{"text":"Question: Is 290903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 - -23.9. Let w = 3 - 4.5. Let j = -2 - w. Which is the nearest to 1?  (a) 0.2  (b) q  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60846 is divided by 6402?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 + 3)*(2*w - 2 + 2) + w + 2*w - 6*w - 194*w - 6 + 196*w - 1 to t + l*w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -55266 divided by 302?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 239 divide 609127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**4\/3 - 43232*x**3\/3 + 908835*x**2 - 15585300*x + 38965500 = 0. What is x?\nAnswer: -43295, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2460 = 4*h. Let l = h + 605. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24674585 is divided by 7509?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/4)\/((r\/(r**(2\/13)\/r*r*r*r*r))\/r))\/(r**(2\/13)\/r**(4\/3)))**(20\/7) assuming r is positive.\nAnswer: r**(275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*w = 4*w + 989, 2*t = -4*w + 678. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 1963455*s**2 + 5890344*s + 3926892.\nAnswer: 3*(s + 1)*(s + 2)*(s + 654482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 28542*t**2 + 87. Let c(i) = -3*i. Calculate c(w(r)).\nAnswer: -85626*r**2 - 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j - 1. Let w = 8 + -9. Suppose -4*z = 2*r + z - 18, -5*r + 14 = -3*z. Let l(o) = -3*o - r - 2 + 0*o**2 + o**2. Determine w*l(k) + 5*a(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*g + 73*g + 312 = 0. Let h = g + -74. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**3 - 7*o**2 - 2*o + 2. Let m be u(5). Let y be ((-8740)\/(-6))\/2 - 32\/96. Let d = y + m. What is d rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 393 = 26*a, -27 = -4*q - a - 46 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12126017 to three dps.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112321013 (base 4) to base 15.\nAnswer: -1cbb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 536 + -332. Calculate the highest common factor of 68 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -0.4, 1, -0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2*d**2 - 1)*(-4 + 2 - 167*d**2 + 181*d**2) in the form h*d**2 + k*d**4 + b*d**3 + w*d + g and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 8*v + 10. Let m be x(7). Suppose 26 = m*n - 55. What is the remainder when 80 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 + 12*b**2 + 6*b - 8. Let g be n(-5). Let w be 5 + (-2)\/4*-2. Let u be (2 + 4)\/(5 - 3). Solve -3*f = 3*r - g, 4*f - u*r = -w*r + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108246271323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.159 + 2172.\nAnswer: 2171.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (((-9)\/(-4))\/(10\/(-48)))\/(47\/((-28200)\/(-180)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 1288 + 4708 = 2*w, -2*w - 3428 = 2*y. Let x = -1135 - y. List the prime factors of x.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*15*(-1)\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 - 58. Which is smaller: -3\/13 or i?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8796751 to three decimal places.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53 - -49. Let c be 1 - 522 - 2*2\/i. Let z = -258 - c. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 6*s**2 + s + 8. Let p be k(-6). Suppose 39 = 3*c - 4*g, p*c - g = 28 - 7. Let x = 13 - c. Solve 1 = -5*i - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -7)*1 - 47712\/(-9408).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.0262.\nAnswer: 0.0786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + 3441?\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1265*t - 368*t - 327*t + 1962*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 2\/5  (c) 2\/11  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w + 10. Let g be y(-9). Calculate the greatest common divisor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2032 and 1672?\nAnswer: 424688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2076*a - 10. Determine t(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 0) + 0 + 0. Is (-333)\/(-18) + 1\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 543*o**2 - 27*o - 113. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -6. Suppose -w*n + 20 = -n + 5*v, n = -2*v + 8. What is the third derivative of -2*m + 2*m + n*m + 4*m**2 + 4*m**3 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 4*s - 118, -3*s - l + 106 = 4*l. Calculate the highest common factor of 54 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9920271149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 - 61935*g + 17669070.\nAnswer: -5*(g - 279)*(g + 12666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (3 - -1) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35840 and 107520.\nAnswer: 107520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 6 + 3. Let o = 7 - 10. Let b be -1*(0 + o*1). Solve 15 = 2*m + 2*p + j*p, 0 = 2*m + b*p - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-213)\/264*4 + 9\/(-33)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106599990?\nAnswer: 2, 3, 5, 7, 127, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*u - 4*u**2 - 95 + 0*u**2 + 20 + u**2.\nAnswer: -3*(u - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -733344 = -15*d - 81*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-4))\/(((-5)\/(-1))\/((-60)\/(-24))).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 205931513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -24, -2\/5, -22, 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {b: 3, s: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3078*f**2*o*z**2 + 16*f**2*o*z + 6*f**2*o + 3*o*z wrt z?\nAnswer: -6156*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 + (-22 - -46) + -6 + 8 + 10 + -22.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*z**3 - 1544*z**2 - 4604*z - 3064 = 0. What is z?\nAnswer: -383, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314418 is divided by 2217?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - (-4)\/1) + 22. Solve 3*b = -2*q - l, -5*q = 15 + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -12882*a + 7*a**3 - 2*a**2 + 2*a**3 + 0*a**3 - 3*a**3 + 12880*a - 1. Calculate r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 5:34 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1301 a factor of 20009443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -197\/27510 and -83\/20.\nAnswer: 55020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 29*j**2 + 22*j - 60. Let p be -10*(82\/28 + 57\/(-133)). What is the thousands digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + 3*2*sqrt(1573) - sqrt(1573) - (0 + 2*sqrt(1573))) + 3.\nAnswer: 3 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + ((4 + sqrt(176) + -5*sqrt(176)*2 - (1 + sqrt(176) + -1*sqrt(176) + sqrt(176))*-2) + -1)**2).\nAnswer: -1680*sqrt(11) + 51876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -101*q**3 + 8*q**2 + 27*q + 7. Let c(o) = 201*o**3 - 14*o**2 - 53*o - 12. Let s(g) = 4*c(g) + 7*w(g). What is the second derivative of s(m) wrt m?\nAnswer: 582*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(21)\/sqrt(3) + -1 - (sqrt(7) - (-2 + (sqrt(7)*1 - sqrt(7))))))**2 + -2 + 3 + sqrt(49)\/(sqrt(28)\/sqrt(4)))*-1.\nAnswer: -17 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2984.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -35  (b) -1  (c) -133  (d) 1  (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0621305 take away 58.422?\nAnswer: -58.3598695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00211129 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*o - 3*o. Factor -3*j**o + 3*j + 4*j - j.\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 520814860?\nAnswer: 2, 5, 26040743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -241, -516, -895, -1378, -1965?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -442, -1788, -4034, -7180, -11226?\nAnswer: -16172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*m + 33*m + 4*m**2 - 44*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/15)\/(12\/(-10)). Let k = 67\/285 + -2\/57. Which is the biggest value?  (a) k  (b) -4\/7  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from rrddrrddrrr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5143187?\nAnswer: 7, 43, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 2*u + 15 = 2*g, 4*g = u + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 12:29 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jah when three letters picked without replacement from jhaj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 1 + 15. Let j be n\/(-22)*(-264691)\/(-28). Let d = j - 3434. Calculate the common denominator of d and -11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -16, 0, -4, 741 in descending order.\nAnswer: 741, 0, -4, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -271 - -272. Let a = 0.231 + 0.069. What is the second biggest value in -5, f, 28, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 14*l + 19. Let g be v(-13). Suppose 4*p = 6*p - g. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/4)\/(13\/(9 + -3794683)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138872, -138875, -138878, -138881?\nAnswer: -138884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 12*q**2 + 4. Let w be u(12). Solve -3*h + 10 = 2*n - w*n, -5*h - 5 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 37774055*b**2 + 10956560 wrt b?\nAnswer: 75548110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34\/73 - 5961\/730. Let p = 29881\/10 - 2978. Find the common denominator of p and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*n + 22 = 0, -4*h - 27*n + 23*n = -76. Calculate the remainder when (-322)\/(-8) + 2\/(-8) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 - 63.94.\nAnswer: -48.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 9*j = -12*j - 24, 5*u + 2*j = 98. Let b be (84\/u*-3)\/(-1). Calculate the highest common divisor of b and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 775 divide 114825550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -50, -87, -124, -161, -198?\n\"Answer: -37*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of 3*n**3 - 4*n**3 - 3 + 2*n**2 - n - n**2 + 0*n. What is u(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.542 minus -83?\nAnswer: 79.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 63*o - 1414. Let x be m(23). Which is the closest to 0?  (a) -0.3  (b) 0.5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009936071 to 6 dps.\nAnswer: -0.000994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (722 + 64 + 312)*(-4*v**2 + 3*v**2 - v**2).\nAnswer: -2196*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, p: 4}. What is prob of picking 3 p and 1 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2535?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-15 + (10 - -9) + 2 - 36) + 10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2. Let j(k) be the second derivative of 7*k**4\/12 - 6*k. What is j(f(z))?\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 5*q**2 + 3*q + 6. Let p(n) = -4*n + 111. Let a be p(28). Let z(y) = y**2 - y. Let l(b) = a*i(b) + 6*z(b). Give l(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 5*j - 2. What is the lowest common multiple of 448 and g(7)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 663148273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(-2 + 1) + (-370)\/130. Is a at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2127618 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, -0.1, 4, -9, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 219 and -1579358?\nAnswer: 1579577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.31431.\nAnswer: -0.31431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 16*v - 14 = -14*v, -3*o - 4*v = -5. Which is the closest to -35\/3?  (a) o  (b) 2  (c) 0.4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - 0\/4)*(3 - 1919\/627). Let y = 165\/553 + -1\/79. Which is the third smallest value?  (a) 0.1  (b) y  (c) -5  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 504*l + 64. Let h(s) = -s**3 - 3*s**2 + 13*s + 17. Let k be h(-5). What are the prime factors of o(k)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55, 112, 167, 220, 271?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 110*z**4 + 22*z**2 - 125*z**4 - 2 + 3 as c*z**4 + s + y*z**2 + a*z + x*z**3 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 21 = 4*g + 9, 0 = -3*a + 5*g - 26. Let z be (-3)\/(a + 0 + 1). Suppose -z*t = -6*t + 192. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -15*s - 22. Calculate y(7).