/2 - 20*d. What is the derivative of a(l) wrt l?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, p: 1, a: 4, r: 2, i: 2}. Give prob of sequence pe.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309941 is divided by 1462.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 9360\nAnswer: 1\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2611.0158 months?\nAnswer: 217.58465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 12*q**2 + 40*q + 30. Let g be j(-4). Let d = -11 - -6. What is the nearest to -1 in d, -0.13, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v - 2*v + v)*(-4*v**3 - v + v) - 2*v**2 + 6*v**4 + 2*v**2 - v**4 - 2*v**4 + 0*v**4)*(-4*v + 0*v - v).\nAnswer: -55*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -2) + -1 + 10. Let m = 4 - 10. Let h = b + m. Is -2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346189.\nAnswer: 67, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -2\/11 (b) -2 (c) -0.7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 3 - (-24 - 0 - -22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (4 - 3 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2129639, -4259293, -6388947, -8518601, -10648255?\n\"Answer: -2129654*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66 + 275 + 420 - 114*s - 478*s - 727*s wrt s.\nAnswer: -1319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)\/v**26*(v\/(v**(-9\/8)\/v))\/v**(2\/9) assuming v is positive.\nAnswer: v**(-8099\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364180809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3*f*f\/(f\/f**(-3\/5)))**28 assuming f is positive.\nAnswer: f**(616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0 - 9*l**2 - 5\/6*l**3 + 0*l + 1\/6*l**4 + 1\/30*l**5. Is 6 a factor of f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78325, 156646, 234967, 313288, 391609?\n\"Answer: 78321*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*s**3 - 8733032881*s**2 + 8733032881*s**2.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b + 3*b**2 - 2*b**2 - 5*b**2 + 61*b**2 + (-3*b + 6*b - b)*(-2*b + b + 3*b) + 4*b**2 - 2*b**2 + 0*b**2.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -1220, -1826, -2432, -3038, -3644?\nAnswer: -4250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*(-27)\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 8. Let k = f - -6. Suppose -2*v = k*d - 48, 0 = 5*v + 3*d - 141 + 31. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/75*-5 + 52\/6. Let g(l) = 2*l**2 - 8*l + 2. Does 11 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3244794.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72110, -72088, -72066, -72044, -72022, -72000?\nAnswer: -71978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40557328 to the power of 1\/2, to the nearest integer?\nAnswer: 6368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) - (sqrt(68) + 1*sqrt(68) + sqrt(68)))) + sqrt(68) - sqrt(68))*4*-3)\/((1*sqrt(40)*-2)\/sqrt(10)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -76*w + 50*w + 37*w. Suppose 0*b - w*b**3 - 5*b**2 + 0 - 5\/4*b**4 = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2647 + 2641 + (-1 + 1 - -23)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 10110.97ug?\nAnswer: 10.11097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 167209320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.025, 1\/3, 2\/32245?\nAnswer: 2\/32245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1439147*i**3 - 419139*i**3 + 1269153*i**3.\nAnswer: 2289161*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317892366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agx when three letters picked without replacement from xxgwakxxgxgkxkwxxx?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 48, 65, 82?\n\"Answer: 17*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j. Let p(c) = -c**2 - 3*c. Determine -3*p(g) - 4*r(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 2*d + 32 = 0, 7*c = 2*c + 3*d - 8*d + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 21. Let m = o - -12. Suppose -m*h + 0*h + 15 = 0. Solve s + 1 - h = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-1\/11)*n*n)**50\/((n*n\/(n*n**(-19)))\/n*n\/n**13) assuming n is positive.\nAnswer: n**(2723\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((sqrt(6480) + -1)*-6 - sqrt(6480)))**2.\nAnswer: -16128*sqrt(5) + 1270336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, z: 7}. What is prob of picking 1 z and 2 y?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.169 + -214.069. Let y = k + 122.6. Let v = y - -90. Round v to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 8 - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 9 (b) 17 (c) -3 (d) -1\/4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 19*i - 3. Let t be m(-10). Let b be (-3)\/(-3) - -165 - -2. Suppose 0 = -c + 5*c - b. Calculate the highest common factor of c and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.66 and -80.\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -5. Let d = v + 45.99856. Round d to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8945129, 8945127, 8945125?\n\"Answer: -2*w + 8945131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 0.1406\nAnswer: 0.3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 32701028?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 - 6*q. Let v be n(-7). Let r = -2 - v. Suppose r*t - 25 = 2*t + 4*p, 0 = -4*t - 5*p + 85. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 15*i**2 - 29. Let l(y) = y**2 + 10*y + 27. Let w be l(-6). Let z(a) = 16*a**2 - 28. Let k(h) = w*z(h) - 2*f(h). What is the derivative of k(d) wrt d?\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1\/749 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08593 - 6.91407. Which is the third biggest value? (a) o (b) -18 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = 2. Suppose 5*l - 12730 = 2*s + 8735, -5*s - 17189 = -h*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 1. Let q(z) = 4*z**2 - 3. Calculate -12*d(j) + 4*q(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 - -2)) + (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9536 or -55\/6?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38493 is divided by 401?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 15, -0.0527, -8?\nAnswer: -0.0527","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.9 - -8.9. Let u = 21 + -21. Which is the closest to u? (a) 0.12 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -273.4, -10, -1\/2, 2 in increasing order.\nAnswer: -273.4, -10, -1\/2, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 3*s - 136. Determine c, given that 2*c**s + c**4 - 17*c**4 - 203 - 25*c**3 + 83 - 16*c**4 + 150*c**2 + 20*c + 5*c**5 = 0.\nAnswer: -2, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117756.63 rounded to the nearest 10000?\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 424495, 424383, 424273, 424165, 424059?\n\"Answer: p**2 - 115*p + 424609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 891957584 to the power of 1\/3, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = -5*f. Let g(h) = h**2 + 4*h + 3. What is the remainder when (7\/4)\/(5\/20) + 4 is divided by g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12 + 75\/4. Suppose 1494 = -n + c*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 10. Let k(u) = 5*u - 15. Let c(o) = -5*k(o) + 8*n(o). Suppose 9*t - 24 = 3*t. Give c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o. Let t(d) = d**2 + 3*d + 4. Let u be ((-4)\/5)\/((-9)\/(-45)). Let b be t(u). Let a(h) = b*h - h - 1 - 6*h. Determine -2*a(n) + l(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(325)*-3.\nAnswer: -90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2375903.\nAnswer: 475180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-28))\/((-18)\/(-3))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -797*x + 2 + 54*x**3 - 42*x**3 - 10*x**3 in the form l*x + y*x**3 + s*x**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409915.\nAnswer: 3, 5, 347, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 20\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 21927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 29*g**2 + 44*g - 9. Let f be h(-2). What is the third biggest value in -2, f, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/4))\/v**(-1\/4))\/(v**(-2\/3))**41*((v\/((v\/(v*(v\/v**(1\/5))\/v*v*v*v))\/v))\/v)\/v**0*(v\/((v**(2\/7)*v)\/v))**(-3\/20) assuming v is positive.\nAnswer: v**(13661\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250249*m + 766615*m + 264819*m.\nAnswer: 781185*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, -3, 5, -1355, -24 in decreasing order.\nAnswer: 5, 4, 2, -3, -4, -24, -1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*g - 25 = 3*m, -m = -g - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 * 51516615\nAnswer: -23182476.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + 5*k = 4, -2*k = 3*i - 6. Let z = -0.6 - -0.1. What is the third biggest value in i, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16404?\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 2 + 4)\/(14\/(-21)). Put -7, -5, r, -1 in decreasing order.\nAnswer: -1, r, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/40 - (-2 - (-52)\/64*2). Solve y + 3 = -3*k, -k - 10 = -w*y - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1993422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n**3 - 2*n**2 - n - 10. Let v(s) = 19*s**3 - 3*s**2 + s - 9. Let d(w) = -3*v(w) + 2*z(w). Calculate d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 9*b = -8. Suppose 3*c + b = -4*t, 9 = 2*c + t + 2. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -7, -25, -49, -79?\n\"Answer: -3*z**2 - 3*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189848 + 379698 - 189843 - 12*x.\nAnswer: -12*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22144818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/21*((-34)\/680*5)\/(4\/280)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**3\/3 - t**2 + 4*t + 71. What is u(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1536 bigger than -1509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 42*l + 45*l - 52.\nAnswer: 3*l - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, -2\/9, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -185 + 261*i**2 + 233*i**2 - 531*i**2 as y*i**2 + a + w*i and give a.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6258 by 1367.\nAnswer: 6258\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 882.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/17 + 13882*d\/17 - 15867228\/17.\nAnswer: -2*(d - 5498)*(d - 1443)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y = -3*m + 29*y + 20, -2*m + 9*y + 1 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -41 in ascending order.\nAnswer: -41, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4284 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**3 - c**3 + 1349 - 1353 + c**4 in the form v*c + a*c**4 + u*c**3 + j*c**2 + d and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -42. Suppose -3*f + p*f = g - 11, 5*g - 63 = -f. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 8. Let z be h(6). Let i be (-2 - -2 - -60) + z. Let l = i - 41. What is the remainder when l is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414449*m**3 - m**2 + m**2 - 414452*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-27)*7\/((-70)\/(-15))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21*11\/(-99)*3. Let q(g) = g**3 + 7*g**2 - 6. What is q(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o - 4. Let b be (-8)\/(-36) + 266\/18. Suppose 6*x + b = 3*x. What is h(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 559878*r\/13 + 559904.\nAnswer: -2*(r - 279952)*(r + 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -21*r**3 + r**2 - 5*r. Let a(w) = -14872*w**3 - 3*w**2 + 7476*w**3 + 14*w + 7458*w**3. Determine -3*a(z) - 8*g(z).\nAnswer: -18*z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 3}. What is prob of sequence cdcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -561, -1122, -1683?\n\"Answer: -561*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -431775*b*o**2 - b - 1140897*o**2 wrt b?\nAnswer: -431775*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6216387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45.490015498 and 0.\nAnswer: -45.490015498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3390 and 20850.\nAnswer: 2356050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504300896 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1556233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 55*f**4 - 340*f**3 + 285*f**2 + 65. Let m(s) = 5*s**4 - 31*s**3 + 26*s**2 + 6. Let n(l) = 65*m(l) - 6*t(l). Find b, given that n(b) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiuiuii?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 1332, 1998, 2664, 3330, 3996?\nAnswer: 4662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 s when four letters picked without replacement from {s: 4, d: 1, f: 3, e: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/11 - 24*h**3\/11 - 56*h**2\/11.\nAnswer: 2*h**2*(h - 14)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*2*6 - sqrt(50)) + sqrt(450) + sqrt(450)*-2)\/(-2*sqrt(810) - sqrt(100)\/sqrt(40)).\nAnswer: -16*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*u + 4*r + r, 3*u - 4*r - 45 = 0. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*w = -119*w + 276*w - 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 76970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.02, -1\/2399, 0.4, 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4463 - 4463. Let n(l) be the second derivative of 8*l + j + 0*l**2 + 1\/78*l**4 + 1\/13*l**3. Suppose n(z) = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368 (base 15) to base 3\nAnswer: -1001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*i + 679*i = 267*i + 984 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cqiauacuuukiii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226443141 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 2*b. Let y be 22\/4 - (-2)\/(-4). Calculate the greatest common factor of b and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from fnnffffffnnnnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3474*q - 368226. Determine l(106).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281658039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 y when three letters picked without replacement from {o: 1, p: 1, s: 1, y: 2, c: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -226 * 54\nAnswer: -12204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*z + 2. Let r be 3\/1 - 9\/15. Let q = -2 + r. Which is the second smallest value? (a) q (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59 and 1397.28.\nAnswer: 1456.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 5)*(-6)\/(-5). Let o(q) = q**3 - 5*q**2 - 3*q + 2. Let g be o(m). Solve -4*r = r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2175*d**2 - 21. Let m(z) = 168562*z**2 - 1626. Calculate -542*g(b) + 7*m(b).\nAnswer: 1084*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Suppose 36 = 4*h - 0*h. Suppose 4*k - 3*n + 4*n - 16 = 0, 0 = k + 5*n - 23. Let o(p) = -h + 9 + k*p. Give i(o(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 2255 = 2*i. Let p = 319 + i. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 229*n**2 + 127*n + 29061. Give r(-229).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -156*g - 2. What is l(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acaca. What is prob of picking 2 a and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122776507.\nAnswer: 7, 23, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 8*a**2 - 9*a + 20. Calculate g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28272.47ml in litres?\nAnswer: 28.27247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 37, 79, 143, 235, 361?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*((c*c**4)\/c)\/c*c))*c**1*(c\/c**(8\/3))\/c*c\/((c*c*c**3\/c*c)\/c) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2360 and 79768?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.013799 + -0.17.\nAnswer: 56.843799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 41*b + 158. Determine a(-8).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1466780678 rounded to four dps?\nAnswer: -0.1467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 198744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 - 273. Suppose -3*o + 3*v = -d*v + 15, 0 = -4*o - v - 15. Let x(c) = -c**3 - 3*c**2 + 4*c + 4. Give x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) - (0 + sqrt(98))*-5))*-3)**2 + 3 + ((-1 + sqrt(98) + 0 - (((sqrt(98) + sqrt(98) + 0)*-4 - sqrt(98)) + sqrt(98)))*2)**2.\nAnswer: -504*sqrt(2) + 53809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73257 is divided by 23918.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 33 = -2*w, 3*w = -7*f + 4*f - 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152545277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) + 132\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-4)\/h))**(-1\/14))**(-33) assuming h is positive.\nAnswer: h**(165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((9\/3)\/((-44)\/(-44)))\/1. Sort -7, 1, -2, x, -28.\nAnswer: -28, -7, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 91\/3 (b) 3 (c) 4 (d) 5 (e) -536 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 571 + -483. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:59 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1607.2 + -1607. What is the closest to -2\/7 in -1\/4, 1\/11, v, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 4. Let n = 17 - 12. Suppose -70 = -n*r - 5*c, -c = -r - 4*r + 46. Let m be 26\/(-6) + r\/30. Let t(i) = 11*i + 9. What is m*t(b) - 9*d(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594717 is divided by 2457?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -107. Let t = -3 + 3.2. What is the closest to l in 1\/4, -2, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 230\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1117246 - -16752538\/15. Let r = -410 - q. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 4548*x\/7 - 4544\/7.\nAnswer: -4*(x + 1)*(x + 1136)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + (1 - (0 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:20 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 60 = -3*q - 2*a, -5*q = a - 93. Suppose 3*i = q - 3. Let r be (-2 - 0)*(-19 - -18). Solve -2*g + 2*n = -r*n + 16, -i*g = -5*n + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2)*m\/m**4)\/(m\/m**(1\/2)*m**4*m))\/(m**(-5)\/(m\/(m**(1\/3)*m)*m))**(-1\/2) assuming m is positive.\nAnswer: m**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**5 + 0 + 17\/24*o**4 - 9\/70*o**7 + 22*o**2 + 0*o + 0*o**6 + 0*o**3. What is the second derivative of m(v) wrt v?\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84*((-133)\/(-7) + -9 - 8). Calculate the highest common factor of t and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -a + 44, -5*a + 2 + 205 = -3*g. Suppose 2*r = 5*w + 67, 22 = 2*r - 4*w - a. Suppose -4*y + r = -14. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908495181 a multiple of 1338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -16*t - 19. What are the prime factors of q(-8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249895 to seven dps.\nAnswer: 0.0002499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.1 (c) -4\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 41 - 21 - 22 + 3*h. Suppose 4*c = -9 + 1. What is k(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11794496.7 hours?\nAnswer: 70205.3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.72769 millilitres in litres?\nAnswer: 0.08072769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y + 8. Let p = -2 + 5. Suppose 2*x + p*x = 40. Let z be k(x). Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 1. Let l(o) = 4*o**3 + 57. Determine -l(h) + 3*u(h).\nAnswer: -h**3 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2240 and 633472.\nAnswer: 3167360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2. Let j(z) be the third derivative of 0*z**4 + 4*z**2 + 0*z + 0*z**3 + 1\/12*z**5 + 0. Give j(k(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8480678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2723*r**3 + 8*r**2 - 5*r + 16. Let z(g) = -908*g**3 + 3*g**2 - 2*g + 6. Determine -3*t(j) + 8*z(j).\nAnswer: 905*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 6*y - 8. Let c be i(-5). What is the tens digit of (-7)\/(((-9)\/(-36))\/(-1 + c))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, g: 9}. What is prob of sequence ggg?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 10 = -18*p + 17*p, -3*l = 5*p - 3*p - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, z: 1, h: 1}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1320*j - j**2 - 1320*j. Let g(d) = -d**2. Calculate g(b(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/8 - 6*(-2)\/3. Solve -d*b - 3*c + 17 = -23, 0 = -3*b + 3*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Find the second derivative of 8*d + 5*d - 11*d - h*d**2 wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 17 (b) 6 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 3, -2*u = 4*f. Let s(j) = -6*j - 6 + 1 + 7*j - 2. Let c be s(7). Solve -3*m + 3 = -u*h, c*h + 24 = 3*h + 5*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j - 24 - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*v = 76, -5*v + 58 = 33*c - 30*c. Calculate the greatest common divisor of 328 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204 + f**3 - 7*f**2 + 219 - 4*f**2 + 10*f**2.\nAnswer: f**3 - f**2 + 1423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 + 2*n - 7. Suppose -3*r + 14 + 1 = 0. Let l(g) be the third derivative of g**5\/60 - g**3\/6 - 172*g**2 - g. Determine r*l(b) - c(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837740.9 micrometers to meters.\nAnswer: 0.8377409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87a - 302635?\nAnswer: -301866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1217*0.762\nAnswer: 0.0927354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007039 rounded to four dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -12507.6?\nAnswer: -300182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**3 - 14*y**3 + 40*y**3 - 14*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 17*c - 39. Let w be t(-14). Suppose -3 - 3 = -w*o. Solve -3*g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21839635 to the nearest integer?\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199687, -397912, -596137, -794362?\n\"Answer: -198225*y - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 607, 544, 383, 94, -353, -988, -1841?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1411, -2310, -3809, -5908, -8607?\n\"Answer: -300*k**2 + k - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*(-3)\/(-6)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, -3965, -1.\nAnswer: -3965, -276, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 8*c**2 - 11*c + 13. Let i(v) = -60*v - 552. Let p(x) = 9*x + 79. Let k(b) = -4*i(b) - 27*p(b). Let s be k(22). Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.515 - -1.377. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and 396844654?\nAnswer: 396844634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:54 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2\/3, 1\/16 in ascending order.\nAnswer: -0.01, 1\/16, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 2. What is r(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142253 or -142258?\nAnswer: -142253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 33 = -0*m. Let r = -23 + m. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245 (base 14) in base 2?\nAnswer: -10110010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 14421561*g**4 - 10216922*g**2.\nAnswer: 120*g**2 - 346117464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r + 44 = 0. Suppose 0 = p - 3*h - 10, p - h = r - 4. Solve 3*q - 15 = 0, 3*f + 2*q = -0*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 13*z + 40. Let n be j(-3). Calculate the highest common factor of 2615 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j**2 + 62*j + 25. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(1584) - (sqrt(1584) + 3)))**2 - (-2*5*(-2 + sqrt(1584)))**2.\nAnswer: -158656 + 4800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244397359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588387 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -115. Solve 0 = -4*v + r - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362491 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7685*o**3 - 207 - 18*o**3 + 207.\nAnswer: 7667*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/128*-4*(-9 + 1) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 5*k + 18. Calculate the lowest common multiple of g(6) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - c - 62)*(5 + 0*c + c - 6) - 11*c + 5*c**2 + 11*c.\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.1 (b) -0.4822 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224430 (base 6) to base 16.\nAnswer: 4ae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 + 14*w + 1. Let p be y(-7). Suppose 4*n - 9*n = a + 246, 0 = 3*n + a + p. What is the common denominator of -63\/104 and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 * -0.2\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2236*v**2 + 4387*v + 8. Determine d(2).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104)\/585 + (-4)\/(-10). What is the third biggest value in 0.2, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-11)\/(297\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 12*n**2 - 11*n - 4. Let d be r(11). Let q = 10 - d. Determine t so that 12*t**2 - q*t - 15 + 7*t - 13*t + 7 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 12*h**2 - 96*h - 1160. What is r(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-912)\/(-32) + -27)\/(7\/(-42))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 4\/29, 0.3, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 m, and 1 o when four letters picked without replacement from smzszoxshmho?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/144 and -49\/16584.\nAnswer: 99504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j + 1. Let s(b) = b**2 + 71*b + 2. What is 2*h(r) - s(r)?\nAnswer: r**2 - 69*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(810\/(-258)) - (-8)\/(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m**2 + 46*m**2 - 23*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*f + 951*f + 246*f.\nAnswer: 566*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000466 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2969 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzfzzffzfnzzzzzzzzn. What is prob of sequence nfzz?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10848 = -1344*s + 440*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7758*l**5 - 4958*l**5 - 119*l**2 + 537*l**2 + 3271*l**2 - 4394*l**5 wrt l.\nAnswer: -95640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -3, -8\/7.\nAnswer: -3, -4\/3, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 70123033.67.\nAnswer: 70123040.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -24. Suppose -2 = -n + a. Let t(x) = -6*x**3 + 16*x**2 - 16*x + 10. Let z(h) = -h**3 - 3*h + 3*h**2 + 2 - 14*h + 14*h. Give n*t(u) - 16*z(u).\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, 107576.\nAnswer: -4, 20, 107576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5967180 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*10*((-762)\/(-1778))\/(6\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/27215 or 0.2?\nAnswer: -56\/27215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1233833 rounded to three dps?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255410775 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -228, -206, -210, -240, -296, -378?\n\"Answer: -13*w**2 + 61*w - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -73*p + 144. Calculate l(3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 23, 44, 85, 152, 251, 388?\n\"Answer: n**3 + n**2 - 3*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 3*m + 0*m + (-1 - 2 + 1)*(5*m - 45 + 45).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Suppose 2*y - 2*u - 10 = -0, -5*y = 3*u + 7. What is the units digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17611186 at least as big as -17611208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157206 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + -10 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -119, -278, -437?\n\"Answer: -159*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -70, 6\/7, -0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/(-48))\/(-13)*25\/23. Let d = -1\/69 + w. Let i = -7 - -3. What is the closest to -1 in d, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/3, 8277\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.45 from -844837921.\nAnswer: -844837917.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 31 = 3*c, 4*c + 2*q = -61 + 17. Let j be (-210)\/c - 4\/12. Let r = j - 9. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:39 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 44*z**2 + 511*z - 112. Give u(9).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 6*p = 90*p + 872 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 4*z - 36. Let q(m) = -m**2 - m + 1. Let b(l) = -a(l) - 6*q(l). Let r be b(-7). Calculate the greatest common divisor of 36 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-8)\/(-720)*9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*c = 96*c - 54. Solve -2*h + c = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13523194.\nAnswer: 2, 17, 41, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 12) in base 7?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -699897, -700005, -700183, -700431, -700749, -701137?\nAnswer: -701595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 - 2*s**2 - 3*s - 2. Let n = 96 + -97. Let f be u(n). Let z be (14\/(-4) + 4)*(2 - f). Solve 4*v = -z + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 160*r**2 - 190*r - 18. What are the prime factors of o(-8)?\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15242942 or -15242937?\nAnswer: -15242937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 34968*r**4 + 76387588*r**3 - 152880096*r**2 + 76457536*r = 0.\nAnswer: -4372, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2\/15*s**4 + 8\/15*s**3 - 4\/5*s**2 - 2\/15 + 8\/15*s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16452 divided by 1828\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**2 - 353*q + 1314. Determine o(18).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - m + 0*m)*(1 - m - 1) - 350607*m + 350607*m - 70*m**2)*(-3*m**2 - 2*m**2 + 3*m**2) + 2*m**4 + 4*m**4 + 7*m**4.\nAnswer: 157*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-2)\/4)*(-64)\/8. Sort -4\/11, 2\/9, z.\nAnswer: z, -4\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-2)*(-2)\/(-132)*6052\/2550 and -83\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447935857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 - -0.351. Let x = 0.211 - m. Let l = x + 0.77. Which is smaller: l or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.61364 millilitres to litres.\nAnswer: 0.08061364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 5 - -6) + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/1980 - i**5\/220 + i**4\/66 + 11*i**3\/6 - 4*i. Let y(t) be the second derivative of o(t). Find s, given that y(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202202 (base 3) in base 14?\nAnswer: -2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and (16 - 10)*(160\/30 + -1 + -1)?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y**2 + 23*y - 9. Let n be x(-14). Suppose -2*l + 3*t + 2270 = -2948, -t = -l + n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50315 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 = -1. Suppose -2*m + 2*g - 1 = 3, -4*m + u*g - 4 = 0. Let k = 4 + m. Calculate the lowest common multiple of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 24552*x + x**4 + 0 - 24160*x - 60*x**3 wrt x?\nAnswer: 12*x**2 - 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(72))**2 - (sqrt(6)\/sqrt(3) + -4)).\nAnswer: -76 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 20 = c. Suppose 7*f - c*f = 50. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3997879 micrograms?\nAnswer: 399.7879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105849022.\nAnswer: 2, 52924511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {f: 5, j: 3, y: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -12. Let x = -168 - -168. Let i be k\/(-3) - (x - -7). What is the second biggest value in i, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158262389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -5\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (614*u + 4653*u - 1897*u)*((0*u**3 - u**3 - u**3)*(-u + u + u) + 5*u**4 - 4*u**4 + 0*u**4) + 5*u**5 - 6*u**5 - u**5.\nAnswer: -3372*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, 0.06, -5, 1, -4.\nAnswer: -29, -5, -4, 0, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2\/5 - 64*h\/5 - 3344\/5 = 0.\nAnswer: -22, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 + (-3948)\/(-21). Let r = -171 + x. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708715 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 111, 40, -3, 4, 3 in descending order.\nAnswer: 111, 40, 10, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 5, s: 2, z: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, -5\/2, 37, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 6\/5, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**8\/168 - m**7\/42 - m**4\/24 + m**3\/6 - 25*m**2. What is the second derivative of r(t) wrt t?\nAnswer: -40*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109009 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -1111*d**5\/20 + 1399*d**4\/12 - 2*d - 415. Find the third derivative of i(f) wrt f.\nAnswer: -6666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5671203 and -85068041\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(7\/6)*m)*m\/(m*m*m**11\/m) assuming m is positive.\nAnswer: m**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 2*m**2 + 4*m + 3. Suppose -3*p + 2 = 5*r, -1 + 3 = -5*r - 2*p. Let o be s(r). Is o greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2503 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 6 + 18 = 0. Suppose -n*k = -3*k + 17. Let a = 75 + k. What is the greatest common factor of 138 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.23. Let y = -3.89 + i. Which is the nearest to 1\/4? (a) y (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2312 is divided by 712.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157509500 and 505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-966 - 41*a**2 - 243*a**2 + 966).\nAnswer: 568*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 2*u**2 + 2*u + 4. Let y be z(3). Let a be y*(1 - 32 - 0). Let m = 50 + a. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/6 + 4)*3. Let n = -339\/161 + 55\/23. Which is the closest to -3? (a) h (b) -0.04 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - (436\/(-28) + 1260\/(-2940))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 - 67 = -14*v. Calculate the remainder when 53*(-1 - -2 - (16 - v)) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2852 + 2864. Solve 0 = i*b - 46 - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3813923*o**2*p - 12568591*o**2 wrt p?\nAnswer: 3813923*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 k when three letters picked without replacement from {k: 3, e: 3, h: 3, d: 3, m: 5, c: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*c + 180 = -584*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 234 - -41498.\nAnswer: 41732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 3*q**2)*(0*q - 2*q + q) - 22*q**3 - 45*q**3 - 66*q**3 + (q**3 + q**2 - q**2)*(-4 + 3 - 1).\nAnswer: -137*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:55 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16061.328 months?\nAnswer: 1.338444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117823359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 8. Let f be (-2)\/(-11) - -2*(-114)\/44. Let w be n(f). Let o(t) = -64*t**2 + 3*t**3 + 65*t**2 + 4*t**w. Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 64 = 3*c - 4*k, 2*c + k = 114. Let p = 19 + -12. What is the greatest common factor of c and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30195, 30215, 30235, 30255, 30275?\nAnswer: 30295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-96)*((-6)\/3)\/10*(-530)\/(-10)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 11*q**2 + 11*q + 12. Let c = 28 + -18. Is f(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 9065553?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.5069 grams in nanograms?\nAnswer: 199506900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/154 and 79\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13419\/(-14910))\/((-3)\/(-40)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 454833595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 29*t + 14. Let m be (-2 + (-4)\/3)\/(10\/(-120)). Let g(w) = -170*w - 25. Let j(y) = -13*y - 2. Let v(k) = m*j(k) - 3*g(k). What is -3*h(s) - 8*v(s)?\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(900) + sqrt(9)) - (sqrt(300) + (sqrt(300) - (sqrt(300) + 4)) + sqrt(300)).\nAnswer: -219*sqrt(3)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*b**3)*(-4*b - 3*b + 6*b) + 8*b**4 - 11*b**4 - 10*b**4 to g*b**3 + a*b**4 + k + i*b**2 + l*b and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 30859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.4 (b) 20 (c) -103848\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*l = -1, 17*l + 4 = t + 18*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6219 + 25058. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -12 (b) -6 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let t(z) = -2 - 6*z - 2 - 4. Let a(v) = -2*v - 3. Let u(l) = 8*a(l) - 3*t(l). What is u(k(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let m be u(-5). Let k(y) = -96*y - 18. Let g be k(m). Suppose 0 = -4*w - 2*z + 1014, 2*z + g - 199 = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 24*u + 41. What is f(-23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-11242)\/(-77))\/4088)\/((-5)\/2555)\nAnswer: -73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 18 = -12*a. Let q(o) = o**2 + 3*o + 2. What is q(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*((-8)\/32)\/(19\/(304\/12)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.35 + 1.35. What is the fourth smallest value in 5, 0.1, 2\/7, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -0.5, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (-15)\/12 + (-10710)\/(-280)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*p + 10, -4*p = 2*j + 9 + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h - 1. Let v(a) be the first derivative of -a**2\/2 - 2. Let u(w) = d(w) - 4*v(w). What is the first derivative of u(y) wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000324828 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -50*q**4\/7 - 1091630*q**3\/7 + 2620158*q**2\/7 - 917066*q\/7 + 87340\/7 = 0.\nAnswer: -21835, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 1, e: 5, s: 1, f: 4}. What is prob of sequence fege?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 251\/4? (a) 4 (b) -2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r - 8. Let h(q) = 7*q + 8. Let p(c) = -6*h(c) - 5*u(c). Let t be p(-14). Let z = -2 + t. Solve -x = 2*v - 12, -4*x - 3*v + z + 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*((-609)\/70 - 3\/(-15))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 925848*j*x + 2*x + 8604 with respect to j.\nAnswer: 925848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-3)\/x))\/x**(-8))\/(x**(2\/15)*(x*x\/x**(-2\/13)*x)\/x) assuming x is positive.\nAnswer: x**(2089\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 2*g**4 + 3*g**4 + (7*g**2 - 3*g**2 + 2*g**2)*(42 - 42 + 9*g**2).\nAnswer: 53*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660003, 1320009, 1980015, 2640021, 3300027, 3960033?\nAnswer: 4620039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5382 and 11214?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 0, 49*s = 5*d + 50*s - 24. Solve 2*n = -5*y - 18, d*n - 12*y = -14*y - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 + -da3d?\nAnswer: -da85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 474783961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162116?\nAnswer: 2, 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 x when three letters picked without replacement from {x: 2, l: 1, k: 4, d: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269.81 - 270. Let k = 43.49 + -43. Let s = k + p. Does s = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4367123, -8734255, -13101389, -17468525, -21835663, -26202803, -30569945?\n\"Answer: -g**2 - 4367129*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 13*y - 17. Let t be a(11). Suppose -t = -m - 4. Sort m, 4, 0 in decreasing order.\nAnswer: 4, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvr when three letters picked without replacement from bfbbrrbv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 57 = -3*t, 4*t = -3*q + 16 + 27. Let a = -14 + q. Suppose -4*k + k + 20 = -2*f, a*f + 15 = 2*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (-4 + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4*y**2 + 797120*s**3*y**3 - 3*s*y - 980504*y**3 wrt s.\nAnswer: -36*s**2*y**2 + 4782720*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20224*b - 113. Let s(m) = 6741*m + 32. Calculate -2*i(k) - 7*s(k).\nAnswer: -6739*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ddogzngdgoozzzt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*y**2 + 28975*l**3 - 4125*l*y**2 + y**2 wrt y.\nAnswer: -4*l**3*y - 8250*l*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2 - (-3)\/(4 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**38\/((x**(-34)\/x)\/x))**(11\/4) assuming x is positive.\nAnswer: x**(407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - ((-50)\/312)\/((-387)\/4128)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221484 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 1. Let p be n(-4). Let d(q) = -p - 6 + 15 + q. Let b(l) = -5*l**2 + 0*l**2 + 3*l**2. Give b(d(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5361214 divided by 129.\nAnswer: -5361214\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*r = 8 - 11, -r + 23 = 3*y. Calculate the lowest common multiple of 2258 and y.\nAnswer: 15806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 - 1608*q**3 + 189465*q**2 + 987900*q = 0.\nAnswer: -5, 0, 185, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/49, 1, -524, -2\/17?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:43 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3201 - 390 = 0. Calculate the remainder when n is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/6824250 and -211\/15750.\nAnswer: 47769750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + 1 - sqrt(108) - sqrt(108)))*2)**2*-4 - ((2*sqrt(108))**2*3 - (-2*sqrt(108)*2)**2).\nAnswer: -6496 + 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 - -319. Let j = z + -138. Which is the smallest value? (a) j (b) -0.05 (c) 0.03 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*l = -72, 2*l - 6 = -4*d + 70. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 116 = 8 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = -919669*y + 919697*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13242133 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 (base 14) in base 4?\nAnswer: -323201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193290 divided by -2?\nAnswer: -96645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*t - 28. Suppose 0*v - 84 = 3*v + 4*i, -v = -2*i + t. Calculate the lowest common multiple of (-162)\/(-21) - 8\/v and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w + 39*w - 1362*w**2.\nAnswer: -1362*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 0)*(-121*h - 462 + 233 + 229).\nAnswer: 1210*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1 - (-81 - (79 - 116))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 221?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2332 (base 5) to base 10.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -41. Solve -3*j = -h*a + 2, -4 = a - 4*j - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbbaccrirrccbb. What is prob of sequence br?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eiclccccellcceee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/f**(5\/2)*(f\/(f**(-1)*f))\/(f*f**(-9\/2)) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -16. What is the remainder when 35 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) -4 (c) 222 (d) -3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n + 1. Let x be (-225)\/81 + (-2)\/9. Let k be u(x). Which is smaller: k or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4883 (base 14) to base 15\nAnswer: 3b3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*r, 4*r = 5*n + 36 + 9. Let m be 5 - (1 + -1)*-1. Suppose 5*i = 4*c + 20, 20 = c + 4*i + i. Solve c = r*k + 10 + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-12)\/6*-10*(-5)\/(-40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 + 25*v - 5. Calculate z(8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-18)\/4)*-9. Let p(t) be the second derivative of 3*t**5\/20 + t**4\/6 - t**2 + t. What are the prime factors of p(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*o - 36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 2\/7, 0 in ascending order.\nAnswer: -10, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 80775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 1393*n - 1440*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8532 (b) -0.332 (c) -1 (d) -2 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2467 is divided by 818.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(-6))**(-3\/26) assuming l is positive.\nAnswer: l**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.7 + -203. Let h = 18.6881 - i. Round h to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15791 - 15786. Let w(t) be the third derivative of 7*t**2 + 0 + 0*t**3 - 19\/12*t**4 + 0*t + 19\/60*t**j. What is the second derivative of w(h) wrt h?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281844596 a multiple of 6284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 37. Calculate d(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111210 (base 3) to base 15\nAnswer: 19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5115.393l to millilitres.\nAnswer: 5115393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -82, -172, -262, -352, -442, -532?\n\"Answer: -90*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, f: 1, g: 7, k: 5}. Give prob of sequence gk.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + 4)*14\/(-12). Is p at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g - 27. Let u(p) = 2*p - 1. Let x = 18 - 21. Let h(l) = x*u(l) - b(l). Is 39 a factor of h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -116*5\/15 - 6. Let t = u - -676\/15. What is the smallest value in 5, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.87 and 0.2?\nAnswer: 1.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 72. What is the remainder when ((-3)\/5 - 0) + 124\/248*4344\/20 is divided by o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*905.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - n + 510. Let p = n + -59. Let x = -24 + p. What is the third smallest value in -3\/2, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -4 - (-1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20670 + -10445. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 5, 1\/9, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -45)*16\/(-10). Find the common denominator of (-16)\/j - 115\/36 and -17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 212*m - 197*m - 5)*(-m + 0*m + 0*m).\nAnswer: -15*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 12*m + 11. Let h be i(-5). Put 2, h, 9 in descending order.\nAnswer: 9, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/3389 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1983d4a + -1?\nAnswer: 1983d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100921487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -523 divided by 4\nAnswer: -523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -17 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (191 + 0)\/(25\/425) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -1759*g**4\/12 + 995*g**3\/2 - 2*g**2 - 34*g - 1. What is the first derivative of y(i) wrt i?\nAnswer: -3518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1267554381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4346, -8694, -13042?\nAnswer: -17390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1402.7148672 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {b: 8, s: 5, j: 7}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.15197 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14234154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1926322 to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + n - n + (-26 + 2 + 19)*(-20*n - 54*n + 29*n) to the form g*n + o and give g.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367578241 - -1674?\nAnswer: 4367579915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*s**3 - 276*s**3 + 547*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 450.\nAnswer: -28\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -47. Let h be (-1)\/((-10)\/(-12)) + 1. Sort h, 2\/5, g.\nAnswer: h, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -11.989.\nAnswer: 47.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 5, -1, -258 in ascending order.\nAnswer: -258, -9, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 15, -2*z + 9 = -4*z - 5*d. Find the third derivative of -3*v**z + 2*v**5 + 2*v**2 + 3*v**3 + v**2 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 28 = 4*i, 4*i + z - 26 + 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, b: 4, r: 2}. Give prob of sequence prr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrd when four letters picked without replacement from {i: 2, v: 4, d: 3, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrvrrrv.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 31*r - 2. Let v(h) = 4*h**2 + 94*h - 7. Give 7*c(a) - 2*v(a).\nAnswer: -a**2 + 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((2 + sqrt(32))*-6 + sqrt(32)*-2 + 2)*1 + -1)**2.\nAnswer: 576*sqrt(2) + 2129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.043 at least as big as -11923\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*g - 5, 7*g = 6*g + 3*z + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m + 19. Let c(u) = -7*u + 9. Let l(s) = 13*c(s) - 6*y(s). Give l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 6\nAnswer: -125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let y = -242 - -42. Let t be 1950\/(x\/y - 0). What is t rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - 3) + (2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18543736?\nAnswer: 2, 17, 136351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 188189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxlffxlxbbf. Give prob of picking 2 l and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*o**2 - j**2 + 273*j*o - 2*j + 3*o**4 + 2*o**2 wrt o?\nAnswer: -10*j**2 + 36*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose -5*l + 15 = -y, m*y = -4*l + 2*l - 6. Let a = 7 + -4. Is l not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from ikkii.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79301*f**3*z - f**3 - f**2*z + 2*f**2 + 46*f*z + 419*z + 2 wrt f?\nAnswer: 475806*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636875 and 16304?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/6 + 578*b. Let v(t) = 4*t + 1. Let o(p) = -p**2 + 5*p - 3. Let m be o(4). Determine m*v(x) - 5*f(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 + -182 - (1 + -1 + -13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 3 + 10*o - 1 - o**2. Let j be -1*6\/9*-6. Does 8 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85178429, 85178428, 85178427, 85178426?\n\"Answer: -o + 85178430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -30*r**2 - 329*r + 330. Give h(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4, 0.25, -1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764335 is divided by 185.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 93114?\nAnswer: -93111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7194477311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 (base 12) in base 14?\nAnswer: -112c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/5*10\/(-4). Suppose -5*n - y = -4*m + 11, -m = 5*n. Let x = -3.99 - 0.01. What is the nearest to -0.2 in x, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 6*n + 6. Let j be d(6). Solve -1 = 5*t - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 498*r**4 + 406112*r**3.\nAnswer: -2*r**3*(r - 343)*(r + 592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3812784 (base 10) to base 11.\nAnswer: -2174668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 0*d**4 - 2*d**4 - 483*d**2 + 250*d**2 + d**3 + 250*d**2 - 1 as h + x*d**4 + m*d**3 + k*d + f*d**2 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-309)\/(-9))\/(11\/33). Let w = -103 + q. Solve 3*x - 15 - 8 = 4*c, w = -3*c - 4*x + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 41040?\nAnswer: 41036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27700805 - -25.\nAnswer: 27700830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194*d**3*q**4 - 924*d**3 - 8*d*q**4 wrt q.\nAnswer: -776*d**3*q**3 - 32*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let r = 5 + -2. Let f = -1.8 - -1.7. What is the nearest to f in d, r, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a + 856 = -929 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9438 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 35*d + 98. What is j(18)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from {f: 1, p: 1, d: 1, o: 1, b: 1, a: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 326461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -1\/43 (c) -4\/31 (d) 5 (e) 16 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -119. Let l = w - 75.0174. What is l rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a factor of 625430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15158 - 294. List the prime factors of c.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/23, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1169 - 1169.3. Put j, 2\/3, 18 in ascending order.\nAnswer: j, 2\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from nxjrxpry?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/22 and (1 - 32)*(-1)\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 15. Let m be b\/1*60\/(-18) - -4. What is q in 265 + 2*q**4 - m*q**5 - 70*q**4 - 220*q**2 - 20*q**4 - 104*q - 206*q**3 - 281 = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (47 + 30 + -30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Suppose 2*q + q - 400009 = 4*z, b = 4*z - q + 400003. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*(-100)\/(-675)*3\/(-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/(-61))\/((-4)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21171566?\nAnswer: 2, 13, 29, 43, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2278, 9184, 20694, 36808, 57526, 82848, 112774?\n\"Answer: 2302*j**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 3*o + 288 = -9*l, -4*o + 167 = 5*l. Solve l*z = 19*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311\/14 - -45\/2. Find the common denominator of 47\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + 12 - (-7 + (118 - -1)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1443.4 - -3408115221\nAnswer: 3408113777.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -231818, -231822, -231826, -231830, -231834?\n\"Answer: -4*u - 231814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 4. Let h be c(12). Let p = h + -82. Let d = -0.1 - -0.2. What is the nearest to p in 1\/8, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-7 + 0)) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -41.8, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*j - 32*i*w**3 - 3*i*w + 15267*j*w**3 - 22647*j*w**2 - w**4 wrt w?\nAnswer: -192*i + 91602*j - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-3 - sqrt(720) - sqrt(720)) + sqrt(80)*-1)\/((sqrt(64) - sqrt(64)*-1)*-6 + sqrt(64) - (-1*(1*sqrt(64) - sqrt(64)) - sqrt(64))).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-11 - 134)*(-22)\/((-2)\/(-1))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/9, -3, -0.3, -1\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 9*n + 7. What is f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4490, -2, -253 in ascending order.\nAnswer: -4490, -253, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754325 divided by 621?\nAnswer: -2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 101*n**2. Let p(o) = -141*o**2. Let a(b) = -7684*b**2. Let t(g) = -5*a(g) + 272*p(g). What is x(t(f))?\nAnswer: 467024*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.44 - -4.54. Let i = c + 42. What is i rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 87160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 3*q - 66, 3*l - 26 = -5*q. What is the derivative of 30 + l*u**2 + 11*u**2 - 38 - 4*u**2 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((-7 + 37 - 10 - 19) + 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14821?\nAnswer: 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690857.\nAnswer: 541, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 16*a**2 + 177*a - 527. Let y be u(3). What is the highest common divisor of 12654 and y?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 + 4 = -5*s, -n = -5*s - 13. Suppose -5*y - t - 13 = 0, -5*t - 5 = n*y + 16. Let l = -1 + y. Is -3 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1673?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*u - 0*u - 7, 5*p = -2*u + 11. Which is greater: -2\/41 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -488*b*c**2*o**2 + b*c*o**4 - 2*b*c*o - 31*b*o**4 - 3*c**2*o**4 - c*o**2 wrt o?\nAnswer: 24*b*c*o - 744*b*o - 72*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3\/11 - 368*k**2\/11 + 2470*k\/11 - 676\/11.\nAnswer: 2*(k - 13)**2*(7*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5036.0009366 - 5036. What is k rounded to 5 dps?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143.02 - 0.98. Let n = -149.9 - m. Let g = n - -6. Is -2 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-2 + -4 + 3 + 1)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 6, h: 2, c: 2}. Give prob of picking 1 h and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 + -0.01. What is the fourth smallest value in 3, -0.04, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**3\/6 + c. Let a(r) = -r. Let i(f) = 2*f. Let h(u) = -3*a(u) - 2*i(u). Determine h(z(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -2\/11, -269, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let s = 66 - 64. Let f be 5\/(15\/9) + s + -4. Solve -4*q = f + p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-3) + 1 + 24\/(-18). Suppose 0 = -3*y - 3 + 15. Let t = y + z. Solve -3 = 3*w - t*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 10. Suppose g + 35 = -2*g - y, -g + 2*y - 14 = 0. Give o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 502 and 286.\nAnswer: 71786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108103810 is divided by 300.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 82*h - 56. Let y be x(28). Let f(m) = -m + 5. Let l(z) = z - 6. Let a(j) = -5*f(j) - 6*l(j). What is a(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-8)*(-508)\/(-381). What is the closest to -3\/4 in v, 4, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1056122 + 0.2\nAnswer: 1056122.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1692 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-386)\/193)\/((-2)\/(-124)))\/((-39)\/(-9) + -3).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 34*u + 11. Give j(-29).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnqjqqeqqqqqkknnjqq. What is prob of sequence knne?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + o = -5, 0 = h + o + 5. Suppose h*r + 5*r = s + 21, 2*s - 13 = -r. Solve s*k + 4 = -8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 7362236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -2\/27 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(4)\/sqrt(2) + 4.