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: e2544 (base 15) to base 3\nAnswer: 1100102010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/6133 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + t + 1)*(7 - 1 + 0) + t - 2*t + 16*t)*(-4 + 3*t**2 + 4) to r*t**2 + b*t + s*t**3 + q and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 0. List the prime factors of m + 2 + 20 - 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/((-15)\/(60\/4)*(152\/48)\/19).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15351*p**2 + 12536 with respect to p.\nAnswer: 30702*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1562673388.\nAnswer: 2, 17, 641, 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5832222937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -80 + 80 - 2*z + (2 + 6 - 3)*(-z + 0*z + 0*z) - 2*z + 3*z - 3*z + 3*z - 4*z + 0*z to the form c + j*z and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 10 = -4*p. Let y be (-330)\/18 - p\/(-6). Is 5 a factor of 2\/9 + (-86)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.5 and 38?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, -0.8, 2\/11, -2\/27, 2\/105 in descending order.\nAnswer: 5, 3, 2\/11, 2\/105, -2\/27, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 - 6*o**2 + 4*o**2)*(-3*o + 2*o**3 + 3*o) - o**5 - 4 + 4 + (-2*o**2 + o**2 + 0*o**2)*(4*o**3 + 0*o**3 - 2*o**3).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 1, -20, 2, -44 in descending order.\nAnswer: 2, 1, -2, -5, -20, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 599959721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.36 + 0.96. Let m be (-2)\/(-9) + 8\/126. Put 0.5, b, m in increasing order.\nAnswer: b, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0 = -1, 5*j = -3*u - 32. Let g(t) = 5*t**3 + 4*t**2 + 11*t. Let h(z) = 9*z**3 + 7*z**2 + 21*z. Determine j*g(m) + 4*h(m).\nAnswer: m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9900\/(-40))\/45)\/(108\/378).\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3*m + 21 + 2, -5*m = 4*z + 9. Let d be (0\/z - -1)\/(14\/(-6)). Let v = -2.7 - 0.3. Put d, -1, v in increasing order.\nAnswer: v, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((11360\/(-576) - -20)\/((-5)\/(-3))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -177*z + 89*z + 89*z - 359*z**2 as m + p*z**2 + g*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*s + 32 + 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 315 + 1313 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 250 and 1604.\nAnswer: 200500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 AM and 9:41 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-1*-2*1). Let s be 9*(21\/1134)\/((3 + -4)\/(-2)). Factor -5\/6*x**l + s*x + 2\/3*x**3 + 0 - 1\/6*x**4.\nAnswer: -x*(x - 2)*(x - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17.8 + 17.5. What is the third biggest value in 0.2, 0, 3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 81*z - 687. Let j be m(15). Calculate the highest common divisor of j and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.4 + 1. Let t = -296\/5 + 59. Which is the closest to -8?  (a) v  (b) 0.5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -k - 50, 0 = -5*k + 3*c + 5968 - 5997 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(975)\/sqrt(3))**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of z**5 - 958252*z**3 - 8068420*z**2 wrt z.\nAnswer: 60*z**2 - 5749512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 604610843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6504)\/12195*(-20)\/48?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(2\/5)))\/(m\/m**(4\/3))*m*m**(-2\/11)*m*m**(-4\/7)*m)**(-1\/22) assuming m is positive.\nAnswer: m**(-1721\/12705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**5\/60 - 5*q**4\/12 + 25*q**3\/6 + 16*q**2. Let x be h(8). Solve -2*t - x = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -341324330214 + -4?\nAnswer: -341324330223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -20095 (base 12) in base 8?\nAnswer: -121161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2222*i**3 + 387*i**2 - 3218275*i wrt i?\nAnswer: -13332*i + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5 - 8 + 2*g**2 + g**2 - 2*g**2. What is the tens digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 4\/2 + -3. Let z = -7 - u. Let s(g) = -g**2 - 5*g + 8. Calculate the remainder when 4 is divided by s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, 1, -40 in decreasing order.\nAnswer: 1, -0.07, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 62424 + 14412. Is 30 a factor of (-4)\/(-18) + q\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -16*q + 2. Let x be g(6). Let s = 140 + x. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/5 and 23\/306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffbbwffyweywwf. Give prob of picking 1 f and 3 w.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 22*f + 23*f - 48*f + 9*f**2 - 3. What are the prime factors of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -2629*x**7\/105 - x**6\/120 + 71*x**5\/30 - 31*x**4\/24 - 7484*x**2. What is the third derivative of f(z) wrt z?\nAnswer: -126192*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 3:15 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xsxxsssxxssssxxxxs. What is prob of picking 4 x?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 45 from 0.1.\nAnswer: -44.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nndlllo. Give prob of sequence lnd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 99*w**2 + 112*w + 1064. Determine d(-100).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/2 + 210\/(-20). Let w(f) = 7*f + 34. Let t(u) = 3*u + 17. Let d(j) = v*t(j) + 6*w(j). What is the remainder when d(12) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/827, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*a + a + 105*a + (6 - 4 + 0)*(1 - 1 - 2*a).\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/3  (b) -1\/2  (c) 260  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 40*m**4\/13 - 21817038*m**3\/13 - 66542252*m**2\/13 - 46906890*m\/13 - 2181716\/13 = 0.\nAnswer: -2, -1, -1\/20, 545429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**2 - 674588*h - 674592 = 0 for h.\nAnswer: -1, 168648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Sort 4, 0, -0.19, -5, 41.\nAnswer: -5, -0.19, 0, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 11*h**2 - 11*h - 9. Let a be z(12). Suppose a*f - 96 = 15. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r + 160*r + 242*r - 90*r.\nAnswer: 319*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 46 = 1. What is the remainder when 15 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 76293 = 3*u, -5*o = -u - 10638 - 84709. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.58188 years in centuries?\nAnswer: 0.0758188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -192?\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 650*w = 670*w + 240 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0609973 - 0.061. Round z to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 2*f - 15, 4*i + 6*f - 2*f = 0. Solve i*y = 22 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66876091 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/124384 and 17\/95680?\nAnswer: 1243840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 32*j + 6. Let m be s(6). Let c = m + -130. Suppose -4*u + 32 + c = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 11*g - 1. Let f be p(2). Let d be 1 - (2 + (-15)\/f). Does -1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 5*b + 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q**2 - 5. Let n(f) = -8*f**2 - 14. Suppose -2*a + 0*a = 10. Suppose 2*m - 6*m + 56 = 0. Determine a*n(p) + m*k(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 8*c**2 + 5*c + 21. Let k(a) = 11*a**2 - 137*a + 413. Let r be k(7). Determine h(r).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (4 - 6) + 3 - (-2492512)\/165856?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-175))\/(6\/15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -36, 3, -4\/51, 27, 3\/10, -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 5*s. Let p be z(5). What is the nearest to p in -2\/9, 2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1323 = 5*v + 5*g, 3*g = 6. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11458*c + 11319*c = 12510 for c.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 478*f + 157 + 639*f**2 + 898*f**2 - 157 + 333*f wrt f?\nAnswer: 3074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 279 and 94488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -3*a + 5*v + 350, -a = 2*v - 113. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -54, -72, -98, -132?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-2 + (0 - (-3 - 0)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**3 - 2*a**2 - 4*a - 3. Let u be v(-3). Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -553065 divided by 110613\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 31310 (base 6) to base 15\nAnswer: 13b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -3, 440, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 10*q + 4. Suppose 5*v + 58 - 8 = 0. Let i be r(v). Solve -i = -g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 24940 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.2182 rounded to two decimal places?\nAnswer: 17.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 5)*(-4 + 3 + 2)*(-3*y**4 + 0*y**4 + 4*y**4) - 6*y**4 + 3 - 3.\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*a + 2*i - 26, -5*i + 40 = 5*a. Let z(b) = 2*b + 0*b**2 + 4*b**3 + 123 + 3*b**2 - a*b**3 - 126. Determine z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ikikikikjikj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 20973.\nAnswer: 209730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 6*m**2 - 35*m - 207. Calculate g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/((-4)\/(-3)) + 0. Let v = -7.88 - -8. Let j = v + -0.12. What is the closest to 1 in j, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1084919?\nAnswer: 11, 19, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**3 + 3*w**3 - w**3 + (-2 + 2 + 2*w**2)*(4 + 2*w - 4) + 119 + 103 - 222 - 345*w**2 - 2*w**3.\nAnswer: w**3 - 345*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 2. Let s be ((-24)\/(-9))\/(1\/(-3)). Let q be (-27)\/33 + s\/44. Put q, 0, x in increasing order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/56*4\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5319 divided by 1773.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -36*m**2*z + 3*m*z**2 + 1522*z**2 wrt m.\nAnswer: -72*m*z + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of x**5\/60 - 7*x**4\/24 + x**3\/6 + 2*x**2. Let l(m) = -m**2 + 23*m - 124. Let g be l(10). Give k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.36613 times -269?\nAnswer: 98.48897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 5*n - n**3 + 6 + 0 - 2 - 4*n**2. Let x be i(-5). Suppose 0 = -3*g + x*g + 2500. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2220*(0 - (-502 - -2)). What is i rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2498386411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - -66. Let j = -82.1485 - 0.0515. Let t = j + i. What is t rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.1 + -59.4. Let r = -48.3 - x. Sort r, 0.3, 5, 1 in decreasing order.\nAnswer: 5, 1, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 + 8*l - 3. Let r be q(3). Let j(z) be the first derivative of 1\/18*z**4 + 0*z - 1\/9*z**2 + 0*z**3 + r. Suppose j(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-2 + -1 + (7 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**16)**(-49)*(q\/(q*q*q*q\/(q**(-2\/33)\/q)*q))\/(q*q*q**(-22)*q*q) assuming q is positive.\nAnswer: q**(-25445\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*g + 896 = 1246 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11 - -7) + (6 - 2). Suppose 0*j - 4*j - 16 = p. Put -2, -3, 0, j in increasing order.\nAnswer: j, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -3. What is the third derivative of -12*h**2 + 0*h**6 + h**6 + 10*h**c wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50058*h**5*w - 7*h**3*w**2 + 5*h**2*w - 45*h + 31*w**2 wrt h.\nAnswer: 3003480*h**2*w - 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.75999739 to three decimal places.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 7\/5  (b) -5\/3  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6.97436 and 78.5?\nAnswer: 71.52564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -851 - -809. Let p be (39 + o + -1 + 0)*-1. Solve 4*y = -2*t - 4, y - 8*t - 17 = -p*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/((11 - 9) + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1386180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 7*l**2 - 9*l + 19. Give u(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-280)\/980)\/(2\/98).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 9:22 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*m - 2*h, -3 + 1 = -2*m + 2*h. Suppose m*o + 45 = 7*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1, 12, 23, 32?\n\"Answer: -k**2 + 16*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 12, 1\/4, 4, 0.652?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = t + 25, -2*j - 5*t + 4*t = -10. Suppose 2*c - 3*w = 7*c - 46, -5*c - 2*w + 49 = 0. Solve 2*o - j*b + c = -10*b, -2*b - 16 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*a - 4*w - 6 = 0, 0 = 2*a - 2*w + 6. What is the remainder when 146*(-1)\/a*1 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000012134 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 5145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251784 is divided by 246264.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1450, -2736, -4022, -5308, -6594?\n\"Answer: -1286*w - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 1 = 2*r - 3, 0 = -2*i - 8. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7812, 9961, 6444, -2739, -17588?\nAnswer: -38103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, c: 2, w: 3, i: 3, a: 1, d: 3}. Give prob of sequence ii.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 19280332.\nAnswer: 1\/4820083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-7))\/1)\/(((-3820)\/42)\/191).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-235.2022.\nAnswer: 47.04044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67560 divided by -5630.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 3*c = 6*c - 15, 5*c = 25. Which is bigger: j or -0.057?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31561 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -3, -46, -8 in decreasing order.\nAnswer: 5, 2, -3, -8, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -112 + 112. Let d(g) = g**3 + 2*g**2 - 2*g + 16. What is the lowest common multiple of 10 and d(x)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 11661683?\nAnswer: -5\/11661683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*36345.6\nAnswer: 14538.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*t + 1365 = -231. Put 29, 0, t, -4 in decreasing order.\nAnswer: 29, 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1501991328 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/35061 and -37\/377.\nAnswer: 35061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 7. Let k(t) = -7. Let h(p) = 4*c(p) - 12*k(p). Give h(22).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (19\/(-3))\/(3\/(-9)) - 4. Let y(h) = 10*h**3 - 5*h**2. Let g be y(2). What is the greatest common divisor of p and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 103*z - 4. What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3687, -1354, 2535, 7980, 14981, 23538, 33651?\n\"Answer: 778*i**2 - i - 4464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*r + 0*r = -260, -175 = -4*m + 5*r. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*j + 0*j + 9 = 0, 0 = 2*j - 8. Suppose 3*t + 2*t = g. Let i = t + 3. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -192 + 197 - (0 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*w**3 - 5*w**3 - 8*w**3 - 9*w**3 - 13*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1080, -1156, -1268, -1416, -1600, -1820, -2076?\n\"Answer: -18*k**2 - 22*k - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/450869?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of -a**3\/6 - a**2\/2 - a. Let b be l(-3). Differentiate 2 - 5*g**2 - 4 + 4*g**b with respect to g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (-3)\/(-6)*0. Solve -t*h = -h - 4, 0 = 4*f - h - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 + 18*y + 14. Let k be j(10). What is the third derivative of -109*x**2 - k*x**2 + 9*x**5 - 101*x**2 + 285*x**2 wrt x?\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 139 - 149 - ((-2 - -2) + 0 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*b**3 - 7458 + 4*b**2 + 5*b + 7452 + 3*b**3 in the form n*b + g*b**3 + z + j*b**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/1256064 and -37\/856.\nAnswer: 134398848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2 + 6*y - 4. Let t(g) = g - 1. Let r be ((-1)\/(-3))\/(4\/12). Let m(n) = r*i(n) - 6*t(n). Let f(w) = -w. Give f(m(z)).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (14\/(-8) - -1)*-4*(-22068)\/(-54) is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2481 + 73. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/8 + 377*y\/4 - 3795\/8.\nAnswer: (y - 5)*(y + 759)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*3*3 + sqrt(133))\/((-1*sqrt(1008) + sqrt(1008) + sqrt(1008) - sqrt(7)) + sqrt(7)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69757.\nAnswer: 79, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, s: 10, v: 2}. What is prob of sequence vss?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 44855639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2 + 0*r - r**2 - 3*r + r. Let y(i) = i + 1. Suppose 9*w = 1 + 17. Suppose 2*m - 13 = 3*s, -4*s + w*m - 8 - 6 = 0. What is s*x(u) - 2*y(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 384 - 384.3. Which is the closest to 5?  (a) q  (b) -0.08  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -360656, -353519, -341618, -324947, -303500, -277271, -246254?\nAnswer: -210443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 10*l - 4. Calculate the least common multiple of w(-4) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/39)\/(2\/6 + -1). Which is the third smallest value?  (a) 2  (b) w  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13135 + -9102. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9742290 - -214452723\/22. Let r(x) = -27*x**3 + 7*x**2 + 2*x + 3. Let l be r(6). Let m = l + u. Find the common denominator of m and -83\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4902)\/(-1204) + 1\/(-2). Suppose 35 - 15 = 5*a. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 25 - 35. Calculate the remainder when 43 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0118 - -0.01183596. Round m to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35\/676 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7954 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.45 + -0.511. Let p = v + 101.061. Let j = p - 101.5. Which is the second smallest value?  (a) 0.3  (b) -15  (c) j  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14660 is divided by 14645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 11 - 35)*((-4*k + 3*k - k)*(-4*k**2 + 2*k**2 + 3*k**2) - k**3 + k**3 - 2*k**3).\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 2\/3, 25, 1227, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41222 is divided by 41115?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14244, 28506, 42782, 57078, 71400, 85754, 100146?\nAnswer: 114582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 9*c**2 + c - 6. Let p be j(9). Suppose -y - 2 = -2*l, 4*l + p*y - 7*y - 4 = 0. Suppose 5 = w - 2*n, -n = -l - 3. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 12*l + 11. Let j be a(-9). What is the common denominator of 17\/22 and 46\/(-40) - j\/40?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.91 - 0.09. Let h be 2\/272 - ((-931)\/(-152) - 6). Let l = -0.2 - -0.3. What is the closest to l in h, z, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 437957172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -1466*q**2 + 22*q + 3. Let b(l) = -2931*l**2 + 49*l + 7. Calculate -4*b(h) + 9*t(h).\nAnswer: -1470*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c - 285. Determine d(-42).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 664 and 3.8.\nAnswer: 2523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 PM and 4:35 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2bcc7 (base 15) in base 14?\nAnswer: -396a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495)\/(sqrt(27)\/sqrt(3)) - 2*sqrt(220))\/(1*sqrt(891) + sqrt(891) + sqrt(66)\/(sqrt(6) + sqrt(54))))**2.\nAnswer: 720\/5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -j**4\/4 + j**3\/3 - j**2\/2 - j + 13. Let t(x) = 5*x**3 - 3*x**2 + 3*x + 5. Suppose -12 = -5*s + 3. Determine s*r(a) + t(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**2 + 0*o**2 + 5*o**2)*(-2*o + 0*o + 0*o) + 3*o**3 + o**3 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23274*g + 3564*g - 459*g - 1443347 = -4367852 for g.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/3))**(3\/7)\/((z**(-1\/3)\/z*z)\/z*z**(-1)))**47 assuming z is positive.\nAnswer: z**(2162\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/91 and 39\/1239854.\nAnswer: 16118102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4012018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/2*(-5)\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2234 - 2256. Which is the smallest value?  (a) -1\/8  (b) x  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 528107\nAnswer: -2112428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/(180\/24) - (-3 - 0\/1). Which is bigger: p or 1\/6886?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -238 or -27?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115992.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-2*3\/((-36)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -1\/3*p**3 + 4 + 0*p**2 + 0*p. Let o(y) = 2*y - 6. What is o(k(u))?\nAnswer: -2*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-3))**(1\/11))**(1\/38) assuming z is positive.\nAnswer: z**(-3\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 629*r - 635*r - 30, 567 = 3*r + 46*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 98, 1\/2, 1\/7, 1\/3, -3 in decreasing order.\nAnswer: 98, 1\/2, 1\/3, 1\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 12 = 2*i, j = -6*i + 2*i + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-72) + ((-15)\/30)\/((-4)\/163).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 623 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, m: 2, g: 1, w: 2, z: 1}. Give prob of picking 1 g and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -13 - ((-2072)\/(-1184) + 3 + 1)*-12.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -10*d. Let t(c) = 403*c. Calculate t(o(i)).\nAnswer: -4030*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**2 + c**2 + 6 - 8 + 3*c + 10*c - c**4 in the form x*c**2 + b*c**3 + t*c**4 + v*c + j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from siiceieceaiiiae?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((((s\/((s\/(s**(12\/11)*s))\/s))\/s)\/s)\/s))\/s**(1\/12))\/(s**(-9\/4))**(4\/21) assuming s is positive.\nAnswer: s**(1159\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 940 and 10716?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3 + 3 - 16 - 4 - q**2 to z*q**2 + y*q + d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/4 + (0 - 1). Let c = 20\/117 + 505\/468. Let f = c + z. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -303, -302, -301, -300?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -3*v + 128, -4*f - 164 = 7*v - 11*v. Calculate the remainder when 79 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*o - 93*o + 580 = -31*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -6811  (b) 1\/5  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrllbbbbglr. What is prob of picking 2 l and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*58\/1218*9*4?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 2*c + 5*g + 3, -c - 2*g = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/2720 and -23\/1632?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000654064 rounded to five decimal places?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -305\/54 + 4\/27. Let t = 919 - 924. Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3986363*k**2*r**3 + k**2 - 7015*k*r**3 - 113*k - 1 wrt k?\nAnswer: -7972726*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*l + 7. What is the units digit of (-3 - (-4)\/(-4)) + l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**4\/24 - f**3\/6 + f**2. Let v be p(-5). Suppose -v*g = h + 3, 5*g = -3*h + 2*g. Solve 0*c - c - h = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) -4  (c) 0.4  (d) 466  (e) -3\/2  (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 1 - 3 = 0. Let y = 3 + g. Let f(t) = 1 + 4*t**2 + t**3 + y*t + t + t. Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 20 = -0*u. Let n = 13 - u. Calculate the remainder when 67 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of 39*w**3 - 1197\/2*w**2 - 3\/4*w**4 + 1083*w + 92. Suppose p(l) = 0. Calculate l.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (174*u**2 + 51 + 36 - 85)*(0*u - 4*u + 2*u).\nAnswer: -348*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -136 - 362657990.6.\nAnswer: -362658126.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/(-858) - 34600\/1650?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110111 - -10111?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2975 and 712810?\nAnswer: 3564050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 21 = 8*t. Let m(p) be the third derivative of p**4\/8 + p**3 - p**2. Give m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 111678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14182649.\nAnswer: 13, 83921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swppprsrwwrwrjwpppr. Give prob of picking 1 p, 1 w, and 2 r.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42\/37 + 2806\/3515. Calculate the common denominator of 41\/7 and g.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9074.681mm?\nAnswer: 9074681000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*u - 2*n, -3*n - 2*n = -2*u + 10. Put 42, -5, u, 3 in ascending order.\nAnswer: -5, 3, u, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -6*(((sqrt(2057) + -3 - sqrt(2057)) + sqrt(2057))**2 - sqrt(2057)))*-3.\nAnswer: -1386*sqrt(17) + 37191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2*-1)\/(-2) - -5. Suppose -3*k - 5*u + 32 = -7*u, 3*u - 37 = -4*k. Suppose -9*w + k*w = 2. Sort -5, w, s in decreasing order.\nAnswer: s, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -133.05 + 1.05. Let o = q - -132.7. Let t be -1*2\/(-16)*-6. Is t at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1872694 and 6316?\nAnswer: 3158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*z + 53*z - 99*z.\nAnswer: 121*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 24*s**2 + 34*s + 21. Let z be k(20). Let w = -621 - z. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -117*f**2 - 10*f**3 + 15*f**2 - 49*f - 1 + 2*f**3 - 3 - 221*f wrt f.\nAnswer: -48*f - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1902332?\nAnswer: 2, 475583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 571147 * -0.37.\nAnswer: -211324.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 85 = -5. What is the lowest common multiple of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 + 4. Let v(f) = -f**3 - 9*f**2 + 17. Let i = 1277 - 1268. Determine i*h(a) - 2*v(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**4\/6 - r**3 - 2*r**2 - 6*r. Suppose p(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12\/61 - -475\/244. Let t = 2.4755 + -7.4755. Which is the closest to -1?  (a) -0.4  (b) t  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*10*1\/2*(-23)\/46?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (441 - 441 + 39*v)*(-4 + 4 + 1) in the form f + y*v and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 377.351 decades to years.\nAnswer: 3773.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5c9 (base 13) to base 5.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - 5*h + 3 + 9, 5*w + 15 = -3*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183 and 511729.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 402d?\nAnswer: 402e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.233  (b) -11291  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.9112 and -158.98.\nAnswer: 780.782576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 10. Let t be 104\/(-13)*(-3)\/v + -2. Factor 0*w + 3\/2*w**2 - 3*w**3 + 0 + 3\/2*w**t.\nAnswer: 3*w**2*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from {n: 3, a: 5, x: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*v**2 - 98*v + 98*v - 3*v**3 + 78*v**2.\nAnswer: -3*v**3 + 109*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109215 is divided by 18032.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnlltnnngnglnntn. Give prob of sequence tlnn.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 17393 divided by -1096\nAnswer: -17393\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -294*x**3 - 1792*x**2 + 12640*x\/3 - 6400\/3 = 0.\nAnswer: -8, 20\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1005 divided by -1100.\nAnswer: -201\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 724a7 + -3?\nAnswer: 724a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-7))\/(29*66\/(-22011))*14\/2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 884 and 5564?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f**2 + 16*f**2 - 3*f**2 + 98 - 6*f**2 to the form v*f + a + y*f**2 and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237*b**2 - 24*b - 38*b - 242*b**2.\nAnswer: -5*b**2 - 62*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -4\/1769061991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 0 + (-15 - -11) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14, 46, 62, 56, 22, -46?\n\"Answer: -t**3 - 2*t**2 + 45*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 2567*h**5\/20 - 682*h**2 + 26*h - 31. What is the derivative of w(k) wrt k?\nAnswer: 7701*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 21*i - 140 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b + 1. Let a be ((-8)\/(-10))\/(3\/45). Let x be a\/20 - 44\/(-10). Calculate d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 7:29 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**2 + 2029*t + 118104. Determine h(-62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-4\/5)*g**(-30))\/((g**(-24)\/g)\/g*g**(-1\/7)) assuming g is positive.\nAnswer: g**(-163\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-12)*c)\/c**(-2\/9) assuming c is positive.\nAnswer: c**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2386297, -2386296, -2386295, -2386294, -2386293, -2386292?\n\"Answer: m - 2386298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 3*q + 4. Let r be 22 + -2*1 + 14 + -15. Suppose 6*c - 3*n = c + r, -4*c - 2*n + 24 = 0. Determine b(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.073 + -296311.\nAnswer: -296310.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -715*p = -589*p + 1512 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -562 or -642?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1075 + 1124 - 3*i + 1169 - 4414 + 1128.\nAnswer: -3*i + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1706066?\nAnswer: 2, 853033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**6 - 194*r**4 + 58218*r**3 - 14904650*r**2.\nAnswer: 120*r**3 - 4656*r + 349308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50502 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2084739 divided by -159.\nAnswer: -694913\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 668159*m - 668159*m + 1 + 359*m**2 in the form a + h*m**2 + d*m and give h.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10209, 10424, 10641, 10860, 11081, 11304, 11529?\nAnswer: 11756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 1. Let f = -11 + 12. Let h(r) be the second derivative of r**4\/3 - r**3\/6 - r**2\/2 - 3*r. Give f*h(a) - 3*w(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 198162983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*x + 526 = 3256 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**3 + 0*i**3 - i**3)*(-2 - 1 + 2)*(1 - 3 + 3)*(0 - 1 + 2)*(6 + 29 - 3) as c + j*i**3 + v*i + r*i**2 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4*c = 7360, 2*y = -2*y + c + 14741. What are the prime factors of y?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 2\/9  (b) -1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b + 2*b - 2*b)*(8*b**2 - 25 - 5*b**2 - b**2) in the form k*b**3 + g*b + a + t*b**2 and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -44723.\nAnswer: -5\/44723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7546 = 318227*k - 318150*k for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 53 + -16. Suppose 2*u - 2*z + 2 = 0, 5*z - q = -3*u - 0*z. Suppose -u*r = -6*r + 26. Calculate the remainder when 38 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 4*b = -4*z + 92, 93 = 4*z - 3*b. Suppose 37*k - 29*k = z. Solve -4*l = -r - 3, 5*l - k = 4*l - 2*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 1236 = 14*p. Let n = p + -200. What is the greatest common factor of 21 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3878319.\nAnswer: 3, 61, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - -4. Let l(h) = -h - 5. Calculate the least common multiple of l(-7) and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2827 + 58485?\nAnswer: 61312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49527*-2.\nAnswer: 99054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/4)\/(-10*8\/(-16)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 14*k**3 - 4*k**2 + 32*k + 86. What is v(-3)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -393.1 - -394.1026. Let n = s - 1. Round n to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*19\/(-190)*(-1482)\/26.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 756712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - -101. Suppose -5*p + 2*f = -200, -5*f = -p + 35 + 28. What is the remainder when k is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 PM and 5:20 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-14)*1407\/804*2)\/(2\/32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -143 + 182 - 96 - 64*k with respect to k.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*i**5 + 3*i**3 + 21969*i**2 - 2391366*i.\nAnswer: 140*i**3 + 18*i + 43938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.7313 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/56 and -89\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssparisisia. What is prob of sequence sp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -2\/5  (c) 2\/19  (d) -9910\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 576 and 606990744?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -46760610 + -87.8176\nAnswer: -46760697.8176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 11*z + 4. Let a be v(11). Suppose 0 = 5*o - a*o - 11. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 78134?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15460.7 * -450.3.\nAnswer: 6961953.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -57, -54, -29, 18, 87, 178?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74 + 76. Suppose -2*w = -2*f - 18, -2*f - 16 = 2*f. Suppose -w*u - d*i = -u - 20, -31 = -5*u - 4*i. Solve -2*g + 16 = -2*j, u*g + 0 = j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -9272 + 27820\/3. Suppose -x - 20 = -6*x. What is the smallest value in x, q, 0.07, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -9*b + 78. Does 17 divide w(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 1 + 2*k - 3*k)*(-2*k + 4*k + 6*k).\nAnswer: -24*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 6 = y. Suppose 5*u + y = 14. Suppose -47 = -2*s - u*m + 299, -4*m + 346 = 2*s. List the prime factors of s.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 76, 81, 90, 103, 120?\n\"Answer: 2*p**2 - p + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5699 + 6269. What is the smallest common multiple of b and 105?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32331 (base 5) in base 13?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136048 and 1272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 25*d**2 - 146*d - 127. Let o be p(13). Solve 2\/5*b**2 + 2\/5*b**o - 2\/5*b**5 - 2\/5*b**4 + 0 + 0*b = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -196231*u**3 - 2398034.\nAnswer: -588693*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -256351 + 2?\nAnswer: -256346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + 15\/2 + (-30)\/60. Suppose p = 5*y + z - 10, -2*y - 4*z = -10. Solve -2*k + 0*k - y*x = -5, 3*k + 1 = 4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -3*b + 54. Let v be 362\/20 + (-39)\/390. Let m be t(v). Solve 0*g - g - 4*d = -7, 2*g + d + 7 = m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*x + 2*x. Suppose -z + 5*d = 5, -d = x*z + 3*d - 23. Solve 3*a + 2*i = -25, 0*a - z*a = 5*i + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from {k: 3, f: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 10010 (base 2) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 17. Let h be j(3). Suppose -28*f + 10 = -h*f. Sort 40\/9, -1, f in decreasing order.