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 103*g + 27. Give w(4).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*z - 10 = 0, -5*z = -2*c + 3*c + 6. Suppose 1 = 5*o - c. Suppose 2*j - 4 = 0, -2*m - 4*j = -6*m - 8. Solve 0 = -d - m - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 83 = h, 0 = -h - 2*h - 2*r + 251. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 + 240. Solve 0 = d*c + 8, 4*c = -4*x + 3 - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.41.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -246460412 (base 7) to base 6\nAnswer: -1314335255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 6:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 146. Sort o, 0, -7, -3 in descending order.\nAnswer: o, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-2) - (-1)\/2. Let n = v + 17. Suppose s + s - 6606 = -n*k, 0 = -2*s + 2. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-43 - (-5 + 2)). Find the common denominator of -9\/4 and (48\/(-99))\/(4\/k).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*u**3 + 328661618 - 328661618.\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114468 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 152663444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -23. Calculate the remainder when (2\/h)\/((-4)\/(-80)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -2)*4 - sqrt(99) - (3*sqrt(99) + 5))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/19 in -124991\/2, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 14, -5 in descending order.\nAnswer: 14, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 3:02 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ookl when four letters picked without replacement from loqkkoqpplpqpkb.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*i + 178*i - 3300 = 0. Let k = -15 + 40. What is the greatest common divisor of i and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/20634 and -1\/128?\nAnswer: 1320576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h)*(4 - 4 - 4) - h + 5 - 5 + 19*h + 18*h - 7*h.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*b - 67*b + 47*b + 804 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -0.03, 25603, 0.1, 2\/11, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553882338?\nAnswer: 2, 3, 17, 19, 95267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -389*h + 3393 + 1275 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 1 - 7. Solve k*t - 2*f + 3*f = -2, 3*f = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Which is the closest to 0.1? (a) -1 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/4*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 789570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 401*b**2 + 798*b - 313639. Calculate w(-397).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2352 + 4851. Calculate the remainder when u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 145.14 (b) -175 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.2 (c) -3 (d) -443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -0*d - 0*d + 11*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:47 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.6 (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(9\/(-27)). Let k be -1 + 0 + (4 - (a - -3)). Let n(h) = k*h - 2*h - h - h. Let o(f) = 3*f**2. Determine n(o(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2468 - -34629. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 2. Suppose t - 32 = -2*q, -4*t + 2*q + 129 = w. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 4 = 0. Let j be 2 - 0\/(1 + -2). Suppose 3*n = -j*n. Solve n = -h*m + b, -m = 4*m + 4*b - 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15718563*d**2 - 178542*d - 507 = 0. What is d?\nAnswer: -13\/2289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g + 95. Suppose 437 = 19*d - 304. Let p be y(d). Which is smaller: -216 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75239.47l to millilitres.\nAnswer: 75239470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974.23 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 + 7 = 0. Let h be 1 - (0 - (0 + 3)). Sort 2, h, y in decreasing order.\nAnswer: h, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114148 divided by -58?\nAnswer: -57074\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least -17\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -4. Let a(b) be the first derivative of b**3\/3 + 3*b**2\/2 - 1. Let v be a(-3). Which is bigger: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 - 21*j**2 - 3*j**2 + 4*j**2.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(19\/95)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -54. Suppose 50 = 2*c + 4*j, 3*c + j - 12 - 93 = 0. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/6 - 16*m**3 + 6*m - 173. Factor y(j).\nAnswer: -2*j*(j + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 + -8.9. Let o = q - -4. Let m = 6 + -16. Is o equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2537395 and 0.3?\nAnswer: 761218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -460 - -488. Calculate the highest common factor of x and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*f - 1 + 1.\nAnswer: -210*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) -5\/3 (c) -2\/3809 (d) -43 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 3, d: 1, g: 2, e: 1}. What is prob of picking 1 e and 2 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1572984 and 24?\nAnswer: 1572984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*n + 114, -n + 3 = 5. Suppose -p - j + 7 = 0. Let w = p + 27. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 2, r: 2}. Give prob of sequence eqrq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (2 - (-1)\/(-5))*(14 + 61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3497 (base 11) to base 2\nAnswer: -1000111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8569 and -0.1.\nAnswer: -856.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334167247.\nAnswer: 334167247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 11\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 568 + 133. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z + 1175. What is the tens digit of l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*j - 1 - 1, -5*j + 4*d = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.176536 + -5901.\nAnswer: -5901.176536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + 7. Let o = y - 48. Let a(v) = 3*v**3 + v - 4. Let h be a(3). Calculate the greatest common divisor of h and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v + 119 = -24*v - 141 - 118 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22923591 divided by -3.\nAnswer: -7641197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 29*n - 10. Is 20 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18459, -18791, -19109, -19407, -19679?\nAnswer: -19919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 10. Let k be q(-7). Let w = 5 - 13. Let x = w + 11. Which is the closest to -2\/7? (a) x (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) + (-6 - (-16)\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -b + 8*k - 10*k, -5*b + 2*k - 580 = 0. Let p = b + 117. Which is greater: p or -8\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/5))**25\/((x\/((x*x**(-6)*x)\/x))\/((x\/(x*(x*(x\/x**(-6\/7))\/x)\/x*x))\/x)))**(7\/5))**(-12) assuming x is positive.\nAnswer: x**(1584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 120*a + 1887. Let y be c(-27). Which is smaller: y or -628?\nAnswer: -628","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134339 - 2*s**2 + 134339 - 239*s + (-3 + s + 3)*(-2*s + 0*s + 3*s) as x + m*s + i*s**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1baf + -3b?\nAnswer: -1bea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 45*g**2 - 95*g + 454. Calculate t(43).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-936)\/(54\/3) - (14 + -28).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485455863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/15)\/f*f*f*f\/f**2)\/((f\/(f**0*f))\/f)**9*(f\/(f*f**(5\/3))*f\/(f\/(f*f**(-5))))\/(f**(-2)*f**(-2\/9)\/f) assuming f is positive.\nAnswer: f**(346\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 59*l**2 + 50*l + 307. Is 29 a factor of c(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**3*z - 804*v**3 + v**2*z - 22*z - 611 wrt v.\nAnswer: 6*v**2*z - 2412*v**2 + 2*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/20 and 81\/1276?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - 28\/8)*13\/(-24) and -53\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -196. What is the second biggest value in -2, z, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-5)\/(-2*10))\/((-12)\/48)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/10)\/((-9)\/(-30)). Factor 0 - 2\/3*t**2 - a*t.\nAnswer: -2*t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 37. What is the highest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-90)\/(-4) + -4). Suppose -181 = -5*i - n, -3*n + 2*n = i - 33. Let b = i - s. Round b to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.25, 170, -1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 27936?\nAnswer: -27931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70 + 26 - 16 - 110*r - 215*r**2 - 32*r**3 + 7*r**3.\nAnswer: -5*(r + 1)*(r + 8)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 17*u + 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-106)\/(-14) + -9)\/(4\/(-14)). Let l be 3\/(-9) - 1\/(-3). Suppose -2*b - 5*k = -7, k + y = -l. Solve -4*u = -b + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 - 3*k**3 + 5*k**3)*(185*k - 5228 + 5228) + (-2*k**2 + 2*k**2 + 4*k**2)*(-k**2 + k - k) in the form t + y*k**3 + s*k**4 + o*k**2 + v*k and give s.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -0.6 (c) 3\/11 (d) -0.4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2164.7 * -743.\nAnswer: -1608372.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.037 + -5.563. Let o = c - -7. Let s = o + -1.39999971. What is s rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*o**5 + 774082*o**4 + 333*o**2 - 489*o + 14.\nAnswer: 900*o**2 + 18577968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.541803 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 3*d + 0*d)*(-1 + 3 + 0) + 70*d - 100*d - 104*d.\nAnswer: -130*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6418338 and 39\/29.\nAnswer: 6418338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13 + 3 = 0. Suppose 3*n + 27 - 24 = 0. Calculate the remainder when 109 is divided by ((g*42)\/(-3))\/n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601030 is divided by 54633.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 13 = 75. Suppose -63*s = -a*s - 3. What is the second biggest value in -0.3, -11, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55500 and 27930000.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(66))\/(sqrt(6) + sqrt(12)\/sqrt(2)*-3).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/((-32)\/2868))\/(-9) - 4. Let m = 661\/18 - w. Find v, given that -2\/9*v**2 - 8\/9*v - m = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 - -14) + (-7 - 13) + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.1018 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174074?\nAnswer: 2, 87037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.5 (b) -43978 (c) -2\/3 (d) 3\/10 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3 - (-12)\/(-8)) + (-81144)\/7938?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6431*w - 14509*w + 3*w**3 + 20940*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*m - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3317797*c. Let r(v) = -v**2. Determine r(p(a)).\nAnswer: -11007776933209*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9336*z + 849576. What is r(-91)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49790583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -13*u**5\/20 + 13*u**2\/2 - 6*u. Differentiate h(z) with respect to z.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 + 23 - 302 - 12)*(4*t**3 + 23*t**3 + 10*t**3).\nAnswer: -6919*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 158*q**3 + 1870*q**2 - 3274*q + 1560 = 0.\nAnswer: 1, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84763 or 339047\/4?\nAnswer: 84763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 2*y - 2. Suppose 2*w = -2*c - 2*c - 14, -2*w + 11 = -c. Let a(p) = p**2 + p + 2. Determine w*a(s) + 2*f(s).\nAnswer: -s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -627 - -883. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*c + 12. Let w = 33 - c. Suppose 2*j + i - 8 = 0, -i - 3 = -3*j + 2*i. Solve -j*o - 13 = -w*q - 4, o = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + c - 1, -4*d + 2*c = -c + 5. Suppose h - 13 = 5*x + d, -h + x = -6. Solve 3*i + h = -i + n, -4*i = 2*n + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1406*q + 1330*q - 912 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2370873 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237464 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 18*i**2. Let h be f(-1). Let c be 3\/2 + (-58)\/(-4). Let w be (-4)\/c + h\/8. Is -2\/7 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d91 (base 14) to base 8.\nAnswer: 25233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**2 - 1\/6*g**3 + 0 - 5\/12*g**4 + 8*g. What is the second derivative of k(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347 by 36513.\nAnswer: -347\/36513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let j be 0*(1 + (-3)\/i). Factor 2*o**2 + 4*o + 1 + 2*o**2 + j.\nAnswer: (2*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708858323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/60662 and -75\/1238.\nAnswer: 60662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from tqeeeqbeetee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133.8 - 42.7. Let v = -91 + l. Let p = 6699\/37 + -181. What is the closest to v in 1, p, -3\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*b - 2*b**2 + 120 - 271*b - 17 - 281*b.\nAnswer: -2*b**2 - 456*b + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196887071 divided by 1.\nAnswer: -196887071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 630*j - 1889\/3.\nAnswer: -(j + 1)*(j + 1889)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -43. Find the common denominator of 32\/27 and (904\/(-192))\/((-3)\/s).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4800384*t - 4800680*t - 22200 for t.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 + 2*s**2)*(661 + 2831 + 1624).\nAnswer: 5116*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17703114?\nAnswer: 2, 3, 11, 13, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 7*j**3 - 9*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92, -242, -486, -824, -1256, -1782, -2402?\n\"Answer: -47*h**2 - 9*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(700) - (0 + sqrt(63)).\nAnswer: -23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205489703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37491 is divided by 24170?\nAnswer: 13321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.74916 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35447 - 4271?\nAnswer: 31156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 11*j = -252. Suppose 124 = 11*s - j. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t + 6*t - t)*(-4 + 4 + 2) - 5*t - 11 + 11)*(-2 + 0*t - 5*t + 4).\nAnswer: 5*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 15*h**2 + 15*h - 12. Let r be l(14). Suppose 5*s + 15 = 5. Let x be 0\/s - (-3 + -1). Solve -4*g = -4, r*y - x*g = g - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -40. Suppose 4*s + k = -0*o - 3*o, 2*s - 3*o = -1. Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-21)*8\/(-44).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32372 - 0.02.\nAnswer: 0.30372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.18 and 16504334304335.\nAnswer: 16504334304335.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.492 + 1.592. Let a = -0.3 + -0.1. What is the biggest value in c, a, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7016981942009 and -0.9.\nAnswer: 7016981942008.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1262 in 3, -1, -0.1, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.05 - -0.05. Let h = -4 - j. Let a = -91501 - -91500.5. What is the closest to h in 5, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmxmxcdxnxxx. What is prob of picking 1 d, 1 m, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htbtbtutbthbtbbtub. What is prob of picking 2 h and 2 b?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 8. Let z be b(7). What is the common denominator of -39\/10 and (z*(-3)\/6)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/360 + w**5\/90 + w**4\/24 - 71*w**2 + w. Solve j(z) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/9 + r**2\/6 + 4*r + 482. Factor j(i).\nAnswer: -(i - 4)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/2 + (-72)\/(-6). Suppose -3*t + 4*d = -9245, t + 0*t - 3089 = u*d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Let t = u + 50. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -608731\/411372 + -8\/7911. What is the common denominator of 193\/448 + (0 - ((-117)\/(-21) - 6)) and t?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-22) + 10\/55. Let s = z - 2. Find the third derivative of -s*u**5 - 3*u**5 + 5*u**2 + 8*u**5 + u**2 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 140576952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5540 by 396.\nAnswer: 1385\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i + 5. Let r be q(-4). Let o be ((-1 - -2) + 0)*r. Let d = o - -102. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.5 + -13. Let s = 3.5000288 + c. Round s to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-218)\/(-54))\/((9\/3)\/18))\/(2552\/11484).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/30 + -1\/60. Let z = -13 + 22. Let h be 6\/(-7)*(-6)\/z. Sort h, -3, n in descending order.\nAnswer: h, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.531 (b) 0 (c) -0.8 (d) 10 (e) -2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*r - 1, 5*t + 2*r + 0*r - 7 = 0. Suppose -2*c - t = 5. Sort 1, 17, c in ascending order.\nAnswer: c, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 5, p: 1, g: 5, w: 8}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -912468 rounded to the nearest 10000?\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {y: 1, v: 6, k: 2, t: 3, s: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 847, 824, 781, 712, 611?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 36*p**3 - 4*p**2 + 3*p. Let m be q(1). What is the highest common divisor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/398682 and -79\/21114?\nAnswer: 6777594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14*h**2 - 3*h - 3. What is f(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154069679.\nAnswer: 151, 1020329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744048898?\nAnswer: 2, 372024449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/63398940 and 107\/1540.\nAnswer: 443792580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p**3 - 5*p**2 - 9*p + 6. Let l(f) = f + 2. Let s(a) = -2*l(a) + q(a). Let x be s(-2). Calculate the greatest common divisor of x and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*y**2 - 191*y**2 + 7434*y**4 - 7825*y + 455*y**2 wrt y.\nAnswer: 89208*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5047, -10090, -15133, -20176, -25219, -30262?\nAnswer: -35305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*n + 8, b - 3*b - 2 = -2*n. Factor -6*w**2 - w - 2*w**2 - 3*w + 2*w**b.\nAnswer: -2*w*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - -a0?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -524*d + 126*d + 149*d + 120*d + 126*d. Let o(x) = -5*x. Suppose -9 = s + 3. Let u be (7\/4)\/((-3)\/s). Give u*t(j) - 4*o(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2016, 2013, 2008, 2001, 1992?\n\"Answer: -a**2 + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -131*z**4\/12 + 11*z**3\/3 + z**2\/2 - 66*z + 3. Find the second derivative of o(j) wrt j.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - (2 + 1\/(-1)). Let i be v\/(-10)*-1*15. Let a = 14 - i. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*1)\/((-3604)\/68 + 59)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - ((-7 - -15) + 8)) + -10 + 1 + -57.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.030588672 from 539.\nAnswer: 539.030588672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -5*r**4\/24 - 3*r**2. Let m(s) = -s. What is m(c(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m - 77*m = -24*m - 510 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -84*g - 1511. Let p be m(-18). Let y(x) = 1. Let l(n) = -3*n - 12. What is p*l(i) + 5*y(i)?\nAnswer: -3*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 2 - (13 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 583 - 581. What is the closest to -2\/23 in i, 4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3 + 4 + 1)*(-4 + z + 4 + (-2*z + 0*z + 0*z)*(-2 + 1 + 2) + 0*z + 3*z + 0*z).\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*b**3 + 61*a**3 + a**2*b**2 - 826*a*b**3 + 27*a*b**2 wrt b?\nAnswer: -6*a**3 - 4956*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 40 = -u. Let z = u - -7. Let r be ((-17)\/5 - z)*-1. Which is the smallest value? (a) -4 (b) -2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(891) - (sqrt(891) + -1)) + sqrt(891) + -4 + sqrt(891) - -5*sqrt(891)*-4) + 1)**2*1.\nAnswer: 648*sqrt(11) + 288688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**3 - 17*t**2 - 6*t**3 - 12*t**3 - 2*t**3 wrt t.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 60871657.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2687\/2 - 1346. Suppose 10*s = -s. What is the fourth biggest value in i, s, 2\/65, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5\/6. Let t = 6.3 + -1.3. Let i = -7 + t. What is the third biggest value in i, 0.5, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 9*w**2 - 3*w - 7. What is p(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17247 + -9626. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 1643276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k = -49*k - 14366. Let l = 1202 - k. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.379521t to milligrams.\nAnswer: 5379521000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 325 = f + 9*y, 4*f - 1288 = -2*y. Let x = f - 320. Which is greater: x or -243?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -23 + 3 + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2650454 years to centuries.\nAnswer: 0.002650454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/2 - 387*z**4\/2 + 411*z**3\/2 + 2727*z**2\/2 - 204*z - 1170 = 0. What is z?\nAnswer: -130, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-183)\/(-12). Let w be (126\/v)\/(10\/(-125)). Let d = w + -98. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*d + 289*d = -0 - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -87*n - 894. What is k(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 697\/2023 - (8 - 4080\/504)*-3\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15881?\nAnswer: 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 295225?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 + -284. Let x be (-420)\/(-24)*(-32)\/10. Let y = -32 - x. Solve 3*w + 3 = 3*q, -s*q - 2*w + y + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/24 + -1)*(-3)\/1. List the prime factors of ((-26220)\/40)\/((-21)\/12 + u).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132*(4\/(-22))\/(((-13284)\/451)\/54)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22977.\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 + 8 - 2372960*k**3 + 2382646*k**3 - 13 - 23*k wrt k?\nAnswer: 58116*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259154*c + 197 = 259170*c + 53 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67\/12, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*k + 9*k. Let b = -704.3 - -704. Sort b, -2\/3, 0.2, k in decreasing order.\nAnswer: k, 0.2, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from pwpwwvwd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -846 + 902. Solve -v*m = -50*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*s - 45 = 0. Let f(w) = -w**2 - 4*w - 5. Let q(h) = -h**2 - 4*h - 4. Determine s*q(p) - 4*f(p).\nAnswer: -p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k - 1. Let d be y(1). Let u(p) be the second derivative of p**5\/20 - 2*p**4\/3 - 7*p**3\/6 - p**2 + 6*p. Is u(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242*l + 474*l - 243*l + 1)*(2*l + 3 - 3).\nAnswer: -22*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 18. Let s be n(5). Let b(u) = u**2 - 14*u + 1. Let v(i) = -i**2 + 14*i. Let f(p) = 4*b(p) + 5*v(p). Does 9 divide f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.462 - 10.43?\nAnswer: -9.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -516, -335, -14, 453, 1072, 1849, 2790, 3901?\n\"Answer: g**3 + 64*g**2 - 18*g - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 175446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from tftf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:45 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12509.1 - 12536.1052. Let u = 27 + h. Round u to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q - 1. Let y = -10 - -15. Suppose -p - y*c = -0*c - 7, 0 = p - c - 1. Let u(a) = 7 - 5 + 2*a**2 + 2 + a**2 + 3*a. What is p*g(o) + u(o)?\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1286.7 - 1289.7. Let w = 1.8 + -2. Which is the fourth biggest value? (a) w (b) m (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -210*(-16)\/30*12. Suppose 368*u = 374*u - y. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**2\/11 - 708698442*o\/11.\nAnswer: -6*o*(o + 118116407)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -164461?\nAnswer: 164459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 4617?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2949 + 1123 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b*j**2 + 5762*b + 2072*j**2 wrt j.\nAnswer: -12*b*j + 4144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 13*n = -116, 104*n - 55 = -5*y + 109*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34\/68)\/((-14)\/(-8)). What is the closest to -6 in -0.1, 2, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 8. Let d(t) = -t**3 - 4*t**2 + t + 6. Let h be d(-3). Let p be 36\/(-8)*4\/h. List the prime factors of n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 69926988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245 - 187) + (-4 - 14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000218421 rounded to 7 dps?\nAnswer: 0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 412*u + 10584.\nAnswer: 4*(u + 49)*(u + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*r. Suppose 2*f + 0*f = -2*n - 52, -f - 23 = r*n. Let w = 34 + f. Calculate the least common multiple of 20 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 15, -5*g + 3*r + 39 - 4 = 0. Let l be 68\/(-132) + (-2)\/(-6). Which is the nearest to 0? (a) -1\/5 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:11 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5602 - 1?\nAnswer: -5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -353, -481, -811, -1445, -2485, -4033?\n\"Answer: -17*h**3 + h**2 - 12*h - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 34998900 to the nearest 100000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7298*a. Let b(h) = 45*h + 4. Calculate z(b(y)).\nAnswer: -328410*y - 29192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42754*(-3 + 469\/14) - -3. What is l rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 16 - 7 = 2*y - 4*p, 5370*y = 5384*y + 3*p - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let b be o(-3). Suppose 44 = b*m + m. Let g = -395 - -401. What is the least common multiple of m and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5173 is divided by 144.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9 + 3*u - 1 - 2*u. Let d be s(8). What is the highest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -2. Let a be v + (1 - (-8000)\/4) + -2. Suppose -12*c = 441 - a. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)\/i*(i\/((i**(1\/6)*i)\/i))\/i)**(12\/13)\/(((i\/(i\/(i\/i**(-2\/7)*i)))\/i*i\/(i*i*i*i\/i**7*i))\/(i\/i**6*i**(-4\/5))) assuming i is positive.\nAnswer: i**(-5009\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19471 is divided by 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + (sqrt(1584) - (-2 + sqrt(1584))) + -4)) + -5 - (-2*(1 + sqrt(1584)) - 6*(0 + sqrt(1584))**2).\nAnswer: 24*sqrt(11) + 9503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r**3 + 3*r**2 + r. Let z be q(-2). Let p = -93 - z. What is the remainder when p is divided by (-1 - 13)\/(-4 + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 1 + 2 + 0. Let n be w(2). Suppose 47 = -n*y + 137. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 3*n**7\/7 + n**5\/5 + 111*n**4 + 934*n**3\/3 - 9940. Find the third derivative of t(d) wrt d.\nAnswer: 360*d**3 + 24*d + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1250342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.796 + 43.1707. Let u = o - 52. Let v = u - -0.032606. Round v to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + -63b40?\nAnswer: -63a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qrjqdr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279762 and 1092?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**5 - 65*t**3 - 715*t?\nAnswer: -60*t**3 - 390*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*y - 4, 1 = -5*y - z + 2*z. Is y + (87 - (0 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 56 = y. Suppose -32 = 2*n + 96. Let b = n - -148. Calculate the highest common factor of b and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(-420)*-18 + 65253\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(-6)\/20*45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 3) + 6 + (15 - (6 + 0) - 7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 35.6. Let g = h - 33.5. What is the nearest to 7\/6 in 2\/9, g, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3534, -14891, -33968, -60765, -95282, -137519?\nAnswer: -187476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/7))**22 assuming k is positive.\nAnswer: k**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a - 104 = -1616. Let b be (0 + 0)*21\/a. Solve g - 12 = -5*j + 2*j, 2*j - 3*g - 19 = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 17. Calculate the greatest common divisor of 39 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 1.204?\nAnswer: 20.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -16698?\nAnswer: 1669b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87671641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636 = 77*w + 60 - 194 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3077, 12039, 26865, 47549, 74085, 106467, 144689?\n\"Answer: -s**3 + 2938*s**2 + 155*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + j. Suppose j*q + 3*q = 90. Is 3 a factor of (-2)\/3 - (-230)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(156)\/(-1*sqrt(12)) + (sqrt(52) + sqrt(52)*1)\/sqrt(4) - ((sqrt(429)*-2)\/sqrt(11))\/sqrt(3)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534876672 + 27*f**3 + 267438337 + 267438337.\nAnswer: 27*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29660 - -29660.4. Put -2, n, -392 in increasing order.\nAnswer: -392, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.270049 - 0.27. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5513943 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: -76*-72165\nAnswer: 5484540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820798.\nAnswer: 2, 7, 130057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/16)\/7)\/(4\/24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/9, 4, 0.2, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.5629457\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*r**2 - 600*r**2 - 1534*r**2 - 330*r + 330*r.\nAnswer: -1765*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 79556?\nAnswer: -15911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -141343, 294?\nAnswer: -141343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 - -72. Suppose 5*p + 2*t = -20 - 14, -p + 3*t = u. Let g be (-4)\/10 - p\/15. Solve 0 = 4*o - g*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*h + 103*h - 54 = -104*h. Solve h*g - 6*g = -9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2 + -1 + 1). Let q = -2 + k. Let r(g) = -g**3 - g**2 - g - 2. Give r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.06 + -8.99. Let d = j - -20. Which is the biggest value? (a) -3 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005904 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063469 is divided by 2073.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -4*n, n = -4*s - 0*s + 30. Let p = -3614 + 3614. Solve p = -3*o, 3*t + t - s = -4*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a47 (base 12) in base 13?\nAnswer: -160c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1784502, 1784498, 1784492, 1784484, 1784474, 1784462?\nAnswer: 1784448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.91 + 0.09. Let x = 4.00000032 - k. What is x rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.479 + -0.151. Let y = -2.63 - p. What is the third biggest value in 4, -0.5, y, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-13 - -6) - (5 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -30*x - 151. Let i be g(-5). Let c(s) = -11336*s**3 - 2*s**2 + 7*s + 8. Is c(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072 divided by 56?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 24 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*v + 11 - 50*v - 4 + 22*v as o*v + l and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-80))\/((-21)\/((-3360)\/(-128)))\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 2111333130021?\nAnswer: 2111333130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b**2*g**3*h + 9*b**2*g**3 - 2*b*g**3 - 2*b*g*h - 13*b*g + 4*g**3 wrt b.\nAnswer: 36*g**3*h + 18*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -108. What is the second biggest value in -0.5, l, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyyyyyyny. What is prob of sequence ynn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) + ((-24)\/(-2))\/((-81)\/(-270))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147 - 1051?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 269836*w - 46293456.\nAnswer: -4*(w - 67287)*(w - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -36. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3351407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10005.\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -459 or -455?\nAnswer: -455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 15\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o**3*o*o**(1\/3)\/(o\/o**7))\/(o\/(o*o**3\/o)*o\/(o\/o**7)*(o\/(o\/(o**(1\/2)*o)))**(-19)) assuming o is positive.\nAnswer: o**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*b**3 + 87620 - 87620 - 2*b**2 in the form m*b + s + k*b**2 + a*b**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1635, -41, -1 in decreasing order.\nAnswer: 1635, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -69. Differentiate -7 + 0*p**4 + 5*p**4 + 14 + h wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 760823022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 396*x**4 + x**3 + 399*x**4 + x - 3 to the form j*x**3 + h*x**2 + r + u*x + m*x**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 27*z**2 - z + 27. Let q be v(27). Solve q = -2*i + 2 + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 947613\/160 or 5924?\nAnswer: 5924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5312*p. Let b(r) be the second derivative of r**3\/6 + 49*r. Determine b(d(v)).\nAnswer: 5312*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.1 + 52. Let d be ((-6)\/40)\/(122\/8 + -16). What is the biggest value in d, 1\/6, w, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 55. Suppose -3*f = i + 5 + g, -3*f = -3*i + 12. What are the prime factors of 0 - (1*f + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4672206 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7074 - 1.2074. What is the fourth biggest value in -12, 5, 0, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 3*v + v)*(-2*v**3 + 1 - 1) - 46*v + 5*v**4 + 46*v in the form i*v**3 + h*v + z*v**2 + b*v**4 + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-143)*(-27 + -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/18, 55, 10, -1, -1\/4, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446382109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*r = -8, -3*i + 2*r + 4 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 130?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 3550?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/165 - 1\/11. Suppose -3*u = 3*m - 6, w = -m - 3*m - u + 11. Which is the second smallest value? (a) 1 (b) -4 (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0303 + -15.4697. Let p = -16.5 - a. Put -0.5, -3\/10, p in increasing order.\nAnswer: p, -0.5, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5, 8*a - 12 = 9*a + 3*s. Suppose a*x = 3*q + 2 - 17, 0 = 2*x + 3*q + 5. Let p(l) = -l**2 - 2*l + 4. Calculate p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(57*i - 144*i - 91*i).\nAnswer: -356*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 0.0591537?\nAnswer: 2.0591537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10923?\nAnswer: 3, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13 = -5*p, -5*p - 6 + 5 = -3*i. Solve -z - i*z + 16 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 121*f - 122*f - 11 = 0, -2*o - 12 = 2*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*t + 10, -5*t + t + 4 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 8. Give r(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/27 (b) 2 (c) -3.1 (d) -1 (e) 5 (f) 2\/455\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njvjvjnjjjjjvhvvvv. Give prob of sequence jh.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 67, 3, -6\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2 + 13, -6 = 3*n - z. Which is the second biggest value? (a) 2\/7 (b) -17 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:18 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*x + 501, -2*t - 2*t = x + 673. Let g = t + 175. What is the least common multiple of 137 and g?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-1 - (-3 + 7). Let z(b) = 2*b + 9. Give z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 105059724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -53*d**3 - 130*d**2 + 6072*d + 15. Give j(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*x + 68*x + 14*x to t + a*x and give a.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3282*-0.04858\nAnswer: 159.43956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyppppy. What is prob of sequence yy?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -i + 7, -11*x + 2 = 4*i - 12*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Put -8, 0, r in descending order.\nAnswer: 0, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6 (b) 1 (c) 2 (d) -13\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**5 - l**4 - l**3 - l**2 - l. Let t(j) = j**5 - 10*j**4 + 14*j**3 + 8*j**2 - 13*j + 6. Let u(z) = 2*g(z) + t(z). Factor u(r).\nAnswer: 3*(r - 2)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 12*l + l**2 - 13*l + 1 + 0*l**2. Determine g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/12 + 2*n**3\/3 + 5*n**2\/2 + 3*n. Let q = -1240 - -1244. Give k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y + 3*z, 14 = 5*z - 11. Let d(i) be the first derivative of -3*i**2\/2 + 3*i + 8. What are the prime factors of d(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 - 325. Let n = k + 118. Calculate the highest common factor of 182 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose 2*m = -w*l + 6, 3*l = m + m - 6. Determine b so that -4\/3*b**2 - 14\/3*b**5 + 8*b**4 + 0 - 2*b**m + 0*b = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-159)\/(-371) + (-2 - -1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.364*0.008.\nAnswer: -0.002912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8) + sqrt(2)*-1*4 + 4)**2 + 0.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:44 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -4*u - 25*p, -2*p - 9 = 98*u - 93*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/99)\/((-2)\/(-12))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -26 + 8*u + 7\/4*u**4 - 2\/3*u**3 - 14*u**2. Suppose d(i) = 0. Calculate i.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-375)\/90)\/(105\/(-63))*46\/20.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-5)\/(-25)*(6 - 1). Which is the closest to -3? (a) s (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.18 < 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 10 - 6) + -4 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/17 + 108*d**3\/17 + 984*d**2\/17 + 592*d\/17 - 5952\/17 = 0. What is d?\nAnswer: -6, -4, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4406454cm?\nAnswer: 0.004406454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbbbttbbbbbbp. What is prob of sequence tpb?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 10. Let v be (40\/l)\/((-1)\/2). Let i = v - -8. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*q + 5, -l + 0*q + 14 = -3*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666 divided by -26?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = u + 22*w - 55*w - 13, 14*w = -4 - 10 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**8\/1848 + 2*m**7\/165 + m**6\/11 + 53*m**5\/165 + 83*m**4\/132 + 8*m**3\/11 - 95*m**2. Find g such that f(g) = 0.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*u + 85, 3*m - 2*u - u + 27 = 0. Let b = m - -16. Is b\/((-4)\/(-14)) + 1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9139428 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -65) + (-515)\/25?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/2))\/((v**(2\/5)*v)\/v)*(v**(-1)*v)**(3\/4) assuming v is positive.\nAnswer: v**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, p: 15}. Give prob of picking 1 p and 2 w.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine sixths of a week?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 22*b - 21. Let m be p(23). Suppose -2*z - 1226 = -m*g, z + 903 = 3*g - 936. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, -2, 2, 45.68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrvvvrqrvvvvvrvv. Give prob of picking 2 v and 1 q.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*c + 2*k + 3*k, 4*c - 4*k + 28 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.8. What is the second smallest value in t, 4, 6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**2\/2 + 4*x - 4. Let v(l) = -l**3 + 3*l**2 + 4*l - 4. Let c be v(4). Determine j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/6*(1 + -6). Let u = -66 + h. Solve -i - i = 3*f - 13, 0 = u*i - 5*f + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-2)\/sqrt(5) - sqrt(12))\/(sqrt(24)\/sqrt(16)) - ((sqrt(10) - sqrt(40))*2)\/((-2*sqrt(25))\/sqrt(5)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-7) - 1326\/455. Which is the second biggest value? (a) 0.3 (b) 9.7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/4, -1, 0.044, -0.12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 112 = -5*s. What is the common denominator of -43\/7 and (12 - s)*(-5)\/22?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -934\/11 and -85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.298616 millilitres to litres.\nAnswer: 0.004298616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/3360 - b**7\/504 + 5*b**4\/24 - b**2. Let u(s) be the second derivative of n(s). Find the third derivative of u(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 - 4*l**3\/3 + 3*l**2\/2 + 2. Let i be t(3). Suppose -3*j + 9 = i, -24 = a - j - 4*j. Round a to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1359 and 50589.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 6 = -5*a, 3*j - 4*a = -9*a - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/15 - n**4\/3 + 11*n**2. Factor f(d).\nAnswer: 4*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 825 + -793. Suppose 5*h + 4*a - 24 = 0, 3*a + 52 - l = h. Calculate the remainder when 158 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16 = 0, 0 = -b - 3*c + 3 + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/15, -0.2, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5 = -3*y + 18, 2*y - b = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*l + 368907 = 483*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, -6, -1, -0.026 in decreasing order.\nAnswer: 3, 1, -0.026, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -44, -11*y - 73 = -3*w + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -13*v - 3. Which is the smallest value? (a) -0.2 (b) v (c) -1\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 + -432. Calculate the lowest common multiple of 80 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-935) + (-250177)\/5555?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + (6 - -16) + -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*w - 20 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2025)*8799*1\/(-5). Let d = k - 179\/25. Let t = 2162\/5 - 58519\/135. Find the common denominator of t and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b + 21. Suppose -b*n + 23 = -l + 7, -28 = -2*l - 5*n. What is the first derivative of -2*a + l*a + 0*a + 3 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 50*t = 43*t + 644. Let a(h) = h + 1. Let g(i) = 3*i + 3. What is t*a(c) - 6*g(c)?\nAnswer: -4*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1532738 and 1490.\nAnswer: 1141889810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -33 (c) 6 (d) -5\/6 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 1. Let n(d) = -12*d**2 - 10. What is -3*n(u) + 30*z(u)?\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0 (b) 0.01 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xajgajgsjsja. What is prob of sequence gssx?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 2. Suppose -4*w = 5*b - 9, 4*w - 2*b + 2 = 4. Let g be n(w). Suppose -c = -g*t - 16, 2*t = -t. Solve -c = u + 4*j, -j = u + 2 + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 123352.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -0.37. Let f(o) = o - 8. Let n be f(9). What is the closest to n in 2\/5, 3, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026824 to six decimal places.\nAnswer: 0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 305 = 5*g, 4*g = -5*z - 0*z + 244. Let d(n) = -n**3 + 6*n**2 - 5*n + 4. Calculate the remainder when g is divided by d(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -540*x + 160. Let m(k) = -268*k + 79. Let h(i) = 3*j(i) - 7*m(i). What is the derivative of h(p) wrt p?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 30 = 3*q, 4*h + 68 = -4*q + 8*h. Let p be (q\/(-8) - 1)\/((-4)\/(-16)). Suppose 20\/7*b**2 + 4\/7*b - 14*b**4 - b**p + 0 = 0. What is b?\nAnswer: -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11198000 rounded to the nearest 100000?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -4, 2, 12, 26?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 4*g - 88, 0 = -4*g - r + 72. Calculate the remainder when g is divided by 9 - ((-3)\/(-1) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*s - 5*u, 0*s - 24 = -3*s + 3*u. Solve 4*r + s = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2287249 + -3?\nAnswer: -2287252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 3*t + 3. Let v(u) = 5*u**2 + 2*u + 2. Let n(k) = -2*g(k) + 3*v(k). Let o(c) = c**2. What is n(o(h))?\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4879079145 rounded to 5 decimal places?\nAnswer: 0.48791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -3, -6.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -269271 divided by -9\nAnswer: 29919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3226*z**3 - 7978 wrt z?\nAnswer: 9678*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(153)*1*-4)\/sqrt(9)*3 + 4 + -3*(sqrt(17)*2*3 - sqrt(17))))**2.\nAnswer: -3456*sqrt(17) + 198544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-93)\/(-15) - 6)\/((63\/35)\/3). What is the second biggest value in -50, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 1236*o**3 - 163818*o**2 - 5712984*o - 15697800 = 0. Calculate o.\nAnswer: -450, -114, -51, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-25)*((h*h**(-29)*h*h)\/h)\/h)**(-46) assuming h is positive.\nAnswer: h**2438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 1935 - 1935.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 3387840?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315221*i + 3593745*i + 3712218*i.\nAnswer: 5990742*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 893907, 3575590, 8045047, 14302272, 22347259?\nAnswer: 32180002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 - m + 27 + 23 + (-1 - 4 + 19)*(0 + 4*m + 0) + (2 + 0 + 0)*(-1 - m + 1).\nAnswer: 53*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4 and -131\/6192.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-104))\/((-5)\/4 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(475)*2 - sqrt(475))**2 - (5 + (-3*sqrt(475))**2)*-2.\nAnswer: -131090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 9, r: 6, z: 1}. What is prob of picking 4 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1334, 2666, 3998, 5330?\nAnswer: 6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 12:28 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.268 decades to years.\nAnswer: 7282.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n - 9 - 15*n**2 + 16*n**2 - 3. Let g be j(-13). Let u(m) = m**3 - 2*m**2 + 2*m - 1. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 8. Suppose -4*m + r - 21 = -4*r, 0 = -5*m - 2*r - 18. Let g(q) = -4*q + 14. Let n(c) = m*g(c) + 7*z(c). Let d(i) = 2*i. Give n(d(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*f + 5*f**2 - 347 - 175*f.\nAnswer: 5*f**2 - 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011 = 44*y + 351 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:27 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyvvovtylvgvo. What is prob of sequence gvv?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 8. Calculate the highest common divisor of g and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(152))\/sqrt(8).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*c**2 - 393*c**2 - 242*c**2 - 507*c**2 - 139*c**2.\nAnswer: -1153*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.6. Let f = 66 + -64. What is the second biggest value in 5, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-51)*(7 - 10)*-12?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.27 and 0.003.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-3381)\/(-14) + (-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z + 324*z - 35*z - 33*z + 14*z - 2 - 91*z.\nAnswer: 141*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49141*k + 63028 wrt k?\nAnswer: 49141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 5*u**3\/3 - 93*u**2\/2 + 389*u + 3332. What is the derivative of f(d) wrt d?\nAnswer: 10*d - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiihiiiihii. What is prob of sequence iih?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n - 155. Determine m(14).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 353, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Suppose -z*g + 15 = -0*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvk when four letters picked without replacement from {g: 1, k: 2, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3587 - 3632 = -15*g. Let b be (-26)\/(-6) + 9\/54. Solve -6*m**2 + b*m - 1 + 2*m**g = 0 for m.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (sqrt(21)\/sqrt(7))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (4 - 108\/16))*-4. Let a be 1\/b - (-2356)\/95. Calculate the greatest common factor of 125 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 6*z**2 - 4*z + 8. Let i be (-958)\/(-8) - 4*(-18)\/(-96). Let b = i + -113. Determine c(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)*5 - (sqrt(132) - 6*1*sqrt(132)))\/(-2*-2*(sqrt(192) - (sqrt(192)*-3 + sqrt(192)))).\nAnswer: 5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/sqrt(162) + 4.\nAnswer: sqrt(17)\/9 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, 4, -14, -89, 7 in decreasing order.\nAnswer: 7, 4, -14, -89, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. Let w be (2 + d)*-1*-5. Let p(s) = s**2 + 5*s + 3. Calculate p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3323 is divided by 195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -788\/3 + 271. Let c(y) = y**3 + 7*y**2 + 5*y - 2. Let p be c(-1). Find the common denominator of (-2 + -2 + (-104)\/(-22))\/p and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -32, -3, -175, -4, 12 in decreasing order.\nAnswer: 12, 7, 2, -3, -4, -32, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 111. Let m(s) = 35*s. Let q(g) = -12*g. Let p(d) = 5*m(d) + 14*q(d). Give p(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*n*t**2 + 16*k*n*t + 2*k*t**4 - 2*k*t**2 - 363*n*t**5 + 101*n*t**3 + n*t - 83*t wrt t.\nAnswer: 48*k*t - 21780*n*t**2 + 606*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 11316*x**2 - 16406082*x - 1123322256.\nAnswer: -2*(x + 72)*(x + 2793)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1398960 and 2221980.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17174135 and 7865?\nAnswer: 223263755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 + 3 + (3 + 2 - 3)*(-1 - 1 + 0) + 0 - 4 + 6 - 3 + 2 + 3)*(4*q**2 - 3*q**2 + 0*q**2).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 4. Let c(y) = -9*y**2 - 1. Let w be c(1). Let x = 13 + w. Let g(d) = 0*d + 2 + 6*d + x - 5*d. Determine 6*g(l) + 7*s(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -493, 2\/13, 9, -0.3, -48?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -195 + 195 - 24*b in the form d + x*b and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 8*c**2 + 8*c + 8. Suppose 4 + 8 = -2*z. Is a(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-45)*(-9)\/(-18)*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.5, -1, 0.08, -4, 0.3 in increasing order.\nAnswer: -13, -4, -1, 0.08, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81\/7 + 345\/28. Suppose -l + m - 2 + 1 = 0, -4*l - m - 4 = 0. Which is the nearest to -2? (a) l (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*74\/(-37)*(-2)\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281 - 195. Calculate the highest common divisor of w and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25 - (-106)\/10. Let g = x + -7. Suppose g*y - 36 = -0*y. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 2*o**3)*(93 - 65 - 57) - 4*o + 4*o - 11*o**3.\nAnswer: 47*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75103526 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -46*x - 219. Give w(-7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2157\/5 + 431. Which is the nearest to l? (a) 5 (b) 3\/544 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.535 - -0.53. Let l = y - 0.955. Let j = 0.04 - l. What is the nearest to j in 0.03, 5, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = p + 3*j, 3*p - 3*j = 39. Suppose -2*i = -a + i - p, -5*i + 41 = 4*a. Solve a*t = 3*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 12, -6544, 2\/9, 0 in ascending order.\nAnswer: -6544, 0, 2\/9, 1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13321 + 23947. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -5351\/4?\nAnswer: -5351\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(v - v - v)*(-7*v - 16*v + 5*v)*(27*v**2 + 2*v**2 + 21*v**2).\nAnswer: -1800*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2751*b + 2748*b = 10, -3*s + 6 = -2*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-337*q**3 + 337*q**3 - 23*q**4)*(-2 - 2 + 5) to the form c*q**2 + u + v*q**4 + l*q**3 + w*q and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/5 + 384*u**2 + 7654*u\/5 + 5736\/5 = 0.\nAnswer: -956, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111010001011 (base 2) in base 6?\nAnswer: 131055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 10*j + 5. Let b = -27 + 39. Suppose 46 = -5*t + 2*z, -3*t - 12 - b = -3*z. Let s be u(t). Solve -4*w - 4*o - 30 = -10, 0 = w - s*o - 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52130 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 113 + 107 - 220. Let m(z) = z - 1. Let u be m(3). Let c(y) = -3*y + u*y + 9*y. Calculate f(c(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 501*z - 504*z, 0 = z + 2*y - 15. Factor 0*b - 1145\/3*b**z + 10\/3*b**2 + 0.\nAnswer: -5*b**2*(229*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - -10) + (17 - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 510*a*i*r**2 + 2*a*r**2 + 296*r**2 wrt i?\nAnswer: 510*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 16450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7400804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.48 (b) 1\/4 (c) -1.5 (d) -0.2 (e) -1\/3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 484*l**4 + 3*l**2 - 497*l**4 + l - 7*l**2 - 1 to the form a*l + w*l**3 + d*l**4 + p*l**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 88. Find s, given that 944*s**3 - 487*s**3 - 478*s**3 - 9*s**b - 24*s**4 - 6*s**2 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13761987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 625, 1032, 1455, 1900?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55866 (base 10) to base 15\nAnswer: 11846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose 3*k = i*g - 0*k - 24, -g = -4*k - 20. Suppose 5*f = 4*p - 29, -g*f - 4*p = -2*p + 18. Sort 2, -3, f in decreasing order.\nAnswer: 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -b - 50, -b + 4*j = 26 - 11. Let s be (-605)\/b - 4\/14. Let g = 24 - s. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 5*r**3 - 5*r**3 + (-2 - 2 + 0)*(-66 - 37*r + 140 - 72 + 2*r**3) as n*r**2 + o*r**3 + p + i*r and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7343222 to the power of 1\/2, to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 198, 437, 888, 1617, 2690, 4173?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294802 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 1102?\nAnswer: 28652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 4) in base 6?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aayaassea. What is prob of sequence ae?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/170 - 97\/1530. Let c = 7 - 10. Sort f, -2\/3, c, 2 in decreasing order.\nAnswer: 2, f, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 351 = o, 0*g = -5*o + 2*g + 1742. List the prime factors of (-6)\/10 + o\/30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4 + h + 4*h + h**2 + h. Let o(r) = r**3 + 2*r**2 - 2*r - 4. Let y be o(-3). Let g = -10 - y. What is d(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183988181?\nAnswer: 13, 14152937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/4 - 1237025*y - 306046170125.\nAnswer: -5*(y + 494810)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(98\/21)*(-164)\/(-3321)*-24.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*p + 223*p - 538*p = 2464 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*d + 191 = 0, 20 + 143 = o - 5*d. Let r = 2 + o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2188, 1583\/21, 4 in increasing order.\nAnswer: -0.2188, 4, 1583\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/12 + (-4130)\/84)*-1. Suppose -76 - c = -5*s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30618 and 2187?\nAnswer: 30618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77110 is divided by 23812?\nAnswer: 5674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-2*-5 - (-3 + (sqrt(117))**2)*-6.\nAnswer: 120*sqrt(13) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7 + 1. Suppose -5*g - a*y = -132, -3*g + 80 = -0*y + y. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31489107.\nAnswer: 3, 13, 41, 47, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21029712 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -32 + 10 + 7 + 0 + 24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r)**(-1\/37)*r**(-41)\/r**(-12\/11) assuming r is positive.\nAnswer: r**(-81138\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 - 86*n + 4. Let l be a(15). Suppose 430*i + l = 446*i. Solve 0 = -0*v - i*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/87)\/(20\/(-30))*(-29)\/29.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3)\/9*-1*4. Solve x + 0 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4 - 4 - (2 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1464\/305)\/(183\/3050)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-108)\/(-20))\/((-15)\/(-25)). Solve -5*u + 22 = k, -i = -6*u + 3*u - 2*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Let x(t) be the first derivative of 0*t**3 + 1\/22*t**4 + 2 + 0*t - 2\/55*t**5 + d*t**2. Factor x(g).\nAnswer: -2*g**3*(g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2*j - 7. Let d = 0 - 12. Let c = -7 - d. What is the remainder when 13 is divided by x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 58. Let p = -31 - b. Solve -5*x - p = -35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200451958 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.05 + 2.413. Let t = 42.892 + -43. Let m = d + t. What is m rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + n)*(6444 + 1905 + 1291).\nAnswer: -19280*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -220 (c) 4 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 760747, 760731, 760691, 760615, 760491?\nAnswer: 760307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*s**2 - 576*s**2 - 785*s**2 in the form l*s**2 + a*s + h and give l.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1239 and -127\/8106?\nAnswer: 478254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-2) + (-3)\/6. Let v(k) = -k**2 + 6*k - 4. Let a be v(6). Put i, 0, a in decreasing order.\nAnswer: 0, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27324 divided by -3036\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1452 = 4*c - 5*t, 0 = 7*c - 12*c - t + 1844. Suppose 16 = 4*h, w = h - 4*h + c. Is w a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -7 + 6 + -8 - 6 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27875 + -84406\/3. Which is smaller: -259 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n + 9544 = 0. Suppose 5*g - 2*g = 12, 4*g = -3*f + n. What is f rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52837, 106885, 160933, 214981, 269029?\n\"Answer: 54048*s - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*4\/12)\/(3\/63). Suppose -1122 - 327 = -z*l. Suppose 0 = -3*x + 42 + l. What are the prime factors of x?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/60 + o**5\/60 + o**4\/8 + 3*o**2. Let x(v) = 2*v**3 + v**2 + 2*v. What is -3*x(k) + 2*y(k)?\nAnswer: -2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 166 = 68*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744068788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 158, 526, 1238, 2408, 4150, 6578?\n\"Answer: 19*v**3 + v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8*c - 87. Suppose -8 = -3*v - 3*m + 7*m, -3*v = 4*m - 16. Solve -16 = -3*w - 0*o - 5*o, -v*o = -3*w - c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1122\/5049)\/(2\/(-126))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**3 - 14*c**2 + 63*c - 37. Calculate t(3).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337282 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21540 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12380, 20, 3 in increasing order.\nAnswer: 3, 20, 12380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9243337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2 + 457668*c - 135662769 = 0.\nAnswer: 297, 152259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002913146802 rounded to five decimal places?\nAnswer: -0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2. Let o(p) be the first derivative of 11*p**3\/3 + 5. Calculate o(a(r)).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -780299 + 1180299. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494886047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28493 - -0.07.\nAnswer: -28492.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/135354 and -103\/10.\nAnswer: 676770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 14, -2, 168 in ascending order.\nAnswer: -41, -2, 14, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 15. Suppose -4*h - 10 = -j - 28, 3*j + 2*h - a = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -11. Let m be f - (1 - (5 - -2)). Find the third derivative of m*x**6 - x**6 - 6*x**6 - 2*x**2 + x**6 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 - (10 - 20)) - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:43 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/7, 5, 0.2, -3.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 + 8*d - 15. What is p(5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/229 - -6898\/1603. Solve 8\/7*u + 58\/7*u**2 - 8\/7 - j*u**3 = 0 for u.\nAnswer: -2\/5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/8)\/((-27244)\/(-2224))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 1255 = -70 - 515. What is the greatest common divisor of h and 3008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.021 and 832922?\nAnswer: 832922.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-25) + (-11008)\/(-560). Determine d, given that -74\/7*d**3 + 110\/7*d**2 + 75\/7*d + 15\/7*d**4 - l - 1\/7*d**5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.692 (b) -3 (c) -1\/2 (d) 0 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - -2 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.83425 rounded to one dp?\nAnswer: 154.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z + 1 - 3)*(3 - 4 + 0 + (0 + 2 + 1)*(-1 - 1 - 1) - 2 + 0 - 1).\nAnswer: -13*z + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 34018?\nAnswer: 34018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24109244 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330032, -330073, -330114?\nAnswer: -330155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:42 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 6)*(-1 + 1 + 1)*(0*r - r + 0*r)*(1 + 2*r - 1) to s*r + w + d*r**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + -4 - (-2 + -1*sqrt(19) - sqrt(19)).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(13\/2)\/i*i**(3\/5)*i*i**(2\/27)*i*i\/i**(-3\/5) assuming i is positive.\nAnswer: i**(2639\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:24 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4646782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238227*t**2 - 66476*t - 3 wrt t?\nAnswer: -476454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 7*l + 1 + 27 = -18*t + 15*t, -l = 2*t for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 259, -10.36, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250 = 3*b + 2*b. Let t be (-147)\/(-15) - (-6)\/30*(-1 + 2). Calculate the greatest common divisor of t and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5 - 5*f**2\/2 - 7. What is the second derivative of s(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 + 17*h - 101. Determine q(-8).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2755*i + 9761. Let s be q(-10). Is s at most as big as -17791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*f + 10. Calculate the smallest common multiple of f and (-6)\/(-21) + 660\/42.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 8 + x**2 - 1\/2*x**4 + 0*x + 3\/5*x**5 - x**3. Factor n(l).\nAnswer: l*(l - 1)*(l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 415. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2\/22 + 0). Suppose 0 = -2*z + 5 + b. Find the second derivative of -3*w**4 + z*w**4 + 5*w - 14*w**4 wrt w.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-28)\/12)*-9. Let n(m) = 2*m - 1. Calculate n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/(-39))\/((-3)\/(-2)). Let j be 64\/24 - (-2)\/(-1 + 7). Let u be (-1 + j)\/(15 - 0). What is the smallest value in u, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*k = 10371 - 4302 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578 and 2312?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o, 0 = b + 5*o - 0*o + 15. Let m be 30\/b*8\/(-6). What is the third derivative of -3*t**2 + 2*t**5 + m*t**2 - t**2 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2265 + -728. List the prime factors of b.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*l + 232, -10*l - 12 = -13*l. What is the remainder when 59 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(-10892)\/(-56) - -17. Which is smaller: -1547 or u?\nAnswer: -1547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -578015 or 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152123394593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, q: 6, g: 2, y: 1, b: 4}. Give prob of sequence ebeq.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 26*i - 320 = 0. Sort 222, 0, i in descending order.\nAnswer: 222, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20100 and 1800.\nAnswer: 120600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10003 or -10002?\nAnswer: -10002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -277*n**3 + n**2\/2 + 107*n. Is v(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 12*x**2 + 29*x**2 - 125*x**3.\nAnswer: -125*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 0.0856?\nAnswer: 0.15408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlh when three letters picked without replacement from {h: 2, k: 12, l: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzg when three letters picked without replacement from gudjz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*k**3 + 12*k**2 + 195*k - 235876 wrt k?\nAnswer: -18*k**2 + 24*k + 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 612 - 233. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -66\/95 and (-52 + 32 - (-1 + 1)) + -5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 47b57?\nAnswer: 47b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.8, 1\/2, 3\/8, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i**4 - 13*i**4 + 47*i**2 - 46*i**2)*(0 + 3 + 0).\nAnswer: -93*i**4 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1236 - -1.\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u - 55 = -4*l, -3*u = l - 10. Solve 9 = z + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8)\/p*p\/p**(-7))\/(p**(-22)*p**(1\/5)\/p) assuming p is positive.\nAnswer: p**(1207\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d**2 + 54*d**2 - 3*d + 3*d.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 9 - (-1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/((4\/(-8))\/(483\/(-207))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24293169 divided by 1?\nAnswer: -24293169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58218 and 67608?\nAnswer: 2095848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14024.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -29. Let k = 95 - v. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 679, 3, 5, 2, 4.\nAnswer: 2, 3, 4, 5, 679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14114 divided by -220?\nAnswer: 7057\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35cb + 87?\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256459 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11834215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 334.2 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*n - 33, 3*n - 7 = u - 5*u. Let h be (-6)\/u*(-6)\/18. What are the prime factors of (-2 + 1)\/h - -5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/419977 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 2, a: 3, o: 2}. What is prob of sequence eeo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38599*f**2 - 257*f**3 + 38599*f**2)*(3 + 0 - 5)*(-4 + 3 - 1) + (4 - 4 - f)*(-2 + 2 - f**2) in the form o*f**3 + y*f + h*f**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993*t - 39 = 2006*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23249 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 1264*w - 435967. Give c(-282).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m**14*m*(m*m*m*m*m\/m**1)\/m)**16 assuming m is positive.\nAnswer: m**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -149 - -5?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*h = 17, 5*h + 25 = 4*t + 7. Let k = t - 6. Find the common denominator of -45 and (-325)\/(-90) + k\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11465 - -11465. Solve 29*v + 103 + 71 = d for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*n + 5*x, 2*n + 11 = -5*x + 4*x. Suppose -21*o = -o + 80. Is n at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3. Let o(h) = 44*h - 72. Let j(n) = -o(n) + 24*x(n). Let f(z) = 5*z**2. Calculate j(f(y)).\nAnswer: -220*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 + 2)*(-2*m + 3*m + 0*m) - 4*m + 9 - 9.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869909 is divided by 321.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2294.3474 - 2035.35. Let n = v + -259. Round n to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1132230 and 876?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 31 = 4. Let s = l - 30. What is the closest to 0.1 in -1, -13, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/150 + r**4\/90 + r**3\/9 + r**2\/5 + 19*r - 7. Let d(o) be the first derivative of c(o). Let d(a) = 0. What is a?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + o + 11943. Let t(u) = 20*u - 10. What is -8*n(a) - t(a)?\nAnswer: -12*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**10*(m\/(m\/(m**0*m)*m))\/m assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Let t = -834 - -836. What is the third biggest value in t, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13\/9, 1\/12177, 2\/17.\nAnswer: -0.2, 1\/12177, 2\/17, 13\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0441, -37.12, 0?\nAnswer: -37.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (2 + 6 - (-80 + 75)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46428489?\nAnswer: 3, 5158721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.396149 and -2.\nAnswer: -54.792298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 2) - (-13 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1106 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690814?\nAnswer: 2, 211, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35962 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31232 - 0?\nAnswer: -31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -88. Let t be (-18)\/(-4)*(-4)\/(-6). Factor 50 - 2*s**2 - 8*s**4 - 50 - m*s**t.\nAnswer: -2*s**2*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*o - 25, -3*f + 4*f - 5*o = 5. Let w = 29 + -33. Let v be -7 - (-3 - w\/(-4)). Put v, f, 0 in decreasing order.\nAnswer: f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(19\/((-171)\/(-6)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143, 1179, 3979, 9419, 18375?\n\"Answer: 146*j**3 + 6*j**2 - 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 4*t + t)*(4 - t**3 - 4) + 32*t**4 - 2*t**4 - 127*t**4 to f*t**3 + r + l*t**4 + j*t + c*t**2 and give l.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1248*v**3 - 17*v**2 - 17*v - 1. Does 29 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 193, -492, -2989, -8204, -17043, -30412?\n\"Answer: -151*p**3 + 372*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485*b**2 - 205*b - 1 wrt b?\nAnswer: -970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 55*x - 54. Solve x*z + 674 = 684 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Suppose -3*f - 59 = d, 3*f + 105 = -j*f - 3*d. Let t = f - -45. Calculate the remainder when 80 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-7*(5 - 7). Let w be (-7)\/(a\/(-4)) + -2. Solve w = 5*g + 3 - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(91)\/sqrt(7))*4.\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67044 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 1 + 1 + (1 + 0 - 2)*(-4*s - 41 + 85 - 41).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 2. Let w(m) = 5*m + 9. Let r(t) = -18*o(t) + 4*w(t). Let f(q) be the second derivative of -q**4\/12 + 19*q. Give r(f(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1170.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-882)\/28)\/21)\/4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*r**2 + 10*r - 4*r**2 - 12*r - 2 in the form g + f*r**2 + c*r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3713166*l + 3713160*l - 6, 4*l + o = -5 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 192ac2 - -7?\nAnswer: 192ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10071, -79883, -269337, -638253, -1246451, -2153751?\nAnswer: -3419973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c\/(c*c*c*c**(7\/6)\/c)*c)*c)*c*c)\/c)\/((c\/c**3)\/c)*c**(1\/5)\/c**5)**(-3\/2) assuming c is positive.\nAnswer: c**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:16 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27559423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*a - 2555, -a = -w + 3*a + 2560. Suppose 0 = 5*s + 2*o - w, -s - o + 6*o + 508 = 0. Is 65 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + 2 + sqrt(720)\/sqrt(9))**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - l**2 - l**3 - 4*l**2 - l**4 + 2*l**2 + 13 to the form i*l**2 + v*l + u*l**4 + y*l**3 + j and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138134, 279737, 421340, 562943, 704546, 846149?\nAnswer: 987752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 466, 1, -185, -0.16, -5\/3?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 9 + 4)*(q**5 + 0*q**5 - 3*q**5) + 6*q**5 + q**5 - 12*q**5.\nAnswer: 29*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3*a + 41. Calculate r(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4\/(-2)) - (-172 + 172).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*h + 3 = -6, 0 = 5*m + 5*h - 45 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*p + 505*p - 1008*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m**3 - 33*m**2 + 33*m**2 + 30*m**3.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -215c4?\nAnswer: -215c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14605 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-8))\/(4698\/12528).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 638 - 1160. Let v be (-3)\/6*(61 + 1). Let f = z - v. Solve -2*t - f*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 279 - 4*j**2 + 279 - 8*j**2 + 2*j**2.\nAnswer: -10*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.07095209 - -65\nAnswer: 65.07095209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22538.74 micrometers in kilometers?\nAnswer: 0.00002253874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.03. Let z = -1 - u. Which is the second biggest value? (a) 1\/2 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 11*c**2 - 17*c + 13. Let f be ((-3)\/4)\/(5\/60). Let j be t(f). Solve 4*n + x - 3 = 0, j*n + 0*n + 4*x - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 3*i - 825, -k - 4*i + 263 = 0. Let s = 287 - k. What is the remainder when 62 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/15 + (-3 - (-19534884)\/60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 10*j**2 - 2*j - 14. Let y(g) = 3*g**2 + 32*g + 9. Let c be y(-13). Suppose 10*m + c = -0*m. Let x be w(m). Solve x*v = 5*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgxvowlv. What is prob of sequence wl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 3*d**4\/2 - d**3\/3 - 17*d**2 + 23. What is the second derivative of p(w) wrt w?\nAnswer: 36*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 52*h + 13. Give d(-14).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28365 rounded to 3 dps?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 + 0.12. Let p be -1 + (-74)\/(-20) - 10\/4. What is the smallest value in p, -6, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k**(-1\/4)*k)*k)\/k)\/k)**(1\/13)*((k\/k**(2\/21))\/k)\/k**(-6\/5) assuming k is positive.\nAnswer: k**(6137\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 - 2 = 0. Suppose -2*g - 20 = -j*g. Solve 4 = k + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 104*w + 309. What are the prime factors of f(-51)?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -188, -170, -152, -134, -116?\n\"Answer: 18*m - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 501 + -432. Calculate the remainder when 478 is divided by b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {a: 2, y: 1, g: 2, h: 2, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2312011101 (base 4) to base 10\nAnswer: 745809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 47. Let f be s(-7). What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -531, -493, -455, -417?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273644 is divided by 1347?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1*(-14)\/2. Let a = -695 - -700. Put a, o, -3 in decreasing order.\nAnswer: a, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwbmwbbwmj. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3505)\/10 + 6\/12. Let r = 349 + d. Let t(z) be the first derivative of 3*z**4\/2 - z**3\/3 + z**2\/2 + z + 3. Give t(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.1907 less than -270?\nAnswer: -144.8093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427 - 189. Calculate the greatest common factor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41441783.\nAnswer: 29, 1429027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9010 (b) -0.1 (c) -5\/22 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -122544 divided by 666\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 953054 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12250 and 8722.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 5. Let o be v(-4). Let i be -2 - (o + (-14)\/4). Let g be -4 - -5 - 11\/6. Which is the second biggest value? (a) i (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 295426 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*p - 2, -6*p + p - 4 = -4*u. Let j(t) = -6 + 5 + 2*t + u. Let x(v) = -v. Calculate j(x(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7428728 plus 0.74554?\nAnswer: -7428727.25446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.16 (c) -170886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*p - 16 = -1291*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.881 * 5\nAnswer: 9.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.09, 2\/25, -32610?\nAnswer: -32610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6882893*r**3 + 3*r**2 - 658928587*r?\nAnswer: 41297358*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32750 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 6*v + 6. Let i be z(6). Suppose 0 = 4*o - i*o + 20. Let t be 3*2 - 0\/(-5). Solve -5*a = -5*q + o, -a + 2*q + 0*q = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsllwlllllllwllll. What is prob of picking 2 w, 1 s, and 1 l?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 365, -861, -2087, -3313, -4539, -5765?\n\"Answer: -1226*d + 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -29 + 35. Suppose s = 2*h - 0*h - 7, 3*s + u*h = 15. Which is the second biggest value? (a) 4 (b) -0.9 (c) -2\/9 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 8*y**2 + 31*y + 17. Let c be u(-9). Put c, -3, -2, -1 in decreasing order.\nAnswer: -1, -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -8*r - 3*p, 2095*r + 4*p = 2092*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -4*n + 291, 0 = 3*n + 3*r - 213. Let x(b) = 2*b**2 + 1. Let a be x(-1). Suppose a*j = -j + n. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*n - 6. Suppose 5*t - 456 = t. Suppose 2*c + 317 = w + 4*w, -2*w + 4*c = -t. Calculate the highest common factor of w and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 11*y + 8 = 18*y, 2*y - 4 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146263 divided by -43.\nAnswer: 146263\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724998 is divided by 548?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/20 - 17*r**4\/12 - 95*r**3\/6 - 175*r**2\/2 + 4*r - 163. Find m such that j(m) = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -184*w**4 + 788*w**3 + 3424*w**2 - 12428*w - 6960 = 0.\nAnswer: -4, -1\/2, 87\/23, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 17498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37352?\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 3830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -593837.\nAnswer: -593837.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 567415 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -2*q + 3*q. Let v be (-27)\/(-36)*8\/6. Solve 5*x - r - 2 = q, -5*x - 3*r = 5 + v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -11, -7, 19, 79, 185?\n\"Answer: 2*g**3 - 7*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-22))\/(3\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007905953 rounded to 7 dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 - t**2 + t**2)*(18468*t - 31946*t - 18624*t) in the form v*t**3 + b*t**2 + h + f*t + q*t**4 and give q.\nAnswer: -32102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h - 2 + 1\/3*h**3 - h**2 + 0*h**4 - 1\/30*h**5. Let m(a) be the second derivative of i(a). Suppose m(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5)\/((-46 - -83)\/592)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/5)\/k)\/k)**(2\/21)\/(k**(1\/3))**(4\/11))\/(k**(-8)*k**(-6\/5)*k*(k*k**0*k)**(-1\/9)) assuming k is positive.\nAnswer: k**(5713\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.54 + 0.24. Which is the third smallest value? (a) 18 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 13*o - 15*o + 9*o.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 183. Suppose -4*a + 7*a - 21 = 0. What is the third biggest value in a, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840056361 to the nearest integer?\nAnswer: 28984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - -1) + (-2 - (67 - 52)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 7}. Give prob of sequence wjj.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225769406 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4568 at least as big as -3537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6923, -13845, -20769, -27695, -34623, -41553, -48485?\n\"Answer: -b**2 - 6919*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44\/41 - -3541\/205. Let k = -557\/35 + z. Let w = -5.5 + 5.7. Which is the closest to w? (a) k (b) -2\/5 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxnnxnnx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0 = -4*f + 6, -4*f = a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9660)\/(-460)*(-1)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*b = -2306*b + 77598 + 13933 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16032062 + 1016?\nAnswer: -16031043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = 180 - 564. Let o(a) = -2*a + 9 - 6 + l - 5 + a. Give o(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1215) + sqrt(1215)*-2 - sqrt(1215)) - sqrt(1215))*2)\/((-6*sqrt(225))\/((sqrt(5) - sqrt(80))*-1)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 88?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -2\/11, -11, 1 in increasing order.\nAnswer: -11, -3\/5, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260683423 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: Rearrange (-3*s**2 - 36 + 4*s**2 + 10*s + 34)*(3*s + 0*s - 5*s + (-1 - 2 + 2)*(-1 + 2*s + 1)) to v*s**3 + d*s + u*s**2 + a and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*r + 29*r - 102*r + 5)*(-7*r + 33*r + 0 + 1) to v*r**2 + b*r + w and give b.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by -4\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 3*x**3 + x**3)*(-179 + 53*x + 179) - 3 - x**4 + 3.\nAnswer: -107*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314 + -302. What is the smallest common multiple of y and 82?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13937832571 + 13937832672.00000099. Let l = k + -101. Round l to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 38*p - 216 = 0. Calculate the least common multiple of p and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.52 + 4.82. What is the third biggest value in w, -0.2, -0.11, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 41 = -14*u, -35 = 5*x - u - u - 88 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11948*y**2 + 64 + 55 - 119 + 59908*y**2.\nAnswer: 71856*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1415438 + -7.5\nAnswer: -1415445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-114)\/9)*(3 - 6). Let l = w - -48. Let k(c) = -c - 1 - 15*c**2 + l*c - 19*c**2 + 35*c**2. What is k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y + 10. Let f(o) = -16*o - 15. Let h(a) = 5*f(a) + 7*u(a). Suppose 0 = 4*r - r + 15. Calculate the remainder when 19 is divided by h(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171070.\nAnswer: 2, 5, 181, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 69. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 + 1)*(1 + 2 - 2)*(37 + 10*k**4 - 37).\nAnswer: 180*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176*i - 3*r = 1177*i + 21, i + r = -21 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371*4\/(-168)*-6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-12) + 6 + -10. Which is the second biggest value? (a) -0.4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:03 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o. Let w be h(3). Solve -2 = 5*p - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + 3 + 2 + -3. Let u be -1*5 + (-14 - (6 + -27)). Find the third derivative of 6*v**3 + 9*v**2 + g*v**u - 32*v**6 - 6*v**3 wrt v.\nAnswer: -3840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 545883\/65*1430\/66 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 755 = -4*b, 3*j + 490 = 6*j + 5*b. Solve 6*o = -25*o + j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:40 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:01 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 12. Suppose 4*j = -20, -2*h + x*j + 18 = 4. Let n be -4 - h - (-6)\/7. What is the closest to -0.1 in n, -4, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5 + 7056*w**4 + 49270*w**3 - 84560*w**2 - 197112*w + 225344 = 0.\nAnswer: -3521, -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from vvhxv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17257 - 14689. Do p and 2566 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 2*(5 + -1 + sqrt(275) - sqrt(275) - (sqrt(275) + 2 + 4)))*2.\nAnswer: -80*sqrt(11) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401158 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 6 - 13*a + 4*a.\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*n + 44*n**4 + n**2 + 35*n**4 - 69*n**4 wrt n?\nAnswer: 120*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21 + (221 - 21))\/((-2)\/8*-2)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3\/22, 2, -0.2, 0.342, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 63691.8 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 262?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(-2)*96\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256438 is divided by 516.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let j = 22 + -20. Let g = 0.9 - 1. What is the nearest to j in g, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + -3*(sqrt(72) + sqrt(72)*-1)**2 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 - -144. Solve 4*d - u*d + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/50 - q**4\/30 + 2*q. Determine z, given that c(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -5. Suppose -2*g + 8 = 4*y - 18, -3*g = -2*y - 23. What is the lowest common multiple of j and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2315341 - 2?\nAnswer: -2315343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29123510 times -18?\nAnswer: 524223180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218907?\nAnswer: 3, 13, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.44837 litres to millilitres.\nAnswer: 95448.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138796352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 23432?\nAnswer: 492072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -243, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111202 + -101201200?\nAnswer: -112020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c + 137*c - 91*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.84957\nAnswer: 5.09742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.06, 1, -0.237, -1.15?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u)\/(u\/u**(-2\/13))*(u*(((u\/(u**1\/u))\/u)\/u)\/u)\/(u**(-5)\/u) assuming u is positive.\nAnswer: u**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 30. Let u(y) = -y**2 - 8*y - 6. Let o be u(-7). Let g be -1 + o - 2\/(-1). Solve g*f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y. Let j(d) = -d + 4. Let o be 0\/(3*1\/3). Let r be j(o). Solve y = 5*b - 5*p + 10, 6*b - b + 6 = r*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 - 252 = 148*f. Sort 0, f, 1582.\nAnswer: f, 0, 1582","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 - 18 = 4*z. Suppose -6*r - 410 = -r. Let p = z - r. What is the greatest common divisor of p and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + sqrt(99) + 0 + sqrt(99) + sqrt(44) + 2 + (sqrt(11) + sqrt(704) + -1 - sqrt(11))*-2.\nAnswer: -7*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0 + -2 + (-206 - -211). Solve -4*s - 32 = 5*g, -5*g - 15 - 14 = c*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2 (c) -2\/7 (d) -3 (e) 1.4 (f) 143344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -235840 divided by -1340\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 227 (base 10) to base 11\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 19*u**2 + 23*u - 4. Let x be p(-17). Let q = x - -67. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132946947*a**5\/5 - 132867063*a**4\/5 - 133026819*a**3\/5 + 132867051*a**2\/5 + 79872*a\/5 + 12\/5 = 0. What is a?\nAnswer: -1, -2\/6657, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*t - 167, -t + 246 = 4*u + 91. What is the remainder when u is divided by (-2)\/(2 + (-28)\/13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107262 and 7434.\nAnswer: 750834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**3 - 31*v**2 + 35*v - 2. Let i be a(1). What is the third smallest value in 3, -7.39, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 68 = 4*t, 4*t + 22 = 2*r - t. Solve -25*p + 16 = -r*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52726, 210575, 473646, 841939?\nAnswer: 1315454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v + 356. Let h = v + -114. Suppose 6*s - 8 = h. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/96 <= 66.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9837 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 9*u - 3. Let t(o) = -7*o**2 - 17*o + 7. Let i(p) = 5*d(p) + 2*t(p). Let a be i(-11). Which is smaller: 1\/14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 - 507*w + 19. Let y(x) = 6*x**2 - 254*x + 10. What is -5*d(z) + 9*y(z)?\nAnswer: -z**2 + 249*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 8*i - 4*w + 32, -i - 4*w + 17 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d - 62*d = 1. Suppose 2*v - 26 = -5*a, -4*v - a = 3*a - 28. Suppose -3*t + 103 = -4*s, -v*s + t - 9 - 62 = 0. Sort d, s, -2 in descending order.\nAnswer: d, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -18*b + 40. Sort -5, 0, -4, b in decreasing order.\nAnswer: b, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 81 = 4*d - 3*w, c*d - 6*w = -9*w + 87. What is the remainder when d is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379904 a multiple of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*r - 80*r - 181 = 0. Let y = r + -908\/5. Let o = -2 - -1. Sort y, 3, o in descending order.\nAnswer: 3, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372761317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 30\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3691 (base 11) to base 5.\nAnswer: -123234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1384, 1383, 1382, 1381?\n\"Answer: -n + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + n - 4 + (0*n + 2*n + n)*(34 - 66 + 25) in the form d*n + b and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 363*k**2 + 321 - 321 + (2*k**2 + k**2 - 2*k**2)*(-2 + 0 - 1) + (4 - 4 - k)*(-6*k + 3*k + 0*k) in the form p*k**2 + o + v*k and give p.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**2 - 8*l - 1. Let o(n) = -7*n**2 + 5*n. Let m(p) = 10*o(p) + 6*t(p). Give m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 11. Let o be z(8). Solve n - 6 = -2*d, 0 = 6*n - 2*n + o*d - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 80380*u - 1527270. Give n(19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7077423 and 11826.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 + 0.61. What is the closest to -2\/9 in -2\/5, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + 0.3. Let u = -2.7 - -2.5. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:33 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 - 191. Let x = 877 + -875. Which is the closest to x? (a) -4 (b) p (c) -2\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -39. Let i = 4799 - 4624. Calculate the remainder when i is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.38 - 2.3623. Let i = 0.0265 + x. What is i rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**3 + 168*c + 530*c**2 - 12*c**3 - 1288*c + 160 - 41*c**3.\nAnswer: -5*(c - 4)**2*(13*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, v: 1, r: 2}. What is prob of picking 1 r, 1 n, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16038253, 16038251, 16038249, 16038247?\n\"Answer: -2*j + 16038255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7215*d + 44583 = -6636*d for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppcpcp. Give prob of picking 2 p.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 565*t**4 + 63525*t**3 + 1044875*t**2 + 2698580*t + 1716660 = 0 for t.\nAnswer: -54, -17, -2, -1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 8101\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*g**2 + 140*g**2 - 29*g**4 + 868 - 3*g + 139*g**2 - 426*g**2 wrt g.\nAnswer: -348*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**9\/30240 - t**8\/4480 + t**7\/2520 - t**4\/4 + 8*t. Let s(g) be the third derivative of p(g). What is v in s(v) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -12\/781 (b) -2 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 20, -19 = -3*w + 4*d - 3*d. Solve n - 30 = -w*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 7*x**2 + 2*x + 7. Let j be m(4). Sort -5, j, 5, 6 in ascending order.\nAnswer: -5, j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*b + 189*b + 15000 = -492*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5996 + 2?\nAnswer: -5994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z + 5*q - 43, 2*q = -z + 19. Suppose 7 = 5*u - 3, 0 = -4*w - 3*u + 22. Suppose z*d = 7*d + w. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2 - p - 34 - 2*p. Let l be d(-16). Solve g - 2 = l, 4*g + 0 + 7 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeoy when four letters picked without replacement from yoeyeoyoeoeyyey?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 - -3)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*t - 63*t + 4*t + 57*t.\nAnswer: 626*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/((-2)\/(-10)). Let i(w) = -w - 3. What is i(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**5\/120 - 2*j**3\/3 - 43*j + 54. Let d(u) be the third derivative of f(u). Let m(n) = 60*n**2. Give m(d(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*k - 76*k - 100. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**5\/5 + 12*m**4\/5 - 24*m**3\/5 - 12*m**2\/5 + 18*m\/5 = 0. Calculate m.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 88*y**2 + 18*y - 1584. Let z be g(88). Let l = 187 + -201.3. Is l greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a - 6963 = -2*n - 70*a, 4*n + 5*a = 13937. Let x = -2115 + n. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**3 - 190*b**2 + 1669*b - 22. Let a(p) = -6*p**3 + 63*p**2 - 556*p + 8. Let r(f) = 11*a(f) + 4*z(f). Find the second derivative of r(x) wrt x.\nAnswer: -60*x - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41143893, -82287786, -123431679?\n\"Answer: -41143893*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641153 (base 8) in base 10?\nAnswer: 737899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddwdwddw. What is prob of picking 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 2 - 2 + 3, -3*b - 2*l + 18 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*q = -5432, 4*m = q + 514 + 4909. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**2 - 3*d**2 - 2*d**4 + 0*d**4 + (2*d**2 - 5*d**2 + 2*d**2)*(-2 + d**2 + 2) - 4*d**4 + d**4 + d**4 - d**4 + d**2 - d**2.\nAnswer: -6*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -4)*(8 - 50\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21528 divided by 3?\nAnswer: -7176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89064, -356131, -801230, -1424361, -2225524, -3204719, -4361946?\nAnswer: -5697205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1015 + -a?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from hqqtqhhtqtt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10414, -10222, -10020, -9808?\n\"Answer: 5*d**2 + 177*d - 10596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -27650534373490?\nAnswer: 27650534373479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05564064 to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - 2.2. Let y = p + 0.5. Let s = -26 - -27. Sort y, s, -3 in descending order.\nAnswer: s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/56*-6 + 50\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6265744 and 164888.\nAnswer: 6265744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 16*w - 13. Let k be a(9). Find r such that 12*r**k + 111*r**2 + 5*r**4 + 43*r + 6 + 2*r + 58*r**4 + 123*r**3 = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 + 75 + 42817*c - 6630*c to the form x + m*c and give m.\nAnswer: 36187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2266, -4121, -5986, -7867, -9770, -11701?\nAnswer: -13666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 + 336. Let s(g) = -285*g + 41. What are the prime factors of s(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 45 = -2*z, 2*i = z + 4*i. Let j(m) = -236327*m**2 + 17*m - 18. Let u be j(-16). Let y be u\/5 - z\/(-25). Round y to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4109110602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 821687102817.\nAnswer: -821687102807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -43*v - 435. Let p be j(-9). Which is the closest to 1\/4? (a) p (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -29*j + 21. Let z be m(-9). Let i be 4 + z + (-1 - -1). Suppose -287*s + 218 = -i*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 4*t + 4. Let h(u) = 17*u**2 - 18*u + 18. Let z(w) = 2*h(w) - 9*o(w). Let f(v) = -34*v + 38*v - 30*v. Give f(z(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -7*l**2\/2 + 64. Suppose 0 = v + 10 - 6. What is r(v)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = d - s - 2, 4 = 2*s. Suppose -11*n + 180 = -d*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189104837?\nAnswer: 293, 645409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-30) - 2\/5. Suppose -5*m + x + 28 = 0, 0 = -f*x - 2*x - 6. Solve -5*r - m = c + 4*c, -3*c = -r + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/32544 and -121\/8640?\nAnswer: 976320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2759\/2651 + -31030897\/413556. Let p = s - -297\/4. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 25 + (-1 - 5 - 0) + -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -134. Let m be 2 - (-30 - 0)\/2. Let r = m + n. Solve -4*o - r*v + 42 = 6, 3*o + 4*v - 31 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 0)*6 - (-4 + sqrt(98) + -4)) + (sqrt(98) + -1 + sqrt(98) + -2 - (2 + sqrt(98))*-6)*-1)**2.\nAnswer: 196*sqrt(2) + 19209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 158, 4, -3, -5 in descending order.\nAnswer: 158, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101010110011111 - 100001100010?\nAnswer: 110100110100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-238)\/(-4) + (-3)\/(-6). What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 - c**2)*(-4*c + c + 5*c + (-1 + 1 + c)*(-1 + 2 - 2) + 4*c - 2*c + 2*c)*(17*c + 12*c + 8*c + (0*c - 4*c + c)*(3 - 1 - 1))*(2 - 1 + 0).\nAnswer: -340*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.43 * 243.89.\nAnswer: -592.6527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008068 rounded to five decimal places?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**4 + n**3 + 1. Let s(c) = -4*c**4 - 4*c**3 - 6*c - 4. Let o(t) = 4*l(t) + s(t). Find the second derivative of o(f) wrt f.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (15\/(-5) - -6). Solve 5*k = -3*s - 9, 3*s - 2*k = a*k - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 391 = 2*l, z - 783 = -4*l. Let g = l - 139. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 802856.9 millilitres?\nAnswer: 802.8569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/(f\/((f\/(f\/(f*f**(-2\/15)*f*f)))\/f*f))))\/f*f)*f*f\/f**(2\/19))\/(f**(-5)\/(f\/(f\/(f*f*f**2*f)))))**(2\/65) assuming f is positive.\nAnswer: f**(8414\/18525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t - 61. Let z be l(-9). Suppose -2*r + 482 = -4*j, -3*j - z*r = -r + 359. What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -8*b + 3002. Let l = 39006\/13 - b. Let k = l - -107\/78. Sort 0.2, 2, k in decreasing order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166839 by -5.\nAnswer: -166839\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 967059.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 4092872 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 10\/41?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 4*b**2 - 3*b - 1. Let c be o(-2). Let l = c - -40. Let z(g) = g**3 - 6*g**2 - 5*g - 9. Let s be z(7). Solve -s*p - 7 - l = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624232 divided by 1778\nAnswer: 44588\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523220.\nAnswer: 2, 5, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:07 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*387\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -53. Is 1042\/(-3)*v\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*l - 18, -7*l - 4 = -3*l. Suppose z*w + w = 110. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(4) + sqrt(12)\/sqrt(3)) + 4)*-2 + sqrt(396) + -1 + 5 + -5 + -1)**2.\nAnswer: -100*sqrt(11) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -13) + -4 - (3 - 1) - 19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961198905 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((57794\/(-33))\/(-71))\/((-7)\/(63\/6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1135182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 267267192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 238040*h**2 + 238040*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 8507.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 14*m**2 + 4*m + 9. Is 8 a factor of w(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-660) + (-576)\/3105\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4018)\/(-686) - (7 - (0 - -1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -14145515.\nAnswer: 84873090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 14\/(-35). Suppose w + f*w - 259 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 + 26?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8211.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45170 + 97694. Round y to the nearest one hundred.\nAnswer: 52500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 0*z**2 + 1\/21*z**7 - 1\/6*z**4 + 0*z**3 + 0*z**6 + 0*z**5 - 3*z. What is the third derivative of v(i) wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-4*b + 3*b - b)*(1921*b + 1992*b - 4253*b) + 5*b**2 + 5*b**2 - 14*b**2.\nAnswer: -684*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((210\/(-4))\/3)\/((-2)\/4). Suppose 5*n - 26 = 4*j, 0 = -5*j + 3 + 2. Factor -3*m**2 - 3*m**2 + 9*m - 47*m**3 + n + 3*m**5 + h*m**3.\nAnswer: 3*(m - 2)*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(4 + 6\/4). Let o = 86 + i. Suppose -5*d - 9 = o. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) - 182\/(-28). Let j be (0\/(-4 + d))\/1. Suppose j = 4*h - 120 + 24. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -4 (c) -1\/230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1114*x**2 - 134786*x - 960. What is v(121)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**(-24)*(b*b**1)**(-5))**(-13) assuming b is positive.\nAnswer: b**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17\/3 (b) 0.1271 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rneereneng. Give prob of sequence err.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -1. Suppose d = r - 1. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 608605 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75475837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*i + 17 + 23, -4*y = -2*i + 52. Calculate the greatest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*w + 96 = -68*w. What is the highest common factor of 81 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 + 2*z - 1. Let d be k(-3). Let w = d - -32. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 14*g + 13. Let s = -10 - -3. Let l = s - 3. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 4*j**2 + 5. Let n be u(3). Let y = -0.66 + 0.63. Which is the closest to y? (a) 0.2 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - t + 255 = -1257, 0 = -4*a + 5*t + 1536. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 3*i - 14, -18 - 18 = 5*u - 2*i for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7444846.\nAnswer: 2, 19, 107, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4 - 3 = r - 3, -6*n + 2*n - 29*r = 149 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065.87 kilograms in nanograms?\nAnswer: 3065870000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5 + 2 + a - 5. Let y be o(0). Let l(t) = -y*t**2 + 5 - 5. Let r(g) = 2*g. What is r(l(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 11*n + 47. What is f(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w. List the prime factors of d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30636041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*x + 3540*x = -350*x - 796*x + 109641 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - o - 23, 3*o = 3696*v - 3700*v + 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 9, -6, -33, -72, -123?\n\"Answer: -6*b**2 + 15*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181189.\nAnswer: 37, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = 135. Let n = 75 + g. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-17.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r - 9. Determine h(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 7. Suppose d - j = 2*u, -29 - 24 = -5*d - 2*u. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r**(5\/2)\/r)\/r)\/r))\/((r\/r**(2\/7))\/r*r*r)*r**(3\/2)\/r**7 assuming r is positive.\nAnswer: r**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14 = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/72 - h**5\/12 + 5*h**4\/3 + 5*h**3\/6 - 13*h. Let b(d) be the second derivative of k(d). Factor b(v).\nAnswer: -5*(v - 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*q - 33 = -4*b, -q = -5*b + 29. Calculate the remainder when ((-4)\/6 + 2)*12 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h + 35 - 76 + 40 to x*h + c and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 335*k**2 - 21*k**2 - 94*k**2 + 330*k**2 to y*k + h*k**2 + p and give h.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -9*r + 3, -23*r + 20*r - 9*r + 4*k - 60 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*r = k - 8, 0 = 5*k - 4*r - 6. Let c(g) = -22*g + 11*g + 11*g + 11*g**k. Let v(o) = -o**2. Give c(v(s)).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*j**3*m**3 - j**3 - 7*j**2*m*r + 11*j*m**3*r - 29*m*r wrt m.\nAnswer: 264*j**3*m + 66*j*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41837.\nAnswer: 17, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 17*r - 102. Determine z(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/406 and -13\/11.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 - 211. Let d = r + 18. Suppose 5*u + d = 4*c, -2*u - 8 = -4*c + 118. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 15) to base 6\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let i(o) = 200*o. What is i(u(j))?\nAnswer: 400*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02794 plus -3595324722?\nAnswer: -3595324722.02794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3*(-81)\/(-18). Which is the nearest to 2\/3? (a) 0.1 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053301 rounded to six dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43303030 is divided by 696.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/12*-57*63\/122094?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**4 - 9*w**4 + 15*w**4)*(-2 - 2 + 3)*(12*w - 2*w - 9*w + (0 + 0 + w)*(-1 - 3 + 2)).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:13 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w - 260. Let h be c(17). Is h at least as big as 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76 and -0.01?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 63466.43um?\nAnswer: 0.00006346643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94732 + 0.05268. Which is the second biggest value? (a) -0.2 (b) 2 (c) f (d) 0.07 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 83.9. Let n = -10\/7 - -11\/7. Let g = -4 + 9. Which is the nearest to s? (a) -1\/2 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*z - 3 = 0, 216*c + 4*z - 11 = 217*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxexeexxxeexx. What is prob of sequence exx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*q + q - 22, 10 = -2*a + 4*q. Let u be 6*(0 + 11\/(-2)). Let i = 38 + u. What is the second biggest value in -2\/9, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u + 15482 + 3*u - 15499. Let a(o) = o + o + 0 + 3. Calculate 34*a(n) + 6*v(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26460 times 0.1?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 133 = -2*l + 370, 0 = l + 2*s - 234. Suppose -2*c = -3*i - 126, -4*c - 2*i = -4*i - l. What is the greatest common factor of c and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-4))\/(51\/(-136)). Suppose 2 = n*j + 26. Let v(l) = -2*l**2 - 2*l + 1. Let s(q) = q**2. What is j*s(p) - v(p)?\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31923006 and -2?\nAnswer: 63846012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -10. Let b(k) = -3*k + 34. Let m be b(0). Let n = -20 + m. What is the highest common divisor of n and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84001569 and 13347.\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24.27348 minutes?\nAnswer: 1456408800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52701662 to the nearest integer?\nAnswer: 7260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/141 or -1?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63423.14 weeks to milliseconds.\nAnswer: 38358315072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 19, 1, 3, 9 in descending order.\nAnswer: 19, 9, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*w + 22 = 605*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/20)*z)\/(z\/z**(7\/4))*((z*z**(-1\/9)\/z)\/z)**37 assuming z is positive.\nAnswer: z**(-3547\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30137883 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7370745727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63\/53498 or 0?\nAnswer: 63\/53498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/57861 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 - (1 + -17 + 15 + -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64048.52 tonnes in grams?\nAnswer: 64048520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53996131 to the power of 1\/2, to the nearest integer?\nAnswer: 7348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -18*c**3 + 3*c**2\/2 + 372*c - 31. Differentiate q(r) with respect to r.\nAnswer: -108*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377848 is divided by 76544?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19232 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*2*2\/(-4). Let o be 3 + -1 + 0\/(-2). Let n be o + (2 - (2 + 0)). Solve -b - n = -u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 67 - 2*w - 16 - w in the form l + t*w and give l.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200276 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*z - 1792 - 1322 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 r when four letters picked without replacement from rkkxrxkrrxrxrkrkkrrr?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(2\/3)))\/(v*v**(-7))*(v*v**2)**(1\/3))**30 assuming v is positive.\nAnswer: v**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8771.907km?\nAnswer: 8771907000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 - 9\/8*d**3 + 15\/4 + 99\/8*d = 0. What is d?\nAnswer: -2, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 17*m + 2. Let f(b) = -4*b**2 - 34*b + 4. What is 4*f(s) - 7*o(s)?\nAnswer: -2*s**2 - 17*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n)\/(n\/(n*n**(2\/3)\/n))*n**(-2\/11)*n\/n**(1\/10) assuming n is positive.\nAnswer: n**(189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2, 2\/5, -21, 2\/349, 2\/241?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s = -7*q + 43*s + 15, 2*s - 3*s = 3*q - 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 302009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - (7 + 9)) + 15206. Calculate the highest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t + 10. Suppose -6 - 3 = -l + 4*x, -t*l - 4 = 3*x. Suppose -l = 4*d + 7. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 505 - 665. Let z = 2493 - t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:33 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ede20 + 37?\nAnswer: 1ede57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Suppose 2*i - i = 5. Suppose -2*b - 8 = 3*t, i*t + 0*b - z*b - 8 = 0. Solve 4*w - 2*f + f - 12 = t, 5*w = 2*f + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*((-21)\/27 + 1) + 14. Calculate the greatest common divisor of m and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105.313 and -0.4.\nAnswer: -105.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4875 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2ab1 - a?\nAnswer: -2abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/19 - 39\/95. Let x be 0\/2 - (-1)\/2. What is the fourth biggest value in k, x, 0.1, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 + p**3 - 4*p**3)*(-1192 + 2977 + 3319)*(4*p - 6*p + p)*(-2 - 1 + 2) as u*p + a*p**4 + l + t*p**2 + c*p**3 and give a.\nAnswer: -10208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 598*h - 89401.\nAnswer: -(h + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 61. Let w = 19 + f. Let j be (0\/w)\/(0 - -1). Solve j = -5*u + 2*q + q + 7, -2*u + 6 = 2*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19*(-230)\/(-1748) + (-2)\/((-4)\/6). Determine k so that l + 1\/2*k - 9\/2*k**2 - 9\/2*k**3 = 0.\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let g(l) = -5*l. Let b be g(1). Let j be a(b). Suppose 0 = 4*n - 2*n - 5*x - 14, j = n - 2*x. Sort 4, -3, n in increasing order.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l**3 + 2*l**2 + 6*l + 5. Let x(c) = -c**3 - c - 1. Give -b(k) - 6*x(k).\nAnswer: -13*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420644 is divided by 1676.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -381 + 551. Suppose 6*a = a + f. Calculate the smallest common multiple of a\/9 - (-2)\/9 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815366647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 - 2) + (2 - -1). Let f be 2 + 2\/(-2) - -4. Suppose 6*b = 5*b - 19*b. Solve s*m + f*m - 25 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1\/(-4 - -2). Let p = -12.9 - -13. Let k be 0 - (6\/2)\/(-9). Which is the closest to p? (a) m (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 + u**3 - u**3)*(-2*u - u + 4*u + (3*u + u - 2*u)*(-1 - 1 + 0)) to the form p*u**2 + z*u**4 + j*u**3 + h + n*u and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -109db (base 16) to base 13\nAnswer: -24c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/120 - 7*j**5\/60 - 5*j**4\/8 - 5*j**3\/2 - 12*j**2. Let x be d(-6). What is the greatest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4 - 165*k**3 - 1326*k**2 + 1488*k = 0.