\nAnswer: 40\/9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 46425200 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (10632 - 36)\/(3\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/5))**(-16)*p**0\/(p**(-1\/3)\/p) assuming p is positive.\nAnswer: p**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27.1 - -24. Let i = p + 3. Let n = 0.098 + i. Round n to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 229 + (1 - 2). Suppose -4*o - 180 = f. Let b = o - -149. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7}. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0332 - 0.10034. What is h rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -375, -753, -1131, -1509, -1887?\n\"Answer: -378*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51177.7 + -51179. Let t = 0 - -0.1. Which is the third smallest value?  (a) w  (b) t  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26724 * 0.3.\nAnswer: -8017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8 - 82)\/(-9))\/2. Suppose -2*l + 27673 = 3*m, 2*l + 27500 = u*m - 18643. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 1044 = 5*s + u, -4*s + 5*u = -850. 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 2 + (2 - 4) + 14 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**5\/2 - 216*u**4 + 7809*u**3 + 9756*u**2 - 1666725*u\/2 - 2359188 = 0.\nAnswer: -8, -3, 13, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 l when three letters picked without replacement from nxqqccqxlcnqqnzcznq.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.001 + -0.599. Let p = 3 - 3. Is b >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*o, -38 = -5*t - 4*o + 7. Let c be (t - 3)*(-1 + (-15)\/(-2)). Let i(a) = -21 + c + 5*a + 7. Calculate i(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -2*n**3 - 15\/2*n**2 + 21*n - 16. Factor y(i).\nAnswer: -3*(i - 1)*(2*i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 133843007 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*x**2 + 18*x**2 - 49*x**3 + 8*x**2.\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 89624081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -102, -211, -354, -525, -718?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 48*q**3 + 7*q**3 + 129*q**2 + 7*q**3 + 68*q**2.\nAnswer: 62*q**3 + 197*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7908129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3631 + 2114 = 383*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68944 and 247362454.\nAnswer: 8618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9361*z**2 - 8761*z**2 + 18125*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3307 is divided by 3298.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 32, 4, -46, -124, -236, -388, -586?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 152653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnvv when four letters picked without replacement from vnvvn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 347, 348, 349, 350, 351?\n\"Answer: r + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i - 2. Let u be g(2). Suppose -2*r - 3*n - 61 = 0, 0*r - 4*r = -n + 101. Does 6 divide (r\/6)\/(2\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k. Let l be (8\/(-10))\/(15\/(-75)). Suppose -3*f + l*p + 8 = 0, 2 + 4 = -3*f - 3*p. Let n be r(f). Sort -3, -5, n in descending order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4581*m**3 + 4566*m**3 - 13742*m**3 + 4597*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -6*t**2 - 7*t + 40. Let n(c) = 7*c**2 + 8*c - 41. Determine 5*n(v) + 6*z(v).\nAnswer: -v**2 - 2*v + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10676 - -10676. Put -15, q, -10 in descending order.\nAnswer: q, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/5)*m*m**7)\/(m**(-1))**25 assuming m is positive.\nAnswer: m**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -22*v**2 + 47*v - 26. Let a(r) = -8*r**2 + 16*r - 9. Give 8*a(t) - 3*k(t).\nAnswer: 2*t**2 - 13*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8194.88212079 and 0.2.\nAnswer: -8194.68212079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(-7) + (-648)\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1972 plus 461250.1?\nAnswer: 461249.9028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + v**2 + 671. Let r(k) = k**3 - k**2 + k - 1. Let g be r(1). Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 14*c**3\/3 + 9*c**2 - 11*c - 1. Suppose -91 - 74 = -11*f. Is l(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -22 + 205?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 6*i + 28. Let d be m(-9). Suppose 5*p - a = d, 5*a = -0*p - 4*p - 5. Suppose 5*k - 9*k + 104 = p. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - 2*o**2 + 2*o - 1. Let j be y(-2). Let s(a) = -a**3 - 7*a**2 + 19*a + 13. Let c be s(-9). Put c, j, 0 in decreasing order.\nAnswer: c, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255141.\nAnswer: 3, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 46736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/5, 4\/19, -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 177, 133, 51, -75, -251, -483, -777, -1139?\nAnswer: -1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + ((-60)\/(-75) - (-44)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 2 = -5*n + 3*a, 3*a + 4 = -4*n. Suppose q + 4*t - 11 = 0, n*t + 2 = q + q. Suppose 11 = 2*m + q. Calculate the highest common factor of m and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - -3612028246\nAnswer: 3612028238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -694 + 722. Suppose 2*o + 5*c + 0 - 8 = 0, -2*o = -c - 8. What is the highest common factor of p and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (338 + (-2 + 2 - -4))*25\/10 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -180, -4, -1\/6, 1\/106, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + c - 2, 8*c = 2*o + 3*c + 10. Sort 4, o, -15, -1 in descending order.\nAnswer: 4, o, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4*(-448)\/(-84)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -514, 4 in decreasing order.\nAnswer: 4, -5, -514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.01 and -26.575.\nAnswer: -26.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or -7712?\nAnswer: -7712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 3*d. Let j(g) = 6*g + 30. Does 2 divide j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.033 take away 1.7?\nAnswer: -1.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4 = -2*p. Solve 1 = p*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.38 - 0.58. Which is smaller: g or -20.9?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*t + 4*t + t**3)*(-t + 0*t + 2*t) + t**4 + 0*t**4 - 3*t**4 + 0*t**4 - 3*t**4 + t**4 to the form k*t**3 + q*t**2 + s*t + z*t**4 + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -68.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*p**4 - 14113*p**3 + 2*p + 7120 wrt p?\nAnswer: -24*p**2 - 84678*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27 in 4, 2, -10, -3\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 20224827.\nAnswer: 20224831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -7\/2*s**2 - 1\/10*s**5 + 0*s**4 - 37\/30*s**6 + 11 + 1\/3*s**3 + s. What is the second derivative of d(j) wrt j?\nAnswer: -444*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*w = 86, 4*v = w - 6*w - 49. Let m = -21 - v. List the prime factors of ((-6)\/m)\/(6\/220).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 11*l**6 - l**5\/60 - l**4\/8 + l**3\/2 + 4*l**2. Let v be (8 - (-234)\/(-30))*(-10)\/(-2). Is i(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 72 = -3*v, 3*v - 2*f = 7*v - 92. What is the lowest common multiple of v and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9 + (-38)\/4)\/(0 + 2\/5492). Which is greater: c or -8239\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -6*b**5\/5 + b**3\/3 + 217*b**2\/2 - 3*b + 7. What is the second derivative of u(m) wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8147 is divided by 5912.\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 218, 1625, 5442, 12875, 25130, 43413, 68930, 102887?\nAnswer: 146490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + d - 3*d)*(0*d**2 + 0*d**2 - d**4) + (3*d**4 + d**4 + 4*d**4)*(-d + 4*d + 0*d).\nAnswer: 25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/286416 and -57\/680?\nAnswer: 1432080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-6) - 3\/270*1505*3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -153*u**2. Let f(r) = -272*r**2. Determine j(f(k)).\nAnswer: -11319552*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2120\/74971?\nAnswer: -2120\/74971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1.1. Suppose c = -0*c - 18. Let w be (6\/(-21))\/(c\/(-14)). What is the second smallest value in z, -2\/11, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -170 - -181. Let z(d) = d**3 - 6*d**2 + 13*d - 20. What is the tens digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-24))\/((((-70)\/(-48))\/(-35))\/(378\/(-6552)))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*h + 488 = 20*h. Calculate the greatest common divisor of h and 529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 10. Suppose g*r - 184 = -32. Suppose 480 = b + 404. What is the greatest common divisor of b and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/8, -4.7, -0.5, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5190883839 to the power of 1\/2, to the nearest integer?\nAnswer: 72048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32907349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 8177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4446 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 5:11 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 5*w - 15. Suppose w*u = 4*c - 3, u + 2 = -u + c. Let b = u - -4. Solve 4*q - 3*q - b = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*z**2 - 7*z**2 + 3*z**3)*(-25 + 185*z - 40 + 64 + 168*z) to the form t*z**4 + y*z + u*z**3 + k*z**2 + p and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -45 - ((12 - (2 - (19 - 9))) + -8)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.08 in 32, -316, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 5231765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - (-5 - -2) - 1. Let d be 4*1\/p - 1712. Let h = -6917\/4 - d. Calculate the common denominator of h and 24\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 p when three letters picked without replacement from {l: 5, w: 1, p: 4, k: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 385, 731, 1077, 1423, 1769, 2115?\n\"Answer: 346*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 327500.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23141?\nAnswer: 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 2 = -2*i - 19, 3*s - i = 19 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33264987, 33264993, 33265003, 33265017?\nAnswer: 33265035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 587144 > 587144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + p + 93 = 3*m, 5*p = -5*m + 120. Let q be (-2)\/8*36\/m. Let l = -1.46 - -2.46. What is the nearest to l in 0, 4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122010000 (base 3) in base 15?\nAnswer: -3a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l - 3 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64\/(-30))\/(((-8678)\/13017)\/(((-10)\/3)\/(-2))).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110110011110111001 (base 2) in base 10?\nAnswer: -485305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 12) to base 6\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**5\/5 - 42*b**4\/5 - 351*b**3\/5 + 284*b**2\/5 + 5148*b\/5 + 7056\/5 = 0?\nAnswer: -6, -3, -2, 4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -7. Let l be v\/(10\/(-4) + 1). What is the second derivative of 5*s + l + 3*s**2 - 5 + 3 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i + 5*q - 5, 45*q + 4 = -4*i + 41*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 747 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 20. Suppose -i*r + 7 = -1. Suppose g + 35 = r*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**3)\/v**(-1\/10))\/((v\/((v*v**(-1\/2))\/v))\/(v\/((v**(-1\/4)\/v)\/v)))*(v**(2\/5))**(-3\/35)*v**(-5)\/v*v*v**4\/v assuming v is positive.\nAnswer: v**(2671\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3*o = -150, 3*o + 201 = 5*p - 0*p. Let d be 821\/3 + (-12)\/18. Calculate the highest common divisor of d and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55 by 1967.\nAnswer: 55\/1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 4*a - 1. Let d = -9 + 8. Let l be c(d). Suppose -5*n - 10 = 0, l*n = -3*t + 5*n + 222. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 5:57 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9b + -1c362?\nAnswer: -1c430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 503 greater than 569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 261 divide 10236895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (219 - 103 - 96).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 866406 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 52*i**2 + 1 - 1.\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3377, 3154, 2569, 1442, -407, -3158, -6991, -12086?\nAnswer: -18623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -120120210101 (base 3) to base 4\nAnswer: -1022321011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 114218\/(-200200) + (-1)\/((-21)\/12). Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -14*g. Let m = -74 + 57. Let t(a) = 5*a. Let c(h) = m*t(h) - 6*j(h). Let i(f) = 8*f. Determine i(c(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 6*c + 4. Let v be m(-5). Solve -2*i + 5*i - v = 0, 0 = 3*w + 3*i - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*s**3*y**2 + 359*s**3*y - 4*s**3 + 8*s**2*y**2 - 2*s**2*y + 98*s**2 - 50*s wrt s.\nAnswer: -54*y**2 + 2154*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -124 - -128. Solve 4 - 28 = -4*o - q*f, 29 = 5*o + 4*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 6*t + 11*t + 11 = 0, 4*d - 8 = -4*t. Solve -2*x + 4 = d*p, -4*p - 2 = -0*p - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005324783577 to 5 decimal places.\nAnswer: 0.00532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4 = -2*h. Suppose -2*y = -0*y - 4. Calculate the highest common divisor of y and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141142.\nAnswer: 2, 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1. Let k(n) = n + 7. Let h(i) = -4*c(i) + k(i). Let v be h(19). Solve -15 = -2*f + 3*j - 2*j, 4*j + v = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 105 - 185. Suppose -d - 4 = -2*y. Let i = y + -21. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.7 + -10.7. Let b = 0.8 + -0.6. What is the nearest to b in 4, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = 480 - 1229. Let s = -119 + 120. Let g(f) = 19*f - 9. What is the remainder when a is divided by g(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67, -4, 3, -2 in descending order.\nAnswer: 67, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -31. Let g = -10 - -25. Let m(d) = 2*d + 49. Calculate the remainder when m(g) is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3016 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6126 - -140912\/23. Let z = -1299\/935 + -2\/187. Calculate the common denominator of z and u.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y - 15. Let z be j(10). Suppose -4*q + 2 = -5*o - 3, -5 = z*o. Let l = 0 + q. Solve 5*t - 5 = -l*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 - 21*f - f**2 + 24*f)*(-2*f + 0*f + 5*f + (f - 2 + 2)*(2 + 3 - 4)).\nAnswer: -12*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-1)\/(-10) + (-183)\/(-255)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**3\/13 - 2908*s**2\/13 + 43198*s\/13 - 40292\/13 = 0 for s.\nAnswer: 1, 14, 1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 4*r**5\/5 - 18*r**4 + 68*r**3\/3 - 3071. Factor b(q).\nAnswer: 4*q**2*(q - 17)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18.263 - 0.063. Let q = a + -20. Let b = 0.2 - q. Is -2\/7 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from {w: 3, l: 4, c: 5, f: 3, u: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 182 or 178?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from qqilqqqqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {v: 1, a: 1, p: 2, z: 1, t: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.1 + -0.1. Let r = -852\/2005 + 10\/401. What is the nearest to -1\/3 in r, 0.1, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13990\/77 - 1240\/7. Find the common denominator of -71\/10 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707749122 to the power of 1\/3, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6655736921 to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2)*(397 + 311 - 254)*(-s + 4*s - s).\nAnswer: -1816*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(891) - (3 + (sqrt(891) - (sqrt(891)*-1)**2) + sqrt(891))) + 3 + sqrt(704))*6.\nAnswer: -6*sqrt(11) + 5351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = -529*u + 519*u. Solve -8*b + b = -u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 201 - -4?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 - 20*j - 15. Let v be q(-14). Suppose -x + v = 2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92)\/2760*(-4)\/((4\/10)\/((-139)\/695)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18, -16, -6, 12, 38?\n\"Answer: 4*c**2 - 10*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9*c**2 + 18*c - 15. Suppose -13*s = -64 - 79. What is the thousands digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1023215 is divided by 3779.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 19. What is the second smallest value in s, 0.4, -2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/10*2)\/((-3)\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 4.2. Let q = -0.25 - -0.3. Let r = 1.95 + q. Which is the nearest to d?  (a) r  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 - 13*h**2 - 5*h - 10. Let g be l(11). Suppose -5*r - 6 = -2*r, -5*z + g = 3*r. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*r*z**2 - 243*r*z - 4*r + 13*z**2 wrt z.\nAnswer: -28*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1003676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8390 - -8870. What is the remainder when u is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b - 3. Let y be w(-1). Let v(h) = 0 + 1 - 3 - h - y. Let g be -1 + (-2 - 1)*1. Give v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + o + 46 = 4*a, o = -4*a + 35. Let q = 29 - 12. Let z = q - 12. Solve z*l + a = 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5238939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkaa when four letters picked without replacement from {i: 2, a: 2, k: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x + 0*x + x**3 - 6*x**3 to the form z*x + b + j*x**2 + f*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*n + 6. Let q be 1*(n + 1 + 0). Put q, 3, 5, -1 in ascending order.\nAnswer: -1, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 - 62 - (0 + -15) - (-5 - -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -4617*a + 37101. Calculate q(8).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a**2 + 36927*a*t**3 - 225*a*t + a + 47*t**3 + 3551675*t**2 with respect to a.\nAnswer: 4*a + 36927*t**3 - 225*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 19 = -11. Solve -4 = -z*y - 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -p + 2. Suppose -5*g + 70 - 10 = -5*u, 62 = 4*g + 3*u. Let s = g + p. Solve -3*f + 5*w = -8*f - 25, -3*w - s = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9043 - -334619\/37. Let w = -92239\/10 + 9214. What is the common denominator of j and w?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19164553 is divided by 6084.\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-201)\/6)\/((-4)\/8). Suppose -8*x - 229 = z. Let b = x + 40. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 18. Calculate the highest common factor of 18 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -25*h**2 + 10*h - 16. Let u(s) = -23*s**2 + 7*s - 20. What is -3*i(r) + 2*u(r)?\nAnswer: 29*r**2 - 16*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*j**2*y**3 + 31*j**2 - 7612*j*y**3 - 2*y + 463 wrt y.\nAnswer: -42*j**2*y - 45672*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 5*h + 2 - 37, 12 = 4*h. Suppose -x + t + 0 = 0. Solve p + 16 = x*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 19*h**2 + 32*h + 23. Is w(-14) a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 y, and 1 u when three letters picked without replacement from {y: 2, a: 3, k: 1, x: 1, c: 3, u: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -374*y**2 - 36*y**2 - y**3 + 381*y**2 + 64*y + 37. Calculate t(-31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {d: 10, r: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2\/27))\/(j*j\/j**4*j*j) assuming j is positive.\nAnswer: j**(29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1076404705*o**3 + 19*o + 465558 wrt o?\nAnswer: 6458428230*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 26, 10, 1\/3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/36 and 29\/3663?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + 4*v**2 + 2*v**2)*(0*v**2 + 6*v**2 - 4*v**2) + (v**3 - v**3 + v**3)*(-2*v - 3 + 3).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -21065.67746 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1215884 divided by 607942.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1013*c - 8424 = 365*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*m**6 - 59301*m**5 - 9*m**3 + 33702051*m**2.\nAnswer: -1560*m**3 - 3558060*m**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 + -97. Let k = 61 + z. Solve -2*s = 0, k*h + 2*s + 2*s = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1383, 2764, 4145, 5526, 6907, 8288?\n\"Answer: 1381*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -1 - 4*k - k - 5*k. Calculate the remainder when w(-4) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/((-1404)\/72)*(-3)\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5927, -6, -5, -2 in decreasing order.\nAnswer: 3, -2, -5, -6, -5927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x + 2 - 2 + (-1 + 3 + 0)*(-2 + 2 - x) + 2*x + 0*x - x + (51*x + 75*x + 201*x)*(0 + 2 + 1).\nAnswer: 984*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -7. Let j be 34 - (3\/y)\/((-15)\/(-10)). Is 29205\/j + (-1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/2, 2\/11, 0.4, -2\/11, -5, 10074?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*y, 5*k - 2*y - 45 = 2*y. Solve 0*m - m = k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7*735577.\nAnswer: -514903.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -50401 >= -6501836\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) 8  (b) 0.4  (c) 0  (d) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7514 = 419*d + 23*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1042 minus -6420736677?\nAnswer: 6420737719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31381353 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = w + 11, 0 = 3*b - 6*w + 2*w. What is the closest to -0.3 in -0.5, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33\/2 - -95\/6. Let v = -196 - -204. What is the nearest to -0.1 in -1\/4, d, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a + 0*a - 2*a)*(-14 + 8 + 13)*(-5 - 19 - 6) as j*a + g and give j.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 332754486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3324 divide 6906331090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12, 0.7, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -10. Suppose f*q - 5*q = -24. Solve 0 = -2*y + y + 2*t - q, 3*t = 4*y + 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((-27)\/(-36) + (-26)\/40). Calculate the highest common factor of 56 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3 = 5. Suppose 4*p - o = -14. Are p and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18515040 by -578595.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 2*f**2 - 3*f + 2. Let x be y(0). Suppose x*d = p + 143, -2*d + p - 217 = -5*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 179*a**2 + 3996*a - 3194. What is p(199)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 941 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -1813.\nAnswer: -1813, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507291 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6448*n + 63764. Give k(10).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6146321383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157881?\nAnswer: 3, 52627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -35514 - 0?\nAnswer: -35514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 9 = 5*b - 3*o, 4*b = -2*o + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 89 + -102 - (14 - 13 - (0 - -1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r + 36*r**2 + 3*r - 81*r**2 - 2*r to j + k*r + y*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.3  (c) 10429\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3*i*i)\/i*(i*(i\/(i**(-2)\/i*i*i)*i)\/i)\/i*(i\/(i\/i**0)*i)**(-1\/2) assuming i is positive.\nAnswer: i**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38948 - 2*l**2 + 38948.