\nAnswer: -8, 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5 + 9 = -7*j + 3*j, 3*j + 4*x - 36 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 6*n - n - 5*y, 0 = -3*n + y + 51. Let l = -5791 + 5980. What is the remainder when l is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165837.3 litres to millilitres.\nAnswer: 165837300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2.6, -18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/9*(-11 + -10 - (-14 - 377\/65)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 100*h - 3 = -102*h, 4*y = 5*h + 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 197*i + 12 - 233*i + 29. Let b be k(1). Factor 28\/11*y**3 - 32\/11*y**2 + 2\/11*y**b - 4\/11 + 18\/11*y - 12\/11*y**4.\nAnswer: 2*(y - 2)*(y - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + 0 + (-246 - -270) - -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**3 + 1258*y**2 - 25495*y wrt y?\nAnswer: -6*y + 2516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -2*i**5\/5 - 6*i**4 + 28*i**3\/3 + 12*i**2 - 26*i + 41. Factor t(v).\nAnswer: -2*(v - 1)**2*(v + 1)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - t - 11 = 0, -t + 3*t + 2 = 0. Suppose -d + 9 = -5*r, d - 4*d = g*r - 7. Let j(y) = -y. Give j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54151*m**3 + 2*m**2 - m - 272 wrt m.\nAnswer: 324906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 1, i: 7}. Give prob of picking 1 i, 1 d, and 1 r.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -288582*p*w**3 - 29939*w**3 + 2*w**2 wrt p.\nAnswer: -288582*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, 36\/5, -3.93?\nAnswer: -3.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 5*s + 8*s)*((-1 + 1 + 1)*(2*s + 0 + 0) + 1370*s - 124*s + 338*s).\nAnswer: -1586*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*a - 24597, 6*a - 2*a = s + 8207. Let g = s - -24359\/3. Let f = g - -76. Which is bigger: -3\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most 499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 + -190. Suppose -3*j + 5*p = 3*p - 50, 5*j + 2*p - i = 0. Solve 4*c + 35 = 3*m, 2*m + j = 2*c + 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*t + 18, -2*q - 5*t = -2 - 1. Let g = q - -12. Solve d = 5*d - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 1623288*o + 3246572.\nAnswer: (o - 1623286)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/15)\/z*z**(-7)*(z*z**(-1\/2))**(-22))**(1\/54) assuming z is positive.\nAnswer: z**(-136\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9996752 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 31 = -5*s, -3*s + 10 = -5. Let y(u) = -u**3 + 6*u**2 + 7*u - 11. What is the units digit of y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319*l - 2671*l + 1349*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14106)\/(-159868)*2*4\/18.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 63 = -17*n, -364*c - 6 = -361*c - 2*n + 3*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - 8*d + 243. What are the prime factors of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -11. Let m = 11 + a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 0, -4*v - 255 = -x - 1486. Calculate the highest common factor of 2926 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzvvmmvvmvmm. Give prob of picking 2 m and 1 v.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 20*r = -32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-15) + 3 + (-21252)\/(-25410).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -138*(-18 + 765\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n**(-5)\/n)\/(n**(-2))**(-38)*((n\/(n\/n**2*n*n))\/n)**4\/((n\/(n*n\/(n\/(n\/n**8)*n)))\/(n*n\/n**(-6))) assuming n is positive.\nAnswer: n**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116853, 467419, 1051695, 1869681?\nAnswer: 2921377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = i. What is the first derivative of -6 + i*t**4 + 7 + 2*t**4 wrt t?\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 16*j - 18 = 0. Let a(r) = r**3 - 4*r**2 - 2*r + 3. Calculate the remainder when a(j) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 4*w**2 - 644*w + 2940.\nAnswer: 4*(w - 7)**2*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 344*k\/5 + 14792\/5.\nAnswer: 2*(k + 86)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (14 - -8) - 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 2*y**3 + 2*y**5)*(-3 + 2 + 0 - 1 + 1 - 1 - 2 + 2 - 2 + (0 - 1 + 2)*(0 - 5 + 4) + 190 - 439 + 27)*(1 - 1 + 2).\nAnswer: -908*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2590875 by 75.\nAnswer: -34545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -2623258.\nAnswer: 18\/1311629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) + sqrt(1792)*3 - sqrt(112)*3)\/((sqrt(4) + sqrt(28)\/(sqrt(28)\/sqrt(4)))*2*-5))**2.\nAnswer: 1183\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + 0.9. Which is smaller: d or 45\/29?\nAnswer: 45\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -645\/46721 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/120 - b**4\/24 + b**3\/6 + 16*b**2 + 11. Let a(z) = 0*z + 5 - 5*z + z**3 + 3*z**3. Determine -a(q) + 5*i(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -371735.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 27, -1\/7, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 41012252?\nAnswer: 41012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Let y(q) = -2*q - 16. Let o be y(-11). Let p be 2*3\/o + 3. Solve z = 4*u - 4*i, 16 = -3*u - i - p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 5 + 3*m + 3*m - 7*m - 6*m. Let c(j) = 7*j + 9. What is 6*c(f) + 10*t(f)?\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(-37)*x*x**6*x**14 assuming x is positive.\nAnswer: x**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1125 and -1085 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/6*8\/(-10). Sort -4, v, 6 in decreasing order.\nAnswer: 6, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 74. Suppose -o + i = -92. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 11*o**2 - 18*o - 5. Calculate c(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/4)\/d)*d*d)\/(d*d\/d**(-5)*d)*(d\/(((d\/(d*d*d**(-2\/7)\/d))\/d)\/d*d))**(-38)*(d**(-4)*d**6*d)**(1\/14) assuming d is positive.\nAnswer: d**(-1923\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113368 and 11248.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -630, -2087, -4930, -9621, -16622?\nAnswer: -26395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873 and 1433466?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33466)\/8 - 2\/(-8). Let j be (-3)\/2*14*(-59810)\/300. Let o = j + n. What is the common denominator of o and -85\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let y be d(-6). Put 3, 6, y in ascending order.\nAnswer: y, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -11*h - 152, -14558*h + 14554*h + 95 = -a for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from eezeze.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 0*c - 140 = 0. Let m = 30 - c. Let p(s) = 6*s**2 + 5*s + 1. What is the remainder when p(-4) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 16*i - 137. Let b be h(7). Suppose -b - 86 = -22*y. Is y greater than 87\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 11232129.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*124\/(-93). What are the prime factors of (544 - -4)\/((0 - i) + 0)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 111, 476, 1083, 1932, 3023, 4356?\n\"Answer: 121*z**2 + 2*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 7 + 23 = 0. What is the derivative of 3*y**2 - i*y**2 - 1076*y**4 - 89 + 1049*y**4 wrt y?\nAnswer: -108*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380723 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 444647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37386080 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 9. Let u(s) = -s + 1. Let d(q) = 6*m(q) - 30*u(q). Suppose 3*b - b - 60 = 0. Calculate the least common multiple of d(3) and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/9, -972, -0.1, -1 in increasing order.\nAnswer: -972, -1, -0.1, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -908 or -910?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-25))\/2)\/(-2 + -10 - (309 - 328))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 35\/(-10) + 4 - (-154)\/4.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(216)\/sqrt(150)*-5)\/(3*(5*sqrt(12) + sqrt(12))*-5).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 801919 (base 11) to base 8\nAnswer: 4731140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 822206784 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - 2*q)*(-2*q**3 + 2*q**3 - 2*q**4) + (-3*q**3 - 3*q**3 + 4*q**3)*(2*q + 9*q**2 - 2*q)*(2 - 2 - 5)*(13 - 1 + 5).\nAnswer: 1534*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 - 11*t - 19. Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -2.6. Let k = -0.0869 - -7.0869. What is the third biggest value in r, k, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/91760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7 = 1. Suppose 0*r = -q*r. Let x be (-1)\/(r - (-2 + 1)). Which is smaller: x or -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 977, 12, -5, -100 in ascending order.\nAnswer: -100, -5, -4, -2, 12, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.57 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(21\/6) - 12\/(-4). Let s(x) = -t*x - 2*x + 20*x. Let n(m) = 3*m**2. What is s(n(c))?\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 50, -59\/4, 4, 2, 0.4?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*f - f = -35, -5 = z + 2*f. Suppose z*a - 4 = 4*a. Let d(b) = b**2 + 2*b. Let u be d(0). Sort a, -3, 3, u in descending order.\nAnswer: a, 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (11 - 9)) + -4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(2695))\/(sqrt(22)\/(sqrt(2) + (sqrt(6)*6)\/sqrt(3))).\nAnswer: -882*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 310*v - 2175. What is p(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 333201625?\nAnswer: -333201602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 3 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -8 - 13 - (1 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198414627 a multiple of 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -16 - 36 - 37 - 15?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2327 - -2337. Calculate the smallest common multiple of 315 and n.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3.2 (b) -0.5 (c) -2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 59\/59*(0 - -1). Let d(b) = b + 1. Let p(c) = -4*c + 5. Give y*p(q) + 3*d(q).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:13 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.3 in -0.4, -0.5, 7.49, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.021 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 - 10432*v**3 + 34034676*v**2 + 53010009792*v + 17214299435574.\nAnswer: 2*(v - 8427)**2*(v + 603)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8232 + 21701. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 26*t - 106*t - 38*t.\nAnswer: -180*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -241, 1, 3, -0.4 in descending order.\nAnswer: 3, 1, -0.4, -3, -7, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -27\/10607 and 0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -21*u - 284, 4*n + 11315*u = 11316*u + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*n + 3 = h, -2*n = 5*h - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n. Let p(f) = -f**2 + 41*f - 199. Let t be p(6). Let z(j) = 0 - 2 + 0. Let h(a) = a + 11. Let w(i) = t*z(i) + 2*h(i). Determine k(w(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**22\/u**(6\/17) assuming u is positive.\nAnswer: u**(368\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c + 44. Let f be y(7). Suppose -12*m = f*m - 126. Let v be (-2 - -2 - 1) + m. Solve v*o = 5*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -5, 3, -2 in descending order.\nAnswer: 31, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 3 + 5*o**3 - o + o**2 - 6 to the form w*o**3 + f*o**2 + s*o + u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and (-366)\/(-30) + 1\/(-5)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 105. Let p = 6 - 3. What is the greatest common factor of t and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by 10?\nAnswer: 301\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*g - 357*g - 132 = 363*g + 370*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 680a (base 14) to base 11\nAnswer: 12612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let k(h) = h**2 - 13*h - 51. Let t(j) = -2*i(j) - k(j). Let g be t(17). Suppose 4*a = 0, 2*w - a - 3*a - 4 = 0. Solve -g = -c - w*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2539, -5021, -7463, -9871, -12251, -14609, -16951, -19283?\nAnswer: -21611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*(-8)\/4. Let g be (14\/(-42))\/(f\/9). Find the first derivative of 2*v**2 + 1 + 0 - 7 + g wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/(y\/(y\/(y\/y**(1\/7)))))*y)\/y)\/y*y*y**(-3\/5))\/(y**(-2\/13)\/((y*y*y\/(y*((y**(1\/2)*y)\/y)\/y))\/y*y)))**(-4\/5) assuming y is positive.\nAnswer: y**(-5298\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -5 + -4)*2.\nAnswer: -18 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = -5*v, 4*v = 2*l - 1 + 3. Calculate the smallest common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1379 + 1379. Which is the biggest value? (a) w (b) -10 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - 1 - 12\/(-5). Solve 0 = -b*p, -x + 3*x - p = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/4 + 3 + 57. Suppose -10*f = -5*f - c. Suppose -17*b = -f*b - 115. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.196 - -0.117. Let z = u - -4.979. Let y = z + 0.1. Which is the third smallest value? (a) 1 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*j**2*r**2 - 3*j**2 - 12*r - 182 wrt r?\nAnswer: -94*j**2*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x - 0*g + 3*g, 0 = -4*x + g - 2. Suppose d + x + 3 = 0. Let c be (28\/12)\/(d\/(-18)). Which is smaller: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b - 27. Let r be y(-11). Suppose -2*a = -4*z + r, 0 = -a + 3*a - 5*z + 33. Put a, -6\/11, -1\/6 in descending order.\nAnswer: -1\/6, -6\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n**2*v*x + 10*n**2*x - 7*n**2 - 164*n*v + n - 3891*v*x + 2*v wrt x.\nAnswer: -3*n**2*v + 10*n**2 - 3891*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/16 and -89\/896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 98*b - 125 + 96*b + 413 - 141.\nAnswer: -2*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 650564 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 - (-2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18*11.275\nAnswer: 202.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 6*u**3 + 5*u**3 - 5*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 809475.8 nanometers in meters?\nAnswer: 0.0008094758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -120, -105, -58, 39, 204, 455, 810, 1287?\n\"Answer: 3*r**3 - 2*r**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 + 6\/7*t**2 + 27\/7*t.\nAnswer: 3*(t + 4)*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1385*y**3 + 2*y**2 - 4*y - 7. Let n(w) = 8309*w**3 + 13*w**2 - 25*w - 43. What is 13*h(k) - 2*n(k)?\nAnswer: 1387*k**3 - 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/156)\/((-6)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*n + 15 = -3*a, 2*n = 5*a - 19. Let w = 4 - a. Factor -33*t**2 - 3*t**2 + 1 + 33*t**3 - w + 12*t - 9*t**4.\nAnswer: -3*t*(t - 2)*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92142 divided by -3.\nAnswer: 30714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by 4\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + -92 + (-38 - -145)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x - 377. Let n(k) = 23*k - 1131. Calculate 17*c(u) - 6*n(u).\nAnswer: -2*u + 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 29*m - 6484 + 6458 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -588438327.3 rounded to the nearest 10000?\nAnswer: -588440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.4133908 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1523*g - 2879. What is the remainder when 350 is divided by h(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*c - 96, -4*d + 66 = -2*d - 4*c. Suppose -d = -2*n + 23. Let a = n + -13. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Suppose -4*c - c = n. Let p be 10\/15*(-3 + 0). Is c less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 14*k - 567. Suppose -i = i - 10. Calculate the remainder when i is divided by 57*3\/k - (-2)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 89*i + 102. What is c(22)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 226?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/72 and -71\/1028376?\nAnswer: 1028376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**5\/20 - 2*b**4\/3 - 4*b**3\/3 + b**2\/2 + 13*b. Calculate o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 3 - 5 - 4*c.\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20960 - 20960. Which is bigger: 2\/125323 or a?\nAnswer: 2\/125323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689982028 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 c, and 1 z when four letters picked without replacement from cccnccccccnccnczc?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*z + 79 - 79)*(13*z**3 + 8*z - 8*z) in the form d*z**3 + i + v*z + m*z**2 + l*z**4 and give l.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5 + 6*j**2 - 3*j**3 + 2*j**3 + 0*j**2 + 6*j. Let g be a(5). Let o = -29 + g. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -40*j - 57*j**2 + 29\/6*j**4 + 0*j**3 + 0. What is the derivative of a(u) wrt u?\nAnswer: 116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47449*h + 94907*h - 47452*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by 35\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -44) + -28 + -12 + 17\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -68, -114, -166, -224, -288?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1. Let a(h) = -h**2 + 8*h - 6. Let l be a(6). Suppose 115*z - 109*z = 66. Let u(d) = -12*d + 0 + 4 + 24*d - z*d. Give l*p(r) - u(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 497, 1758, 4245, 8366, 14529, 23142?\nAnswer: 34613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -659*x + 353458. What is w(536)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 398*d + 79202*d**2.\nAnswer: (398*d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 709*j - 18 - 356*j - 3 - 355*j + 5.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 16, 1, 5.\nAnswer: 1, 5, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2\/7 + 1800*v\/7 - 1300 = 0. What is v?\nAnswer: -455, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 35*w**2 + 20*w - 13. Let c(j) = j**3 - 18*j**2 + 9*j - 6. Let f(r) = -5*c(r) + 3*i(r). Let a be f(14). Let h(t) = -t + 12. Calculate h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 624, 622, 618, 612, 604, 594, 582?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 12 + -5 + 6 + -1 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*c + 0 = 63, 3*f + c - 54 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -31, -5.\nAnswer: -31, -5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 <= 805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121))\/sqrt(11)*-3*3 + (2*(sqrt(99) + (sqrt(99) - sqrt(99)*-2)))\/((sqrt(99)*-2)\/sqrt(11)).\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 0 + (2*sqrt(198))\/sqrt(2))*4.\nAnswer: 8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 5717\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 4 + (-5 + 5 + 3)*(0 - 1 + 3))*(2 - 2 - 1)*(-5*c + 3*c + c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 13 = -3*r. Is 3 - (1 + r*16 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = m - 105, m = -0*k + 3*k + 100. Find the first derivative of 0*o**2 + 219*o**3 - m - 456*o**3 - 2*o**2 + 229*o**3 wrt o.\nAnswer: -24*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + t + 80 - 85, -u = 5*t - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3450\/(-2070)*18\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*z. Let b be (8\/6)\/(z\/(-9)). Calculate the common denominator of b\/(-9)*29\/12 and 47\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 45071 - 12785. List the prime factors of i.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/13 in -4, 2, 2522, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/(-1755)*(-215 - -228).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.9 - -2.1. Let u = c + -18. What is the second smallest value in u, 5, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418098?\nAnswer: 2, 3, 17, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40327*s - 27943240 = -40353*s. Round s to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -28.48 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zafzfzzzzfafzz. Give prob of picking 1 a and 3 f.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 - o)*(-3*o - 5 + 3 + o).\nAnswer: 2*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 48849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-36))\/((-466)\/4194)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 - 4*w**2\/3 + 16*w\/3 = 0. What is w?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258082, 516154, 774226?\nAnswer: 1032298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-16 - 7 - -24)*(-1 + (-150)\/(-146))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 z when four letters picked without replacement from {y: 1, q: 1, r: 1, v: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, -64, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2 - 8*g + 9. Let t be x(2). What is the greatest common divisor of 1060 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 10*x**2 + 24*x - 26. Calculate b(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**(2\/7))**19 assuming h is positive.\nAnswer: h**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = n - 18*z - 7, 0 = -n + 5*z - 3. Solve 14 = -n*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5990 - 5990.19932. What is p rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 10)*(0*t**5 + t**2 + 2*t**5 + 0*t**2).\nAnswer: 36*t**5 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*o**3 - 47*o**2 - 54*o**3 + 113*o**2 - 20*o**2 - 46*o**2.\nAnswer: 227*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 1. Let y(b) = 1. Let i be -3 + -6*(-1)\/3. Let d(n) = i*y(n) - k(n). Let h(r) = 3*r. Determine h(d(s)).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 4, o: 4}. What is prob of sequence gjo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7247805.\nAnswer: 3, 5, 73, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0*n**3 + 1\/3*n**4 - 1\/15*n**5 + 0*n - 12*n**2 + 0. Factor s(q).\nAnswer: -4*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 + 12005730?\nAnswer: 12005602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.557 + 13.857. Which is the nearest to 1\/5? (a) -0.1 (b) q (c) -4\/11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 52059397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19384065.\nAnswer: 3, 5, 71, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 74814*b\/5 - 1276173.\nAnswer: 3*(b - 25023)*(b + 85)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107394522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 6*i**4 + 397*i**3\/4 - 18*i**2 - 1143*i\/4 + 397\/2 = 0.\nAnswer: -397\/24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 218 and -0.8?\nAnswer: -174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*n**3 + 2*n**2 - 13*n + 7 wrt n?\nAnswer: -1806*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/2520 + r**6\/144 + r**5\/30 + r**4\/6 + 4*r. Let b(x) be the third derivative of g(x). Determine b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 3*x + 2*x + (-5*x + 0*x + 4*x)*(-4 + 3 + 2) to o + y*x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g - 5. Let l be k(-2). Suppose -2*y = 2*q - 128, 4*y - 5 + l = 0. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 + -231. Which is the nearest to 0.5? (a) 1\/6 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/891 - -35614\/11583. Find the common denominator of m and 22\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -4, -102, -2, -5 in decreasing order.\nAnswer: 9, 3, -2, -4, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098814?\nAnswer: 2, 149, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-195)\/583 - (-4)\/12. Let r(w) = -9*w**2 - 1366*w + 303. Let u be r(-152). Is m at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(9\/5))\/k*k))\/k)\/k**(-10)*(k**(-4\/9))**(-13\/3))**(9\/11) assuming k is positive.\nAnswer: k**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40527, 80042, 117447, 151686, 181703, 206442?\nAnswer: 224847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7*g - 377 = 0, 5*g = 2*f - 118344 + 118607 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 divided by -35?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1474, -2925, -4378, -5833, -7290, -8749, -10210?\n\"Answer: -y**2 - 1448*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4833071400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g + 416. Let j(t) = 19*t - 834. Calculate -3*j(b) - 5*v(b).\nAnswer: 3*b + 422","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19*q**2 - 4*q - 4. Let g be w(-1). Suppose -n - 5*c = -g, -2*n = n + 3*c - 9. Let h be 1*n\/(-6)*-2. What is the nearest to h in 0.04, 5, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 5*s**2\/2 + 7*s - 2. Suppose -4*z - 2 = -34. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 62660.\nAnswer: 62660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199226973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17485 and 975?\nAnswer: 262275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 1449?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 21 = 2*n - 6*d, -d - 25 = -3*n. Let j be (n\/(-2))\/(2*-1). Find the first derivative of -1 + 3 - 4 - j*p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355922153 or -355922154?\nAnswer: -355922154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007753355 to 6 decimal places.\nAnswer: 0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * -53\nAnswer: 3.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 3. Let n be t(-3). Let q(w) be the third derivative of w**6\/120 - w**5\/60 - w**4\/24 - w**3 - 103*w**2. Determine q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.4948ml in litres?\nAnswer: 0.0364948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.095421 millennia in decades?\nAnswer: 109.5421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (sqrt(220) + (sqrt(220) - (sqrt(220) + 3*sqrt(220))*5)) - sqrt(220))\/sqrt(4))\/(sqrt(10)\/(sqrt(2) - sqrt(8)*-2)).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 87. Suppose o + 21 = 3*i + 4*o, o = -x*i + 15. Solve 0 = z - 5*z + i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -206*y**2 - 2*y - 7. Let u(f) = -2*f**2 + 2. Let i(t) = -d(t) - 2*u(t). What is the hundreds digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 8.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 + 0 + 0)*(-200*m - 3 - 155*m + 345*m) as k*m**3 + a*m**4 + t + u*m**2 + x*m and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z + 89. Let i be l(0). Suppose 3 = 2*j - i. Suppose 5*n - 3*n = j. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(500) + 0) + (sqrt(500) - (sqrt(500) + -1)*2) + 3)**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34c1999 + -3?\nAnswer: 34c1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**3 - 2*s**2 - 805054*s + 24993208 wrt s?\nAnswer: -12*s**2 - 4*s - 805054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/90 and 5\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(192) + -4 + sqrt(192) + sqrt(192))*-6 + sqrt(30)\/(-2*(sqrt(10) - (sqrt(10) - -3*sqrt(10))) + sqrt(10)))**2)*-2.\nAnswer: -6141232\/49 + 96672*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 2*p + 5. Let a be q(-5). What is the units digit of 28\/a + 68\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q**2 - 40*q + 2624. Let y(h) = -2*h**2 + 6*h - 375. Let b(n) = -3*d(n) - 20*y(n). Let j(v) = -v. Give b(j(x)).\nAnswer: -2*x**2 - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6 + -0.4. Let x = 110 - 109.7. What is the third smallest value in w, -0.3, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by (-1)\/(18\/(-278)) + 655\/45 + -15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a15 + -11?\nAnswer: -1a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 7. Calculate the common denominator of (242\/15)\/(p\/6) and 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from ihiit.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*f - 33. Suppose l + o = -3*o + 7075, -f*l + 4*o = -28240. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 - 241\/6*p**3 + 201*p + 77\/2*p**2. Differentiate h(n) wrt n.\nAnswer: -241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d - 2*o - 2 = 0, -5 = -3*d + 5*o. Solve 3*v - 8 - 4 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*n = 20, -u - 4*n + 8 = -6. What is the lowest common multiple of 4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9))**(7\/3))**(8\/13) assuming h is positive.\nAnswer: h**(-168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17664 (base 9) to base 4.\nAnswer: -2332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28712 and 217240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*y + 1721*y = -12838*y - 325*y - 1224552 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0*d + 0 + 1\/12*d**4 - 3*d**2 + 0*d**3 + 1\/30*d**5. Find the second derivative of u(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 576\/11 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 12. Let i be h(-9). Suppose 0 + i = -t. What is the common denominator of 102\/40*2\/t and -79\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 202*u**2 - 9667*u + 279. Calculate g(-124).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p - 12*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**4 + 1117*d**3 - 1118*d**3 - 1 + 11*d**4 as f + n*d**3 + h*d**2 + p*d + o*d**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3145 and 487765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103910.06 - -103910. Let l = -1 + 1.02. Which is the nearest to 0.1? (a) 0.3 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 6*s + h + 5 - 6, -4*h + 14 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45.737055+-1\nAnswer: -46.737055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/18 + (-2)\/(-9). What is the common denominator of (-70)\/900 + a\/(-18) and -11\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Let k = 3.68 - -0.32. What is the smallest value in k, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 86. Let c = h - 43. Suppose -c*j + 15 + 30 = 0. Solve -u = 5*t - j, -8*t + 11 = -u - 3*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80638827.\nAnswer: 3, 26879609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:52 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 14*b + 12. Let s = -10 - -1. Let j be p(s). Suppose h - 5*h = 0, 3*m + 5*h = j. What is the remainder when m is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10930, -43837, -98722, -175591, -274450?\n\"Answer: -m**3 - 10983*m**2 + 49*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (868\/2 + 1)\/(-1). Calculate the remainder when 2\/3*w\/(-10) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**10\/840 - 11*k**6\/360 + 2*k**3 - 3*k. Let u(z) be the second derivative of g(z). Find the third derivative of u(x) wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-10)*108\/(-153) + (-212)\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62694 and 7565076.\nAnswer: 22695228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*i + 119*i = -39. What is the remainder when 233 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) -15\/82 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 128591+-17906\nAnswer: 110685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 39519975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3354715*q**2 + 51425*q - 160 = 0.\nAnswer: 32\/7373, 1\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12465727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l - 14. Let w(p) = 20*p - 133. Let i(q) = 9*q - 57. Let u(g) = -7*i(g) + 3*w(g). Determine v(u(a)).\nAnswer: 18*a - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7)*(-182 + 189)*1. Are d and -7\/4206 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1076, 1961, 2846?\n\"Answer: 885*u + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (28 - (-2 + 4)). Calculate the greatest common factor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946098054 to the power of 1\/2, to the nearest integer?\nAnswer: 62818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21.5*-65842.9\nAnswer: 1415622.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btixtxuutuuubxu. What is prob of sequence utu?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191*u**2 - 95*u**2 - 231*u - 94*u**2 to the form v + w*u**2 + o*u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -145*t**4 + 3965*t**3 - 11210*t**2 - 10520*t + 4800 = 0.\nAnswer: -1, 10\/29, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19668 by -6.\nAnswer: -3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/37 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {n: 3, d: 2, e: 4, l: 1, v: 2, w: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8314*w = -8304*w - 200 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n - 0. Let d = -153 - -493. Let f be 17\/(d\/88) - 7. Is n not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l. Suppose 2*o - 3 = -5*q + 1, l = -2*q + o + 7. Suppose -5*b + q*s = -63 - 25, -4*b = 3*s - 52. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 5\/394379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k. Solve 6 = -o - o - 2*w, k = -3*o + 3*w - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14526 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4*k - 5274*g**2*k + 3*g*k + 18*g - 86*k wrt g?\nAnswer: -12*g**2*k - 10548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 1805\/649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12965904?\nAnswer: 2, 3, 7, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + (12 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/15)\/2 + 0 + (-330)\/(-550)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6511 + 1635 = 0. Let f = -102 - m. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442 a factor of 1197003508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11734374 by 3911458.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10467657 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172711148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 5*b + 3. Let c be n(3). Let 12*d**3 + 6*d**2 + 9*d**5 - 12*d**5 - 7*d - c - 2*d = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggfrllllflrlrrllrf. Give prob of picking 1 r and 1 g.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h*h\/h**0*h))\/h)\/(h**(-2\/7)\/h))**(1\/10) assuming h is positive.\nAnswer: h**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 177904*g - 1067414. Determine a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-26)*-18*14\/(-42).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/12 + 136*d**3\/3 - 271*d**2\/2 - 633*d + 2. Suppose h(y) = 0. Calculate y.\nAnswer: 1, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + n. Determine p(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 317*t**2 - 1618*t - 57. Determine l(6).\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/630*10\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 71.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7390422, 7390424, 7390422, 7390416, 7390406, 7390392, 7390374?\n\"Answer: -2*z**2 + 8*z + 7390416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 1, 15, -4, 182 in decreasing order.\nAnswer: 182, 15, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133222 + 100?\nAnswer: 133322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 12*v**3 + 8*v**2.\nAnswer: 4*v**2*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -3*l, -7*l + 2 = 5*g - 8*l. Let a be (-2 - (g + -4))\/(-3). What is the nearest to a in 5, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((63\/9)\/7)\/(6*(-1)\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1683)\/(-22) - (-1)\/(-2) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**16*t)\/(t\/(t\/(t\/t**20))) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 16*h - 8. What are the prime factors of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-13)*w\/(w*w*w**(7\/2))*w*((w*w**(-2\/5)*w)\/w)**(-6\/7) assuming w is positive.\nAnswer: w**(-1121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256*b - 53771*b - 14506*b.\nAnswer: -69533*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, -8, 0 in decreasing order.\nAnswer: 0.4, 0, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 - 6*m**2 + 2. Let y(c) = -13*c**3 + 13*c**2 - 5. Let i(t) = -t**3 - 3*t**2 - 2. Let v be i(-3). Let d be (v + 52\/8)*-2. Give d*b(a) - 4*y(a).\nAnswer: -2*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {p: 7, i: 2, h: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + 3)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -31, -65, -119, -199, -311?\n\"Answer: -l**3 - l**2 - 10*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 452*n**3 + 1920*n**2 + 2416*n + 688 = 0 for n.\nAnswer: -86, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 4625.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(3*t**3 + 0*t**3 - 2*t**3)*(-3*t + 7*t + t).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -667, -3\/2, 9?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-2))\/3 + 0. Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 328 = -4*z, z - 83 + 7 = 3*w. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4682976 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 18 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -376, -552, -726, -898, -1068, -1236?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 260184\/1901 and 136 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/5 (c) -1 (d) 0.2 (e) -3133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 31, 26508, 9 in ascending order.\nAnswer: 3, 9, 31, 26508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 992 = 4*a. Find the second derivative of -5*c**4 + 52*c + 32*c**5 - 28 + 25 - a*c**5 wrt c.\nAnswer: 20*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - 22\/(-6). Suppose -h - v = -5. What is the first derivative of 2*t**2 - 5 + h + 2 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u - 1 - 49\/2*u**4 - 4\/3*u**2 + 343\/15*u**5 + 28\/3*u**3. Factor o(d).\nAnswer: d*(7*d - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z**3 + 2*z**2 - 2*z + 1. Suppose 2920 = -5*n - 5*v, 0 = 3*n - 7*n - 2*v - 2344. Let x = n + 589. What is f(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 0.2, 1, 5\/7 in descending order.\nAnswer: 4, 1, 5\/7, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154312232 (base 6) to base 5.\nAnswer: -1320303233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18852.1385 - 2695?\nAnswer: -21547.1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let m(l) = -1031*l - 1240. Let v(r) = 6*f(r) + m(r). Find the first derivative of v(y) wrt y.\nAnswer: -1043","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -s - 5*r, 12*s - 5*r = 14*s - 569. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10 and 10\/811.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -906?\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (24\/20)\/((-3)\/(-40)). Suppose 3*n - a*g = -17*g + 13, -4*g + 18 = -2*n. Is n greater than 2\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29254043 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 8, h: 5}. What is prob of picking 2 h and 1 x?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300966.\nAnswer: 2, 3, 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + -2.78.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4257.4119 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 4\/5, 3\/7, -0.4.\nAnswer: -0.4, 3\/7, 4\/5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010719 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 10. Let f be (-11)\/33 + (-26)\/(-12)*-4. Let q be a(f). What is the lowest common multiple of q - ((-237)\/27 - 8\/36) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1)*(-2*y**2 + 0*y**2 + 0*y**2)*(-229*y - 258*y - 1515*y).\nAnswer: 8008*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 120 - 88. Let z(t) = -7 - 27*t + 27*t - i - t**2 - 16. Calculate z(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/38)\/((-21222)\/(-7074)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 665, 655, 629, 581, 505, 395, 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1701 or -124070\/73?\nAnswer: -1701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -37.5. Let w = -33 + h. Round w to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3689?\nAnswer: -1\/3689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55.7 or -3\/2?\nAnswer: -55.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -104 + 68*n**4 - 3*n - 2*n**2 - 70*n**4 + 3*n - 153 as b*n**4 + k*n**3 + u*n**2 + a*n + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746247 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -18329.\nAnswer: 3\/18329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*(-4869)\/(-360) - (-3)\/(-15). What is the highest common factor of q and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168160 divided by 160.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - (5 + -3 + 0)) + (-178 - -181).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131035?\nAnswer: 5, 73, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912937.97 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -18*v + 15*v. Suppose 0 = 153*k - v*k + 8212. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q**2 - 3*q**2)*(q**3 - 5*q**3 + 3*q**3) + 174*q - 174*q + q**2 + 7*q**5.\nAnswer: 5*q**5 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 107 - 233 + 121 + 3*u - u - u + (4*u - 2*u - 3*u)*(2 - 3 + 3) to the form w*u + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**(-27)\/(y**(-2\/3)*y*(y\/y**(2\/5))\/y*y**(-1\/3)*y**(-1\/7)) assuming y is positive.\nAnswer: y**(2854\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/18964 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 134007 divided by -4\nAnswer: -134007\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18) - (-12)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1 (c) -0.08 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-24)*3)\/((-9)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*j - 2167*j - 13119 = 33145 + 9356 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -56, -64, -72, -80?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-1) + 1 + -3. Let m(h) = -2*h**3 + 6*h**3 + 2 - 3*h**o - 8*h**2 + 7*h. Let t be m(7). Put -2, -1, t in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-741 - j - 731 + 1485)*(2 - 1 + 0).\nAnswer: -j + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q + 1\/3*q**3 - 1\/8*q**4 + 3*q**2 - 1\/30*q**5 + 0. Factor k(u).\nAnswer: -(u + 2)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11144*o = -11088*o - 896 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kff when three letters picked without replacement from {f: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3955 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 1. Let d be p(-1). What is the greatest common factor of d and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 - r**3 + 3*r**3 - 4*r**3 - r**3 + 3*r**3 + (r**3 - 2*r**3 - r**3)*(-1 - 1 + 4) - 904*r + 904*r - 138*r**3 + 2 + 2*r**3 - 1 + 1.\nAnswer: -144*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 45 = -3*n - 2*n, 4*n + 36 = b. Let w(m) be the first derivative of -19*m**2\/2 + 35*m - 3. Is w(n) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51992.62 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3 - 3\/2*50\/(-75). Factor 2\/9*r**n - 2\/9*r**5 - 2\/9*r**4 + 0 + 2\/9*r**2 + 0*r.\nAnswer: -2*r**2*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -13.7231?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 7*l**2 - l + 8. Let u be n(-5). Suppose 2*a - 26 - u = 0. Suppose 59*w = a*w - 2460000. Round w to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5159802 and 91\/17798.\nAnswer: 56757822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1162, 2964, 14144, 35906, 71778, 125288, 199964, 299334?\nAnswer: 426926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/18 - 14*j**3\/27 + 2*j**2\/3 + 12. Solve x(w) = 0 for w.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71\/77 + 7\/11. Let g = -5.08 + 5. Let x = 7 - 2. Which is the third smallest value? (a) g (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18666, 37421, 56262, 75189, 94202?\n\"Answer: 43*u**2 + 18626*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -61*s - 12. Let r be j(-6). Let b be 2\/((-3)\/(r\/(-4))). Suppose 10 = -2*c, x - 4*c = c + b. What is the remainder when 134 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 47 = -177. Let y = -2 - 16. Let v = y - -25. What is the greatest common divisor of o and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 892480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*q - 2*u - 63, 44*q + 6*q = 2*u + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 6*s - 2057 = 3*g, 0 = -s - 5*g + 1035. Let u = -513 + s. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 400*o**2 - 72 + 4296*o - 9111*o + 4251*o - 68*o**3 = 0.\nAnswer: -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291970796 to the nearest integer?\nAnswer: 35944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(1*sqrt(11)))\/sqrt(2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-5) + (-6)\/30. Is (s\/4 + 1)\/(9\/8046) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 - 5*o**3\/3 + 124*o. Let q(r) = -3*r**2. Determine l(q(c)).\nAnswer: -9*c**4 + 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.06 + 5.48. Round g to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/3227117 and -45\/138766031.\nAnswer: 138766031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 34. Let r be l(-16). Let y(n) = n - 15. Let z be y(r). Calculate the greatest common divisor of 2 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1829148251.\nAnswer: 7, 1879, 139067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 372288 divided by -1662?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (16 - 44) - 22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 15*c + 4 + 2*c**3 + 6 + 3*c to the form q*c + h + b*c**2 + x*c**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 + 2*l**2 - 2*l + 1. Let q be 2\/4*(-4 - -10). Suppose -2*a + 3*x + 20 = -q*a, a - 5 = 2*x. Give u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6599 - 16299. What is l rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-278 - 190 + 104)*(-3*p + p**2 + 3*p) to o*p**2 + f + t*p and give o.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132094*y**4 + 15*y**3 - 2*y**2 + 10381*y - 45?\nAnswer: 3170256*y + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(210)\/((sqrt(6) - (sqrt(6) - sqrt(24)\/sqrt(4)))*3))\/((sqrt(180) - (sqrt(180) - 2*2*sqrt(180)))\/sqrt(4))*2.\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21222001 (base 3) to base 10\nAnswer: 5806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-10 - 44) + -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2240 and 23\/224.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1145, 4, -373, -6 in descending order.\nAnswer: 1145, 4, -6, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 28 (b) -1\/4418 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 145354*y + 1017489. What is j(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 6, -4\/39, 0.2?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 26*k + 16. Let t be d(6). Let f(w) = 51*w**2 - 5*w + 33. List the prime factors of f(t).\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 615937.7 centuries?\nAnswer: 61593770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 10908?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let m(k) = 0 + 54*k**d - 2*k**2 + 4*k**2 + 3*k - 3. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32\/(-6)*(-9 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 1 + 11*c + c**2 - 8*c. Let p(g) = 6 + 6*g**2 + 0 + 4*g + g**3 + 2*g. Determine p(d) - 6*v(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*o + 6, -4*o + d - 22 = -16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 2 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11456 + -114012?\nAnswer: -102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - (6 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2526 - -103560\/41. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 174*u**2 - 3968*u - 22. Give b(23).\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 11, 38, 97, 200, 359?\n\"Answer: 2*q**3 - 2*q**2 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131310, 131301, 131292, 131283?\n\"Answer: -9*t + 131319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -4336?\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(539) + 1)*-4 + 5)**2 - (0 + -2 + ((0 + sqrt(11) + -5)**2 - -2*sqrt(1100))).\nAnswer: 1446*sqrt(11) + 34631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12861263 is divided by 131236?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*s - 2*s + a, -40 = -3*s - 4*a. Suppose -11*n = -15*n + s. Solve n*q - 5*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 4\/9, 0, -0.39, -2\/9 in increasing order.\nAnswer: -0.39, -2\/9, 0, 0.01, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 468050, 936099, 1404148?\n\"Answer: 468049*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 166\/140813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -111. Let n(a) = -11*a - 9*a**2 + 21*a**2 - 23*a**2. Let v(m) = -4*m**2 - 4*m. Calculate c*v(q) + 3*n(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5 - 53435961*u**4 - 198219*u - 325 wrt u.\nAnswer: 80*u**3 - 641231532*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - -5.3. Let h = g - 5. Which is the third smallest value? (a) h (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -259, -557, -971, -1501?\nAnswer: -2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 - 2*n**5 + 3*n**5)*(-4 - 7 + 4).\nAnswer: -21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:13 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384736650*i**2 - 473732925*i?\nAnswer: -769473300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/7 + 170*n**2\/7 + 1376*n\/7 - 2664 = 0.\nAnswer: -74, -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2672 = 4*x, 1338 = 2*f + 6*x - 9*x. Suppose 2*i + f = -4*i. Let n = i - -108. Let w(g) = -g**3 - 4*g**2 - 2*g - 3. What is w(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:52 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57589858369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 - 1. Let m be 1\/(-4) + (-34)\/(-8). Let t be l(m). Sort -3, 1, t.\nAnswer: -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-73)\/(-2))\/((-9)\/(-18)). Solve -14*z + v = -25 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let d(r) = -22*r - 4. Calculate -d(o) + 3*i(o).\nAnswer: 25*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 2\/9, 1\/8, -1, 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3139343408.80000401 - -3139343387. Let h = -21.8 - w. What is h rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -18. Let w be (a\/(-4) + 2)*10. Suppose -2*u + r = 3*u + 2, -w*r - 20 = 5*u. Put 4, -5, u in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75186546 by -37593273.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 773, 778, 785?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -18*u**2 + 162*u. Let o(k) = -13*k**2 + 164*k. Calculate 2*d(j) - 3*o(j).\nAnswer: 3*j**2 - 168*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2172 and 191\/98868.\nAnswer: 17895108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfidllifinf. What is prob of picking 1 i and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1282, -2527, -3734, -4885, -5962, -6947, -7822?\n\"Answer: 3*j**3 + j**2 - 1269*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 5, c: 1, u: 2, e: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -22?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3.5 (b) 0.5 (c) -0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -5*q - 2*j, -30*q = -28*q + 3*j - 111. Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 324\/60) + (-4)\/(-10). Let m(w) = w**2 - 4 - 3*w**2 + 11*w**2. Let g(k) = 5*k**2 - 2. Let p(x) = 7*g(x) - 4*m(x). What is p(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c + 54. Is 26 a factor of l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 95. Let p be l(10). Let o = p + 902. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5343717985 to 5 dps.\nAnswer: -0.53437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516c19 (base 15) to base 16.\nAnswer: 3b0f0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 154 - 842. Calculate the remainder when b is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8075592 minutes to weeks.\nAnswer: 0.000080115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 32. What is h(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1045 + 390*a**3 - 150*a**3 - 3*a**2 + 524 + 522 in the form i*a + g + n*a**2 + x*a**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/4)\/((-12)\/(-8))*80\/(-5200)*39?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 3017105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*o + 3 = 2*v + 263*o, 0 = -o - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(240\/184) + -1 - (-3 - -6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 23 = 5*i, 45*i - 2 = 43*i - 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/180 - w**5\/5 + 9*w**4\/4 - 13*w**2\/2 - w - 65. Let s(f) be the second derivative of o(f). Let s(y) = 0. Calculate y.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579612.1ml in litres?\nAnswer: 579.6121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - (5 + -11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 + 2*i**3\/3 + 5*i**2\/2 - i. Suppose 0 = -4*r - 5*l + 20, -2*l = 4*r - 7*l - 20. Calculate s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -100835, -100834, -100833, -100832, -100831, -100830?\n\"Answer: r - 100836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2163710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34911 and 264708.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -75. Let y = 76 - 52. Calculate the remainder when i is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2984895 and 184905?\nAnswer: 20894265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + p - 3. Let w be z(-2). Find the second derivative of 9 - 4*a - w*a**2 + 1 - 10 wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**3 + 5*y + 2. Let u(h) = -7*h**3 - 4*h - 1. Calculate -5*d(o) - 6*u(o).\nAnswer: 2*o**3 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -49*n**4\/4 + 13*n**3\/3 + 22. Find the third derivative of h(x) wrt x.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.24, -2, -0.004, 4 in decreasing order.\nAnswer: 4, 1\/2, 0.24, -0.004, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 - 7*f**3 + 81*f**2 - 27*f**3 - 324 + 30*f**3.\nAnswer: -4*f**3 + 81*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)\/(s\/(s*s**(-8)*s)*s)*s**(-3)*s\/(s**(-1\/2)\/s))\/(s**(-9)*s**(3\/5))**(-22) assuming s is positive.\nAnswer: s**(-17377\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1 - 21*m**2 + 2 + 26*m**2. Give h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 22*p**2 + 4*p - 3. Let o be v(1). Let r = 89 + o. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 5. Let b be d(3). Let o(j) = j - 4. Let c be o(6). Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 46. Let x be (2*3 + -1 + 0)*56\/(-35). What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2173 by -5.\nAnswer: 2173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2511\/4 + 627. What is the nearest to 8 in -1, 2\/5, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9613745 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4386, -17397, -39050, -69357, -108330, -155981, -212322?\nAnswer: -277365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)*x*(x**2\/x)\/x*x**(3\/5)\/((x*x**(-5))\/x)*((x\/(x*x\/x**(-3)))\/(x\/(x*x**(-2\/13))))**36 assuming x is positive.\nAnswer: x**(-37229\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 3. Let v(d) = 2*d - 3. Suppose 5*j + 5*s + 3 = 63, j = s + 2. Let r(k) = 3*k - 4. Let c(b) = j*v(b) - 5*r(b). Calculate -6*c(p) - 2*z(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let w = 3655 + -3655.2. Which is the biggest value? (a) -7\/3 (b) -4 (c) w (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 + 5*v**4\/12 + v**3\/3 - v**2\/2 + 551*v. Determine b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**5 + 1311*n**4 + 67167*n**3 - 437391*n**2 + 668082*n - 299160 = 0.\nAnswer: -45, 1, 4, 554\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9 - 2\/(-3). Let j(m) = 2*m + m**2 + 0 - m**3 + 3 - 12 + 6. Let k be j(b). Which is smaller: -1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.632274 rounded to three dps?\nAnswer: 18.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 907871 - 907869. Find x, given that 189\/4*x**5 - 141\/4*x**3 - 111\/2*x**4 + 111\/2*x**w - 12*x + 0 = 0.\nAnswer: -1, 0, 2\/7, 8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 4 + 2 + 1. Let m be (b + 8\/6)*(-6)\/(-5). Let d be m\/22 - (90\/11 + -8). Solve 4*n - 5*n - 5 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 412711\/36 + -11460. What is the common denominator of 902\/42 - (-3)\/(-21)*1 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*m = -3112, -w - 4*m + 171 + 871 = 0. What is the third derivative of -23*y**3 + 959*y**2 + 115*y**3 - w*y**2 wrt y?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-24)*o**(2\/63)*o)\/(o*(((o\/o**(-32))\/o*o)\/o)\/o)**(-41))**(-10\/7) assuming o is positive.\nAnswer: o**(-812090\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-140)\/(-12))\/((-3)\/9). What is the remainder when (v\/28)\/(2\/(-104)) is divided by (-5)\/((-15)\/69) - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1189080756*z**4 + 1475*z**2 + 3426*z + 1.\nAnswer: 28537938144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0 - 53. What is the remainder when l is divided by 840\/72 + 4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10933 - 6885. What are the prime factors of u?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194)\/(-2425)*135\/(-6)*(-165)\/(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2392631968 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.06 - -409.06. Let s = 406 - f. Which is the nearest to -3? (a) 2\/13 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 39.5, 0.5, 2\/5, -3, 49\/6, -2\/9?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22*k - 11. Let b(m) = m. Determine u(b(q)).\nAnswer: -22*q - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1.4059821.\nAnswer: -1.4059821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -21. Suppose -4*c = -9*c - 5*n + 100, v*n = 3*c - 32. Suppose -c = -d - 5. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2275772, 2275720, 2275668, 2275616, 2275564?\n\"Answer: -52*l + 2275824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75513.3nm to kilometers.\nAnswer: 0.0000000755133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x - 1. Let z be f(-1). Suppose h - 5*b = -21, -z*h + 3*b - 2 = 13. Put 4, 7, h in decreasing order.\nAnswer: 7, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 166*b + 177*b - 337*b. Let m(h) = 5*h + 44 - 44. What is m(r(w))?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-1 + -2)\/((-42)\/98). Solve 0 = 3*n + 5*d + s, -3*n + 0*n + 3*d = 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19092.73 decades?\nAnswer: 2291127.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 13*b + 24. Determine w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -246 (base 11) to base 14\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 4*d**2 - 9*d - 7. Let c(h) = -3*h**3 + 5*h**2 + 9*h + 9. What is 4*c(v) + 5*o(v)?\nAnswer: -2*v**3 - 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -123933.9564 rounded to the nearest one thousand?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -851359093 equal to -851359095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*s + 5*s + 317 + 243 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 12*q**3 - 31*q**2 - 42*q.\nAnswer: q*(q - 3)*(q + 1)*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 4, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 s when four letters picked without replacement from fxsfffxsbzxf?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*m - 26 = 142*m + 32. Let q(p) = -p. Let r be q(-3). Put r, m, 4, 0 in decreasing order.\nAnswer: 4, r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -165, -126, -61, 30?\n\"Answer: 13*o**2 - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 8470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/5, -334290.58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 3:24 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-196)\/(-12) + (-2)\/(-3). Suppose -2*y = -w + 3. Suppose -5*a = -y*a + 140. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/116)\/((-3)\/22)*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -6 + 3 + 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -223. Suppose -4*a - n*a = -14263. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 5*y - 22. What is h(7)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001120121 (base 3) in base 2?\nAnswer: 101000101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637957 a multiple of 2196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 105\/30*(-12)\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 4, u: 11, c: 3}. Give prob of sequence uud.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-2)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, o: 2, k: 1, b: 3, m: 1, u: 1}. What is prob of sequence uh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5504918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 329 = -5*x, -97797*w = -4*x - 97796*w + 56 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 8*s**2 + 3*s - 40. Let v be w(-4). Solve -v = -4*k + 3*x - 5*x, 2*x = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/389?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -725 (base 11) to base 12.\nAnswer: -60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:31 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29066999 is divided by 256?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 6 + 2*d**5 + 0*d - 10\/3*d**3 + 5\/6*d**6 + 0*d**4 - 5\/2*d**2. What is h in v(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-197*t - 39706 + 19852 + 19858 - 67*t).\nAnswer: -264*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 95410 and 2.\nAnswer: 95412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/24)*u\/u**45*u**(-7)*u**(-19) assuming u is positive.\nAnswer: u**(-1681\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13257833411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945456 and 352.\nAnswer: 20800032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10327555\/114 + -90591. Let a = k - -30\/19. Calculate the common denominator of 806\/(-80) - (-11)\/55 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 24. Suppose -x - 66 = -v*a, 3*a - 4*x = 6*a - 99. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(68)))**2 + sqrt(68) + 0 + sqrt(68) + 4 - 5*(sqrt(68) + -6*1*sqrt(68))**2.\nAnswer: -7884 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -59, -76, -93, -110?\n\"Answer: -17*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3592, -3593, -3594, -3595?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 1434*o**2 - 512652*o + 1031048.\nAnswer: -(o - 2)*(o + 718)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(304) - sqrt(19))**2 + 0.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -76*b + 66. Let n(p) = 70*p - 64. Let y(d) = 11*f(d) + 12*n(d). Let z(w) = 3*w - 43. Calculate 5*y(s) - 6*z(s).\nAnswer: 2*s + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 22*z**2 + 2*z**4 + 32*z + 13*z**2 + 7*z**2 + 16*z**2 - 17*z**3.\nAnswer: z*(z - 16)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 + 110000001?\nAnswer: 1000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 15*f - 4. Suppose g = -5*j + 26, 3*j - 5*g - 4 = 6. Suppose -j*x - 18 = 2*v - v, 2*x - 18 = -4*v. What are the prime factors of c(v)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 9 - (112\/(-24) + 6)*(-6 + 9). Suppose 0 = -j - 4*q, 0*j = j + 5*q + 1. Let a = 9 - j. Solve 23 = a*p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 72. Is r greater than or equal to 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(2057) - (sqrt(2057) + 1*sqrt(2057)*4 + sqrt(2057)))**2.\nAnswer: -660*sqrt(17) + 51461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1740 - -3705. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 13) to base 15\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.7 - -60.3. What is the closest to 0 in -1\/3, -96, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:20 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 99. Let m be 6\/27 + (-568)\/(-36). Suppose 5*j = 89 + m. Calculate the lowest common multiple of j and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaaiiaaiaiiiiaa. What is prob of picking 2 i and 2 a?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 - -179. What are the prime factors of (-4)\/(-10)*(j - (2 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*-247*66\/22572*18?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 23, -2, 2 in descending order.\nAnswer: 23, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4863967755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -310 or -228?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 4*t - 2. Let p be r(-3). Let f(g) = -2*g**2 - 2*g + 3. Let d(b) = 8*b**2 + 4*b - 10. Let x(k) = -2*d(k) - 7*f(k). Determine x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.4 - -58.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 111*s - 27. Let j(q) = 12*q - 3. Let u(o) = 18*j(o) - 2*z(o). Let k(a) = 8*a**2 + 38*a**2 - 5*a**2. What is u(k(p))?\nAnswer: -246*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*t**3 + 3*b*t**2 + 2*b*t + 17*t**3 - 21*t**2 wrt t.\nAnswer: -18*b + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42180 and 6573.\nAnswer: 92416380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005119526237 rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674021688.\nAnswer: 2, 3, 51028079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((5 - (10 + -9)) + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from hijhjjhhji?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 36. Let b be 0 - -1 - 88*-1. Suppose 0 = s + 3*j - b, -4*j + 393 = 5*s - 2*j. Calculate the highest common divisor of o and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(10\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 965.3943 months?\nAnswer: 8.0449525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974505878?\nAnswer: 2, 3, 19, 31, 186239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-96)\/(-21) + -5)\/((-7)\/49). Suppose -p*j + 62 = d, -59*d + 54*d = -5*j + 90. Calculate the least common multiple of 160 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 1. Let k(q) be the second derivative of -q**4 + 4*q**2 - 4*q - 4. Calculate 8*f(i) - k(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 61*n**6\/30 + n**5\/20 - 22*n**2 - 5*n + 9. What is the first derivative of d(c) wrt c?\nAnswer: 244*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 + 110 - 81*i + 254.\nAnswer: -81*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12 - 1 - 11 + t. Let k = -3 + 9. Calculate n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6.1. Let h = 10.77 + -11. Let n = -0.07 + h. Sort b, -3\/4, n in increasing order.\nAnswer: -3\/4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.551838kg?\nAnswer: 551838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 - 2*w - 2. Let t be q(-1). Let r(d) = -d**3 - 6*d**2 + 6*d + 1. Let n be r(t). Solve -5*s + n*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q + 110*q - 18*q - 3*q to the form x*q + b and give x.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 17*l**2 + 46*l + 9. Give x(-14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 3*j + j)*(-7*j + j - 6*j) - 5*j**2 + 4*j**2 + 3*j**2 to q*j**2 + y + l*j and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -17, -7, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 11 = 3*p, -3*r + 3*p - 7 = -31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272312697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -21*f + 187 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 2, 0.02, -0.03, 0?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/9*(-81)\/(-486)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-8)\/(-206))\/2. Let a = r + -313\/206. Let j = 11 + -6. Put j, -1, a in decreasing order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*j**4 + 4\/3*j**2 + 0 - 2\/3*j - 5\/6*j**3.\nAnswer: j*(j - 2)**2*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -10. Let y be -2*2*c\/(-8). Let n(p) = p + 1. What is the units digit of n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -31.967. Let k = -9.433 - z. Let x = k - -9.5. What is the nearest to x in 2, -2, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j - 2. Let b be g(1). Suppose 2139 - 690 = -b*d. Let n = -274 - d. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:05 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/28 (c) 2\/3 (d) 0.07 (e) -3308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665 at most 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**7\/42 - w**5\/3 - 9*w**2 + 4*w. Let x(d) be the first derivative of n(d). What is the third derivative of x(k) wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k + 1708 = 1148. Are k and -478\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 8) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 678416 and 648.\nAnswer: 54951696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.051373767 from -0.0255.\nAnswer: -0.076873767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v + 4. Let q be d(-4). Suppose 4 = 5*f - 3*f. Let s(k) = 4*k**2 - 4 - k**3 - 2*k**2 + f*k**2 + 3*k + k. What is s(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -4, -14, 9, 109, -8 in ascending order.\nAnswer: -14, -13, -8, -4, 5, 9, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*y - 18, -a + 7 = 17*y - 20*y. Solve f + f + a = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(72\/8)*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -159*j. Let m(v) = -v - 6*v + 9*v + 0*v. Calculate m(y(q)).\nAnswer: -318*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15714.1 - -17654. What is k rounded to the nearest 10?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 14 = -3*b, b + 5*m + 7 = 29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 548\/5. Which is the biggest value? (a) -2 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -19. Let t = 38 - 5. Suppose 4*l - t = -13. What is the remainder when p is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 7411.\nAnswer: 666990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 4. Let n(d) be the second derivative of -d**3\/3 + 5*d**2\/2 - 373*d. What is -4*n(b) - 6*r(b)?\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*g + 493*g - 1868 - 863 - 272 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -61*y**4\/4 - 5*y**3\/3 - 3*y**2 - 8*y + 6. Let v be p(6). Round v to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -34. Calculate the lowest common multiple of 14 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bbyhcchhhybyybhch?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lly when three letters picked without replacement from {l: 7, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*x**2 - 1372*x**4 + 22 + 3 - 33 wrt x?\nAnswer: -32928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*4\/(16\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 24. Is t(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 520 + -34?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 + 2*j**2 + 2*j + 1. Let t be d(-1). Let f(c) be the second derivative of c**4\/12 + c**3\/6 - c**2 - c. What is f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:01 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649\/527 + -3 + 10\/(-155)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -1, -2, -5, -10, -17, -26?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/5*3\/9. Let b = y - -4. Suppose 5*m - 36 = m. Solve b*z + m = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3714950 + 23?\nAnswer: -3714927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552616 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(175) + sqrt(175) + 2 + -3 + (sqrt(175) - (sqrt(175) + 1 + -2))))**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 8) to base 12\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 579033 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(51) - sqrt(459))*3)\/(sqrt(24)\/sqrt(2)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) - (-3*(sqrt(1188) - (sqrt(1188) + sqrt(1188)*-6 - sqrt(1188))) - sqrt(1188)))\/(sqrt(22)\/(sqrt(8)\/(4*sqrt(4)) - sqrt(2) - sqrt(2))).\nAnswer: -483*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27601.15 days to hours.\nAnswer: 662427.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.844+-237050213\nAnswer: -237050216.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c - 4*c**3 + 5*c**3 + c**2 - 3*c**3 + 86828. Let q be w(0). Suppose -5*k - 586828 = -q. What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -17170.\nAnswer: -17169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10e66 (base 15) to base 12.\nAnswer: 27213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -4, -15 in descending order.\nAnswer: -4, -15, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/4750*-19*((-2)\/(-2))\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(98)))**2.\nAnswer: 896*sqrt(2) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 + (-29)\/20184*841?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -953, -848, -575, -50, 811, 2092?\n\"Answer: 14*c**3 + 7*c - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4 + k**2 + k**2 + 4*k + 4. Suppose -8*s + 4*s = -24. Let m be b(s). What is the highest common divisor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 549?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/13 and -33\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g**2 - 4*g - 4. Let u(v) = -4*v**2 - v - 1. Give -4*c(z) + 14*u(z).\nAnswer: -4*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2125 by 2125.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -262, -896, -2140, -4198?\n\"Answer: -34*b**3 + b**2 + 7*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m + 1681 = 988 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**5\/60 - 11*g**4\/12 + 44*g**2 - 75. Let r(a) be the second derivative of o(a). Solve r(p) = 0 for p.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13 = 4*h, -2*d + 1 = -5*d + 2*h. What is the least common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/347 (b) 0.1 (c) 4\/5 (d) -7 (e) 53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 74 = 3*r + 8*y, 0 = -3*r - 2*y + 46. Is r less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 10*o + 10. Which is the nearest to 1? (a) -2\/7 (b) -0.1 (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146765 - -25830707\/176. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Let k = r + 20. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3660)\/(-1525))\/((-132)\/4070).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3980188632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 + (-2)\/(-4)). Let i = -4.98 + -0.02. What is the third smallest value in c, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -19 - (15 + 0 + (-62 - 2)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5*c. Suppose -3*m - 4*o + 10 = -5*m, 0 = 4*m + 2*o + 20. Is i(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*b + 5*b**2 - 96*b - 3*b**2 + 1 to y*b + x*b**2 + u and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -124, -151, -178, -205, -232, -259?\n\"Answer: -27*w - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 28*v**3 + 10*v**2 - 2*v. Let i(p) = 28*p**3 + 8*p**2 - 2*p. Determine 4*a(n) - 5*i(n).\nAnswer: -28*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 5\/4 (c) -5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 3.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 9*o**2 + 14*o + 26. Let a be m(6). Put a, -51, 3 in decreasing order.\nAnswer: 3, a, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j - 139 = 165 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/10)*(o**(1\/8)*o*o*o*o)\/o)**(3\/22) assuming o is positive.\nAnswer: o**(507\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2450279 to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -73. Let u be ((-1)\/(-2))\/((-741)\/342). Which is the third biggest value? (a) 4 (b) -1 (c) u (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**2\/2 - 18. Determine f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -39448 and -39448 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16 and 47\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.206298 rounded to zero dps?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*j**3 - 29*j**3 + 67*j**3 - 6*j**2)*(-3*j + 2*j + 2*j).\nAnswer: 83*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2403134 (base 5) to base 10.\nAnswer: 44169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 9*s - 8. Suppose 0 = -10*m + 9*m - 6. What is the remainder when 46 is divided by g(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18\/(15\/5) - -2 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - 3*c, -3*c + 6 = -t - 8*c. What is the units digit of (-1)\/3 - (-480)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 - 87*n**2 + 18*n - 24. What is o(11)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 15. Let b be 70\/(-4)*252\/(-45). Suppose -a = i - 0*i - b, -4*i = 3*a - 389. Calculate the remainder when i is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -53*f**3 - f**2 + 13*f + 2. Let i(n) = -52*n**3 - n**2 + 17*n + 2. Let y(t) = 3*i(t) - 4*v(t). Calculate y(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x - 1. Let u be w(-2). Suppose 4*p = u + 5. What is the common denominator of p\/(-9) + (-118)\/(-36) and -13\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.1965ml to litres.\nAnswer: 0.4081965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.0258, -2?\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84781497?\nAnswer: 3, 31, 131, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*m + 26, 4*b - 2*m - 1 = 23. Let q be (10\/(-2) - -3) + 1 - 2. Let g be (q - -6)*(8\/6)\/2. Solve -y + b*y + 24 = 5*j, g*y = -2*j + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 280 from -47833769.\nAnswer: -47834049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y + 5*y - 14553 = 0. What is the remainder when 1882 is divided by y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Let i = -0.007 - -0.007. What is the nearest to -2 in -2\/15, b, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 1, a: 4, q: 1}. What is prob of sequence azr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023678517 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -152, -219, -304, -413, -552, -727?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t)**20*t**5\/(t*t*t*t**20*t*t))**41 assuming t is positive.\nAnswer: t**(-4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2332 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/359 and 89\/130.\nAnswer: 46670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 35, 5, 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 1157*v**2 + 2321*v + 3477.\nAnswer: -(v - 3)*(v + 1)*(v + 1159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2331526 (base 12) to base 5\nAnswer: -3214030100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/3 - 22883*m**4\/3 + 2459307*m**3 - 31057114*m**2\/3 + 36425980*m\/3 - 2426872 = 0. Calculate m.\nAnswer: -6027, 1\/4, 2, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 103970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:03 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 16. Let s be (5 + f)\/(3\/(-24)). Solve -24 + s = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 - g**4\/24 + g**3\/3 - 14*g**2. Determine v, given that l(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 5*g**2 - 5*g + 2. Let s be d(-4). Let b be ((-21)\/(-5))\/(3\/(-20)*-2). Calculate the highest common factor of b and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 16*d**4 - 41*d**3 - 26*d**2 = 0. What is d?\nAnswer: -13, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 5. Determine m(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/15? (a) -3 (b) -3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (3 - -16) - (1 + 6)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9436921 is divided by 74306.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpddiirdrrdriir. Give prob of sequence diii.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376474.\nAnswer: 2, 11, 19, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(45\/(-4572)) + 3\/1. Is 38 a factor of 2 + j\/(-5) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t - 62. Let z(d) = -d**3 + 37*d**2 + 80*d - 69. Let a be z(39). Let l be s(a). Calculate the greatest common divisor of 53 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 15 - (35 - 21). Solve 0 = -8*a + 8 - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3757250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129429 and 21?\nAnswer: -2718009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/42 - (4 + 367510\/546). Are 7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 139, 237, 365, 529?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 14. Let l be y(8). Suppose j = l*j - 25. Suppose -131 = -5*o + 4*v + 186, -j*o + 319 = -3*v. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 10) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -122, -38\/3, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2*c - 18, 4*c = -2*m + 3*m - 8. Suppose 7*w - 8*w = -2*s - 158, -628 = -4*w + m*s. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*9\/72)\/((-18)\/16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v - 2*v)*((1937*v + 40*v - 1166*v)*(2 + 0 + 3) - 2*v + 2*v + v).\nAnswer: 8112*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90)\/25 + 2\/(-5). Let q be -9*(g\/(-3) - 2). Let n(a) = 8*a**2 - 2*a - 6. Let s(j) = 7*j - 17*j**2 + 13 - 3*j + 0. Give q*s(h) + 13*n(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*7\/(14 + 0). Let o be ((-4)\/12 - 1)\/(h\/(-84)). What is the greatest common divisor of 152 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 times 13249?\nAnswer: 3153262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 38 + c**3 - 2*c - 40 - 8*c - 9*c**2. Let u be p(10). Is 14 a factor of (182\/(-65))\/(u\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let o = 0.8 + -1.3. Which is the nearest to d? (a) -4 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 5*s + 1. Let k(o) = 4*o**2 + 11*o - 2. Let g(r) = 4*k(r) + 9*l(r). Let y be g(-2). Let f = 1 + y. Is -2 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 33\/17 (c) 24 (d) 0.1 (e) -938 (f) 0.5 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23768, 46929, 70088, 93245, 116400, 139553?\nAnswer: 162704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3107026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/6)\/((-18)\/288))\/2\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.8 + 6. Let o = 3048.1559989 - 3047.956. Let i = p - o. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 3*w - 4. Let n be m(-4). Suppose 0 = 2*g + 2*g + 8, 0 = 4*k + 2*g - n. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 2571585.31?\nAnswer: 2571582.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*t = -0*u + 6, 0 = 4*t. Let l(z) = -3*z**2 - 5*z - 2. Let j(g) = -g**2 - g - 1. Let h(o) = -2*j(o) + l(o). What is the units digit of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 220041, 219465, 218889, 218313, 217737, 217161?\n\"Answer: -576*w + 220617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 9*t - 162.\nAnswer: 3*(t - 9)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/3, -41, 53 in descending order.\nAnswer: 53, 0.5, -2\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7031, 7043, 7063, 7091?\nAnswer: 7127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4422.2867 and 1050.\nAnswer: -3372.2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -8\/105*u**7 + 0*u**4 + 1\/84*u**8 + 1\/6*u**6 - 2\/15*u**5 + 0 - 10*u**2 + 0*u**3 + 0*u. Factor i(k).\nAnswer: 4*k**2*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221767886177+-4\nAnswer: 2221767886173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + -1102232200?\nAnswer: -1102231220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04718*0.6.\nAnswer: -0.028308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4476*13805\nAnswer: -61791180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/2 - 19*a**4 - 305*a**3\/2 - 225*a**2 = 0.\nAnswer: -5, -2, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100001100?\nAnswer: 1100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 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: Calculate the remainder when 1917646 is divided by 2126.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - 3*h**4)*(h + 2*h - 5*h) - 60*h**5 + 4338*h**4 - 4338*h**4.\nAnswer: -54*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009692175 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.56583 rounded to the nearest integer?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 of a centimeter in millimeters?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2184396 and 1276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/6*(1 + 50355)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147.95 - -151. Let o = h + -0.05. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 49 - 189)*(-3*m**2 + 5*m**2 + 0*m**2) + (-4*m + m + 0*m)*(-2 - m + 2).\nAnswer: -633*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 - 169 + 34*q)*((-5 - 2 + 3)*(-4 + 0 + 3) + 0 + 1 - 3 + (3 + 1 - 5)*(2 - 1 + 0) + 0 + 1 + 1).\nAnswer: 102*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5\/3 + 6655*j**4\/3 - 269995*j**3\/3 - 896755*j**2\/3 + 386700*j = 0.\nAnswer: -4, 0, 1, 45, 1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40622*c + 40615*c + 40623*c + 40628*c - 162483*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497093701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, n: 3, v: 2, d: 8}. Give prob of picking 1 n and 1 d.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156.46242 - -0.3.\nAnswer: 156.76242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(18\/24)\/((-18)\/(-20)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.048 + -0.052. Let w = 5 + -9. Let n = 4.4 + w. Sort 5, n, z, 4\/5.\nAnswer: z, n, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.5 - -17. Let i = -7 + g. What is the third smallest value in 0.3, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 45*a**4 + 30*a**4 + 1 + 14*a**4 - 9*a**3 to z*a**2 + b*a**4 + s*a**3 + v + o*a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + b + 5. Give t(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 396, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11444 (base 5) to base 13.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 264, 958, 7 in ascending order.\nAnswer: -4, 7, 264, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130258554.\nAnswer: 2, 565129277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237495542 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 17, 45, 85, 137?\n\"Answer: 6*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1110010011001111000?\nAnswer: 1110010011001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12665 divided by 149?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 20*c - 3*c + 2*c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-7*r + 6 - 6) - 2 + r + 2 - 1 + 1 - 2*r + (0 - 4 + 2)*(0*r - r + 2*r) - 4 - 3*r + 4 + 3 - 3 - r to the form p*r + f and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkktftkzkiktzpkkkk. Give prob of sequence ktti.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1138 - 278. Suppose -17*s - 26*s = -o. Solve -4*u = u + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170 + 0*z - 2*z**2 + 183 + 4*z + (-4*z**2 + 3 - 3)*(3 - 3 + 3) to q*z**2 + h*z + d and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*o**5 + 76*o**4 - 18*o**3 + 13*o - 498.\nAnswer: 3160*o**3 + 912*o**2 - 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 6*u)*(70*u**3 - 60*u**3 - u**2 - 41*u**3).\nAnswer: 186*u**4 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - (-15)\/5)\/((-2)\/332) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210350 (base 6) in base 7?\nAnswer: -353355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17325 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 4, 4\/3, -19689.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 7108?\nAnswer: 710a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -44*w + 4. Let n(r) = 13*r - 2. Let m(k) = -4*l(k) - 13*n(k). Determine m(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/(3\/9). Suppose 5*m + 0*q - q = -18, 0 = -g*m - 5*q + 9. Let w = m - -19. Calculate the smallest common multiple of w and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Calculate the least common multiple of -4*(w - (-1)\/(-2)) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuafae. Give prob of picking 1 a and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 245*l - 3766350 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7383 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a**3 + 0*a - 18*a**2 + 46*a**2 - 49*a**2 - 17*a.\nAnswer: -a**3 - 21*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + v - 5*v - 6*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**2*n**3 + 6*f**2*n - 3*f*n**5 + 21*n wrt n?\nAnswer: 60*f**2*n - 60*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 5, -5, -1, 3, 1 in ascending order.\nAnswer: -5, -1, 1, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -179071773 times -0.4\nAnswer: 71628709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 + 4*m**3 - 11*m**3)*(148*m - 265*m + 2 + 144*m) to w + f*m**3 + b*m**4 + i*m**2 + q*m and give b.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/720 and 161\/450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4755, -9572, -14475, -19464?\n\"Answer: -43*f**2 - 4688*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2) + (-22)\/(-33)*-3. Suppose -4*r = g, 0 = -5*i + 4*r - 5*r - 25. What is the fourth biggest value in 1\/4, i, 3, 25?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -3334?\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*n + 69*n + 842904 = -23*n. What is the highest common divisor of 72 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 445*n**2 - 145*n - 839. What is the hundreds digit of k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 44559.64 milligrams?\nAnswer: 0.00004455964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/3)*o)**3\/(o**1)**(49\/5) assuming o is positive.\nAnswer: o**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 520*k - 138. What is the remainder when d(3) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272*c**2*r*u**3 + 2*c**2*r + 2*c**2 + c*u**2 + 26*u**3 wrt r?\nAnswer: 272*c**2*u**3 + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*c - 6644, 4*o = -0*c - c + 1661. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 24\/20*(-5)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2363695733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 651 - -3?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*0\/((-15)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 525 = -0*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 5*l**2 + l**2)*(4 - 1 - 4)*(-38 - 98 - 41)*(-5 + 5 + 3)*(3*l + 4*l - 6*l) to the form o + u*l**3 + y*l**2 + g*l and give u.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 425775 to the power of 1\/2, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 620013795.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 9*z**2 - 2*z + 5. Let a = 41 - 41. Let x be (2 - a)\/((-7)\/21). Is l(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 42*c - 538. Calculate a(52).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b + 10. Is u(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23574621547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14307 + -14308. Let d = 442\/5 - 88. Let w = -5\/7 + 3\/14. Which is the closest to d? (a) w (b) v (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32 + 8.32. What is the nearest to -0.1 in r, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-9)*o*o**(-4)*(o\/o**(-2\/7))\/(o*(o**(7\/6)\/o)\/o*o*o) assuming o is positive.\nAnswer: o**(-499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/3, 0.3, -1\/8, -238\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 - 232*t = 0. Calculate t.\nAnswer: 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1160)\/4640*8\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42821 + -65567. Let f = v + 2115344\/93. Let n = 7863\/11 + -716. What is the common denominator of n and f?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 - k - 14. List the prime factors of j(-4).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9) + (-32 - -24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -6 in descending order.\nAnswer: 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5909410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34 - (6 - (4 - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12677 - 8678. Suppose 4*q + 2*s - j = 317, 4*q + 4*s = 4308. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606546 (base 7) to base 13\nAnswer: -37c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 6. Let p(z) = -z + 30. Let n(x) = -p(x) - 5*w(x). Let t(u) = 2*u**2 + u + 0*u - u. Determine n(t(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 + (5 - 12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 2\/9*t**3 + 1\/90*t**5 + 56*t**2 + 0*t + 1\/12*t**4 + 2. Solve n(l) = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m - 29. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3460\/175 - 20) + (3 + 0)\/(-15).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1590055\nAnswer: -1\/318011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and 83\/430.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 5\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834521352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464772*n + 709389*n - 592077*n + 3487719*n.\nAnswer: 5069803*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h - 1. Let q(x) = -11*x + 2. Determine -5*b(w) - 4*q(w).\nAnswer: -6*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 14*j = 4. Suppose -18 = j*h + 12. Let k be h*((-6)\/9)\/2. Solve z = k*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/(90\/420)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 2*p + 4*p)*(0*p + 0*p - 2*p) + p**2 - p**2 - 2*p**2 - 5 + 5 + 9*p**2 + (4*p - 2*p + p)*(p + 0*p + p) + 35*p**2 - 6*p**2 + 19*p**2.\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4125)*45*-11.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.62309 litres in millilitres?\nAnswer: 46623.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175 + 139*l**4 - l**3 + 59*l**4 - l**3 wrt l?\nAnswer: 792*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*k**2 - 87*k**2 - 114*k**2.\nAnswer: 331*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-218)\/654*(39\/13 + (-25)\/3). Suppose -4\/9*y**2 - 8\/3*y + b + 2\/3*y**3 = 0. What is y?\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 82383.\nAnswer: 1\/27461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -130?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 19*a + 82 - 31 + 11*a**2 + 25. Is 12 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 3*u**5 + 3*u**5)*(4 - 4 - 6 + (-3 + 14 - 8)*(-3 - 1 + 3) + (-1 - 3 + 2)*(-3 + 5 + 2)).\nAnswer: 34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77788 + 77801 - 155589 - 18*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 772*o - 801*o - 551 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4307875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3780933, -3780914, -3780883, -3780840?\n\"Answer: 6*d**2 + d - 3780940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2770*o**2 + 3537.\nAnswer: 5540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -3*c + 7502. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 18. What is x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*z**4 - z**3 - 84548*z**2 + 199630620 with respect to z.\nAnswer: -836*z**3 - 3*z**2 - 169096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cucc when four letters picked without replacement from {c: 5, b: 1, l: 1, j: 5, u: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25564, -22582, -17602, -10618, -1624?\nAnswer: 9386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*q - 19 - 9, 0 = 5*v + 4*q + 30. Let k be (-13)\/52 + 17\/4. Let p(l) = 3*l**2 + 0*l**2 + 2*l + 5*l**3 + 1 - k*l**3. Calculate p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00189554 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 63940128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19300 divided by 3860?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700)*2)**2 - sqrt(1700) - ((sqrt(1700) + 1 + sqrt(1700))*1 + sqrt(1700))**2.\nAnswer: -8497 - 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t - 12 = 0. Let z(x) = x**3 + 1. Let k(j) = 4*j**3 + j + 5. Give t*z(c) + k(c).\nAnswer: -2*c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -3*d + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvdunvndd. What is prob of sequence dv?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 2*x - 28. Suppose 55 = 4*v + 4*u - 25, v - 2*u = 32. Calculate the remainder when v is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**3 + 0*m**2 + 0 - 1\/10*m**5 + m - 1\/4*m**4. Find the third derivative of h(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 19. Suppose z - 3*w = -q, 0*w = z - 2*w + 4. Find the third derivative of -n**4 + 5*n**4 - 3*n**2 - 2*n**z wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = 3*f, 5*f = y - 0*f - 21. Let x be y*6 + 5 + 5 + -8. Solve 0*t + 2*t = -x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -85 + 3*r + 85 - 6*r**2. Let k(q) be the third derivative of -q**5\/12 + q**4\/12 - q**2. Let b be (-1 - -4 - 1) + -5. Give b*z(n) + 4*k(n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 141, 524, 1171, 2094, 3305?\n\"Answer: 2*h**3 + 120*h**2 + 9*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(-5)\/x*x)\/x)\/x)\/x**(-12))\/(x**23*x**(-2\/29)*x*x))**(13\/2) assuming x is positive.\nAnswer: x**(-3757\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 912021 at least 912019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 8. Let t be d(-8). Suppose t = -3*p + 40 + 2. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023, 2251, 3791, 5799, 8431, 11843, 16191?\nAnswer: 21631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 - (0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*a = -252 + 252. Let f(h) = h**2 - 2*h + 1. Let y be f(3). Solve a = -q - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.495599 years in months?\nAnswer: 41.947188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovvjjjjv. Give prob of picking 1 o and 3 v.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.038509075429 - -0.5.\nAnswer: -98.538509075429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b + 6*b - w - 6, 0 = 2*w + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074848 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 20*k + 12. Calculate c(17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -12. List the prime factors of 16 - w*(2 - 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 1476.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85184?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2175)\/(-1320) + -1 + 6\/(-22).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 6 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*n + 2*x, 5*n = n + 3*x + 46. Suppose -24 = 4*a + 5*w, 3*w - w = -2*a - n. What is the units digit of -5*(-2)\/(a + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150183 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let c be ((-3)\/t)\/(16\/288). Let o = c + 22. Sort o, -1, -4.\nAnswer: o, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bej when three letters picked without replacement from bjpeepe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*x = 17359, 2*x = 29*j - 26*j - 52027. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 694*o**2.\nAnswer: 694*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 491633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 16*p + 40. Let s be q(-2). Solve 39 = -s*k + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:46 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - 5*(sqrt(126) - (sqrt(126)*4 - sqrt(126))))\/(sqrt(200) + (sqrt(2) - ((-1*sqrt(24))\/sqrt(12) - sqrt(2)))).\nAnswer: 33*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 57405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456639573 less than -0.13057?\nAnswer: -456639573.13057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2758 and 673604858.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.06471\nAnswer: 0.06471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) 1 (c) 2 (d) 3\/7 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 454806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/3482550 and -103\/300?\nAnswer: 6965100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(136)*-2 - sqrt(136)))\/(sqrt(32)\/sqrt(4)*4))**2 + (sqrt(68))**2 + -3 + (sqrt(2057) - sqrt(2057)*-3) + 4.\nAnswer: 44*sqrt(17) + 4929\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 40*b - 4201. What is m(-49)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 491121 and 4137?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**18))**(-41)\/(h**36\/h**(14\/11)) assuming h is positive.\nAnswer: h**(-8500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*12\/144?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = v - 67, 11*q = 8*q + 3. Calculate the remainder when 347 is divided by v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a**(1\/2)*a)*a**8*a*(a\/(a*(a\/(a*a**(-3\/4))*a)\/a*a*a))\/(a**(-1\/4)\/a*a*a))**(-17) assuming a is positive.\nAnswer: a**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 247142607 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-38)\/(-4))\/(2\/4). Let b(f) = 46*f - 1. Let q be b(1). Suppose d - q = h. What is the remainder when d is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -39\/5. Sort -0.4, d, -3.\nAnswer: -3, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-36)\/5)\/((-4)\/(-50)). What is the greatest common divisor of 56 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711962 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 255 + 14224?\nAnswer: 14501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**3 - 1 - 15*k**2 + 3 + 17*k**2 - 1 in the form j*k**2 + t + r*k**3 + o*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20595 - -20598. Suppose 15\/2*b**2 - 15\/2*b**4 + 0*b - 3\/2*b**5 + 0 + 3\/2*b**t = 0. Calculate b.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 + 18005129*o**2 - 421991408*o wrt o?\nAnswer: 12*o + 36010258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -676, -2683, -6014, -10675, -16672, -24011?\n\"Answer: -t**3 - 656*t**2 - 32*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142875 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 204, 270, 378, 522, 696?\n\"Answer: -o**3 + 27*o**2 - 8*o + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(76) + sqrt(76))*5)\/(sqrt(32)\/sqrt(8)*4).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-18)*-3*211\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*x + 19*x**2 - 38*x + 3*x**3 + 123*x - 3.\nAnswer: 3*x**3 + 19*x**2 + 142*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1037664231*p**4 + 5354*p**2 + 41026*p.\nAnswer: 24903941544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.86 - 0.7. Let n = -0.06 - v. Let q = n - 3.64. Round q to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(5)*2)*3 - sqrt(5) - (sqrt(25)\/sqrt(5) + -2).\nAnswer: -5*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -7) + 0 + 4. Let y = 2 - a. Let o(d) = d + 7. Let h(i) = i + 7. Let s(r) = 6*h(r) - 5*o(r). What is s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2887820 + -7350370. Let u = p - -4462550.09999985. Let l = -0.1 + u. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 9*v + 17 + 25 - 5*v - 11 in the form i*v + q and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -174?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 227*y**2 + 95*y + 34. Determine u(-76).\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -379*k + 12. Let r(m) = 190*m - 7. Give 7*r(p) + 4*t(p).\nAnswer: -186*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 4*j**2 - j**2 - 4*j**2 + j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3, 5, -47, -39, 4.\nAnswer: -47, -39, -3, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:09 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 12151854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 29146696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 529516.874 + -531067. Let a = d - -1150.68. Let t = a - -399. Round t to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)\/(p**4*p)*p**2*p**19)**36 assuming p is positive.\nAnswer: p**(4008\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7339 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 8, o: 5, c: 2, u: 2, m: 2}. Give prob of sequence wou.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 26\/7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:33 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 85. Let v be (n\/(-12))\/(4\/12). Suppose -v*h + 8*h = 3027. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 1\/7 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s**3 - 2*s**2 - 4*s + 6. Let g be o(2). Let a(w) = -44 + 94*w - w**2 - g*w. Let x(t) = -11*t + 7*t + 6*t. Give a(x(q)).\nAnswer: -4*q**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxdqxmrdddxdd. What is prob of sequence dq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let w be p\/(-2 - 12\/(-5)). Let m(c) = -c**2 + c + 1. Give m(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2962640445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -787 + 1793. Suppose 4*w - f = -y, 4*y - 2*w = w + 4024. Is 56 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:51 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 + 24 + -10. Let m be (100\/30)\/((-4)\/(-6)). Solve a + m*a = -p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133761, -267430, -401099, -534768?\nAnswer: -668437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -55 times -4.30454\nAnswer: 236.7497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 257. Let v(t) = 68*t. What is o(v(j))?\nAnswer: 408*j + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 723299 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/(4\/(-575736)). Suppose 15*b = -6*b + l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -90?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 353766?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - 1 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11162.124 rounded to the nearest 10?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27600111, 27600110, 27600109, 27600108, 27600107?\nAnswer: 27600106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b036 - 3?\nAnswer: -2b039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/4 (b) 21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 9*q**2 - q + 8. Let y be t(-4). Let k = y + -68. Calculate the remainder when 42 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 1805472 - 331935 = 0. What are the prime factors of v?\nAnswer: 37783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*-26*(-9)\/24. Let p = l + 47. Suppose -5*y = 4*g - p, 5*g - 5 = y + 1. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.5 - 12.66. Let d = -0.16 - h. Let o = -4.92 + -0.08. Which is the third smallest value? (a) o (b) d (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 29447?\nAnswer: -2944c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8008 + 8010. Suppose 0 - 16\/7*j - 450\/7*j**4 - 152\/7*j**n - 460\/7*j**3 = 0. Calculate j.\nAnswer: -2\/5, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41320 (base 5) to base 12.\nAnswer: -169a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102, -4315, -6528, -8741, -10954, -13167?\nAnswer: -15380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and -3.35.\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12616 and 40?\nAnswer: 63080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 828321554 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 28. Let l = 80095 - 80094. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-120)\/(-600) - 51318\/(-10).\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1800 and -19\/3150.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 84 in decreasing order.\nAnswer: 84, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -3*b = 9 - 0. Put b, 11, v in descending order.\nAnswer: 11, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470 greater than or equal to -102568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 9. Suppose -c - 2*c + 71 = 4*j, 69 = n*j - 3*c. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/61185 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111134 - 245*a - 111134.\nAnswer: -245*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 14 + 14 + (-242 - 17*g + 242)*(0*g - g - g))*(g**2 - 3*g**2 + g**2).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 596 - 598.625. Round x to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1476\/545 + 10\/109. What is the common denominator of (9 - 11)*(310\/12)\/(-5) and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 5*(-3 + -1). Let b(h) = -2*h - 2. Let d be b(-3). Suppose j - 27 = -q - d*j, -q + 4*j - g = 0. Solve -t - q = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116552 - -173452. Is 4 + f\/6 - 3\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4 - 4)*(23 - 26 - 14)*(6 - 13 + 13)*(-2*m + 2*m + m).\nAnswer: 102*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188466 and 246238.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 * -934706\nAnswer: 6449471.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + 7 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -54 + -3 + (-174 - -275)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 134 - (-5 + (35 - 43)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 8*f - 2. Suppose -15*k - 5*n = -12*k - 49, 4*n = -k + 28. What is q(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137818, 273940, 410064, 546190, 682318, 818448?\n\"Answer: b**2 + 136119*b + 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -30.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*y + 141. Let s = y - -87. Suppose i - 35 = -4*l, -i = -3*l + 6*l - s. Solve -3*b + i = v, -3*v + 8*v = 3*b + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 401*w - 200*w - 3 - 205*w. Let j(g) = -2*g - 13. Let u(f) = 4*f + 28. Let z(i) = -13*j(i) - 6*u(i). Determine 2*l(d) + 5*z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*x - 305 = -458*x. Solve 0 = -2*c - 3*t + 9, -10 + 0 = x*c + t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.057 + -37.757. Let x = s + 37. Is x equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 63*t = -64*t + 173688, -2*t = 8. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2929 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 12) + 18 + 36\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 680*g*h*k**2*o - 9*g*h + 2*g*k**2 - g*k*o - 39*g*o - 8*h*k*o - 17*k**2*o - 3*k**2 - 3*k wrt k?\nAnswer: 1360*g*h*o + 4*g - 34*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2. Let z(j) be the third derivative of -601*j**5\/20 + 2656*j**2. Give z(a(i)).\nAnswer: -7212*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -333?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 78.558.\nAnswer: 70.7022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6 + 1. Suppose 2*d - 11 = -o. Let h = d - 4. Sort 5, h, 4 in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1310 divided by -1\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Which is the nearest to 2\/5? (a) -5 (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/2 of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 736757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3935*r**4\/12 + 1540*r**3\/3 + 2*r + 143. What is the second derivative of w(h) wrt h?\nAnswer: -7870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 25. Determine l so that 4*l - 5*l**2 - 2*l**3 + 2*l**2 + 5*l**x = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 0*s + 2*s)*(38*s - 38*s - 21*s**2) as o + g*s**2 + b*s + i*s**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64681 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 78, 121?\n\"Answer: 43*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 - (130 + -130)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m**2 + 8*m**2 + 36*m**3 - 25*m**3 - 16*m**3.\nAnswer: -5*m**3 - 34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 718366109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -295963814?\nAnswer: -295963826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 9 = 0. Let k(l) = l**3 - 17*l**2 + 13*l + 52. Let w be k(16). Suppose w*r = g*r. Solve 3*j + 0 + 6 = r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or -32952.8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2, 1, 1\/4, -36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38049089 at least as big as -38049089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1083720*c**3 + 8*c**2 + 44541484*c wrt c.\nAnswer: 6502320*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.129 + 135.871. Let q = -98 + r. Which is the closest to -0.1? (a) 4 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1317 + 141?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -3*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, h: 3, i: 1}. What is prob of picking 1 l, 1 i, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 32 + -9 - (4 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370 - -482. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 21*h - 4. Let p be q(-20). Let r = -36 - p. Let s(x) = x**3 + 13*x**2 - x + 21. Is s(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440 - (21\/42 + (-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/12 - 4*v**3\/3 + v**2. Let w be k(6). Solve u + 12 = w*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 91, 105, 97, 67, 15?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -606 - 270*m + 158*m + 9*m**2 + 104*m wrt m.\nAnswer: 18*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -168\/197?\nAnswer: -168\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8458879*o**3 + 17433*o**2 - 34866*o - 17433. Let l(p) = 1941*p**3 + 4*p**2 - 8*p - 4. What is -4*b(v) + 17433*l(v)?\nAnswer: 1937*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 382640\nAnswer: -267848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.276 - -0.076. Let l = 0 - -5. Which is the closest to w? (a) -0.5 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21060 divided by -3?\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 50*h - 332. Let p be x(-6). Solve -3*y + 6*m = 2*m + p, -10 = 5*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -y. Let k(l) = -l + 7*l**2 - 6*l**2 + 0*l**3 + y*l**3. Let b(f) = f**2 + 6*f + 6. Let d be b(-5). What is k(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 17*o**2 - 4*o. Suppose 6*i = -12 - 0. Let l be g(i). Let k = 76 - l. Solve k = -4*w + n - 2 + 4, -2*w = 2*n + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -245?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -151 (c) 1 (d) 0.07 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 22302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 0 + 3 + -6. Let -3 + 77*t**o - t**3 + 2 - 76*t**2 + t = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, -305261 in decreasing order.\nAnswer: 37, -5, -305261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13820209 to the nearest integer?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.1060581?\nAnswer: -2.1060581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 3*d. Suppose -n + 5*q = -36 - 12, -5*n + 350 = -3*q. Suppose 13*v - n = -8. Determine p(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15263 is divided by 204.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -19. Let c be 6\/u - (-18)\/(-4). Let m(v) = v**2 + 6*v + 7. Let k be m(c). Solve 4*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4 - 32. Factor 20734*l - d - 20680*l - 2*l**2 + 4.\nAnswer: -2*l*(l - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -201. Suppose -4*b - 88 - 28 = -2*s, 0 = -4*b + s - a. Let t = b + 28. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 8*g**2 + 4*g + 56. Let m be c(-16). Let x = 2058 + m. Solve 0*k + 1\/2*k**4 + 0*k**3 + 0 - 1\/2*k**x = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 - 5*n - 2. Let p be z(-4). Let w be 7*p\/((-4)\/(-2)). Let d = 132 + w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -56*t + 10. Let v be p(-8). Suppose 3*b - 5*b = -v. Let g = b + -108. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.1 - 32.5. What is h rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 31 - 22. Let h(t) = t**2 + 2*t + 1. Let z be h(-2). Let r be (18\/4)\/(z\/18). Calculate the highest common factor of w and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74775500 <= -74775487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5.1. What is the fourth biggest value in f, 3\/7, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -268202349.\nAnswer: -268202344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 23. Let j = d + 21. Suppose -30*a = -j*a - 5. Solve -l - 6 = -a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = 1. Which is the closest to 2? (a) h (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 24, -20*b = k - 18*b - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8368741093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 69.95543 micrometers?\nAnswer: 69955.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249134 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 {a: 1, x: 2, i: 3, h: 5, s: 1}. Give prob of sequence xs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149*p - 146412 = 5554*p + 12766*p + 788100 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 2*d + 2. Let y be s(-3). Let n(b) = b + 0*b - 3 + 3. Let j(g) = 2*g**3 - 10*g. Determine y*j(u) - 10*n(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*d - 10*d. Let s(i) = -6*i**2 + 6*i + 4. Let m(j) = 5*j**2 - 5*j - 3. What is d*s(q) - 4*m(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*k**2 - 5*k - 3*k + 0*k + 6*k + 8*k to l*k**2 + h*k + m and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 3\/(-6))\/((-3)\/84). Suppose -g + p = 7. Solve -3*q - 8 = -g*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 0.4, 0.02, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 8, e: 5}. What is prob of picking 1 x and 3 e?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1723138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -15. Let y be (-1)\/u - (-2944)\/28. Let t be (-1)\/(-4 + 415\/y). What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**15*y)**30)**33 assuming y is positive.\nAnswer: y**(-10890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22513280?\nAnswer: 2, 5, 29, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 10 = 5*j, 4 = 2*j - 4*i. Suppose j*q - 3*a - 7 = 0, 0*q - a = -q + 3. Solve -3*g - q = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -864*h + 2516. Calculate q(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -22*t + 20*t. Suppose -2 + 11 = -t*r, 0 = -5*q + r - 142. Which is greater: q or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 6:47 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w - 123859*w**2 - 3 + 123915*w**2 - 1.\nAnswer: 56*w**2 - 25*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1459, -2910, -4363, -5818, -7275?\nAnswer: -8734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*(w\/w**(-1\/2)*w)\/w*(w\/(w*w**(-2\/3))*w)\/((w\/(w\/w**(-6)))\/w) assuming w is positive.\nAnswer: w**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)*y*y**(-27\/5) assuming y is positive.\nAnswer: y**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q - 8*q + 45*q - 21*q - 96 + 96 - 35*q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**8\/10080 - 13*i**5\/60 + 21*i**2. Let b(y) be the third derivative of q(y). Let n(s) = -3*s - s**2 + 3*s. What is n(b(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100101133 + -10?\nAnswer: -100101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2436002543 + 2436438585.0058. Let t = s + -435987. Let c = t + -55. What is c rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 15\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - 113*j + 115*j + 227 + 106.\nAnswer: 2*j + 693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(-3*(-4 + sqrt(175)))**2*5.