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222 and 48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 491*g - 491*g - 1 - 3*g**2 as c + b*g + o*g**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23733947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181471, -362937, -544403, -725869?\nAnswer: -907335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104093 (base 13) to base 3.\nAnswer: 201022112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58965983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 4*z + 2*o, -3*z + 40 = -4*o - 0*o. Let v = -4 + z. What is the second derivative of -2*j**5 - 30*j + v*j + 15*j**5 wrt j?\nAnswer: 260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2))**(-11\/4)\/(v\/((v*v**(-7)\/v)\/v*v)*v*v\/v**7*v) assuming v is positive.\nAnswer: v**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -219, -12, -4, 5 in decreasing order.\nAnswer: 5, -1, -4, -12, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -7. Sort 0, q, -10 in descending order.\nAnswer: 0, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 4, -u - s - s = 50992. Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*5*(-6*(2 + sqrt(1700) + sqrt(1700) - sqrt(1700)))**2.\nAnswer: -613440 - 14400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n - 15. Let p be s(4). Which is the nearest to 1?  (a) 1\/5  (b) p  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 11:23 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 70\/15*(-1 + 10). Let j = -66 - -105. Let f = d - j. Sort 0, f, 4, 1.\nAnswer: 0, 1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 383852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7797549 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1702\/(-8))\/(-5 - 472\/(-96)). Suppose -2*j + v = -l, j - 2*l = 2*j - 1284. Suppose 7*x - 591 = j. What is x rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {x: 2, v: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 1)*(-1)\/2. List the prime factors of m - 3\/(3\/(-14)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1291599766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/9))**(-2\/43)\/(m**5\/m*m**(-4\/3)))\/((m*m**(1\/3)*m)**(2\/9))**(-49) assuming m is positive.\nAnswer: m**(26414\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -260  (c) -2  (d) 1\/2  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -512029651828 from 3.6.\nAnswer: 512029651831.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 9*k**2 + 6*k**2 - 9*k**2 + 31*k.\nAnswer: 6*k**2 + 31*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k - 1. Let x = 68 + -63. Suppose -21 + x = -4*b. Calculate i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525295.\nAnswer: 5, 31, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 7755554.6 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that u**3 - 159*u**2 - 1674*u - 2704 = 0.\nAnswer: -8, -2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 2  (c) 3  (d) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 966 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/532)\/((-48)\/49728)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 232, 470, 708, 946, 1184?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 12, n: 1}. What is prob of picking 3 m?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1427003 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3267 divided by 27\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3092*o**3 + 1015*o**3 + 1008*o**3 + 1028*o**3.\nAnswer: -41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962 is divided by 937.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1644*o**3*x - 257444*o**3 - 276*o**2*x - 6*o wrt x.\nAnswer: 1644*o**3 - 276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 372996041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 equal to 8878.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163901 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-90)*(-3)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -424587291 divided by -141529097\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 215424 and 40392.\nAnswer: 646272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -g**3\/18 + 11*g**2\/12 - 5*g\/3 + 38. Let p(c) = 0. What is c?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4 + 13 = 0. Suppose 10 = 6*n - n + u*k, -4*n + 15 = k. Let q be 22*(n + -4) + 4. Solve 4*t = q - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o*p*x**3 + 2*o*p + o*x + 76*o - 3802*p*x**3 + 9150*p - 73*x**3 wrt x?\nAnswer: -12*o*p*x - 22812*p*x - 438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/117*(-1299)\/15155?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = -38*z - 9*z - 494 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*j + 1130 + 133 + 60 = 0 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1152.294 years?\nAnswer: 13827.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -40. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 8 - 5 - 9 + h + 2 - h**3 + 3*h**2 + 5. Let i be (2 - 4)\/((-2)\/3). What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005196905 rounded to six decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1328 and 3071?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - d**3 - d**4 + 3*d**2 + 0*d**2 - d**2 + 0*d**2 to s*d + q*d**4 + r*d**2 + b + z*d**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/6)\/(2\/(-24)). Let c = 3 + g. What is the lowest common multiple of 6 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -325442207 divided by 2\nAnswer: -325442207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -51.2538 less than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (960\/(-768))\/((-15)\/72)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3884332824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32\/(-144)*3)\/((-63)\/((-49329)\/(-6))).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d3 + 18c?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1007900 to the nearest ten thousand.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*k**6 + 8*k**6 + 4*k**2 + 13*k**6 wrt k.\nAnswer: 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -117231012 - 4?\nAnswer: -117231016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 6:10 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0064449509 rounded to 4 dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -971, -3240, -5511, -7784, -10059, -12336?\nAnswer: -14615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 - 394140*i + 80487792.\nAnswer: -2*(i - 204)*(i + 197274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -12*s + 1\/3*s**3 - 3 + 1\/2*s**2. Let z = 1 - 1. Calculate t(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -0.0298476.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - -5. Suppose -o = 3*r + 4*f, -r - f = r + 8. Sort r, -5, 1 in decreasing order.\nAnswer: 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -3*w**2 + 2. Suppose 2*i + 1 = 3*i. Let j be i\/(-2) + 9\/(-6). Calculate h(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23582651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/2*(6 - 6). Is 14 a factor of -5 - -228 - (5 + (-2 - r))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-776)\/97 - 1\/2*4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 19*p - 11. Let f be k(9). Let x be -1 - (f\/(-5))\/(1\/(-5)). Are x and -1\/60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1051858481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 + 27. Suppose v - n*h = 281, 2*v - 5*h - 361 = 191. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*f + x + 20, -4*f - 2*x = 6. Let m(c) = -c - 1. Let r(v) = -62*v - 9. Let u(h) = f*m(h) + r(h). Does 29 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -4*x + 99397, 5*x - 51*m + 46*m = 124325. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - 12\/(-9)) + (-1401)\/(-9). Let i(q) = t*q + 160*q + 8 - 333*q. What is the units digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/6)\/r*r)\/(r**14*r*r) assuming r is positive.\nAnswer: r**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 6*j - 14. Suppose -21 = -3*q + 15. Let x be m(q). Let k = x - 29. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/18 and -73\/577846.\nAnswer: 5200614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8897\/5 + 1779. Which is bigger: g or -137?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -30*(84\/(-15))\/1. Let j(v) = 4*v**3 + 2*v**2 + 2*v + 3. Let c be j(-2). Let l = c + 46. What is the highest common factor of y and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + q + 0*q. Let z(v) be the first derivative of -1 + 0*v**2 + 1\/3*v**3 + 0*v. What is z(t(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15948?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 750977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/52)\/((-60)\/480). Which is the third biggest value?  (a) 1\/6  (b) q  (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -117811*s. Let o(q) = -q**2 - 204*q. Give h(o(r)).\nAnswer: 117811*r**2 + 24033444*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.4 + -1.4. Suppose -m - 3 + 4 = 0. Let y = -0.62 + 0.02. What is the closest to 0.1 in t, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 547 divide 383995641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 268\/7 - 38. Let a be (-4)\/40*6 - (-95)\/75. Put a, r, -6, -5 in decreasing order.\nAnswer: a, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-8)*12\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (4 - 23) + -2 + -4 - 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 51467183 a multiple of 2060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15355 = l + 2*f, 5*l - 12*f - 54978 = 21643. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1373321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 7235885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (529\/(-276) - -12) + -10.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-270)\/972)\/((-20)\/(-24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 2. Let p(t) = -t + 3. Let a(y) = -4*g(y) + 5*p(y). Let s = -18 - -12. Let h(i) = -1. Let u = -11 + 10. Calculate s*h(l) + u*a(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*w**4 - 3*w**3 - 6*w**2 - 2606*w wrt w?\nAnswer: -96*w**2 - 18*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, -5, -2, 0.17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -1\/12*r**4 + r**2 + 0 + 0*r**3 - 1\/30*r**5 + 0*r. Let h(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -43 + 17 + 13 + -4 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7615571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 423*v + 9. Let n be z(18). Suppose n - 118916 = -13*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**3 + 5*f**2 - f - 3. Let c = 17442 + -17440. Let x(m) = 4*m**3 + 11*m**2 - 2*m - 6. What is c*x(w) - 5*t(w)?\nAnswer: -2*w**3 - 3*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -180587.898 to the nearest one hundred.\nAnswer: -180600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 76?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -6*c**5 - 137*c**2 - 47*c + 1. What is the derivative of k(i) wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**5\/240 - g**4\/96 + 6*g**2. Suppose n(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -274, -549, -824, -1099, -1374?\n\"Answer: -275*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (0 - 40 - -13) + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**3 + 5*k**5 - 4*k**5 - 4*k**3 + 11*k**5 - 21*k**5 - 18*k**5 + (0 + 0 + 2*k)*(3*k**3 - 3*k**3 - 2*k**4) + 3*k**5 - 3*k**5 + 7*k**5.\nAnswer: -24*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/994 and -3\/35?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecrtpeekkrtr. Give prob of sequence eec.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -6)*((-20)\/(-5) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15910 + 33464. List the prime factors of b.\nAnswer: 2, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 17, d: 1, w: 1}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.729742mm?\nAnswer: 0.005729742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**3*l**2 + 244*d**3*l + d**2*l**2 + 266*d**2*l + 4*d*l wrt d?\nAnswer: 6*l**2 + 1464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8092 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 28 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161382179.\nAnswer: 7, 23054597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58064 and 5149.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7764701 + 2*r + 31816*r**2 - 7764701 - 2*r to n + d*r**2 + v*r and give d.\nAnswer: 31816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 66 + -42. Factor -10*c**4 + 36*c**2 + 13*c**4 - 22*c**3 + 4*c**3 - x*c.