\nAnswer: -17194 + 3600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -2\/11 (b) 5\/12 (c) 0.019 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2. Let i(x) be the third derivative of x**5\/60 - 11*x**2. Give i(y(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -165220 divided by 33044?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 24*z - 1. Let g be (0 - 2)*3\/6. Let q(s) = -s. Let r(x) = g*i(x) - 2*q(x). What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -175*p**2 - 103941*p + 5341. Determine x(-594).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230230 divided by 5.\nAnswer: -46046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*j - 8549 + 13127 = -18318 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/14 + 8*y**3\/21 - 5*y**2\/7 + 4*y\/7 - 5. Suppose h(a) = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-3*sqrt(77) + sqrt(77))\/sqrt(11).\nAnswer: -10*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923681200 to the nearest 1000000.\nAnswer: 1924000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.044, 1, 0.5, -1, 7, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 930.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 3*x - x)*(-7 + 6 + 9)*(x - 3*x + 4*x) to m*x**2 + c + y*x and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g**2 + 0*g**5 + 3\/8*g**4 - 1\/12*g**6 - 1\/3*g**3 + 0*g - 13. Factor i(h).\nAnswer: -h**2*(h - 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 12. Let r(x) = 4*x**3 - x**2 + 2*x + 1. Let s be r(-1). Is 18 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54624 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - i**3 - i**3 + 7*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*t**4 + 146*t**4 - 6*t**4 - t**4 - t**4 + t**4 + (-t + t + 2*t)*(t**3 + 0*t**3 + 0*t**3) - 2*t**4 + 0 + 0 + 2*t**4 - 1 + 1 + 0 + t**4 + 0.\nAnswer: 110*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.5. Let n = 518.6 - 519. Which is the nearest to n? (a) 2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjejej. Give prob of picking 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 516 - -31876?\nAnswer: 32392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5667295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/84 and -55\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(2\/47)*x)\/x)\/x**(-16\/7))**(4\/3))**(-7\/4) assuming x is positive.\nAnswer: x**(-766\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 5:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**3 + 3*g**3 + 8*g**3 - 3*g**3.\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 973374*y**3 - 118422870426*y**2 - 2250368417726*y - 2131944573924 = 0. Calculate y.\nAnswer: -18, -1, 243353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by -87510.\nAnswer: -238\/43755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3165, -3185, -3205, -3225, -3245, -3265?\n\"Answer: -20*q - 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 103603*a\/5 + 2946358.\nAnswer: -(a - 142)*(a + 103745)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*d = 45, -2*u - 22 = -3*d + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*u - 2*m - 1014, 527 = 2*u - 5*m. Let z = u + -6277\/25. Let n = -38.5 + 34.5. What is the second biggest value in n, -1\/4, z, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.115 - -66.885. Let a = 2684.36 + -2614. Let m = a - w. What is m rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, -0.032, 1, -123\/4 in descending order.\nAnswer: 1, -0.032, -123\/4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -6, -0.4, -1.29 in descending order.\nAnswer: 2\/25, -0.4, -1.29, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53822 and 1583?\nAnswer: 53822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z - 172, 9*z = 5*z - 5*s - 135. Let g(p) = p**2 + 41*p + 210. Let m be g(z). Which is bigger: m or 15\/86?\nAnswer: 15\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 282. Let m be a(-50). Let v(b) = 4*b + 3. Let z(k) = 50*k + 32. Let g(w) = -49*w - 32. Let c(s) = 6*g(s) + 5*z(s). What is m*v(j) + 3*c(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-5)*(-13 + 474\/42). Factor -r*k**2 - 33\/5*k - 21\/5*k**3 - 6\/5.\nAnswer: -3*(k + 1)**2*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10529537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*h - 9 + 17, 3*n - 4 = 5*h. Let q be n\/6 + 12\/8. Solve q*r + 6 = -5*p, -3*p - 10 = 2*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -0.03, -3, 0, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7300*w**2 - 7994*w**2 + 3287*w**2 - 13408*w**2.\nAnswer: -25415*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - -2.5. Let m = -3.9991 + g. Round m to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113877 - 21522694\/189. Let g = o - -4\/189. What is the closest to g in 5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -40424?\nAnswer: -40415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122252 - -249052. What is k rounded to the nearest one thousand?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -1 - (-72 - -63).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amrm when four letters picked without replacement from {r: 5, m: 8, f: 5, o: 1, a: 1}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - 9*i**3 - 15*i**3 + 38*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1461.\nAnswer: -1\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 554150\/33 - 16791. What is the common denominator of r and 76\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*d - 874*d = 240 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12b0bbc (base 13) to base 4\nAnswer: -112130322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8596 is divided by 4289.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*a = 5*z + 20, 4*z + 30 = -2*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -170, 5 in ascending order.\nAnswer: -170, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -90, -154, -220, -288, -358, -430, -504?\n\"Answer: -a**2 - 61*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.01 (b) -0.2 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 10*f + 22. What is z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Let i(v) = -2 - s*v - v + 5 - 1 + v**2. Let w be (-2 + 0 + 1)*-5. Give i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*k - 246 - 152 + 1 - 58*k)*(2*k**4 - k**4 - 4*k**4) + (2*k**4 - 2*k**4 - 2*k**5)*(6 - 5 - 3).\nAnswer: 7*k**5 + 1191*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 867 + 75. Suppose a + 5268 = 5*g. Suppose 0 = v + 5*w - 3*w - g, 0 = -v + 4*w + 1236. What is v rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -a + 4*y, -4*a - 23 - 2 = -5*y. Suppose 0 = -2*m - 2*m + 20. Suppose 4*x - x = a, -4*h + 84 = m*x. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2523 (base 6) to base 15.\nAnswer: -2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 223.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*c = -46, 140868*h + 6*c = 140867*h + 138 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179.7699961463 + 179.77. What is u rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33503167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(24)\/(sqrt(6)\/sqrt(2))) + (-4 + sqrt(10)\/sqrt(2) + 2)**2.\nAnswer: -3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56357780?\nAnswer: 2, 5, 41, 68729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25785*t**6 + 13*t**3 - 339789*t**2 wrt t?\nAnswer: 3094200*t**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8631, -17264, -25897, -34530, -43163?\nAnswer: -51796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.791 times 28?\nAnswer: 50.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let x = 0.9 - 3.9. Let m = -3.4 - x. Which is the third biggest value? (a) d (b) 1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.6 (b) -2\/15 (c) -5 (d) -0.5 (e) -20\/11 (f) 0.0583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -112. Put p, -19, -5, -4 in ascending order.\nAnswer: -19, -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 - 319*h**2\/2 + 983*h + 2600 = 0.\nAnswer: -325, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24024 and 52800.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -200, 65249 in descending order.\nAnswer: 65249, 5, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -12*c**4 - c**3\/6 + 157*c**2\/2 - 3*c - 11. Differentiate k(q) wrt q.\nAnswer: -288*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2841*t + 565. What is the tens digit of a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 15) to base 3.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*k - 8*k + 22*k)*(2 - 1 + 1) to the form q*k + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11609398.\nAnswer: 2, 43, 61, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 + 1597\/2*2 and 4?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15406613099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48861 divided by 267?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127 + 14 - 35*u**3 + 27 wrt u.\nAnswer: -105*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-5)\/((sqrt(5) + 1*sqrt(5))*1).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47300 and 610600?\nAnswer: 6716600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n - 1. Give h(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 - (-3 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010 (base 3) to base 12.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**2*k*s**3 + 2*i**2*k*s**2*x + 3*i**2*s*x + 10*i*k*s**3*x - 2*i*k*s**2*x + i*k*s*x + i*s**3*x wrt s.\nAnswer: -24*i**2*k + 60*i*k*x + 6*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110\/13, 1, -2.\nAnswer: -110\/13, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 20 = 4*l, -l + 10 = 5*d - 2*d. Suppose q - 200 = -d*q. Let k = q - 19. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 0.089 (c) 10 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625882849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) + sqrt(210)*-1 + sqrt(210))*-5)\/((sqrt(150)\/sqrt(5))\/sqrt(3) + sqrt(10)))\/(3*sqrt(36)\/(sqrt(12) - (-1*sqrt(48))\/sqrt(4))).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3 + -2) - -2. Let q be (-1)\/(-4 + u - -1). Let r be (-27)\/2*8\/(-6). Solve -5*a = -4*t + 7, 0 = 5*t + 4*a - q - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -8. Suppose 4*v = -3*f + 11, 5 = 2*f + 11. Solve z*m = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 15221\nAnswer: 76105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/3*(6 + -2536 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4846191 (base 12) to base 4\nAnswer: 311200311331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1709 = -10*x - 1549. Suppose -316*h + 312*h + x = 0. What is the remainder when (-2)\/4 + (-42)\/(-4) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -837078 divided by 242?\nAnswer: -3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3 + 77. Suppose 0 = -4*u + m + 50. Suppose -26*k + u*k = 15. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = 3*f, 1 = -4*f + g + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5556816.9 milliseconds?\nAnswer: 1.54356025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a171 (base 12) to base 3.\nAnswer: -2222220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6072271 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8308021.3987 + -12090383.4364. Let k = h + 3782132. Let q = -230 - k. Round q to 3 decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(128) - 6*(3 + sqrt(128))) + 1 + (sqrt(128)*2 - sqrt(128)) + sqrt(128) + 2 + 2)**2.\nAnswer: 416*sqrt(2) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 2*g - 2. Let u(t) = 29*t**2 - 11*t - 11. Give 4*u(f) - 22*z(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 20. Suppose 2*a + 5*k = -h, 0 = 2*a - k - 0 - 3. Is a not equal to -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = -6*q. Suppose -x - q*i = -4, -i = 4*x - 4 - 12. Find the second derivative of -13477 + 10*f**x - 15*f + 13477 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-1\/7))\/u))\/(u*(u*u*u*u*u**4)\/u))**(-1\/8))**(4\/35) assuming u is positive.\nAnswer: u**(24\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*g**2 + 938*g**2 - 478*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281982487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2709 is divided by 1327.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/24*37178\/22435.\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, 561, -3\/11, 2\/5, 5, 1\/4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 5450321.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 + -532. Let j = 344 + a. Suppose j = 3*w - 0*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 6.04 (c) 0 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from vhxhhxxvxxvv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-93))\/((-5)\/(-135)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*k - 26. Suppose 23 = 4*w + 7. Let u(r) = -2*r**3 + 11*r**2 - 11*r + 22. Let o be u(w). Is k bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -170*a + 2752. What is the tens digit of u(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/9)\/5 + 25\/3. Let n(l) = -l**2 + 6*l - 8. Let t be n(6). Let q = j + t. Which is the second smallest value? (a) -3\/2 (b) q (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 66*p - 33. What is the units digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (-2 + sqrt(147))*-4 - sqrt(147)) + -3*(sqrt(300) + 2))**2.\nAnswer: -232*sqrt(3) + 10096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117 - -116 - (-26 - (3 - 1))) + 6 + 5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103278 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/(-30) + 1\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 152151, 304271, 456387, 608499, 760607, 912711, 1064811?\n\"Answer: -2*v**2 + 152126*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5252*x - 212*x + 251709 - 49541 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -536 + 530.7. Let i = h + 13.1. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10883449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -724 - -411a?\nAnswer: 35b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/24 + 13*i**3\/6 + i**2. Let f(s) = 2*s**3 + 7*s**2 + s - 4. Let z be f(-3). Suppose 0 = z*o - 14 - 4. What is v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 98*p - 93*p + 10*p**2 + 365*p - 79*p - 95*p.\nAnswer: 10*p**2 + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-14)*21\/(-2). Let z be 12\/(-14) - x\/14. Sort -17, z, 5, -4 in ascending order.\nAnswer: -17, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9767 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.42 + -30.32. Let k = -2 - -1.9. What is the closest to -2\/7 in k, 0, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5423*l**2. Let j(a) = -18*a**2. Determine j(m(f)).\nAnswer: -529360722*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let g be 27\/36 + 194\/8. Let k(y) = -1 + g*y - 57*y + 25*y. Let d(i) = i. Give a*k(x) - 5*d(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 64 = -3*h, 2*o - 58 = -5*h. Suppose 16*t - 3 = o*t. Let a be -2 + (1 - -2) + t\/(-1). Solve -m = -2*m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011110 (base 2) in base 12?\nAnswer: 6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 3. Let f be l(-6). Solve -2*j = 3*z - 25, -f*z + 3*j = 7*j - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3945420 is divided by 559?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*u + 23*u - 64*u + 13*u**6 - 49*u**2 - 3*u**5 + 25*u wrt u?\nAnswer: 1560*u**3 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, t: 3, z: 6, q: 1, h: 3}. Give prob of picking 2 p and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {u: 4, m: 2, z: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjr when three letters picked without replacement from jjjttrttjtjfrrrjtr?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -720819.4 rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/11 + (-2646)\/(-594). Solve a - 18 = -j*c, 5*a + c + 0*c + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -50*i - 37*i + 176*i - 44*i - 41*i. Let f(d) = -10*d - 3. What is w(f(n))?\nAnswer: -40*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107788, -215688, -323588, -431488?\nAnswer: -539388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3782 and 2790?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:01 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 3*c, 4*c - 10 = -3*w + 3. Let l = 6 - 2. Find the common denominator of w - (33\/4 - l) and -10\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68192676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -2)*158\/395?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:27 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:18 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150287218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1744331.\nAnswer: -697732.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 49, 3\/4, -0.0059, 14?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 11) to base 12.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and -29\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*i + 63*i - 1. Let a(v) = -16*v**2. What is a(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*j + 151*j - 354*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 30, 44?\n\"Answer: 14*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r*v**3 + r*v**2 - 396*r*v + 34*v**3 + 206*v wrt r?\nAnswer: v**3 + v**2 - 396*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/3, -0.08, -1\/2666, 0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-12) - 3\/(-2). Let l(j) = -j - 2. Let c be l(-8). Let t be (1 - (2 + 0)) + c. Solve 0 = -2*b + b + 2*v - 6, -t*v + 18 = -m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -88\/225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) -2 (d) -0.04 (e) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2385)\/(-90))\/(-53))\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-112)\/(-36))\/((-24)\/108). Let d(x) = -x - 28. Give d(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1497899, -2995797, -4493695, -5991593, -7489491?\nAnswer: -8987389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:04 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -6055?\nAnswer: -6052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*h*v**2 + h*v*z - 6*v**2*z - 8*z wrt z.\nAnswer: h*v - 6*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 498016, 498008, 498000?\n\"Answer: -8*m + 498024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655807752.\nAnswer: 2, 17, 3001, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 320639 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -79\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -6105702\nAnswer: 299179398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Let p = -279 + 283. What is the smallest common multiple of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 21. Let n be j\/60 - (-1)\/(-5)*-11. Suppose 6*r - n*r = 68. Solve -15 = -2*d + 5*h, r - 4 = 3*d + 2*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4336, 3\/17, -2\/11, 0.01.\nAnswer: -2\/11, -3\/4336, 0.01, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1763360 divided by 440840?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, k: 2}. Give prob of picking 2 k and 2 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3090, 3114, 3140, 3168, 3198?\n\"Answer: c**2 + 21*c + 3068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c**2 + 19*c - 13. Let m(d) = -6*d**2 + 9*d - 6. Let z(g) = 5*m(g) - 2*n(g). Let y(a) = 4*a**2 - 6*a + 3. Calculate 6*y(u) + 5*z(u).\nAnswer: 4*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/6903 and 56\/4993937.\nAnswer: 44945433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 - 3*96\/(-126). Suppose 139 + 123 = i*r. What are the prime factors of r?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 1, d: 1, i: 1, g: 1}. Give prob of sequence id.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -2. Let x(y) = -2*y**3 - 2*y**2 + y - 1. Let b be x(-2). Suppose -5*o = -n + 7 + b, -3*n + o = -f. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6732 and 161964?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570073, -1140149, -1710225, -2280301?\nAnswer: -2850377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let w(l) = -61770240*l. What is t(w(x))?\nAnswer: -61770240*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/10)*a*a*a**(3\/17)\/a)\/((a**(3\/2)*a)\/(a\/(a\/a**5))) assuming a is positive.\nAnswer: a**(389\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + 1a4?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -21*z + 342. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -39, -67, -115, -189, -295?\n\"Answer: -l**3 - l**2 - 4*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 56*m - 169*m + 2 + 54*m.\nAnswer: -10*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y + y + 0*y. Let t(k) be the first derivative of k**5\/30 - k**2 + 2. Let v(u) be the second derivative of t(u). What is h(v(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.25 and -5333?\nAnswer: 5332.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 8*m - 6. Let u be h(9). Suppose 0*t + 47 = -2*j - u*t, 5 = -5*t. Let p = j - -21. Which is smaller: p or -1\/39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.72 (b) 4 (c) -2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + -182. Solve -7 = -j*c + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7297*f**2 - 7297*f**2 - 57*f**3)*(-6*f**2 + 8*f**2 + 8*f**2).\nAnswer: -570*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -116. Let g be (-146)\/(-30) + (d\/60)\/4. Suppose -9*i + 3*l = -7*i - 77, -186 = -g*i + l. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11328 - 10965. Calculate the remainder when d is divided by 313.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(14 + 1)\/(-3). Suppose 32*l + 0 = -0. Sort 1, l, 2, h in decreasing order.\nAnswer: h, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 124?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.37975 rounded to two decimal places?\nAnswer: -38.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-2)*6\/(-5) - -2. Let f(n) = -n**3 - 6*n**2 + 4*n - 5. What is f(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1463*m. Let v(s) = -9*s**2 + 992. What is v(a(r))?\nAnswer: -19263321*r**2 + 992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2992 and 17578.\nAnswer: 140624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21356 and 912?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1221247\/110 + -11102. Calculate the common denominator of 97\/350 and a.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 53*h + 24. Let n be j(-18). Suppose -n*u + 5*u = -154. What are the prime factors of u?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 8) in base 14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -6.\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 4, m: 3}. What is prob of picking 1 m, 1 i, and 1 o?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 3 + (1 + 3 - 2)*(-65 - 337 + 45))*(-3*m + 1 - 1)*(2*m - 2*m - 2*m**4).\nAnswer: -4338*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -10*x + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*p**6 - 3*p**4 - 1507*p**3 - 216*p**2 + 18772*p?\nAnswer: 2880*p**3 - 72*p - 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7552307.\nAnswer: 7, 67, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2 - -1) - -1. Suppose -y + 3*y = m. Solve -6 = -2*l - y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -140, -142, -126, -86, -16, 90?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 8*d + 4. Calculate the remainder when 138 is divided by y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/11, 3\/4, -1, -130, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 26*k - 9. Let h(o) = 59*o - 1188. Let i be h(20). What is v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 458473.2 centimeters?\nAnswer: 4584732000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -29 + 21*m + 7 + 13 + 7. What is w(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15124\/(-10) - 12\/(-30). Let x be (-10 + c)*(-3)\/(-2). Is (3 - 0)*x\/(-9) 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 7261?\nAnswer: 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1461122 - q + 1461122.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22694.6363*0.5.\nAnswer: 11347.31815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083 is divided by 503.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*q**2*u**2 + 3*q**2 + 20*q*u**2 - 12*q*u - 2*u - 1 wrt q?\nAnswer: 252*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, a: 8}. What is prob of picking 1 a and 3 h?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 28 + 29 - 2*d - 32.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -12110211222?\nAnswer: 12110211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16118 (base 11) to base 13\nAnswer: -a494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/42 - 18\/108)*6\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*sqrt(1700))**2 + 1 + (sqrt(1700) - -2*sqrt(1700)) + -4) + -1 + 5 + ((5*sqrt(1700) - sqrt(1700))**2 - sqrt(1700)) + 4.\nAnswer: -33980 - 130*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -4*r - 42, m + 23 = 5*r - 16. Solve 10*k - r - 11 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.699 + -0.799. Sort -0.2, 3\/4, l, 4 in ascending order.\nAnswer: -0.2, l, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 112 = 0. Suppose d*z - 3578 = 23*z - 3*p, -p = -1. What are the prime factors of z?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 5260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/147*3 - (-1686)\/(-7). Which is greater: r or -243?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 787*g + 125*g - 159*g + 386*g to the form q + i*g and give i.\nAnswer: 1139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(108)*2*-2 + (sqrt(108) - (0 + sqrt(108))*-6) + (sqrt(108) - (2*sqrt(108)*-2 + sqrt(108)) - sqrt(108)) + -4)*2)**2.\nAnswer: -3456*sqrt(3) + 46848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(153) - 4*sqrt(153)*-3)\/(sqrt(108)\/(sqrt(12) + 6*sqrt(48) + sqrt(12) - sqrt(12) - sqrt(12))*-4).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s + 102. Let j be v(6). Let c(t) = -t**3 + 5*t**2 + 4*t + 3. Let u be c(j). What is the second biggest value in 1\/2, 3, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -5\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 13959*u + 13993*u - 155.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17474651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 34*o - 36*o, -5*o = 3*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 198*v + 636502 = 0. Calculate the greatest common factor of 46 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/15))\/(x\/x**0))**(-1\/11) assuming x is positive.\nAnswer: x**(-2\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 6*u - 3. Let w be j(-8). Let t = 233\/3 - w. What is the biggest value in t, 5\/2, -1\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/2)*g**(1\/8) assuming g is positive.\nAnswer: g**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 50 = 12*n - 3*o, 0 = n - 2*o + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 155 - 461 = 86 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -773530 less than 87?\nAnswer: 773617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 156, 341, 598?\n\"Answer: 36*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499565 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l + 30. Let o be s(0). Let n be ((-40)\/o)\/((-14)\/(-24)). Which is greater: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1961a + -29?\nAnswer: -19648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**2*v**(2\/7)*(v*v\/(v\/(v**0*v*v*v)))\/v*v*v**(-6\/11) assuming v is positive.\nAnswer: v**(596\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 6807.\nAnswer: 428841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**(-3)\/o)\/o))\/(o**(-3)*o))**(-2\/77)\/((o**(2\/3)*o)**35\/(o\/o**5*o**8)) assuming o is positive.\nAnswer: o**(-1799\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, m: 6, s: 3}. Give prob of sequence yms.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -4 - (3 + -4)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times 3249626?\nAnswer: -94239.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-21 + 40) - (12 - (-3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27404 = -22245*i + 23129*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 56 = 131. Suppose -20*s + 3 = -r. Solve 5 - s = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - 0.41. Let s = -0.02 - 0.18. Put s, 4, m in ascending order.\nAnswer: m, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 15. Suppose -3*w = -w + 14. Let y be (-4)\/(16\/w)*4. Solve -4*i = -y*i + u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2\/9, 0.4, 0.2, 0 in decreasing order.\nAnswer: 21, 0.4, 0.2, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + d + 4*o + 8, -3*o - 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.54 - 0.14. What is the nearest to 1 in 1\/7, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 26*n**2 + 19*n + 62. Calculate the least common multiple of 4 and b(-14).\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -10 - 14. Suppose f*r = 2*p - 8, -5*r = -3*r - 4*p + 16. Sort r, -5, 1 in descending order.\nAnswer: 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1177, -4757, -10729, -19093, -29849?\nAnswer: -42997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 8 + u**2 + 3*u + u. Let i(x) = 13*x + 3. Let v be i(-1). Let o be y(v). What is the greatest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.639865 and -2240.\nAnswer: -2245.639865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -959723003 - -2.90611?\nAnswer: -959723000.09389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 5. Let f be i(5). Suppose -2*p + 5*q + 9 = 0, f*q + 5 = 3*p + q. Solve -p + 12 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:29 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 613556 to the power of 1\/2, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(4 + 5) - -222*12\/(-900).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15402777 divided by 394943?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = w + 4, -2*a + 22 = 4*w - a. Let z be (9\/72)\/((-1)\/w). Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*w + 12 - 0, 5*w + 15 = c. Let i = w + 4. Suppose 0 = 5*q + 2*n - 33, -n + i - 7 = -2*q. What is the highest common divisor of 55 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*b + 27, -4*a + 5*a - 5*b = 28. Let f(v) = -4*v**3 + 2 - 5*v - 7*v**2 + a*v**3 + 2. Give f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22374, -22559, -22744, -22929, -23114, -23299?\nAnswer: -23484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*g + 9816 = 4*g - 4942 - 4214 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32527, 32031, 31251, 30193, 28863, 27267, 25411?\n\"Answer: u**3 - 148*u**2 - 59*u + 32733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32960739 divided by -3.\nAnswer: 10986913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-10)\/4) - -5. Suppose 3*l + l + 4 = 4*n, -a*n = -2*l + 1. Put n, -5, -0.1 in decreasing order.\nAnswer: -0.1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 128*k - 5867. Let w be n(36). Let x = 15 - 26. Let r = w - x. 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 the next term in -623714, -623699, -623660, -623585, -623462, -623279, -623024?\nAnswer: -622685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4392032 is divided by 2487.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*w - 25. Let v = 41 + -37. Let z = v - 7. Put 1\/8, w, 2\/19, z in decreasing order.\nAnswer: w, 1\/8, 2\/19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 36. Let o(k) = -2 + 7*k - 7 - 4 - c. What are the prime factors of o(8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00376 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 3*n - 5. Let z be l(5). Suppose -2*v + 1 + z = 0. Differentiate 2 - 4 + 0*o**v + 2*o**3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/360342 and -11\/280266.\nAnswer: 2522394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12012110 (base 3) to base 13\nAnswer: -1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102 and -0.1042.\nAnswer: 101.8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.15495139 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 92, 164, 236, 308, 380?\n\"Answer: 72*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 303\/72 + (-8)\/2. Let q(f) be the third derivative of 0*f - f**2 - 1\/2*f**3 - h*f**4 + 0. Let z(b) = 3*b + 2. What is -5*q(p) - 8*z(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8332 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:34 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 - 130519*c**2 + 103347810*c.\nAnswer: 18*c - 261038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4551 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*i - 102 = 0, 2*i - 481676 = -481682 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 8*n**2 + 12*n - 97. Suppose 251*m = 459*m - 1664. Give l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 335947822 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, j: 13}. Give prob of picking 3 o.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 1105090?\nAnswer: 1105080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**9\/7560 + i**5\/30 - i**4\/12 - i. Let s(u) be the third derivative of p(u). Find the first derivative of s(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (7 - (-11 + 24) - -3) - -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -10353854\nAnswer: 5176927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-3 + 3 - 1)*(1643*u - 3122*u + 2 - 564*u).\nAnswer: 2043*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27345834 by -18.\nAnswer: 1519213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -22. Let q(a) = -a**3 - 7*a**2 + a + 7. Let r be q(x). What is the common denominator of 0 + r - (-153)\/12 and -67\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.22928l in millilitres?\nAnswer: 37229.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 19*h = 68. Is -1*(-3812)\/h*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/90*105)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 = -718. Let s = -216 + t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20043 = 1899*l - 71894 + 28505 - 103887 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 137, 746, 2365, 5498, 10649, 18322, 29021, 43250?\n\"Answer: 84*c**3 + c**2 + 18*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + 15. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - l + 8, 5*l - 1 - 3 = -4*r. Let d = r - 0. Find the third derivative of -8*p**6 + 6*p**d + 0*p**2 - 2*p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 28*m - 41. Determine k(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**4 + j**3 + j**2. Let z(q) = -6*q**4 - 3*q**3 - 15*q**2 - 9*q - 3. Let d(c) = 12*o(c) + z(c). Suppose d(h) = 0. Calculate h.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = b + 17, -2 + 3 = 2*o - 3*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-21)*2947\/(-8420)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 2 - 2 - 1 + 1 + d + (0 - 2 + 4)*(d - 1 + 1) + 3*d + 3*d - 4*d + d + 1 - 1 + (5 + 2 - 4)*(-3*d - 14*d - 6*d).\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 570497419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 78 = 0. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 38, -7, -72, -157, -262, -387?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8037 and 7226.\nAnswer: 15263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2250421 - 221\nAnswer: -2250642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**13*p*p**(-22)*p)**(6\/23))**(2\/13))**(4\/21) assuming p is positive.\nAnswer: p**(-16\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 408. What is the nearest to j in 3\/22, -4, 0.4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-180))\/(2\/(-6)). Let d = 1 + h. Suppose -4\/3*q**3 - 2\/3 - 2\/3*q**4 + d*q + 2\/3*q**5 + 4\/3*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (12 - -25) + 1 + (-2 - -2) + 6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13116, -5, -2\/5, 0.\nAnswer: -5, -2\/5, 0, 1\/13116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 45*p**2 - 50*p - 176. Let m be j(-46). Does 16 divide 12\/16*m + 1*276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-515))\/(3\/(-15)). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f**2 + 59*f + 37. Let l(s) = 24*s**2 + 133*s + 75. Determine -9*c(g) + 4*l(g).\nAnswer: -12*g**2 + g - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 + v**4 - 2*v**4 + (v - v + v)*(-4*v**3 + 3*v**3 + 2*v**3).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1411, -1414, -1419, -1426, -1435, -1446, -1459?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.27269 and 4.\nAnswer: -5.09076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1379)\/4 - 70\/280 - 10. Sort -2, t, -5 in ascending order.\nAnswer: t, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 1160 = 0. Let h = 10429\/6 - 1731. Calculate the common denominator of h and d\/(-24) - (-2)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1062 and 97\/7552?\nAnswer: 67968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -3 + 33 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26889619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3 + 2. Let m = -3 - b. Is (-15)\/m*(0 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 13 + 69 + 8. Let q be b(0). Let c = q + -13. What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - z**3 + 20*z**2 - 26*z**2.\nAnswer: z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 7. Let d be g(5). Let c = d - 15. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2976356 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f + 50 - 18*f - 48*f**2 - 47 to b*f**2 + n + p*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/22125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvqq when four letters picked without replacement from {p: 5, q: 4, v: 5}.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a34 (base 11) to base 5.\nAnswer: -40303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 363*k**3 + 155496*k**2 + 6883548*k + 80661840 = 0.\nAnswer: -380, -266\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, g: 1, y: 4, l: 2}. Give prob of sequence ry.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 437925875 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 4991727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 2*m**2. Let u be c(-2). Find the first derivative of 4 + 4 + 3*t**2 + u*t**2 - t**2 wrt t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19747 + 2.21237. Let r = t + -107.1249. Let d = r + 106. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 32 = -2. Suppose 9*c = 4*c - v, -3*d + 4*c + 10 = 0. Suppose -5*j + d*h + 14 = 0, -2*h - 8 = -4*j + 2. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 32 + 104. Suppose 19*a = s*a. Let c(b) = -b**3 + b**2 - b - 5. Calculate c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 13. Let u = 7 + g. Which is greater: u or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-5 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000222220 (base 3) to base 6.\nAnswer: 2042553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 590417*k**2 - 590417*k**2 + 1521*k**4 + 2*k**4 - 2*k**4 - k**4 + (k - 6*k + 3*k)*(0*k**2 + 0*k**2 + 2*k**3) - 10*k**4 - 63*k**2 + 63*k**2.\nAnswer: 1506*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 5*b**2 + 6. Let p(f) = f**3 - f**2 - 1. Let x = -1454 + 1452. Determine x*r(g) - 10*p(g).\nAnswer: -14*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -227, -344, -463, -584, -707, -832?\n\"Answer: -g**2 - 112*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -32. Let s be (6\/9)\/(t\/18*-3). What are the prime factors of s\/10 + 144\/(-80) - -35?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 + x + 1. Suppose 4*m = -2*h + 3*m + 68, 4*m = -3*h + 102. Let l be h\/(-85) + 4\/10. Give k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/36)\/(7\/(-6)))\/((-1)\/(-21))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 3334618164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27383?\nAnswer: 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 10:19 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1176)\/1078*22\/(-4) + 98\/(-17)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 252606578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/73 (c) 0.05 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/19 + 1016*s**4\/19 + 16898*s**3\/19 + 100668*s**2\/19 + 247896*s\/19 + 212112\/19 = 0.\nAnswer: -491, -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 152?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:03 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 175896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11804.4 times 5?\nAnswer: -59022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(6*(2*(sqrt(1331) + 1) + -3) + 3).\nAnswer: -264*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 64.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 671274053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651921093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5559 - -5619. Calculate the remainder when 138 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = 3. Let m be 16\/4 - 8\/x. Find the second derivative of 10*r**5 - 3*r**5 - 6*r + r + m*r wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4482435466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 336336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5 + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 58. Suppose u*c - 14 = 3*m - 2*m, -4*c + 24 = -4*m. Which is greater: c or 8\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2720 and -193\/554880?\nAnswer: 554880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.66 - 326.34. Let z = t - -327.99999929. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 67 = 5*n, 349*n + 347*n - 698*n + 6 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 16640563?\nAnswer: 16640556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 8*c**2 + c + 12. Suppose 3*j = 11*j - 64. Let q(d) = d**2 + d. Calculate the least common multiple of f(j) and q(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 108*t**2 - 104*t - 41. Give a(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 953.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-495)\/(-27)) + 22\/5. Suppose 0 = 5*k, 0*k - s*k = 4*b - 8. Suppose 148 + 272 = b*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 371*b**2 + 308*b. Let l(o) = -285*o**2 - 231*o. What is 10*k(s) + 13*l(s)?\nAnswer: 5*s**2 + 77*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 3*d + 3*d)*(4 - 3 - 2)*(8*d - 2*d + 3*d)*(-2*d + 2*d + d) to the form k*d + w + m*d**3 + t*d**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, c: 2, b: 1, m: 3, l: 3}. What is prob of sequence ml?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 29.9\nAnswer: 14.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(8*j**5 + j**5 + 0*j**5 + j**5 - 5*j**5 + j**5 + 0*j**5 - 2*j**5 + 0*j**5 - 3*j**4 - 4*j**5 + 3*j**4 + (0 + 0 + 2*j**3)*(-j**2 - 3 + 3)).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/7)\/9)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10 and -2*5\/30 + 19.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, -27216, 20, 1, -1 in increasing order.\nAnswer: -27216, -4, -1, 1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 0.3. Let z = j - 0.3. Let b = 0.7 - 1.7. What is the second biggest value in -0.1, z, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3343, -3374, -3415, -3460, -3503?\n\"Answer: d**3 - 11*d**2 - 5*d - 3328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, 2, 1.\nAnswer: -36, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(3979 + 4075 - 6483)*(-2*c + c + 0*c) to the form w + i*c and give i.\nAnswer: 3142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - b**5 + 0*b**5 + (-b**2 + 0 + 0)*(5*b**3 - 5*b**3 - 2*b**3) - 69*b**5 - 29*b**5 - 43*b**5 - 107*b**5.\nAnswer: -244*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 8 - -11) + -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/180 - 35*l**4\/24 + 37*l**3 - 89*l**2 + 9*l. Factor y(c).\nAnswer: -(c - 6)*(c + 111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -8. Let q = -19\/2 + 137\/14. Let j = 89\/108 + -2\/27. Which is the closest to -1\/3? (a) j (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*z = 20, 5*g - 8*z + 15 = -5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, -5, 8, 5, 95.96, 1\/3 in descending order.\nAnswer: 95.96, 8, 5, 4, 1\/3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t**3 - 31*t**3 - 35*t**3 - 45*t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 8*o - 6. What is k(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -0.14. What is the fourth smallest value in 2\/13, l, -3, -0.04?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53+9111501.7176\nAnswer: 9111448.7176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220321211 (base 4) to base 15.\nAnswer: -34985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*u**2 - 11*u**2 - 151*u**2 + 366*u**2 + 257*u**2 to the form f*u + x*u**2 + g and give x.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1737.2 + -1737.13. Which is bigger: r or -335?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(2)) - (sqrt(98) + -1)**2.\nAnswer: -99 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311468 - -3069517136\/9855. Let h = j + 73373\/19710. What is the common denominator of (18\/(-20))\/(82 - 88107\/1075) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (-3 + 1 + sqrt(1088))**2) + 4)*-2 - ((sqrt(1088)*-2 + sqrt(1088))*3 + -2 + -5).\nAnswer: -56*sqrt(17) + 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2371*s - 4743*s - s**2 + 2367*s + 1. Let u = 59 - 65. What is v(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 5. Let a(w) = -4*w**2 + 6. Let q = 21 + 1. Suppose 0 = -5*s + 3 + q. Let x be -6 + -1 + 3 - 0. Give s*r(j) + x*a(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from mmmtstmmtxmm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0 + d**2 + 0*d**3 - 1\/30*d**5 + 0*d + 0*d**4. Let l(x) = 19*x. What is r(l(j))?\nAnswer: -722*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttitpptttppiti. Give prob of sequence ptp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8091822 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -s + 15, -5*m + 4*s = -44. Suppose -c = 3*b - m, -4*b = -5*c + c. What is the tens digit of 3*(b + 22\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqbbbqwwiwcbwqq. What is prob of picking 1 w, 1 i, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 5*z + 2. Let r be q(-5). Let b(v) = v + 1. Let h(d) = -2*d**3 - 5*d - 5. Calculate r*h(f) + 10*b(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 46*s + 23*s + 29*s + 25*s - 124*s. Let i(k) = -k + 4509. What is u(i(q))?\nAnswer: q - 4509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6768612?\nAnswer: 2, 3, 188017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:44 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + -5*sqrt(144)\/sqrt(4))\/(sqrt(12) + sqrt(108)*-6).\nAnswer: 4*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/50 - (35\/5)\/(-70)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (4 + -2)) + 2. Let n be h\/3 - 1\/3. Suppose n = -d - 0 + 5. Solve d*l = 8*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 2*q + 48, -2*v = 2*q + 28. Let w = 20 - -12. Let n = w + v. Solve -4*j - n = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*7*(-28)\/(-98). Let y(q) = 5*q**3 - 2*q**2 - 9. Let m(a) be the first derivative of a**4\/4 - a - 2129. Give u*m(i) - y(i).\nAnswer: i**3 + 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {i: 4, x: 14}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1970739 times -19\nAnswer: 37444041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6) + 14\/(-21). What is the third biggest value in 0.3, 2\/15, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - 17*n + 18*n - n**2 + 4*n**2 - 16 to the form q + s*n**2 + x*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 6*x)*(-14 + 22 + 17).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eveeveubvveeu. Give prob of sequence vv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34147978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138.7 + -139. Which is the nearest to 0? (a) j (b) 2 (c) 24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)\/(2\/3). Let v = 5 + w. Let o be ((5 - 2)*(2 - 3))\/((-6)\/4). Solve f - 14 + 4 = 4*q, -o*f + v*q = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277486971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -509549.369919 + 509548. Let r = -1.37 - f. What is r rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -3 + -5 + 22 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 26033566?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let k(s) = 35405*s**2 + 1. Give k(l(a)).\nAnswer: 35405*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g*g**(1\/3))\/((((g**(1\/6)\/g*g)\/g*g)\/g)\/((g\/(g\/g**5))\/g)))**(-8) assuming g is positive.\nAnswer: g**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*(x\/(x*x**1)*x)\/x)**17*(x*x*x**(-2\/23)\/x*x**(4\/3))**20 assuming x is positive.\nAnswer: x**(-2765\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34160 - -3837\nAnswer: -30323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300.3 - 300. Which is the biggest value? (a) 1 (b) 0.32 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/8*(-2)\/(-5). Let p = 5 - 2. Factor -1\/5*k**2 - m*k + 0 + 1\/5*k**4 + 1\/5*k**p.\nAnswer: k*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*k**3*t**5 + 2*k**3*t**2 - 1804*k**3 + 9*k*t**6 wrt t?\nAnswer: -3780*k**3*t**2 + 1080*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/25 + -2\/25. Suppose k + 4*j + 21 = 5, -2*j - 14 = 2*k. Let g be k\/8*(3 + -3). What is the nearest to w in g, -0.5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17086 is divided by 891?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*t + 2*t = -36, 0 = 3*s + 3*t - 30. Let j = -1 - -23. Calculate the remainder when j is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32286 is divided by 5373?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 12. Let p = -31 + 37. Let h be g(p). List the prime factors of h\/6 - (-2 + -41).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, -49, -4, -603 in decreasing order.\nAnswer: 4, 2, -4, -5, -49, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616119678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3832 is divided by 1429.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95\/8 - -12. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:10 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2 - 7*w - 2. Let x be p(-2). Calculate the highest common divisor of x and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (13 - (10 - 3)) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -7. Let w(x) = x**3 + x**2 - x. Let s(p) = -5*p**3 - 9*p**2 - 3*p - 2. Let n(u) = k*s(u) - 3*w(u). Let n(q) = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/2 + 5*y**2 + 75*y\/2 = 0. Calculate y.\nAnswer: -5, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -15. Let f(i) = -i**3 - 6*i**2 + i + 1. Let y be f(x). Let o(z) = -z**2 - 6*z - 3. Let u be o(y). Solve -v = v - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41547 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9 = -3*d. Suppose u - 11 = -d*a, -u + 9 = -a + 2*a. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-36))\/(-5) + (-2)\/(-4). Let a = 1 - 2. What is the third biggest value in -3\/2, v, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -246754?\nAnswer: 246738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72.23 and 651.932?\nAnswer: 724.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/14 and 17\/503160.\nAnswer: 503160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 5\/14*d**7 + 0*d**3 + 0 + 0*d**2 - 22*d + 0*d**5 + 3\/4*d**4 + 0*d**6. What is the third derivative of r(h) wrt h?\nAnswer: 900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + -78 - (-9772)\/(-889).\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*m**3 - m**2 + 0*m**2 - 462*m**3 to the form i*m + z*m**3 + p*m**2 + n and give z.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6601*c + 11386*c - 450712 = 483679 + 288725 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.07021 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10211*x + 7 + 10223*x + 2)*(-2*x**3 + 2*x**3 - x**4).\nAnswer: -12*x**5 - 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.459 + 8.396. Let w = y - -0.063. Which is the third smallest value? (a) w (b) -3\/17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 8\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1187*s + 43 = 4*m - 1184*s, 4*m - 4*s - 64 = 0. Which is the closest to m? (a) 19 (b) -2\/7 (c) 2\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*y - 144 = -181*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16905188999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 9*s**2 + 7*s + 1. Let k be r(-8). Suppose 5*v + k*z - 253 = 8*z, 10 = -5*z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(32\/210)\/(-4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g - 4*g + 4*g - 14*g + 11*g. Let s(f) = -1681*f. Give s(k(p)).\nAnswer: 5043*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.2, 0.1, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12 and 65\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64112667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 48 = 2*c, 0*c - 4*c = 0. Let p be (0 + 1)\/((-40)\/j + -2). Find the second derivative of -77 + 12*d**4 + 77 + p*d wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -12. Let w = i - -7.7. Let c = 1 + -0.9. Do w and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(20\/6)\/(-5). Let o(y) = 6*y**2 + 1 - 3 + 2*y - 4*y**m + 0. Determine o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 25*v - 16. Let o be y(9). Determine k so that 10*k**3 + 10*k**2 + 5*k**5 - 32*k + 17*k + 5 + 0*k**o - 15*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 6. Let k(n) = 77*n**2 + 55. Let t(u) = -3*u**2 - 2. Let h(q) = -2*k(q) - 55*t(q). Give v(h(a)).\nAnswer: -121*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8433, -0.12, 0, 1\/8 in decreasing order.\nAnswer: 1\/8, 0, -0.12, -0.8433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221139 is divided by 3059?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31323 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 + (-11 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/352 and 43\/1436919.\nAnswer: 45981408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((0 + 57\/152)\/(17\/(-1)))\/(3\/(-4))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162.46584 + -0.052.\nAnswer: 162.41384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9)*6\/(-22). Let d = -1 + 1.2. Let w = d - 0.3. Which is the nearest to w? (a) 3 (b) v (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/163?\nAnswer: 3\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -5, -46\/5, 2\/7, 28 in decreasing order.\nAnswer: 28, 9, 2\/7, -3, -5, -46\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694576?\nAnswer: 2, 13, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + -3.97. Suppose 0 = 4*j + 10 - 2. Let f be j\/(-6) + (-44)\/60. Is t at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -13. Let y = 3 - v. 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: Let p(w) = -w**2 - 3*w + 72. Let b be p(7). Suppose -x = -2, -u = b*x - 295 - 255. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {v: 1, z: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 9:57 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901 + 226 = 7*c. Let n = -158 + c. Solve -f + 1 = -n*k - 4, -4*k = 2*f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311449, 1245851, 2803193, 4983475, 7786697, 11212859, 15261961?\nAnswer: 19934003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*o = -742, 48*s - 44*s = -4*o + 744. Calculate the common denominator of (s\/6)\/(23\/(621\/198)) and 163\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 3. Let v be i(0). Let n(f) = -f + 3. Let g be n(0). Suppose -g*c + 7 - 4 = 0. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 11*d - 4. Suppose -18 = 2*t + 3*c, 4*t + 1 = 4*c + 5. Let w be s(t). Solve 3*i - w - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/103452 and 17\/11184.\nAnswer: 413808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6))**5*(h\/h**(-2\/21))\/h**23 assuming h is positive.\nAnswer: h**(-955\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3074*z + 34. Let m(x) = -1231*x + 14. Calculate -5*j(w) + 12*m(w).\nAnswer: 598*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + -3) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2*t - 3*t)*(0*t + 2*t - 3*t) - 18*t**2 - 5*t**2 + 10*t**2 + 7*t**2 + 10*t - 10*t in the form l*t + u*t**2 + i and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:39 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-189)\/135*2\/7. Sort l, -2, -3, 0.2.\nAnswer: -3, -2, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 415 + -383. What is the nearest to 2 in -2, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7013, 24801, 42589, 60377?\nAnswer: 78165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d147b - -40a?\nAnswer: d1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 426 = 233 - 397 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 3. Let w(v) = 17538*v**2 - 1998. What is -666*k(n) - w(n)?\nAnswer: -21534*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 + (1 - 0\/1). Suppose -o = 4*w + 8, 2*o - w - 1 = b. Calculate the least common multiple of o and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 10*r + 19. Let t be s(6). Let y be (-9)\/2*(t + -3)\/(-4). Are -9 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - g - 7. Give a(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4288710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/177606 and -125\/13662?\nAnswer: 177606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452541 + -36?\nAnswer: 452502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 296028?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*d**3 + 685*d wrt d?\nAnswer: 1752*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1554706 or 0?\nAnswer: -1\/1554706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 6?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165176, 330366, 495556, 660746?\nAnswer: 825936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 7*m**2 - 7*m + 5. Let q be z(-7). Let h be (4\/(-6))\/((-4)\/q). Suppose -12 = -v + h. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -692, -693, -680, -647, -588, -497, -368?\n\"Answer: s**3 + s**2 - 11*s - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/2 - 1400255*z**3\/2 + 29405061*z**2\/2 - 205834741*z\/2 + 240140131 = 0.\nAnswer: 7, 1400234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**9*k)\/(k**6*k))**16\/((k**7\/k**(-3\/7))\/(k**(1\/7)\/(k\/k**(-3\/5)*k))) assuming k is positive.\nAnswer: k**(1894\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, c: 3, m: 2, d: 2, v: 4}. What is prob of sequence dd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*i**2 + 3*c*i - 5*c + 5*i**3 - 10*i**2 + 2*i wrt i.\nAnswer: 4*c + 30*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:21 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(475) + 4 + sqrt(475)*-1 + -5)*6 + 0)**2*-3 + 0.\nAnswer: -461808 - 3240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2648 - 41*b**2 + 2648. Let o(j) = 2*j. What is o(q(s))?\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3574 divided by -487?\nAnswer: 3574\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2852\nAnswer: -2851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -33.109 in descending order.\nAnswer: 3, -4, -33.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 61?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41575 less than 41529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*w**4 - w**3 - 586*w**2 + 65522?\nAnswer: 96*w**3 - 3*w**2 - 1172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -167599 greater than or equal to -166782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2 - 1\/(-2). Suppose 2*r - 2*n - 50 = 0, -2*r + w*n + 66 = 4. Suppose -j - 3 = 2*h, -6*h = -j - 2*h + r. Put -5, j, 4 in decreasing order.\nAnswer: j, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 + -338.0163. What is m rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - -3b0?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 50*g + 170. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-326 - 502 + 15)*(-2*c**3 + 6*c**3 - 2*c**3) to h*c + i*c**2 + n + f*c**3 and give f.\nAnswer: -1626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*p*p**(-2\/5)*p)\/(p*p**(-1\/4)\/p*p*p**(3\/5)))\/(((p**(-3\/4)\/p)\/p**(2\/15))\/(p*p\/(p*p\/(p\/(p\/(p*p**(-1))))))**23) assuming p is positive.\nAnswer: p**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 43*i - 109. Let s be v(7). Suppose -s = 3*x + 3*q, 110 = -3*x + 4*q - 54. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 262867789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 1681*i**4\/4 - 2*i**3\/3 + 3369*i**2\/2 - 3242. Find the second derivative of j(n) wrt n.\nAnswer: 10086*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*x = 1 + 3, -3*m + x = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 33*k**2 - 1 + 1.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 538\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -3, -28 in increasing order.\nAnswer: -28, -3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(14\/4 - 1). Let h be (-21)\/y - 6\/(-10). Suppose n - 7 = -h*z, 5*z = 2*n - 23 - 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 + 2*c**2 + c - 3. What is a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, p: 2, w: 2, l: 4, k: 2}. Give prob of sequence pk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144, -305, -482, -675?\n\"Answer: -8*k**2 - 137*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.037 (b) -544 (c) -92.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-3 - sqrt(242) - sqrt(242))*-6 - sqrt(242))**2 + -1.\nAnswer: 203521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 9) to base 16\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.35 - -0.15. Let a = -8 + z. Let c = a - -3.4. What is c rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11762*t + 13124*t + 138924 = 0 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 39 = -3*y, 10 = y + 2*z + 27. Let c = y - -13. What is the third derivative of 0*q**4 + q**c - 6*q**4 + 4*q**2 - 7*q**2 wrt q?\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1852*g + 56 = -2*z - 1847*g, 3*z + g - 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/33 - ((-459)\/(-99) - 5). Which is greater: t or -36?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + x**3 + 2*x**2 - x**3 + (4*x + 6*x - x)*(-5*x**2 + 56*x**2 + 16*x**2) to the form l*x**3 + p*x + h*x**2 + y and give l.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276 + (6 - 4\/(16\/4))?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.78 - 3.78. Let f = -1.9 - -2. Which is the smallest value? (a) f (b) 1\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5308043*a**4 + a**2 - 4270739 wrt a.\nAnswer: 127393032*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ninety-four thirds of a hour?\nAnswer: 1880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, 76, 0.4, -301 in ascending order.\nAnswer: -301, -4, -1, 0.4, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1*34 - -1. Suppose -x = -4*u + 2*u. Let y(s) = -2*s. Let h(j) = -19*j. Calculate u*y(a) - 2*h(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*d - 4691 - 231, 1 = -d. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*sqrt(9) - sqrt(9)) + sqrt(9) - sqrt(9))*-6)\/((sqrt(48)\/sqrt(8))\/sqrt(2)*6).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 582.878 or -0.1?\nAnswer: 582.878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {w: 1, f: 1, d: 2, v: 2, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-48) - (-1)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/10? (a) 0 (b) -5 (c) 15 (d) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.27828 weeks to hours.\nAnswer: 16342.75104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.00393 - -7. What is b rounded to 4 decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1288 (base 10) to base 5.\nAnswer: -20123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(11 - a - 11) + 4*a - 5*a + 5*a)*(-3*a - 3*a + 3*a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 2*k. Let d(l) = -48*l**2 + 33*l. Let b be ((-2)\/(-5))\/((-11)\/55). Let o(z) = b*d(z) + 33*m(z). Let n(g) = -3*g**2. What is n(o(j))?\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 345.4 and 64?\nAnswer: 22105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 365428400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:16 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10876, -11508, -12138, -12766?\nAnswer: -13392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*l + 4*s, 2*l - 3*s = -3*l + 78. Let j = 125 + -132. Let z = l + j. What is the least common multiple of z and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2)\/(-3 + 10 + -5). Let c(a) = 24*a**2. What is c(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.4. Let u(g) = g**3 + 11*g**2 + 13*g - 19. Let f be u(-11). Let r be 0 + f\/33 + 5. What is the third biggest value in -3, o, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 - 379*j**3 - 2136*j**2.\nAnswer: 72*j - 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 3 + 45425*p.\nAnswer: 45425*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 4*a**2 - 4*a**2 + (4 - 1 + 5*a - 4*a)*(-3 - a + 3).\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -33*z**3 - 45*z**2 + 18*z + 39. Let j(k) = -9*k**3 - 13*k**2 + 5*k + 11. Determine 5*b(o) - 18*j(o).\nAnswer: -3*o**3 + 9*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 2. Let w be (2 - 1)*-5*(-1876)\/(-1340). What is m(w)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (12 - 510275\/35). Let h = w - -2492. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2144 divided by -1373\nAnswer: -2144\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*y + 209*y - 613*y + 33*y - 499*y.\nAnswer: -1454*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from otoootoooo.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.12 - -101.12. Let a = -99.51 + f. Round a to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35391 + (13 + -5)*4\/(-16)?\nAnswer: 43, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33761, 33372, 32975, 32564, 32133?\n\"Answer: -n**3 + 2*n**2 - 388*n + 34148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1 + (-4 - -9). Suppose 9 = 2*k + k. Let v = 9.7 + -9.6. Which is the closest to v? (a) r (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 166.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 10 = -2*f. Suppose -3*g + f*l - 150 = -0*g, 0 = -g + 3*l - 50. Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w - 8*w - 6*w as g + m*w and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 170*6\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 75*l - 29. Let y(o) = 2*o - 1. Let n(m) = p(m) + 3*y(m). What is the first derivative of n(z) wrt z?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -45?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(11\/5)\/n)\/(n**(3\/25)*n)*(n*n**0)**23 assuming n is positive.\nAnswer: n**(602\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056 by -11.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 + 9.8. Let d = 1.59 - 1.29. Let s = -1 - -6. What is the third smallest value in q, d, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 10, d: 6, k: 2}. What is prob of picking 2 d and 2 g?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4*b**3 + b**3)*(3*b**2 - 2*b - 3*b + 4*b + 2).\nAnswer: -6*b**5 + 2*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 66. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -323 and 268438280.\nAnswer: 268437957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-28)\/(-546)). Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93957 and 3.88.\nAnswer: 364553.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -13\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 10) to base 15.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -35*x + 37. Let p be q(1). Suppose 5*c = r - 456, 0 = 4*r + p*c - 1672 - 174. Calculate the remainder when r is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4391*j**2 + j + 7*j - 8*j.\nAnswer: 4391*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 13. Let x be 32\/12*7\/((-14)\/(-3)). What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195639.49993 + 195637. Let u = s - -2.5. What is u rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**2 - 5. Let j(i) = -10*i**2 + 6. Let c(h) = -5*j(h) - 6*y(h). Determine c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597 divided by 4.\nAnswer: -597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24642379?\nAnswer: 607, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + 7*j**2 + 3*j + 4. Let w(p) = -7*p**3 - 13*p**2 - 5*p - 7. Let o = 29 - 24. Let g(c) = o*h(c) + 3*w(c). Determine g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18471941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/(-60)*(-2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7753815 and 219.\nAnswer: -7753596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 8, 2*s = -5*r + 7*r - 206. Let w = s + 360. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. What is the units digit of (17\/(-3) + 2)\/(v\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.8 - 7.1. What is the biggest value in -2\/9, k, -0.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.5. Let g(m) = m - 1. Let i be g(6). What is the biggest value in i, x, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*o - 3*y, -82*o + 4*y = -78*o - 76. Suppose -4*x - 5*m + 21 + 13 = 0, -3*x + m = -16. Calculate the lowest common multiple of o and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1186947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2 = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 4*c**5 - c**5 + 27*c**5 - 22*c**5 + 30*c**5 + 4*c**5 - 4*c**5 - 2*c**5 + (5*c**3 - c**3 - 3*c**3)*(-c**2 - c**2 + 0*c**2) - 1 + 1 + 2*c**5.\nAnswer: 35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 182356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*54\/72)\/(9\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1)*(2 - 1). Suppose x*a - 6 = -1. Let l = a - -2. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/3, -2\/9, 110\/159?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 2\/59, 0.2, 9, 29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -71, 3\/5.\nAnswer: -71, 0.1, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.404214854 to three dps.\nAnswer: 0.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(20\/(-72)) + 1. Let z = 35\/8 + -191\/40. What is the nearest to -0.1 in p, z, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0478 - 8.6978. Round k to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-63) - (100\/36 - 3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*r - 68 - 94 + 128 + 3*r**2.\nAnswer: (r - 17)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*q - 16*q. Solve -13 = -q*i + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.91, -36, -928 in decreasing order.\nAnswer: -0.91, -36, -928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6144 * 29.78\nAnswer: -182968.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 2940*p**2 - 576240*p + 37647680.\nAnswer: -5*(p - 196)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1011?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.46 + 0.06. Let q = 1180.7 - 1181. Let z = 236\/3 + -78. What is the nearest to -0.1 in p, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 995217245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751836 is divided by 583531.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064969781 rounded to six dps?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199775014?\nAnswer: 2, 99887507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/2)\/p)\/(p**(-5)*p)*p**(-2\/13)*p*p\/p**(2\/27)*p*p)\/((p\/(p\/(p*p**2)))**40*(p*p\/(p*p**1*p))**(-24\/7)) assuming p is positive.\nAnswer: p**(-560965\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -28*r**2. Let f(b) be the first derivative of -b**2\/2 - 11. Give q(f(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 14*y = 0. Suppose y = 3*c - 5*l - 4, 3*c + 4*l - 16 = -c. Solve 9*i + 5*a = 4*i - 20, -c*a = i + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 39125003 = 34074997. Round p to the nearest 100000.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.6559 millilitres to litres.\nAnswer: 0.4936559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/16 in -29094, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8932 and 35556059?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g = 194 - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 67, 77, 91, 109?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 918930.96 to the nearest 100.\nAnswer: 918900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) + (4*sqrt(448) - sqrt(448)) + -1)) + sqrt(448) + 0 + 0.\nAnswer: -40*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 112, 68, -100, -434?\n\"Answer: -7*f**3 + f**2 + 84*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - c + 30 - 31 = 0, 9 = 2*i + 5*c. Solve 0 = x - i*m - 3*m + 1, -3*x + 2*m = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*h - 45 = -7*h, 3*u - 32 = -4*h. Let q(d) be the second derivative of -1\/2*d**2 + 0*d**3 - 1\/2*d**u + d + 0. Give q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 0.06, 0.29, 9, 13 in descending order.\nAnswer: 13, 9, 0.29, 0.06, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 4*k**2 + 8*k**2)*(1 + 2 - 1)*(-2 + 1 - 1) to v + w*k + m*k**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -465, -699?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*j**2 - 155*j**2 - 152*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 3 = -7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94110, 376318, 846624, 1505028, 2351530?\nAnswer: 3386130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -813.91 + 814. Which is smaller: -2.4 or q?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 5*u**2 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)**(-25)*(d\/(d*d**8))**(-9\/2) assuming d is positive.\nAnswer: d**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 6 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/91*(-1)\/(-3)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294611*s**2 + s - 3*s + 4628*s**2 - 179190*s**2.\nAnswer: -469173*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 - 26*x + 82. Let q be k(4). Sort q, -4, -40 in increasing order.\nAnswer: -40, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 8. Determine j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-4)\/16)*(-6)\/12. Find the third derivative of 92*u**4 - 3*u**2 + 2*u**t - 16*u - 48*u**4 wrt u.\nAnswer: 1056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 - 3*m**2 - 2*m - 3. Let h be -2*(0 - 3\/2). Suppose q = 28 - 25. Let s(d) = 0*d + d + 4*d**2 - 6*d**q + 4 + d. Calculate h*s(f) + 4*c(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 - ((0 - -1) + (-8 - -2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.0343785 + 0.0613435. Let i = 4.0438 - n. Let q = 0.052 + i. Round q to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 236674\/(-40) + (-4)\/16. Let q = 5907 + v. Let j = -3026\/3 - -989. What is the common denominator of j and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 8*l**3 + 22*l**2 + 74*l**2 - 2*l**2 - 9*l**3 as q*l**2 + s + o*l**3 + y*l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167899591 or 167899590?\nAnswer: 167899590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**3 + 1132*m**2 - 476125*m wrt m?\nAnswer: 72*m + 2264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/3 + 4*x**2 + 35*x\/3 = 0.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7259 + -7258.99996938. What is n rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 b when three letters picked without replacement from {j: 4, a: 1, b: 4, p: 1, v: 4, r: 3}.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 4*l - 11. Let d(y) = -5*y**2 + 11*y + 32. What is 3*d(k) + 8*t(k)?\nAnswer: k**2 + k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -14\/951, -0.011, -39?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssststsssssssss. What is prob of picking 2 s?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4. Let k be (4\/r)\/(0 + 1). What is the closest to 0 in 5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(sqrt(245) + -1 + sqrt(245) + -2 + 0 + sqrt(245) + -5)*-2 + -4.\nAnswer: -42*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-144*z - 29*z - 30*z)*(-4 + 1 + 1)*(2 + 0 - 1) to the form f*z + s and give f.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 6. Let r be t(-11). Let x be (-20)\/4*6\/r. Calculate the lowest common multiple of ((-12)\/15)\/(x\/(-45)) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-12\/13))\/(r\/r**(19\/2))*r**(3\/7)\/r**(4\/3) assuming r is positive.\nAnswer: r**(5197\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from sddszkddzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + (0 - 1)*-1. Suppose 0 = -5*h - 5*k - 0*k + 690, 393 = y*h - 4*k. Calculate the highest common divisor of h and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7255, -7278, -7317, -7372, -7443?\n\"Answer: -8*b**2 + b - 7248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**6\/720 - j**5\/20 - 3*j**4\/4 + j**3\/6 + 13*j**2\/2 - 9*j - 2. Let r(w) be the second derivative of p(w). Factor r(u).\nAnswer: -(u + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 33*h**2 - 40*h + 251. Let w be v(32). Sort w, 2, -4, 11 in decreasing order.\nAnswer: 11, 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.196385 + 57.2. Round y to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:30 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-5 - 5 - (-1 - 1)). Suppose -s - 3*c + 46 = 0, -y*c - 146 + 396 = 5*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(8 + 65\/(-26)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/39 + (-4630)\/13. Let x = -171 - g. Let r = -98 + x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179660714*o**2 + 73*o**3 - 179660714*o**2.\nAnswer: 73*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 + 204 = 57*r. Which is smaller: 45\/7 or r?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-1 - -4) - -12. Suppose -54 = -14*y + f*y. Let i(m) = -m + 4. Let s be i(0). Solve 4*r + s*u - 20 = 0, 3*r + 2*u = -r + y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 240 - -10165?\nAnswer: 103a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/28322 and -15\/34969?\nAnswer: 3426962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 8*k**2 + 622*k + 25. What is m(17)?\nAnswer: 3085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 224, 0.025, 0.2, -0.16?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-2) + 18\/12. Let u be -19 + (-7)\/((-7)\/a). Which is greater: u or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000949031 rounded to seven dps?\nAnswer: -0.0000949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 357*t - 2.\nAnswer: -357*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - -68. Calculate the common denominator of (-48 - -45) + 5*j\/232 and 31\/7.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 2*w**2 + 0*w**2)*((-2 + 7 - 3)*(-9*w**2 + 2*w**2 - 8*w**2) - w**2 - w**2 + 4*w**2).\nAnswer: 56*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 5*a. Let l = a - 2. What is the second derivative of 0 + 0*n**2 + 0 + 8*n + l*n**2 wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*p - 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5379822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 4*x - 5. Let v be (-1 - -4)\/(3\/8). Suppose -v = -2*s - 5*o, 3*s + 0*o + 4*o = 12. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187.04 + -152.04. Let p = 5.3 - 5. Sort p, 3, a in decreasing order.\nAnswer: a, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z - 5*l - 180, 24*l = -2*z + 29*l + 25. Sort -1, z, -7, 40 in descending order.\nAnswer: 40, -1, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, m: 3, j: 2, v: 8}. What is prob of sequence mzmv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155925, -155927, -155929, -155931, -155933?\nAnswer: -155935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3876772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(-1)*(q**(3\/4))**(1\/30) assuming q is positive.\nAnswer: q**(43\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39336049447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-28)\/((-3528)\/(-567))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 479?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/6 + 3*k**2\/2 + 4*k. Let y(p) = p + 3. Let q = 2 - 5. What is q*y(c) + 4*x(c)?\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-9*z + 28*z**2 + 11*z + z**3 - 31*z**2 + 21).\nAnswer: -z**3 + 3*z**2 - 2*z - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39023093 and 285?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/25 - ((-36)\/(-45) + -10). Solve k*v - 300 = -41*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 684? (a) 2 (b) 8 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1413 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0. Let f = 0.2 + 0. Let n = 15\/8 - 151\/72. Which is the closest to f? (a) i (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 17. Let d be l(16). Suppose -q + d = -26. Let z be ((-189)\/(-28))\/(-9)*-36. Is q greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 807 - 449. Suppose y*g = 360*g - 20. Sort 1, -3, g.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 33 = 2*d. Suppose 30 + d = 5*p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -150*n**3 + 10*n**2 + n - 65. Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:39 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -42*y - 7. Let j be p(-2). Let w be (-28)\/(-6)*66\/j. Factor -2\/11*h**5 + 6\/11*h - 2\/11 - 4\/11*h**2 + 6\/11*h**w - 4\/11*h**3.\nAnswer: -2*(h - 1)**4*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let g(o) be the first derivative of -1 - 1\/2*o**2 + 0*o. Give g(u(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - (-3155)\/30. What are the prime factors of 63*-5*(-18)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 21*s**4\/4 - 123*s**3\/2 - 93*s**2\/4 + 123*s\/2 + 18 = 0?\nAnswer: -1, -2\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.7 + 45. Let b = -4.99 + -0.01. Let v = b + q. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668a3 (base 13) in base 11?\nAnswer: 117851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - ((13 - 21) + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by -81?\nAnswer: -130\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/u**0)*u)\/u))**(1\/38)*((u*(u**(-2\/5)\/u)\/u*u)\/u*u)**29*u\/(u\/u**(3\/4))*u**(-1\/3)*u**(-5)\/u*u\/((u**4\/u*u)\/u) assuming u is positive.\nAnswer: u**(-21839\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15663987?\nAnswer: 3, 17, 37, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1813512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c + 33. Let a(t) = t + 3. Let p(w) = -9*a(w) + g(w). Let d(s) = -8*s - 5. Give 7*d(x) + 6*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50437 or 50448?\nAnswer: 50448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -21 (c) -651 (d) 43\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - 5014?\nAnswer: -4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1409, 2803, 4197, 5591, 6985, 8379?\n\"Answer: 1394*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/25)*u*u\/u**22*u**(-40)\/u**(4\/3) assuming u is positive.\nAnswer: u**(-4588\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 532*h - 53120. Calculate t(-86).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 3)\/(2\/9). Let t be 372\/3 + (2 - 0). What is the highest common factor of t and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 16 = -107 - 569 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1848 by -3.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a66d11 + 5?\nAnswer: -a66d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, v: 8, q: 2, l: 1, z: 3}. What is prob of picking 1 v and 1 l?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:24 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5593 and 2482963.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 - -262.87. Let z = -0.93 - u. What is the closest to -2\/7 in 5, z, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -41*p**7\/420 - p**4 + p**3\/6 - 4*p - 5. Let t(a) be the third derivative of h(a). Let l(d) = -d. Give l(t(n)).\nAnswer: 246*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*r + 1\/4*r**2 + 0 + 3\/2*r**3.\nAnswer: r*(r + 1)*(6*r - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260*g - 58 + 138*g**4 - g**2 + 4 - 127*g - 133*g wrt g?\nAnswer: 3312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfyf when four letters picked without replacement from {y: 4, k: 1, c: 10, f: 4}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)*g**(2\/15))**(-1\/12)\/((g**6\/g**1)\/(g**1*g\/(g**(-3\/4)*g))) assuming g is positive.\nAnswer: g**(-607\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v**2 - 23*v - 57. Let q(u) = -4*u**2 + 2*u + 2. Let x(b) = 4*q(b) + y(b). Calculate x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 21*y - 3. Calculate z(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*o**4\/2 + 704271*o**3\/2 + 1124701623*o**2\/2 + 598685559069*o\/2 - 12219009519.\nAnswer: 3*(o + 1597)**3*(49*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 25581*z\/7.\nAnswer: -3*z*(z + 8527)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 13347?\nAnswer: 13347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 10*m**2 + m + 3*m**2 + 2*m**3 - 10*m to the form q*m**3 + c + l*m**2 + z*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 224686623 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 2*h**2 - 5*h - 2. Let y be b(-3). Let v be 357\/119 - (-5)\/((-1395)\/(-28))*-30. Put 1, v, y in descending order.\nAnswer: y, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 867682 or 867688?\nAnswer: 867688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000105468782 rounded to 7 dps?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = t + o, -456 = -4*t - 101*o + 102*o. Calculate the remainder when t is divided by 72.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 + -1?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 916264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1847, 3692, 5537, 7382, 9227?\nAnswer: 11072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136472 and 20?\nAnswer: 682360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 e when three letters picked without replacement from naxaaaexaaeeeaneee.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*d**2 - 13*d + 2 - 312*d**2 + 560*d**2 + 3.\nAnswer: -30*d**2 - 13*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 - (-5 + (8 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 2, h: 3, t: 1, a: 4, y: 4}. Give prob of picking 1 j and 1 y.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*m**2*w**3 + 119*m**2*w - 4211*m*w**3 + 2216*w + 3 wrt w?\nAnswer: -102*m**2*w - 25266*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/7 - 144*r**3\/7 + 262*r**2 + 1980*r\/7 = 0. Calculate r.\nAnswer: -1, 0, 18, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - sqrt(42)\/sqrt(6)*-4 - sqrt(252)*3 - 5*((5*(sqrt(7)*-1)**2 - sqrt(7)) + sqrt(7) + sqrt(7) + (1 + sqrt(7) - sqrt(7))*2 + sqrt(7)).\nAnswer: -185 - 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118446836.452 minus -1?\nAnswer: -118446835.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, r: 11, c: 1, m: 1, d: 2}. What is prob of sequence oo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(-2*sqrt(242) - sqrt(242))**2*-1.\nAnswer: -13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -347, -698, -1061, -1442, -1847, -2282, -2753, -3266?\n\"Answer: -n**3 - 344*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-145)\/(5365\/148)*(-2)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Suppose 3*w - 1 - 7 = -v, w + s*v - 11 = 0. Solve -m - 2*c = c - w, 4*c - 2 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3.1, -8, 1 in ascending order.\nAnswer: -8, 2\/11, 1, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742151668 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 35. Let a be y(-10). Let o be (408\/(-2))\/(a\/10 + 1). Suppose -12*x + o = -188. What is the remainder when 80 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -553013*f**2*s**3 + 11*f**2*s**2 + 5379*f*s**3 + f*s + 2*f + s**2 + 46 wrt f?\nAnswer: -1106026*s**3 + 22*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - j)*(471 - 471 - 15868*j + 3205*j).\nAnswer: 25326*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 23141837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 1 - 1 + (1158*d - 592*d - 663*d)*(d**2 - 5*d**2 + 5*d**2).\nAnswer: -95*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 96723.78 hours?\nAnswer: 348205608000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 18*d**2 - 19*d - 11. Let x be l(17). Calculate the common denominator of -131\/24 and 372\/x - (-12)\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 1\/9 (c) 3.548 (d) -7 (e) 0.5 (f) 0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 17*z**2 + z - 9. Let p be k(-7). Suppose 0 = 3*b - 18 - p. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19)\/((f**(4\/5)*f)\/f))\/((f*f**(2\/9)*f*f*f)\/(f*f\/f**(1\/6))) assuming f is positive.\nAnswer: f**(-5273\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15724084?\nAnswer: 2, 101, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhsxllhlhxhfmlhl. What is prob of picking 1 h and 1 l?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-66)\/32) - 1. Let z = -1618 - -1633. Let q be (5\/z)\/(6*(-2)\/(-36)). Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = -1, -2*z = 4*s - 12. Suppose -2*k + 44 = 4*q, s*k = k + q + 16. Let w = k + -6. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let u(c) be the second derivative of -c**7\/840 + c**4\/6 - c. Let v(l) be the third derivative of u(l). Calculate v(g(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 6 + 124*g**2 - 21 - 1749*g**2 as o*g + s*g**2 + f and give s.\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/224*(-80)\/(-50)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6951989279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and -10.9.\nAnswer: 2.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578900 divided by 1890?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 0 - 4 + 5 + (-2*v + v - v)*(1 + 3 - 6) - 1 + 1 + 3*v to a + z*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r. Suppose 0 = -5*g + 2*d - 20, 0 = 6*g - 3*g - 4*d + 12. Let s be 6\/12 + (-10)\/g. Solve -s*a + 4*h - 10 - 4 = 0, -3*a + 2*h - 4 = r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757229 to the power of 1\/2, to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -44, 13, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.5638425 to 0 dps.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 197*j**2. Let k(n) = 57*n - 328*n + 272*n. What is o(k(p))?\nAnswer: 197*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.043673 - 4805.243673. Round n to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1228 and 403091?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21 and -0.391?\nAnswer: 0.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 287717 to the nearest one thousand.\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 10*n. Let m be (196\/18*-3)\/((-6)\/9). Let o = m + -59. Let g be b(o). Solve g = 3*a - 5*h - 6, a + 4 = -3*h - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6251*j - 340925 = 77892 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52076*h**4 + 2*h**3 - 675152*h?\nAnswer: -624912*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -494124.99964 + 494106. Let c = b - -19. Round c to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-60))\/((-812)\/(-87)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2968.42 - 0.1.\nAnswer: -2968.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/1593 (b) -38 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 62*x - 34. Let z be f(-26). Suppose -1817 = -n + z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 153. Calculate the highest common divisor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37296*z**2 - z**3 - z**3 + 37424*z**2.\nAnswer: -2*z**3 + 128*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 523*j - 259691 + 259691. Let p(i) = -2*i**2. Determine p(g(f)).\nAnswer: -547058*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*(-4)\/40 + 3\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6931.208073 rounded to 1 dp?\nAnswer: -6931.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 1, w: 1, t: 4}. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 4*g**2 + 3*g**2 + 6*g**2 to l + m*g**2 + b*g and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*d + 56, -4*s + 2 = d + 38. Let m be -10*-1*(-4)\/s. Solve -5*i = o + 24, -m*i - 21 = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = -346*p - 493*p - 4010 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddpddddddddd. Give prob of picking 2 d.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 684 = -29*h - 7*h + 75*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15694, -15707, -15736, -15787, -15866?\nAnswer: -15979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -w - 4, 4*w + 19 = -4*b + w. Let c be -4 + (-261)\/4 + b\/(-4). Let u = -51 - c. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2399 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/2)*q*q\/q**(-3\/2)*q*q\/(q\/((q*q**(1\/7))\/q))*q*q**1*(q**(-1))**(-1\/36)\/((q*q**(-2\/11))\/(((q\/(q\/(q*q*q*q\/q**0)))\/q)\/q)) assuming q is positive.\nAnswer: q**(17609\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 166*v**2 + 117*v - 9722. Calculate o(83).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20315.\nAnswer: 5, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 + 1. Suppose -11*t = -6*t + 55. What is the units digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007087 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*s = 522*s + 112 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -64. Let f be 4\/10 - 216\/(-10). Let l = p - f. Sort l, -5, -3 in decreasing order.\nAnswer: l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:26 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157950 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/(-20)*(-1290)\/172*4\/144?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -666. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 - 8\/(1560\/553). Let f = l - -9\/130. What is the third smallest value in -0.4, 0.3, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1472688 and -67\/27615?\nAnswer: 1936584720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {w: 1, g: 2, t: 3, i: 2, b: 6, s: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 46*f**2 + 43*f + 243. Let s be b(47). What is the highest common divisor of 2585 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/16 + (-42)\/48. Let g(t) = -t**2 + 1. Let v be g(n). Solve -l + 5*j = v, 2*j - 3*j = l + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8456 + 50539 = 42*z + 1448*z - 179*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(10 + -2) - (-145)\/100?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -66. Suppose -20*g + 40 = -60. Solve -g*p + 21 = -s - 2, d*p - 17 = -s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 - i - 4. Suppose c + 2*o + 4 = 0, -19 = -2*c + 2*o + 3*o. Suppose 25 = -5*z + 2*m, z + c*z + 4*m = -15. Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**5\/270 + 11*l**4\/108 - 10*l**3\/27 - 28*l**2 + 39. Let x(u) be the second derivative of t(u). Factor x(v).\nAnswer: -2*(v - 10)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*f - 7*f + f - 4 + (-5*f + 2*f + f)*(-5 + 2 - 6).\nAnswer: 57*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 + 14 = -3*s, 0 = -5*v - 5*s + 145. Calculate the smallest common multiple of v and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + -5.72. Let b = 5 + 7. Let l = u + b. Put l, 3\/7, 2\/7 in decreasing order.\nAnswer: l, 3\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510691 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 c = 4*c + 3*l + 126, 0 = -3*c + 5*l - 166. Let h = -44 - c. Suppose g - b - 13 = -3*g, -9 = 3*g + h*b. Solve g*a + 0*a = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457 divided by 5?\nAnswer: 1457\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let i(c) = -u*c - 1 - c + 4*c. Give i(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*b + 11*b**2 + 150*b - 3*b**2.\nAnswer: 8*b**2 + 310*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/6 - i. Suppose 2*c - 10 = -y, 5*c - 12 = -4*y + 4*c. Let h(n) = 8*n - 4 + y + 2. Calculate j(h(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 10924399\nAnswer: -18\/10924399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/27*(30\/28 - 1). Let t = 29\/574 - n. Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h = 42*h + 5*l - 2505, -l = 3*h - 1509. Let k(q) = 62*q + 1. Let z be k(1). What is the greatest common factor of z and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/20)*h*h**16 assuming h is positive.\nAnswer: h**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(39)\/sqrt(3) - sqrt(13) - sqrt(13))))**2 + sqrt(1872)*-2*-3.\nAnswer: 18*sqrt(13) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(2057) + 1*(2 + sqrt(2057)).\nAnswer: -99*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 - 6283\/10. Let u be 4\/6 + (-709)\/(-3). What is the common denominator of u\/(-42) + 2 - 2 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)\/a*a**14)**(3\/8) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 + 14 = 0. Let r(n) = -4*n - 2 + 3 - 4 + 3*n. What is the remainder when 4 is divided by r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:04 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1060668.146.\nAnswer: 1060668.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 62546145.\nAnswer: -31273072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 + 16*a**2 + 4*a - 85. Let t(z) = 4*z**3 - 12*z**2 - 3*z + 85. Determine 3*j(b) + 4*t(b).\nAnswer: b**3 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113255 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-27 - 63) + 39).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31a3a6 - 609?\nAnswer: -31a9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -0.275.\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 3*l**2 - 136*l**2 - l as g*l**2 + v*l + u and give g.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*v - 12 = 0, 5*l - 8 = l - 4*v. Suppose 252 = l*f - 340. What is the remainder when f is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12219691 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:13 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7 + s**3 - 5*s**4 - s**4 in the form y*s**3 + w*s**4 + r*s + t + c*s**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 68, 164, 320, 548?\n\"Answer: 2*m**3 + 12*m**2 - 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5808081 (base 9) to base 12\nAnswer: -107263a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9) - 3168\/54. Let w be 20\/v + ((-150)\/9)\/(-5). Solve -4*h = f + 1 + 1, w*f - h = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/3 + 82*i**4\/3 + 1417*i**3\/3 - 3608*i**2 + 5808*i.\nAnswer: i*(i - 3)**2*(i + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570 (base 11) to base 5.\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28895, 116329, 262057, 466079, 728395?\nAnswer: 1049005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-236)\/(-10))\/((-1)\/(-5)). Suppose 0 = 5*u + 23 - o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296412*x**3*z**3 - 2*x**3*z**2 + 525*x*z**3 - 2264523*z**2 wrt z.\nAnswer: -1778472*x**3 + 3150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58364358, -58364359, -58364360, -58364361, -58364362?\n\"Answer: -r - 58364357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -42*z + 38*z - 5*f, f + 4 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -4\/25 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 29\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from wfygydfiwywyfgi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-25)\/((-28125)\/(-200))*(-12)\/8.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 9 = -112*g + 116*g, 129 = 5*a - 19*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1198152*o**3 - 28925928*o**2 - 4092770*o - 145200.\nAnswer: -2*(o + 24)*(774*o + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 - 7423446*s\/5 - 7423447\/5 = 0 for s.\nAnswer: -1, 7423447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 574409056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49097554 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114835 is divided by 883.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**3 - 61*r + 24. List the prime factors of y(12).\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*w**5\/13 - 144*w**4\/13 + 50*w**3\/13 + 54*w**2\/13 + 8*w\/13 = 0. What is w?\nAnswer: -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*b\/(b*b**(4\/25))*(b**(-8))**(-2\/51) assuming b is positive.\nAnswer: b**(196\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/20 - 5*k**4\/2 + 50*k**3 - 500*k**2 + k + 258. Find v such that h(v) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3342, -3332, -3312, -3276, -3218?\nAnswer: -3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*a + 11 = 0, 0 = 5*t + 3*a - 17 - 13. Solve 2*w + 10 = 3*q, -t*w + 17 = 2*w + 3*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22773 + -21699. Calculate the remainder when f is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-256)\/24. Let s = 27 - f. Solve -m = 2*g + g + s, 4*g + 4*m + 28 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 16 + -10 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-364 + 764 + 502)*((2*u - 2*u + 2*u)*(2 + 0 + 0) + u - 5*u + 2*u - 3 + 3 + u - 2*u - 2 - 2 - 4) as j*u + s and give j.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -1373, -2047, -2715, -3377, -4033, -4683?\nAnswer: -5327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 458535735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1688\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -841 = 10*v + 329. Let z = -105 - v. What is the highest common factor of z and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2190*x**3 - 3*x - 2433*x**3 - 2*x in the form d + r*x**2 + v*x**3 + o*x and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*n = -4*t + 104, -4*t - 4*n + 132 = 0. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92733313\/10 or -1?\nAnswer: 92733313\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = 2*c - 419 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-5*sqrt(35)\/sqrt(5)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24034845*w**4 - 4*w**2 + 2*w - 105594 wrt w?\nAnswer: -576836280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 * 2.6746\nAnswer: -18.45474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Calculate the least common multiple of 20 and -1*(f - 1) - -18.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(104)\/(sqrt(200)*-2) - -6*(sqrt(832) + (sqrt(832)*-1)**2 + 1).\nAnswer: 238*sqrt(13)\/5 + 4998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and (-630)\/(-105) + 1\/(-44)*213.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 m, and 1 f when four letters picked without replacement from fvffmmvffvmffvff?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1460432, -1460433, -1460434, -1460435, -1460436, -1460437?\n\"Answer: -w - 1460431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*n - 28 - 18, -3*n = m - 14. Suppose -2*g - 3*g = -2*b + m, -3*b - 13 = 5*g. Let y = g - -6. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*x + 2 = 6, -5*x = 0. Put h, -4, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 5*t = 1711, 818*p - 112 = 815*p + 5*t for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, 1 q, and 1 u when four letters picked without replacement from utmumfmuqmuquuddu.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 2, q: 2, s: 7, y: 2}. Give prob of picking 1 y and 1 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 20, -1, -21 in descending order.\nAnswer: 20, 12, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.198 plus -3995.98?\nAnswer: -3997.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**2*r*r\/(r\/(r\/r**4))*(r**0)**(6\/25))**(-34) assuming r is positive.\nAnswer: r**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 381.3 + -381. What is the nearest to -0.1 in -4, f, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 111682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2672 (b) -2\/63 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30562\/(-2065) + 1\/(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 1.1. Let n = 10962 - 10962.5. Sort k, -1, n, -2\/11 in ascending order.\nAnswer: -1, n, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqzz when four letters picked without replacement from qqzqzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 543*i + 316670 + 401564 + 8843. Which is greater: -1342 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675\/4675*(-1)\/3*13?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5610 is divided by 1857?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 16. Let m = w - -10.9. Let n = 0.100005 + m. What is n rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39760 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:46 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 300. What is c(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(1\/35)\/((q**(-2\/17)*q)\/q)**(-40) assuming q is positive.\nAnswer: q**(-2766\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/2 + 459619*a**4\/2 - 52812636099*a**3\/2 + 52812176481*a**2\/2 = 0. What is a?\nAnswer: 0, 1, 229809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 209990 greater than 209992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 6. Let h be a(-5). Suppose -28 = -96*s + 82*s. Suppose 0 = -3*u - h, -s*t + 5*u - u = -296. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418 and 6764?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 10.8. Let x = 14 - r. Put x, -2\/11, 0.3 in ascending order.\nAnswer: -2\/11, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19677519 - 41*m**3 + 19677519.\nAnswer: -41*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kwk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 + 14*x + 6. Let l be c(-3). Which is smaller: 15 or l?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 1. Let n(s) = -85*s + 68. What is n(t) - 68*o(t)?\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.91089 to 1 dp.\nAnswer: -270.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42651233.\nAnswer: 42651233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11654301 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21220002 (base 4) to base 3\nAnswer: -2000002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((sqrt(38) + 4*sqrt(38)*-4 + sqrt(38))\/sqrt(648) + 2).\nAnswer: -7*sqrt(19)\/9 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 - 3 + 2*h**2 - 2*h**4 + 8*h**4 - 3*h**4 to q*h**4 + v*h**2 + p*h**3 + r + z*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, 85, 131, 177, 223?\n\"Answer: 46*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 18*w = -5*o - 2776, -3*o + 11265 = 4*w. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19.05, 4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 5*f + f)*(-1 - 6 - 4)*(-2 + 2 + 2*f).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 7540000 = -35*g. What is g rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**3 - 530*n**2 + 1419*n + 9.\nAnswer: -18*n - 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1\/75*d**5 - 1\/150*d**6 + 0*d + 0 + 6*d**2 + 2\/15*d**3 + 1\/30*d**4. Factor b(k).\nAnswer: -4*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 11. Suppose -512 = -658*w + 650*w. Calculate the remainder when w is divided by x(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321130 rounded to the nearest one thousand?\nAnswer: -321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 4. Let u be d(5). Let s = -4 - u. Suppose 0 = -5*k + s*g + 1040, -g - 445 + 1503 = 5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 14 = 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, 3, 36, 85, 156, 255, 388, 561?\n\"Answer: l**3 - l**2 + 19*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:14 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (104\/(-12))\/((-5)\/15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5 + 1*sqrt(208))*5 + sqrt(637) + -1 + sqrt(52)\/(-1*sqrt(4)) + -5)**2.\nAnswer: 468*sqrt(13) + 8869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let g(r) = 8*r**2 - 4*r + 4*r. Determine c(g(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*n + 157*n - 1518 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 3. Let w = 10 + -7. Suppose -15 + w = -3*g. Let n be j(g). Is n < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7654320 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -3824\/7 = -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60 and (-3)\/1 + -1 - (-98)\/48?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -3.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-1)*3\/14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97.8 - 97.74. Let b = 2.701 - -0.099. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7027*z + 11 = 4*x + 7032*z, -x + 2*z = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-27) + (-32)\/18. Let i(f) be the third derivative of -7*f**6\/5 - f**5\/60 + f**4\/8 + f**3\/2 - 2*f**2. Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 573 - 584. Let c(u) = -2*u**2 + u**3 - 11*u + 13 + 12*u**2 - 9. Determine c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4 = -2*a, -7*a = -6*a + 2*u - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*x + 173024 = 1892059. List the prime factors of x.\nAnswer: 5, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -22*x + 35. Solve -3*m - x = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from njwndndidnwn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*n = -z + 6, 2*n + 8 = 4*z. Suppose 3*k - 3*m + 40 = z*m, 0 = -5*m + 25. List the prime factors of (-6)\/(-2) - 730\/k.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, -79, -424, -1095, -2200, -3847?\n\"Answer: -18*j**3 - j**2 + 2*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1 + 1 - 7*v + v**2 + 5. Let d be f(6). Let l be d*(-2)\/(3 - 1)*3. Which is the closest to -0.2? (a) -2\/19 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgkhuuukssghu. Give prob of picking 2 u and 1 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -130793 and 13?\nAnswer: 130806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 266 - 44 = -w, -n + 2*w = -114. Let b = -19 + 29. Suppose 9*m = 8*m + b. Calculate the highest common divisor of m and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -21) + -5 - -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/((v\/v**(2\/17)*v)\/v)*v*v*v)\/v**(-2\/11))**(-1)*(v\/v**4*(v**(-5\/4)\/v*v)\/v)\/(v**1\/v)**39 assuming v is positive.\nAnswer: v**(-7891\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -20. Suppose 8 = 3*v - 0*m - 2*m, -d*v - 3*m = -22. Let r = -15 - -23. Calculate the smallest common multiple of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/24*(-8)\/5. Which is the closest to 1\/2? (a) -0.05 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - b**2 + 86*b**3 + 4*b**2 - 65*b**3 + 49*b**3 + 42*b**3 as i*b + m*b**2 + n*b**3 + g and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 - (16 - 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200866 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 - 5*m**2 - 5 - 13*m + 0*m**2. Let h(g) = 2*g**2 + 6*g + 2. Let r(p) = p**3 - 7*p**2 + 5*p + 10. Let b be r(6). What is b*k(o) + 9*h(o)?\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 12. Let d(l) = -23*l - 2. Let f be d(g). Does 4 divide ((-7)\/2)\/(12\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:14 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 53401 (b) -0.08 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -2.3. Let s(o) = -44*o - 117. Let n be s(-3). Sort 0, n, -2\/7, g in decreasing order.\nAnswer: n, g, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.24 + 79.24. What is the nearest to 16 in o, -12\/7, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 + 10*x - 1. Let f be l(-7). Factor 2*b**4 - 2*b**2 - b**f + 2*b**2 - b**5.\nAnswer: -b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:19 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 15\/2*g**3 + 2*g + 8 + 0*g**2. Let w(v) = v. Give w(q(u)).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -123\/8, 1, -0.3, -3\/4, -2 in descending order.\nAnswer: 1, -0.3, -3\/4, -2, -123\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 10 = -20*d + 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*x - 19 = 0, 19 = -360*n + 356*n - 3*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231717, 463450, 695195, 926952?\nAnswer: 1158721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 15*r - 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 - 147*i - 15. Let q(y) = 18*y**2 + 370*y + 39. Let g(d) = -5*q(d) - 13*u(d). Let r(b) = b**2 + 62*b. Determine -4*g(a) + 3*r(a).\nAnswer: -a**2 - 58*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15399249 divided by -15399249.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4330 - -8448. What are the prime factors of r?\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 7*k = -6. Suppose 2*l - k = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 + 135 + (-10 - 2) + 11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*x + 29. Suppose 3*h = x*h - 6. Let z be ((-18)\/21 + 0)\/h. Which is the third biggest value? (a) 2 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 11686304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1323\/59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29724 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:29 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**5\/120 + 259*a**3\/3 + 68. Let d(f) be the third derivative of n(f). Let z(k) = 0 + 0 - 30*k**2. Determine z(d(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 5 = 0. Let k be 72\/28*56\/6. Let a(q) = -9*q**2 + 35*q - 14. Let w(t) = 45*t**2 - 174*t + 69. Let m(x) = k*a(x) + p*w(x). Factor m(y).\nAnswer: 3*(y - 3)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6480)*-5.\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35927*k**3 - 35927*k**3 + 102197*k**3 - 30337*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = q - 18, -2 = -2*q - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 263\/113 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a decade in months?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 1 + 2 - (41 - 38)) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 122, -2\/11, 4\/99?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(0*f**2 + 0*f**2 - 7*f**3)*(-2 + 2 - 1) in the form g*f + i*f**3 + r + z*f**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 10 - (-6 + 18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1 (c) -0.02 (d) 28.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - (4551\/(-12) - 5). Calculate the greatest common factor of 96 and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llyyll?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24865 divided by 61.\nAnswer: 24865\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 111\/7 - (-29)\/((-1015)\/30). Solve -l = 7*i + 4*s, 5*i - 8*i - 11 = 4*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/180 - 8*k**5\/45 - 5*k**4\/4 + 18*k**3 + 35*k**2 + 15*k - 4. Let q(m) be the first derivative of t(m). Factor q(c).\nAnswer: -2*(c - 2)*(c + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 600.1545 litres?\nAnswer: 600154.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31815 is divided by 215.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 16. Let a be b(8). Is -36 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -6, -3 in descending order.\nAnswer: -3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136)*-1 - sqrt(136)) + sqrt(136) + (sqrt(136) - sqrt(136)*-2*1))\/(sqrt(48)\/(sqrt(6) + (sqrt(48) - sqrt(1200))\/sqrt(8) - sqrt(6)))*-2)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 454786999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5\/7 - 36*z**4\/7 + 4*z**3\/7 + 324*z**2\/7 + 288*z\/7 = 0. What is z?\nAnswer: -8, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.026715.\nAnswer: -0.0026715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12862 divided by 3\nAnswer: 12862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 191*x**2 - 35*x - 156. Does 7 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 4*d**2 - 4 - 2*d**2 + 2*d**2 wrt d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/145 and 88494\/(-10962) - -2*4.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3243, -12968, -29175, -51864, -81035, -116688, -158823?\n\"Answer: -3241*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 35 + 731 = 0. Is t\/9 - 8\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 11*a + 25. Determine c(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -12, 1\/57, -0.196, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164008 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 10*s**2 - 6*s - 5. Let q be k(6). Let v = q - -788\/7. Let x = 5\/62 - 49\/31. What is the third smallest value in -0.1, x, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -10.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 20 + 34 + 175*o**4 wrt o.\nAnswer: 700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -9) + -90 + 40.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d**2 + 2*d + 3. Suppose 5*l - 2*l - 33 = 0. Let h(t) = 5*t**2 - t - 1. Let w(m) = 22*m + 356. Let u be w(-16). Give l*h(o) + u*i(o).\nAnswer: -o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4 - 12*x**2 - 17*x**2 + 30*x**2 + x. Let m(n) = -n**2 + 6*n + 3. Let o be m(5). Let j = -8 + o. Calculate z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + 2. Suppose -3*o = -q - 15, o + 3*q = j*q + 5. Solve 3*d - 5 = -3*v - v, -4*d = o*v - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = 2*x - 3*r, 19 = 4*x + r. Suppose 3*g = 3*y - 162, -2*y - 3*g + 2 = -86. Let b = y + -34. Solve x = 5*d - b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-one halves of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 15*v + 2*v**3 - 15*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 765 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3890546 by 90.\nAnswer: -1945273\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -64*d**2 + 96*d - 36 = 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95511295 to the nearest integer?\nAnswer: 9773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1 - 3 + 22*l - 28*l. Let u be j(-4). Calculate the highest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t**3 - 28*t**2 - 50*t + 1. Let f be h(-2). What is the fourth smallest value in 0, -1\/5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1905 and 14?\nAnswer: 14.1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 489 = -5*b + u, 5*b - 501 = 2*u. Suppose 3*r - b = -2*c + 89, -3*r + 191 = 5*c. Is r a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*k**3 - 561*k**3 + 1057*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j + 59. Determine v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 874 and 1104.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 5*j. Let t = 1805 + -1811. Determine n(t).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) -0.17 (b) -1.3 (c) 5 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)\/r)\/((r**2\/r)\/r*r)*(r\/r**(2\/3))**4)\/((r**(1\/3)\/r)**(6\/5))**(18\/7) assuming r is positive.\nAnswer: r**(37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 30. Let g be r(-14). Solve -2*m = b - 13, m = 6*m - g*b - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 71 = 59. Suppose d*q = 15 + 17. Solve -q*s = -9*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a + 328. Let u be (-1)\/(-6) + a\/24. Suppose b - 11 = u. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2123 - -0.0123. Which is the second smallest value? (a) k (b) -2\/9 (c) 2 (d) 3\/4 (e) 199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 2*f - a, -2*f + 8 = -2*a. Let h be 3 + 1 + f - -1. Suppose -q - 160 = -5*c + 174, -4*q = h*c - 272. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24120 - -30582.5. What is m rounded to the nearest 10?\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - s, -8*s = l - 3*s - 23. Let w(g) = 3*g + 17. Let a be w(-5). Suppose -a*f + 13 + l = 0. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(420)\/(sqrt(12)*1))\/((sqrt(5) + -1*sqrt(5) + sqrt(5))*6 + sqrt(5)) + -2.\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 203*c + 1760. Calculate n(16).\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13504375.\nAnswer: 5, 17, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002541 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -866784275 divided by 175\nAnswer: -4953053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015561 to five decimal places.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108040 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j. Let o be k(-13). Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3250 and 1104625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*a - 38*a + 565*a**2 + 23*a - 1844*a**2 - 1018*a**2)*(0 + 3 - 1) to h*a**2 + k*a + j and give h.\nAnswer: -4594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**4*x - 3852*p**3*x + 118*p*x + 4 wrt p.\nAnswer: -48*p**2*x - 23112*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1732*t**3\/3 - 1267*t**2 - 1043. Find the second derivative of z(d) wrt d.\nAnswer: 3464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 415056 - 88944 = 0. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158.36 or -4?\nAnswer: -158.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165 - -8?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/7 (b) 59 (c) 4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2275 = 6287. Let d = -1643 + f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 851, 1547, 2071, 2399, 2507, 2371, 1967?\n\"Answer: -4*s**3 - 62*s**2 + 910*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**2\/2 + 4. Let x(p) be the third derivative of -2*p**2 + 0*p**4 + 0 + 0*p**3 - 1\/10*p**5 + 0*p. Give v(x(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let k(q) = 56 - 64 + 607*q**2 + 8. Give s(k(b)).\nAnswer: 736898*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 22*l - 12. Determine d(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2281 + -1124. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2. Let j(u) be the first derivative of -2*u**4\/3 - 22*u - 20. Let l(f) be the first derivative of j(f). What is q(l(d))?\nAnswer: 192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1214446, -1214423, -1214400?\n\"Answer: 23*c - 1214469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 8*t - 62. Let h be f(8). Solve 0 = -h*s - 5*n + 3 - 9, 5*s - 18 = 4*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10 + 0 - 2 - u. Let j be (7\/(-9) - -1) + 6424\/(-396). Let o be a(j). Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5794 + -5842. Sort 13, f, 0.5 in increasing order.\nAnswer: f, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3820686?\nAnswer: 2, 3, 636781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*v**3 + 1060*v**3 + 10*v**2 + 11*v**2 + 5*v**2 - 27*v**2.\nAnswer: 1905*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 22*o**2 - 3186*o + 67394. Determine d(21).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svhq when four letters picked without replacement from qvshhss.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299647 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-220))\/((-6)\/15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 + 3*t**4 + 0 + 27\/2*t - 1\/6*t**5 - 40\/3*t**3 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 354\/27*60\/8*3. Let k = 299 - l. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2617*q + 68183. Calculate i(26).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 1 - 8*v**2 + v - 3*v**4 - 12*v**3 - 14*v**2 + 20*v**2 to n*v**2 + a*v**3 + c*v + z + d*v**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*a - a - 48 = 0, -g + 17 = 2*a. Solve 3*x - g = 2, -5*x + 19 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58565*f**2 - 16*f**3 + 29279*f**2 + 29286*f**2.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 - ((-103 - -106) + 42)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 2*g**6\/15 + 5*g**4\/6 - 13*g**3\/6 - g**2 - 184*g. What is the second derivative of i(t) wrt t?\nAnswer: 48*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118898 and 12104?\nAnswer: 42327688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 636*x - 634.\nAnswer: -2*(x - 317)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.5. Let s = 6 + -5.96. Let x = s - -0.46. What is the smallest value in t, -1\/5, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 + -2021\/8. What is the third biggest value in b, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104 - -1030310?\nAnswer: 1032414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -309140 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 117245.2?\nAnswer: -117244.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 439\/5 + (0 - (-1)\/5). Let w = c + 16. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 17 + 17.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2678, -2679, -2680, -2681, -2682, -2683?\n\"Answer: -j - 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -120704205 and 3792.\nAnswer: -120700413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 47*m**2 - 2*m - 3. Does 12 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20885, 76065, 168031, 296783, 462321?\n\"Answer: 18393*d**2 + d + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/7)*i)\/(i**(1\/3)\/i*i))**(1\/3) assuming i is positive.\nAnswer: i**(29\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times 42.11?\nAnswer: 2905.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918 and 324?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20216080 (base 9) to base 13\nAnswer: -2015b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 40*o**2 + o. Let p be f(-3). Let m = 352 - p. Let x(g) be the third derivative of -g**6\/120 - g**5\/12 - g**4\/12 - 7*g**3\/6 + 2*g**2. Give x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*d*u**2 + 8003*d*u + 105277*d wrt u?\nAnswer: 22*d*u + 8003*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-146)\/5)\/(3\/(-15)). Is (1 + -4 - t)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let v = 1 + n. Suppose b - v = 5. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {e: 9, m: 1, h: 2, f: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 38*s = 480 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197239 + -194579.74. Round n to the nearest 10.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 13*l + 24. Solve 2*w = l*q - 5*q - 4, 5*q + 16 = -w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -185, -178, -171?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-396)*165\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3465, 3457, 3447, 3435, 3421, 3405?\nAnswer: 3387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 55. Calculate r(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 500597063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 53 = -5. Suppose 352 = d*y + 7*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37701 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0105 - -56.4105. What is x rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 11*o + 777. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 1)*(622*d - 622*d - 20*d**3) + (3*d + 5 - 5)*(0*d + 2*d**2 + 0*d).\nAnswer: 106*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 133796.3 and -96406304.\nAnswer: -96272507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4558936?\nAnswer: 2, 19, 89, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7 - (-9 - 1 - -20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -4*o + 723. Suppose 0 = 6*g - 35*g + 1363. Let t = g - o. Round t to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (0 - (-7 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g**2 + 30*g**2 - 2*g - 5*g - 47*g**2.\nAnswer: 23*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13762?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*b + 94, -b = -5*y - 0*y + 103. Let u = 28 - y. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150467 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 + 2 + 0*s**2 + s**2 to the form m*s + q + i*s**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (2 - (-50 + 24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*z - 1940*z + 4947 = 0. Factor -1\/8*g**z + 1\/2*g + 1\/2 - 1\/8*g**2.\nAnswer: -(g - 2)*(g + 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 19 = -17*a - 3*h, -5*a + 3*h - 37 = 0. Let g(c) = 6*c**2 + c + 5. Determine g(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -243 + 488. Suppose h = 7*z - 525. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 16*z - 4 + 181*z in the form y*z + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -938 + 1457. Let l = j - -456. What are the prime factors of l?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 + 100*q**2 - 2303*q - 4998 = 0. What is q?\nAnswer: -119, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101753422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 13 - 1. Let u be 4\/3*(-3)\/(-2). Put u, -1, j in ascending order.\nAnswer: j, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 9970 = -64025. Suppose -2*s + 18025 = 3*s - 2*r, 3*s - 2*r - b = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 12. Let k be (n - 0)\/(0 + 1). Suppose -35 = -k*u - 2*u. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -58*w**2 + 0*w + 71\/24*w**4 - 1\/20*w**6 + 0 + 0*w**5 - 1\/105*w**7 + 0*w**3. What is the second derivative of f(b) wrt b?\nAnswer: -24*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 10*p - 3. Let b be (-1 + (-9 - -4))*15\/10. Let j be u(b). Let a(m) = -10*m. Let d(l) = -19*l. What is j*d(g) - 11*a(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyyyiyyiiiy. Give prob of sequence iiiy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 1 + 1 + 5 - 7.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 42 - 50 - (3 - (57 - -3))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 123 = -5*o + 13, 0 = -3*r - 12. Let t be ((-32)\/6)\/((-8)\/o). Is 604\/t + (-3)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25420*n**2 - 3*n + 6927?\nAnswer: -50840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 34*s + 93 = 12*p + 29*s, -96 = -14*p + 4*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 11*f**2 + 10*f + 12. What is the lowest common multiple of s(10) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120500800807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220*h*z**3 - 2*h*z - h + 3*z**4 - 2*z + 17 wrt z.\nAnswer: 1320*h*z + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**2*x**2 - 14171*w**2 + 2*w + 6344*x**2 - 3*x wrt w.\nAnswer: -2*x**2 - 28342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 619080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**3 - 6*u**2 - 7*u - 9. Let p(g) = -6*g**3 + 6*g**2 + 8*g + 11. Let m = -135 + 129. Let k(c) = m*p(c) - 7*b(c). Calculate k(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118581.\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/14 - 282\/(-336) and -17\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-513 - -696 - 175) + (1 - (0 + 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192080)\/31899 - (6 + -12).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d + (-2*d + 4*d + 0*d)*(3 + 3 - 1) + d + 4*d - 6*d)*(3*d + d - 3*d + (-5 + 3 - 1)*(10*d - 2*d + 0*d)).\nAnswer: -161*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 12*r - 12*r - 2*r in the form g*r + u and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 44 - 66 = 0. Let k(u) = u - 2. Let s be k(4). Solve s*c + 9 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4068646.761 to the nearest 10000.\nAnswer: 4070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 60 - 54 = 0. Suppose -n + k + 24 = -w*k, 5*n - 48 = -3*k. Suppose -n = -j - 3*j. Calculate the highest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 3 + 3*a**2.\nAnswer: 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 26 + 14*d**3 - 18*d**3 + 46.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**7\/336 - c**6\/60 + 3*c**5\/80 - c**4\/24 + c**3\/48 + 14*c. Solve l(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 58.34335\nAnswer: 67.34335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x + 0*x - 2*x. Suppose -5*q = 9 - 4. What are the prime factors of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -106\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000159595 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266 - 24\/((-16)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 times -2017?\nAnswer: -1776977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2ca (base 14) to base 9\nAnswer: -703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 11, 3, 5, 7, -51 in increasing order.\nAnswer: -51, 0, 3, 4, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490 + 485.27. Let a = -0.27 + x. What is the nearest to -1 in -2\/23, a, 2\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40*t + 220. Determine w(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11 = -5*w, -2*z + 0*z = -5*w - 19. Suppose 0 = z*a - 73 - 35. Let i = a + -48. Solve -2*p - m - i = -6*m, -4*p + 18 = 5*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -53. Suppose -f = 3*m - 8*m. Calculate the least common multiple of 10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 - 8373*t**3 - t**2 + 122502.\nAnswer: 8*t**3 - 25119*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2590 = -8*c + 13*c. Let s be 24\/(-10)*(6580\/3)\/(-7). Let a = s + c. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, -144, -1, 799, -3 in descending order.\nAnswer: 799, 0.31, -1, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * -63.\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**3 + 14*w - 54. Let j be q(5). Suppose -3*x = 3*p - 972, -4*p - 2*x + 36 = -j. What are the prime factors of p?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 + 35 = 0. Calculate the remainder when 30 is divided by i\/(-12)*3 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4350 is divided by 2169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*h + 6, -h + 5*s - 29 = -4*h. Factor 4*l**h - 4*l**3 - 3*l + 3*l**3.\nAnswer: 3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 65 = g, 63*a + 5*g - 20 = 60*a. Solve -x - a = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 198 = -314 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 38 = -53. Let m(s) = 0 + 26*s**3 + 0 - s. What is the remainder when m(1) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 - u + 1. Let v be x(-1). Let d be (v - -25)*(-8)\/(-40). Suppose -2*p - 2 = 2, 0 = d*s - 4*p - 78. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17*2\/6 - (-110)\/(-165). Suppose -2*q - 4*l = -12, 0*l = -c*q - 3*l + 23. Suppose -4 = q*j - 12. Solve -4*a = -2*a - 5*w + j, 0 = -a - 2*w + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = -10. Let t(r) = -18*r. What are the prime factors of t(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13400826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 22*r + 6050 = 6157, 4*b + 4*r + 19 = r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2356, 4567, 6590, 8425, 10072, 11531, 12802?\nAnswer: 13885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1696 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2991742958.\nAnswer: 2, 2393, 625103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -65, -115, -177, -251?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - (2 + 151). Let u = 882 - 2075\/2. Let m = u - d. Do -3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtrt when four letters picked without replacement from {t: 2, r: 4, e: 1, g: 1, o: 4, d: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 8*n + 6. Let p(q) = q**2 + 7*q + 4. Let u be p(-4). Let r be k(u). Solve -m + 20 = -r*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104775 and 2200.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4*3)\/(-2) + -2. Let p be ((-15)\/(-6))\/((-2)\/w). Sort 0.5, -3\/5, p in ascending order.\nAnswer: p, -3\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + 1*sqrt(228)*3)\/(sqrt(24)\/(2*sqrt(2))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 + -747. Is i not equal to -617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/140*200\/(-125)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3175 = -4*v + 3167, -35*v - o + 109 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from rgsrsg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268863361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/13 (b) -3 (c) -4\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:28 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107417 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*g**4 + 3*g**3 - 568*g wrt g.\nAnswer: -288*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-144)\/40)\/(18\/(-21187305)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37, -2, 2, -24.6007 in increasing order.\nAnswer: -24.6007, -2, 1\/37, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 - 4 = 0. Let k(p) = -6*p + 4. Let f be k(y). Suppose 5*c = 9*c - f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - h + (2*h - 2*h - 4*h)*(-3 - 1 + 5) - 3*h + h - h + (-4 + 1 + 1)*(5*h - 2*h - 4*h) to the form w + j*h and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -101*f**7\/210 + 9*f**4\/2 - f**3\/6 - 10*f**2 + 5*f. What is the second derivative of r(x) wrt x?\nAnswer: -1212*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 10*l - 10. Let n be u(-8). Let r(v) = v - n*v + 7*v. Let q(b) = 4*b**2 - 2*b**2 + 0*b**2. Determine q(r(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -802 - -14?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 41. Let f be -3 + (-4 - -6)*42\/4. Let k be 4\/f - 2\/36*4. What is the tens digit of j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -23. Differentiate 12 + 1379*h**2 - 1379*h**2 + 10*h**q with respect to h.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 3, d: 1, z: 3, i: 1, b: 3}. Give prob of sequence zzs.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 247, 4, 0 in increasing order.\nAnswer: 0, 1, 4, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*x - 1 = 9, y + 3*x - 13 = 0. Suppose -5*g + 47 + 33 = 0. Calculate the greatest common factor of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10224 + 47003. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15517382 - 15517382.90000056. Let v = -0.9 - f. What is v rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/31 or -2?\nAnswer: -38\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/(-7) + 12\/3 - -214. Suppose 7*n - g = -8*n. Calculate the lowest common multiple of 18 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -3*u - 9*u + 31 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 = 2. Suppose 0 = 3*l + 4 - 16. Let n = a - l. Calculate the least common multiple of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 11408?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)\/(5\/40*4). Suppose -r*n = -10*n + 64. Which is smaller: n or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 230642410?\nAnswer: 230642405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 - -3) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*((-105)\/14)\/(-5)*(-961368)\/(-2931)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -599698606 >= -599698606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 + 10*s + 3. What is the least common multiple of 10 and b(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:11 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1242041 + 430?\nAnswer: -1241311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -287990 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/9395, -6 in descending order.\nAnswer: 0.5, 2\/9395, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27018*l*r**4 - 3*l*r**2 - 46*l + 16892*r wrt r.\nAnswer: 324216*l*r**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 - 191 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-18)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -3*u - 2, -2*u = 4*n - 4. Suppose 2117 = 117*x - 3265. What is the remainder when x is divided by (2\/3)\/(u\/(-72))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -22*h**2 + 26*h + 1. Calculate t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 35 = -3*p - m, 49 = 3*p + 5*m. Calculate the remainder when 15 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3889 and 528?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 7*g + 5. Let r be w(8). Suppose -2*n = -4*n. Suppose r = q - n. Calculate the greatest common factor of q and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upppttt. Give prob of sequence ptp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -40. Let f(m) = 27*m**2 + 14*m + 30. Let o(h) = 28*h**2 + 12*h + 31. Let w(t) = k*f(t) + 7*o(t). Differentiate w(c) wrt c.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 19. Solve -u = -5*y - 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.44776 centuries to years.\nAnswer: 3544.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.08. Let m = w + 0.18. Is 2 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -104, -263, -520, -869, -1304, -1819?\n\"Answer: s**3 - 55*s**2 - s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - -1.1. What is the closest to -2 in k, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:42 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132102 (base 4) in base 12?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -22719975\nAnswer: 34079962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 79*z - 52324. What is r(-185)?\nAnswer: -3484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31324 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 - 81 = 24*o + 458 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*a**5*s - a**5 + a - 631*s wrt a.\nAnswer: -940*a**3*s - 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4 * 36412.96.\nAnswer: -305868.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150.2 - -149.8. What is the third biggest value in -1.37, r, -4\/5?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12240 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhqd when four letters picked without replacement from hdqddhd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -632 + 228. Let j be -3 + x\/8*-206. Suppose 2*c = 5*a + j, -4*c - 10400 = -6*c + a. Round c to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.23*-119\nAnswer: -2645.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*q - 195 + 220, -3*q + 15 = -8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -586 + 1726. Let y = -2357\/2 + n. Let k = 357\/37 + -1931\/296. Calculate the common denominator of y and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 2*n**2 - 2*n**2)*(4 - 1 - 2) - n**2 - n + n - 4*n + n - 2*n**2 - n to the form t*n + r*n**2 + i and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v. Suppose 2*w + w - 6 = v. Let c be 1*(7 - 1) - w. Solve -4*j = -2*s + c, -3*j + s - 9 = -8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*s + 68, g - 3*s - 10 = s. Let d be 4 - (0 + (1 - 0)). Suppose -d*u = -j + g, 5*j - 15 = u + 3*u. Which is greater: j or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -10010000120?\nAnswer: -10010001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e0 - 0?\nAnswer: -5e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2411020 - -2410919.0011. Let k = 101 + h. Round k to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**2 + 3*p - 7. What is r(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -8*r + 45. Find the second derivative of 24 - 5*t**3 + 4*t**3 + t**r + 13*t - 5*t**4 - 21 wrt t.\nAnswer: -48*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 8. Suppose 5*x + 10 = 0, -2*g - 4*x - 12 = 14. Let o = 21 + g. Does 4 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6 - 7. Let x = d + 1. What is the lowest common multiple of x and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 22 = 10*l - 14*l, -6 = -z - 2*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-6)*(-216)\/(-12))\/(-1). Suppose -3*q + z = -2*c, 0*c - 44 = -2*q - 4*c. Let h = -61 - q. Is -83 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22304 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/209 and 25\/924?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let j be ((-3352)\/(-12) - -1) + g\/3. Suppose 0*r + j = 5*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:37 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 - 11*c**3\/3 + 5*c**2 + 3*c + 5. Let u be n(10). Let r(v) = 10*v - 2. What is the units digit of r(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16082 and 90703?\nAnswer: 106785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - 8.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i + 49*i - 59 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) - 15\/(-25). Suppose y*a = -a + 26. Suppose -2*s + 94 - a = 0. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n. Let q(u) = 0 - 421*u**2 + 189*u**2 + 201*u**2 + 0. What is p(q(h))?\nAnswer: -93*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 468*n + 466*n + 59, -7*n + 43 = 4*d - 4*n for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d - 15*d + 4606 = 0. What is the greatest common divisor of d and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2013443 (base 5) to base 14\nAnswer: bb25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 103. Determine w(-39).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1936870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853865 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b + 109. Does 32 divide k(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxxxxxhxxxx.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 9. Let n be q(6). Let t(a) = -n + 3 - a + 1. Let x be t(-3). Solve x*u + u + 4*i + 25 = 0, 0 = u + 3*i + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 11*o - 25. Let i(m) = 471*m**2 + 13 + 7 - 7*m - 470*m**2 - 3. Determine -8*i(v) - 5*p(v).\nAnswer: 2*v**2 + v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349577039?\nAnswer: 7, 97, 514841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -533, -888, -1243, -1598?\nAnswer: -1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 91.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 - 13*w + 53. Let i(n) = 8*n**2 - 9*n + 37. Let l(z) = -5*g(z) + 7*i(z). Give l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 594.576905 to the nearest integer.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 530 = -5*b, b - 82 = -7*a + 11*a. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 68 = 68 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 4 (d) -0.4 (e) 571206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let y be 2\/(-2)*(8 - 9). Give i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4*(-8)\/6. Let u be (0\/n)\/(5\/(-5)). Solve 3*w - f = -18, u = w - f - f + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 9*i**2 - 11*i - 2. Let s be p(-3). Let l be (11 - 441\/28)\/(3\/s). Suppose 19 + 16 = -5*u. Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63313 (base 8) in base 11?\nAnswer: 18853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6) + (-1)\/(-2)*-2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -37*d**8\/24 - 205*d**5\/6 - 517*d**2. Find the third derivative of r(u) wrt u.\nAnswer: -31080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-30080790)\/9)\/10)\/(2 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g = 12, 4*m + 18 = 2*g + 3*g. Is (-28)\/(-8)*(-2374)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -777154, -777156, -777158, -777160?\n\"Answer: -2*d - 777152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*h - 66 = 0, 2*z = -0*h - h - 31. Let q be 4 + -2 - (-34)\/z. Which is the nearest to 1? (a) 3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (5\/4 - 6). Let -1\/4*t**2 + 1\/2 - b*t = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 14.78311mm?\nAnswer: 14783.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x**2 + 22*x**2 + 3*x**2. Let t(m) be the third derivative of m**4\/8 + 4305*m**2. What is w(t(g))?\nAnswer: 387*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12ab + -2512?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(2 + 1))\/(-4 - -3). Suppose y = 3*s - u + 3*u - 70, 0 = -5*s - 5*u + 120. Let x = -7\/109 + -3984\/763. Calculate the common denominator of x and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436.3806 - 435.2. Round w to 2 decimal places.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/451 or 0?\nAnswer: 3\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, 221, 331?\n\"Answer: 110*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -27)\/(-1) + 2. Let g = -3 - m. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -799 or -947?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22581 take away 1034454238?\nAnswer: -1034476819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060 + 1179 = 209*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0 + 0*r**3 + 0*r - 1\/105*r**5 + r**2 + 0*r**4 - 1\/420*r**6. Factor n(p).\nAnswer: -2*p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - -5 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evzv when four letters picked without replacement from evzuzzvzupzezeu?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 20*m - 8. Let a(w) = -w**2 + 19*w - 6. What is 4*a(q) - 3*h(q)?\nAnswer: 5*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6642.816 nanograms?\nAnswer: 0.006642816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 14 - 3*g**3 + 31 in the form s*g**3 + j*g**2 + v*g + h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let q(d) = 75*d**2 + 788*d - 13. Give q(x(p)).\nAnswer: 75*p**4 + 788*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from ddmmdqddqzddzqqdzd?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o + 4*o - 18*o + 4*o - 15. Let t be f(-9). Let q = 66 + t. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1847 - -83098\/45. Is 1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623 - 183 + 46 = 88*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/90720 + s**5\/30 - 7*s**2. Let v(y) be the third derivative of f(y). Factor v(i).\nAnswer: -2*i**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17622554 and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5975, 5904, 5707, 5318, 4671, 3700?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by -4 - 19*(-1 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15313 + -107189\/7. What is the closest to -3\/13 in 26, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 59. Let p be (-2)\/3*((-25)\/2 + a). Solve 0 = -p*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10975 = 5*h, -21896 = -5*b - 2*h + 5469. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -7*y + 134, -10*v + 8*v - 12 = 4*y - 54 - 56 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 17144*r**2 + 102756*r + 154080.\nAnswer: 4*(r + 3)**2*(r + 4280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/11, 4, -4\/5, -2\/495?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*g - 17*g + 47*g - 29*g as b + s*g and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:23 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1441 divided by 30\nAnswer: -1441\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*i - 416 = 176*i. Let a be ((-24)\/(-40))\/(2\/10). Put 1, a, 10, i in ascending order.\nAnswer: 1, a, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 8*g + 11. Let k(p) = 8*p**2 - 9*p - 12. Let r(i) = 7*b(i) + 6*k(i). Let h be r(4). Does 9 divide (7 + h)\/((-2)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j - 4*w, 4*j + 9 - 26 = w. Let p(y) = -4 + j - y - 17*y. Let z(c) = 14*c**2. What is z(p(m))?\nAnswer: 4536*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(-1419)*1 + (-80567126)\/(-86) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 10*t - 10. Suppose 5*i = 10*i - 2*d - 26, 5*i - 40 = -5*d. What is the remainder when l(-7) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1348, 1347, 1346?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5*y**3 - 2 - 9*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17928 + -71709\/4. Let d(q) be the first derivative of -12*q - 17 - 27\/2*q**2 - s*q**4 - 6*q**3. Determine b so that d(b) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3560*b + 1653. Is u(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2526899236*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7361261ns in seconds?\nAnswer: 0.0000000007361261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -124 - 36. What is the third smallest value in 2\/5, 1.4, n, -5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772 = 30*c - 2042 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o**3 - 89*o**3 - 111*o**3.\nAnswer: -263*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 20. Suppose 58*o - 9*o - 686 = 0. Suppose -18*p = -o*p - 6*p. Solve p = 5*f - y - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18717 or -18722?\nAnswer: -18722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76260700633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -91537 (b) -1.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*b + 2*b**4 - 2082*b**2 + 0*b**4 + 2176*b**2 wrt b.\nAnswer: 24*b**2 + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-22)\/8)\/(8\/(-56)) and 40\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -692, -1379, -2062, -2741, -3416?\n\"Answer: 2*w**2 - 693*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30395.37498 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 23701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 5\/183?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6868 and 193920.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s + 2377 = -8319. Put 3, -4, -1, s, -8 in ascending order.\nAnswer: s, -8, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/2 + 12 - (-5 - 8). Solve 3*o + 2*o + h = 2*u, -5*o = 3*u + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*o*p**4*x**2 - 74*o*p**4 + 2*o*x**2 - 2*p*x**2 - 10*p*x - 6*p wrt p.\nAnswer: 1920*o*p**2*x**2 - 888*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*l**5 - 73*l**3 + 204*l - 68*l**3 + 141*l**3 wrt l.\nAnswer: -3620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (5 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 619720487 rounded to the nearest 1000000?\nAnswer: 620000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.973 + 1.913. Sort 5, -5, k in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 60*y + 305. Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125257 and 6217302.\nAnswer: 68390322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.8. Let x = v + 3.8. Let b = 1.4 + -1.6. What is the biggest value in b, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a + 924 = -45*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose c*m = -2*p + 11 + 15, 2*p = m + 1. Suppose -15 = -n - 4*r + 6*r, -39 = -2*n - m*r. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 756 - 3766\/5. Suppose 12*c = 9*c + 42. Suppose -3*y - 4*y = -c. Are d and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 72 = -s, 2*s - 211 = -s + 2*l. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6089?\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*z**3 - 164*z**2 + 1704*z - 3?\nAnswer: -246*z - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**3\/3 + 5*t**2 - 75969*t. Let i(u) = -u - 9. Let c be i(-6). Calculate j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5140818 (base 9) to base 15.\nAnswer: 392bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(500) - (sqrt(500) + sqrt(500)*2*-5) - (sqrt(500)*2 + -3)) + 0.\nAnswer: 2 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(-33)\/((m*m*m\/((m*(m*m**(1\/5)*m)\/m)\/m)*m)\/m*(m*m\/((m**18*m)\/m))\/m) assuming m is positive.\nAnswer: m**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x**2 - 267*x**2 + 65*x**2 + 4*x**2 to the form q + o*x + a*x**2 and give a.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**3 - 3*h**2. Let n(m) = 248*m**3 - 56*m**2. Suppose 15 = 4*k + 3*c - 2*c, k = -8*c + 27. Calculate k*n(l) - 56*w(l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 - d?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (685\/2)\/(4\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191221 + 191378. Calculate the remainder when k is divided by (12\/(-1))\/((-4)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -228807.\nAnswer: 5\/228807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**4 + 1964*c**3 - 72*c - 1982*c**3 + 84*c**2 + 3*c**5 + 0*c**5.\nAnswer: 3*c*(c - 2)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pzzzzppzpz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 smaller than -18508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 1 - 2, 12 = 3*j - 3*g. Suppose -5*s = -3*w + 5*w - 3513, j*w = 3*s - 2114. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -13.3. Let d = 15 + s. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128439 is divided by 606?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 28. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -3 + 1 + 2. Let z be 2\/g + 0\/(-4). Suppose -92 = -z*y + 32. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h + h**2 + (18*h + 8279 - 8279 + (-4 - 2 + 4)*(h + 0*h + h))*(-2 + 0 - 2*h + 3).\nAnswer: -27*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 13) - (-72 + -36 + 35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 952645 at most 952645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 771939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10242)\/(-7966)*10\/(-6)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -460 + 325. Let m = t - -135.91. Let p = 0.25 + m. Round p to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 75 = -4*q. Suppose -2*b + 7*b + 5*d = 95, 2*d + q = 3*b. Let h = b + -9. What is the highest common divisor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a - 3. What is the remainder when 38 is divided by d(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(6) + sqrt(54)))\/(sqrt(10)\/(sqrt(15)\/sqrt(3))).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 2*b)*(0*b + 2*b - b)*(-2*b - 6*b**2 + b**2 - 7*b**2).\nAnswer: -24*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.98 - 0.02. Let z = -6 - y. Let o = 0.74 - 0.34. Put -4, o, z in descending order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81433 (base 11) to base 13\nAnswer: -42203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11360\/21927 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*r**3 + 31\/9*r**2 - 2\/3 + 1\/9*r.\nAnswer: (r + 1)*(3*r + 2)*(8*r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163*l = 1164*l - 395 - 546. Solve -l*q + 77 = -930*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.82 and 65.34.\nAnswer: -118.9188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 4*v + 1. Let o be 2\/(-4)*6\/(-1). Let l be z(o). Solve 0*k - l*k = 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, z: 9}. What is prob of sequence zxxz?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 336 + 312. Let s = -105 + i. Suppose d + 4*d = 35. Solve -5 = s*t + d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3.3, 0, 0.5, 2.2 in decreasing order.\nAnswer: 4, 2.2, 0.5, 0, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in 0.3, 1\/2, 3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(720)*-2 + 1 - ((sqrt(720) - (-3 + sqrt(720) - sqrt(720) - sqrt(720))*-6) + sqrt(720))**2) + -2)*-2.\nAnswer: -94739 - 14016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 0.04 in descending order.\nAnswer: 0.04, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 28*j**2 - 126*j - 111. Determine b(-23).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7718346 meters in centimeters?\nAnswer: 77.18346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 - 190*m**4 + 6228*m**3 + 292858*m**2 - 950053*m - 1236492 = 0.\nAnswer: -27, -1, 4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -220*t + 228*t - 16. Sort 3, t, -3, -14.\nAnswer: -14, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let z(w) = -14346*w. What is m(z(f))?\nAnswer: 411615432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-8*6\/1200)\/1.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j**2 - 3*j**2 + j**2)*(408*j**2 + 142*j**2 - 1191*j**2)*(6 - 4 + 0) as t*j**3 + c*j + g*j**2 + a + l*j**4 and give l.\nAnswer: -6410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -2, -1, -5, 247, -3.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - 4 + q**2 - 2*q**4 + 2*q**2 + 6 + 2*q to the form l*q**3 + n*q + v*q**4 + k*q**2 + i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1354 (b) -4 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277*a*m**3*v**2 + 2*a*m*v**2 + 29*a*m - 28*m**3*v**2 - 4*v**2 wrt m.\nAnswer: -1662*a*m*v**2 - 168*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/41 or -1?\nAnswer: -19\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 27, 116, 299, 600?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 divided by -6?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0178 times -0.2\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -3*n, 4*a - 3 = -n - 0*n. Which is greater: 2\/421 or n?\nAnswer: 2\/421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 15) in base 7?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-4 - (-62 - -8)) - -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 2.9. Let y = 3.5 + q. Let x = 0.5 + -4.5. What is the smallest value in y, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**5 + 54929*j**2 + 3*j + 1154154 wrt j.\nAnswer: 60*j**3 + 109858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*o)*(1 - 4 + 1) + 1 - 1 + 2*o)*((-1 + 4 - 5)*(15 + 3 - 1) + (0 - 1 + 0)*(3 + 3 + 0)).\nAnswer: -240*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/2)*b)\/b**(1\/9)*b*b**(-1\/6)*b\/(b*b*b*b\/(b**(-2\/17)\/b)*b) assuming b is positive.\nAnswer: b**(-443\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, -1, 0.4, 4\/3 in descending order.\nAnswer: 4\/3, 0.4, -1, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363399563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 7. Suppose 0 = -2*y + 10, -6*y + 40 = -5*b - 4*y. Suppose -9 = -h + 1. Calculate the remainder when k(b) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/5*(-70)\/(-4). Suppose -3*h = 2*h - 25. Suppose -i - 2*i + h*m = 0, 5*i = -m + k. Sort i, 2, -1 in decreasing order.\nAnswer: i, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**2 - 10*m. Let j(p) = -13*p**2 + 19*p. Let i(r) = 11*g(r) + 6*j(r). Suppose 0*t + 10 = 2*t. Let z be i(t). Sort -3, -2\/5, z in increasing order.\nAnswer: z, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1262 = 3*r + 3475. Let k = -1060 - r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let y be 2*(f - -3) + -2. Is (-19)\/2*(y + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r - 2*r - 2*r - 7*r + 13. Let t be q(6). Let h = t - -38. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from cooccocccc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2476 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 581747945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(588)\/(sqrt(12) + (sqrt(96) - (sqrt(96) - sqrt(96)*-2))\/sqrt(8)))\/(sqrt(252)*2*-2).\nAnswer: -3 - sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:43 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:40 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 37 = -3*z, 0 = -13*z + 9*z - 3*k + 51. What is the least common multiple of (20\/(-75) + 8\/z)*70 and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2)*(-1)\/3. Let r = 10 + -8. Let f(t) = 2 - 1 - r. Let u(w) = w. Determine z*u(l) + f(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7335 = k, 26*k - 31*k + 36588 = 4*f. Let u = 20587 - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 4}. What is prob of sequence jjkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2\/7 + 143211*t + 37095756\/7 = 0.\nAnswer: -37, 334196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 11*y - 2. Let w be i(11). What is the units digit of (2 + w*10)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-6)*(-240)\/210*(-7)\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdknhne. What is prob of picking 1 e and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 5*j + 2, -10 = -5*z - j. Suppose -33 = -2*d - c + 21, 0 = 2*d + z*c - 58. What is the remainder when 99 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20576 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 22 = -8. Let k be (5 + 1)*4\/6. Suppose 4*u = k*p, -5*p + u + x = -u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-35) - (-6)\/10. Suppose -2*d + 0*d + 326 = m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 4. Let q be w(-4). Suppose -67*c - 598*c = -252*c - 3304. Solve q*j + 4 = c*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, 1, 4, 0.5 in increasing order.\nAnswer: 0.5, 1, 4, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + j**3 - 6*j**2 + (j**2 + 2*j**2 - 2*j**2)*(4*j - 6*j + 0*j) + 4*j**3 + 3*j**3 - 5*j**3)*(0 + 0 - j).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*q**2 + 2*q - 148 + 146*q**2 - 247*q**2 to the form a*q**2 + d*q + p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = i, -7*r = -3*r - 5*i - 20. Suppose -10 = 3*g - 8*g. Factor -f**r + 4*f + 2*f**3 + g*f**3 - 2*f**3 - 5*f.\nAnswer: -f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439240 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b**2 + 905*b**2 + 379*b**2 - 74*b**2 + 2311*b**2 as n*b**2 + d + g*b and give n.\nAnswer: 3508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/40 and -137\/888?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = 85*a + 56 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x. Let r(g) = -g**2 - 18*g + 5. Let q(f) = 3*j(f) - r(f). Calculate q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6103149 and 1877892?\nAnswer: 24412596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2)\/((-4)\/(-8)). Solve -2*x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -28175, 3 in increasing order.\nAnswer: -28175, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66027 - 2b?\nAnswer: 65bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:38 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -q + 9, 5*g - 10 = 6922*q - 6923*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeceeeceee?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grr when three letters picked without replacement from {r: 4, e: 3, k: 2, a: 2, g: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337*q - 8 = -1339*q. Let o(a) be the first derivative of -q + 0*a**3 + 3*a**2 + 0*a - 1\/2*a**4. Find the second derivative of o(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose 0*g = -3*w - 2*g - s, 2*g = 5*w - 20. Is (-235)\/(-5) - (w - 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 3.46 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 12*z**2 + 8*z - 1. Suppose -17*a + p - 53 = -21*a, 5*a + 4*p = 58. What is the remainder when j(-13) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33\/8 - -235\/56. Let z be (-8)\/(-28) + 2\/14. Let w = p + z. Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 6*a + 4*a to the form b + w*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 + 1 - -1)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6446 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151888 - 1002878 - 294255 - i**3 + 0*i**3.\nAnswer: -i**3 - 1145245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269 + -264. Solve -3*f = -s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 38*d**2. Let a(l) be the third derivative of l**5\/15 + 3*l**2 + 5*l. What is w(a(u))?\nAnswer: 608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -2*h + 30. Let q = h + 26. Suppose m = -q*m + 72. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-7)\/(28\/(-12)). Suppose -q*p - 40 = 2*p. Let s(i) = -7*i + 25. Let n(w) = 4*w - 13. Let h(x) = 11*n(x) + 6*s(x). Calculate h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3) + -2 + 6. Let z = 6 + o. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10529, 21452, 33147, 45998, 60389, 76704, 95327, 116642?\n\"Answer: 64*t**3 + 2*t**2 + 10469*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from kkkkrrkkkkrrkkkkkkkr?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -47*k**3\/3 - 23*k - 3. Let p(t) be the first derivative of o(t). Let c(h) = h. Give p(c(v)).\nAnswer: -94*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1ded0d?\nAnswer: 1ded13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k**2 + 80 - 28 - 27 - 28. Let v(q) = 3*q. Calculate r(v(u)).\nAnswer: 135*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and -127793.\nAnswer: -127814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 12) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1268*d - 5442. Determine s(4).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {c: 4, l: 1, d: 5, j: 1, e: 3, z: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/7)\/(l**1\/l)*l*l\/(l\/(l*l**(-12)\/l*l))*l**19*l assuming l is positive.\nAnswer: l**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13496, 13580, 13664, 13748, 13832?\nAnswer: 13916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/60*168\/(-14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0\/u*u*u)\/u)**(2\/45)*(u**(-1))**(6\/25) assuming u is positive.\nAnswer: u**(-44\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*l + 56 = 0, -5*r + 4*l + 22 = -4*r. What is the greatest common divisor of r and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 7*q**2 - 6*q - 2. Let l be a(6). Put 3, l, -4, -8 in decreasing order.\nAnswer: 3, l, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2 + 1. Calculate x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-188)\/(-20) - (-8)\/(-20). Let t = 15 + g. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2075*f + 2075*f + 2081*f + 2078*f - 8311*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266476?\nAnswer: 2, 3, 146291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2790, 0, 4, 3, -4.\nAnswer: -4, 0, 3, 4, 12, 2790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 + 3*u + 2. Let t(y) = -2*y**2 + 23*y - 13. Let w be t(11). What is the smallest common multiple of x(w) and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/120 - k**4\/6 + 5*k**3\/6 - 3*k**2. Let p(v) be the first derivative of n(v). Differentiate p(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (8 - 7)\/((-1)\/(-508)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132297610 rounded to the nearest one million?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -88*x + 31. Let f(l) = -175*l + 62. Let p(b) = 2*f(b) - 5*k(b). Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 3) + 6 + 5830\/770?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 41*a**2 - 17*a - 3. Let s(c) = -14*c**2 + 6*c + 1. Let j(i) = 17*s(i) + 6*z(i). Calculate j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*d**2 + 18*d**3 + 135*d**3 + 65*d**2 + 40*d**3 - 1624*d.\nAnswer: 193*d**3 - 1624*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - (21 + 3) - 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:57 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(128)*3 - sqrt(800))**2 - (6*sqrt(8)\/(sqrt(4) - sqrt(4)*3*1))**2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (20 - 20) + (7 - 16) + (-102)\/(-1).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/254562 and 155\/51156.\nAnswer: 10691604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.1. Let z(f) = f**3 - f**2 + f - 1. Let y be z(3). Suppose -s + y - 24 = 0. Which is the nearest to u? (a) 3 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 + 0*n**4 + n**4 - n**3 + (-3 - 2*n + 3)*(36*n**3 - 103*n**3 + 37*n**3) to f*n + h*n**3 + o + p*n**4 + u*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804416.\nAnswer: 2, 137, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 43*c**3\/6 - 19*c**2 + 5*c - 43. Let x(s) be the first derivative of w(s). Differentiate x(b) wrt b.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 - 22 = 0. Suppose -27 = -v*m + t - 0*t, -m + 2*t = 2. List the prime factors of 3 + 0 - (6 - m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 252814, 252818, 252832, 252862, 252914, 252994, 253108, 253262?\n\"Answer: p**3 - p**2 + 252814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - -49. Let i = q + -52. Let o = i - 19. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose -2*f - p*f = -4*a - 28, 4*a + 19 = f. Solve 0*t**4 - 2*t**4 - 3*t**4 + 50*t**3 - 125*t**2 + 0*t**f = 0 for t.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) -2\/9 (c) -0.5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 17*m**2 - 87*m - 88. Calculate z(-21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4*c + 4. Let f be (-2)\/(-24)*15*4. Let o be m(f). What is the second derivative of -o*n + n**4 - 8*n**4 + n**4 wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2312 divided by -2\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -69. Suppose 4*a - 3*a + f = 4*u, 4*a - 16 = -u. Suppose l + 2*g = 63, -a*l + 5*g + 173 = -60. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836858 to the power of 1\/2, to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(4\/17)*z*z\/z**(-1\/15)*z*z*z**(-4\/3) assuming z is positive.\nAnswer: z**(737\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -93*a + 2059. What is the lowest common multiple of c(21) and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2 + 3*m**4 - m**4 + m - m**2 wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 3*y**3 + 359*y - 127 - 431*y + 33*y**2 = 0 for y.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 56, 41, 20, -7, -40, -79?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230268875581 - 0.1.\nAnswer: 230268875580.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 594\/(-36) + (-124)\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y - 4*v, -2*v + 0*v + 11 = -5*y. Let b be (y\/4)\/((-3)\/36). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14 (b) 0.2 (c) 4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 10 - 34. Suppose -5*a = -i*k + 109, 2*k + 10*a = 11*a + 53. Suppose -5*s + 423 = 48. What is the remainder when s is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110758818, -221517638, -332276458, -443035278, -553794098, -664552918?\n\"Answer: -110758820*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -25805.294.\nAnswer: -129026.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 11\/350, 3?\nAnswer: 11\/350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.91 times 1?\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/4 - 31*b**3\/3 - 16*b**2 + 4*b - 38. Let h be r(32). What is the closest to 2 in -0.4, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*p - 0*p + 6, 3*p + 6 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 - 277*u - 2973. Determine a(-41).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -813, -1829, -3251, -5079, -7313?\nAnswer: -9953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and -2321453?\nAnswer: 2321442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g + 3921 = -9623 + 9638 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**(-4)))\/(j\/(j**(4\/9)*j))*(j\/(j\/j**(1\/4)))**(23\/2))**9)**(-1\/37) assuming j is positive.\nAnswer: j**(49\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/9))\/(w*w\/w**(-8)))\/(w**(2\/85))**38 assuming w is positive.\nAnswer: w**(-7739\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13710 = 103*p - 33155. Suppose -464 = 4*r - b + 230, r + 184 = -5*b. Let z = r + p. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/21)\/(153\/21 - 6). Sort -3\/4, 14.32, a.\nAnswer: -3\/4, a, 14.32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 374 = 26*m + 27*m. What is the remainder when (2\/3)\/(4\/582) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -966402 divided by -9117?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89588782, -89588784, -89588786?\n\"Answer: -2*d - 89588780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22881301?\nAnswer: 19, 1204279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + (sqrt(960) - -2*sqrt(960)*-2) + (sqrt(960) - -1*sqrt(960))*6)\/(-2*sqrt(24)\/(sqrt(88)\/(1*sqrt(11)))))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.23 + 6.16. Round k to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103?\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599988*o**3 + 1599986*o**3 - 748*o**2 - 93*o**2.\nAnswer: -2*o**3 - 841*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 + 1192*u**3 - 94964*u**2 + 1081040*u - 2880000 = 0.\nAnswer: 4, 9, 125, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(8\/(-12)))\/(-4 + (-1652)\/(-416))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.7. Let s = -190\/383 + -3\/766. What is the third biggest value in -0.1, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -795, 5, 79, 4?\nAnswer: -795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*s = 73, 0 = 3*z + 6*s - 7*s + 56. Let c(k) = -5 + 8 + 0 + 7 + k. Let v be c(z). Are v and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfs. What is prob of sequence fs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s\/s**(-2\/15)*((s*s\/(s*(s**(-8\/7)*s)\/s)*s)\/s)\/s*s*s*s**(2\/5)*s*s assuming s is positive.\nAnswer: s**(911\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 62 = -4*p, -5*p + 2*a + 56 = -21. Let x = 20 - p. Suppose -5*c - 4*o = -43, 3*c + 70 = 8*c - x*o. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8696 - -0.1304. Let h = -2.2 - -1.2. Sort h, 7, k in decreasing order.\nAnswer: 7, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -1545, -2332, -3129, -3936, -4753, -5580?\nAnswer: -6417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*o - 225 = -639*o. Suppose 0 = -2*q - 2*s - 3*s + 3350, -2*q = -s - 3350. Calculate the highest common factor of o and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc - 1018e?\nAnswer: -100b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d = 225. Let c = -20 + d. Suppose 2*o + 2*b = 10, -o - 7*b + 2*b = -c. Solve 2*i - i - 1 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5461 divide 401973288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -0.1, 5, -2\/23, 0.2 in decreasing order.\nAnswer: 140, 5, 0.2, -2\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32, 2308123 in ascending order.\nAnswer: 4, 32, 2308123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 + 0.8. Sort b, -0.1, -0.5 in descending order.\nAnswer: b, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajdqhzajd. What is prob of sequence qjj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(1 - 1 + 3*k) + 6*k + 24*k - 12*k + (2 - 2 + 2*k)*(-1 + 5 - 3) - 1 - k + 1)*(0*k**3 + 4*k**3 - 5*k**3).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 20*h + 15 = 0. Suppose 3*l - 5*l = 3*v + 21260, -h*l = -5*v - 35475. Round v to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (2*-3*(sqrt(300) + -2)*5*3)**2).\nAnswer: -324000*sqrt(3) + 2462402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5246500 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -500222442 (base 6) to base 7.\nAnswer: -131353565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33363 by -3707.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 11*s**2 + 11*s - 14. Let k be r(10). Let f(p) = -6*p + 2. Let b(c) = -2 + 0*c + 2*c + 5*c. Determine k*b(g) - 5*f(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1536, 6133, 13794, 24519, 38308, 55161, 75078?\n\"Answer: 1532*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 5567.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 4278 = 54*x + 89*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3710198 (base 10) to base 12\nAnswer: 12ab132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (1 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38.77339t?\nAnswer: 38773390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, i: 4}. What is prob of sequence iwii?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334064*a + 334064*a + 28401*a**3.\nAnswer: 28401*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 464*g**3 - 4*g**2 + 4*g - 1. Let m be r(1). Which is greater: m or 460?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/24 + 35*t**4\/12 - 575*t**3\/12 + 44*t**2 + 29. Factor b(y).\nAnswer: -5*(y - 23)*(y - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11292227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 8\/(-6))*3. Suppose 0 = 4*a + x - 2, a + 2*x + g + 1 = 0. Let w = 78 - 82. Put -7, w, a in decreasing order.\nAnswer: a, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/10*51\/(-153)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.09 (b) -190\/7 (c) -0.043 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*366313\nAnswer: 40294.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:44 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/88766 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 12*u + 0*u**3 + 0*u**2 - 1 + 5\/4*u**4. Differentiate p(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1309 - -2204. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-1940)\/6*(-8)\/(80\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f - 6. Let h be n(2). Let w(b) = -3*b - 1. Give w(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2 + 1 + 0. Suppose 4*c = -2*r + 1 + 7, 0 = 2*r - 4*c. Let b(o) = -35*o**r + 13*o**2 + 21*o**2 + o**3 - 6. What is -b(k) + 6*h(k)?\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 519702 (base 14) in base 16?\nAnswer: 2a0446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122467 divided by 11.\nAnswer: -122467\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/6 + 5*k**4\/6 - 4*k**3\/3 + 2*k**2\/3.\nAnswer: -k**2*(k - 2)**2*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -3\/2, -6, -28, 0.07, -67?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -0.3. Let q(s) = -2*s**3 - 41*s**2 + 67*s + 33. Let k be q(-22). Suppose -k*i = -21 + 21. What is the closest to i in 5, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}