\nAnswer: 3*c*(c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 2221879.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 8*l**2 + 7*l - 7. Let y(m) = -m**2 - m + 1. Suppose -8*o - 4416 = -4304. Give o*y(c) - 2*w(c).\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6662, 6556, 6450, 6344, 6238?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by -282.\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 18*o - 9. Let z be m(12). Let l be (-4)\/(-14) + 990\/z. Solve 4*j = y + l, y = -j - 4*y + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -608885 divided by 4\nAnswer: -608885\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*d + 12 = -121*d, -5*d = 2*b - 72584. List the prime factors of b.\nAnswer: 2, 7, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 608a42 - 4?\nAnswer: 608a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32 + 37.7.\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*d = 0. Suppose y - 2 = -d*y. Suppose y*k + 3*p - 6*p = 10, 19 = k + 2*p. What is the remainder when 31 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 687512?\nAnswer: 2, 7, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -5*r. Let i(s) = 2*s - 72. Give y(i(l)).\nAnswer: -10*l + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -0*f - 3*f - 24, 0 = -2*l + f + 16. Suppose -n = -5*n + l. Solve -6 = -n*g + 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10 + 2)*(1 + -11). Let a be 6\/(-8) - 20\/d. What is the remainder when 62 is divided by (a\/2)\/(7\/(-224))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1 = -i - 7, -i - 8 = -3*k. Let j(d) = -d. Let t be j(-5). What is the units digit of (t\/k)\/(-5)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -16\/511 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1092021 is divided by 1044?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 59 - 122403*s**2 - 22 - 23.\nAnswer: -122403*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*w + 5514 + 563 = -1283 for w.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 744538 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/(-162))\/(((-198)\/(-189))\/11). Let y = d + -22\/27. Which is smaller: -0.6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 times -18\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*j + (2*j - j + 0*j)*(-1 + 2 + 0) - j + 0*j + 4*j)*(-281*j - 173 + 173).\nAnswer: -562*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and -214.07128659.\nAnswer: -210.07128659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - 1771\/294)\/(4\/(-14)). Let o(p) be the first derivative of 1\/9*p**3 + 0*p + 2 + 0*p**2 + c*p**4. Factor o(z).\nAnswer: z**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11433 divided by -37?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 1352627.1748 to the nearest one thousand.\nAnswer: 1353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.61 + 0.39. Which is the second biggest value?  (a) 0  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from dddppdpdip.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4552811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22.22 - 22. Let k = 5.22 - u. Put -1\/4, 3, k in descending order.\nAnswer: k, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t - 3 + 2 + 4*t**2 + 0 - 5*t**2 + 2*t**2. Let x(z) = z**2 - 3*z - 1. Let n(f) = f**3 - 2*f**2 + 2. Let h be n(2). Give h*x(v) - 3*r(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 840752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4579*v + 4574*v = -1690. Calculate the greatest common factor of 91 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1147931.\nAnswer: 1147931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*u - 11. Let t(r) = -r**3 - r**2 + 2*r + 2. Let z be t(-2). Suppose 4*y - z*y - 6 = 0. Solve -u*w + y = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86755271 to the power of 1\/2, to the nearest integer?\nAnswer: 9314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645) - 2*sqrt(3645))\/sqrt(9).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-300))\/(((-72)\/160)\/9).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**6\/60 + c**5\/60 - c**3\/6 + 6*c**2. Let l be g(-1). List the prime factors of (-93)\/(-6) + (-1)\/l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*l - 5. Suppose 0 = -2*n + 7*n, -430 = l*c - 4*n. Let q = -84 - c. Solve 3*s - q*s = -5*p + 22, -4*p + 29 = -3*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33083104 and 608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {m: 1, x: 2, l: 1, g: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 196612185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - x)*(2 + 3 - 4) - x - 3*x + 6*x + 1 + x - 1 + 1326*x + 1193*x - 98*x + 749*x + (-x + 3*x - x)*(-8 + 2 - 2) to i*x + m and give i.\nAnswer: 3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 23 = -26. What is the third smallest value in f, -0.5, 5, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 1987*g + 81*g**3 - 4 - 1972*g + 2*g**2 + 1. Let d(u) = u**2 - 2. Let f(b) = 2*d(b) - v(b). Find the second derivative of f(s) wrt s.\nAnswer: -486*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*v + 3*v + 3*v)*(2 + 3 - 3) - 2*v + 4*v - 3*v)*(-1 - 2 + 0)*(3613*v + 108015 - 108015).\nAnswer: -54195*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115350*i**3 - 256529*i**3 + 7825*i**3 - 274166*i**3 + 66481*i**3.\nAnswer: -571739*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 2:01 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r**(2\/35)*r))\/r**0)\/(r**(-2\/13)\/r*(r*r**(1\/2)\/r)\/r))**(-8\/11) assuming r is positive.\nAnswer: r**(-5812\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7\/((-2800)\/(-816)) - 4*(-5)\/(-10)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 40\/4 - 4. Solve -5*a + 22 = 3*b, p*b - 8 = 3*b + 2*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66693?\nAnswer: 3, 11, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -73, -12, -3 in descending order.\nAnswer: -3, -12, -20, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - 143*a**2 + 104*a + 54434. Give n(-141).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 2)*((4*j**2 + 0 + 0)*(3*j + 0*j - j) - j**3 + 4 - 4) to the form l*j**2 + k*j**3 + u + z*j and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -10\/33, 5, -249, 2?\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j - 2, -8*x + 11*x = 4*j + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-12)*(14\/(-6) - -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -410 - 20?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s**3 - 252*s**2 - 4704*s - 21952 = 0. Calculate s.\nAnswer: -28, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 897695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 - 5*y - 41. Let a be (0 - 1)*(-2)\/(-3221). Let m = 132041\/32210 - a. Calculate the common denominator of m and q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-10) + (-120)\/275)*-5. What is the second smallest value in 26, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222689 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23603504?\nAnswer: 2, 1475219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 23213111031 (base 4) in base 5?\nAnswer: 1234412220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2 + 26)*2*(-8)\/3624 and -7\/24.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -2*h**3\/3 - 4. Let g(z) = -2*z**2. Give m(g(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 4*o - 24 = 0, 9*o + 5*o = -s - 69 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5*v + 2*v + 11*v)*(2*v - v + 0*v) - v**2 + 0*v**2 + 0*v**2)*(-v + 2*v**2 + v)*(-8*v + 20*v + 4*v).\nAnswer: 544*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 232*h**2 - 518*h.\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -16. Calculate the greatest common divisor of 63 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*o + 1 + (5*o + 0*o - 4*o)*(-518 + 229 - 96) - 4 + 4*o + 4.\nAnswer: -379*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1520 and 18200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 237585 and 1833?\nAnswer: 3088605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/27*3*(3602 + 1). Let o = 2736 - h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*w - 844 = 8*w - 250 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 6*q + 1 + 7*q)*(81 - 153 - 2*q**2 - 45*q + 71) in the form d + x*q + c*q**2 + s*q**3 and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 34014 (base 5) to base 13\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of r**7\/7 - 3*r**3\/2 + 85*r**2\/2 + 74. Let d(i) be the second derivative of k(i). Differentiate d(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l*p**5*x**3 - 20*l*p**3*x**2 - l*p*x**3 + 2*l*p - 9*l*x wrt p.\nAnswer: 20*l*p**3*x**3 - 120*l*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -3  (c) 3  (d) 8  (e) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5 + 2*z + 8*z + 2 + 4 + z**2. Let j be o(-10). Let c be j\/5 - 29\/(-5). Solve 2*l + c = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13671187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6902\/87)\/34)\/(119\/68)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.011, 120041?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 259, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -46.2. Let s = -3.2 + 3. Sort 1, s, o in increasing order.\nAnswer: s, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 19 - 14 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010531935 to six decimal places.\nAnswer: 0.001053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-8))\/(0 - 6\/8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 140 + 252. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-2)\/(-1) + -1). Suppose 2*p - 20 + 14 = q. Suppose -4*a + 133 = -p*y, -19 = -4*a + 3*a - 4*y. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47.7 + -50. Let x = h + 2. Which is the second smallest value?  (a) x  (b) 0.3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 4*u + 3*u**2 + (0 + 0 - u)*(2*u + 0*u + 0*u))*(-2*u**3 - 4*u**3 + 5*u**3) - 5734*u**2 + 31*u**5 + 5734*u**2.\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -124 - 65.5. Let d = b + 190. Let h be (-3)\/(-1) - (-2 + 1). What is the fourth biggest value in 3, -3\/2, h, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 19*b - 9. Let r be p(25). Let t = r + -101. What is the greatest common factor of t and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/4*(-4)\/2. Let g(l) = 6*l**2 - 13. Let a(r) = 5*r**2 - 12. Let j(s) = t*a(s) + 4*g(s). What is the units digit of j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 142628658 and 414.\nAnswer: 427885974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -110021231 (base 4) to base 14\nAnswer: -2211b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -14*n**2 + n + 1. Let c(o) = -27*o**2 + o + 1. What is -4*c(w) + 7*m(w)?\nAnswer: 10*w**2 + 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 0*h**2 - 34 + 0*h**4 + 0*h**3 - 61*h - 43\/5*h**5. What is the derivative of n(r) wrt r?\nAnswer: -172*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 2*b + 27, 2*s - 4*b - 10 - 3 = -7*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + w = 3*r - 275, 2*r = -4*w + 184. Suppose 5*i - 19 = 4*y + 75, -5*i + 5*y + r = 0. What is the highest common divisor of i and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52254*w + 51945*w = -11124 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 8)*(4*x - 2*x - 4*x)*(-7*x + 6*x - 2 + 4).\nAnswer: 4*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m + 416 + 179 = -94*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(78)*-1 + sqrt(78))\/(sqrt(24) - (sqrt(24)*-1 - sqrt(24))) + 2.\nAnswer: 2 + 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 268 and 44220?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -210 (base 3) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4807.\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nrnnnmmnpzpnp. Give prob of sequence znm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 - -1.98. Let z = 41.9 + -44. Let r = z + x. Is r smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 5*s**2 - 9*s - 3. Let m be v(-5). Suppose -5*b - m = -62. Suppose -b*h + 13 - 5 = 0. Solve -2 = 4*o + h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (81 - 169 + 145)*(0*o - 3*o + 2*o) as p*o + l and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 2, 2\/5, 8\/55 in ascending order.\nAnswer: -1\/3, 8\/55, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -16 - -4 - (-16 + 5). Sort 4, 3, l, -1.6 in descending order.\nAnswer: 4, 3, l, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 58*x**2 - 2*x - 2. Let w(r) = r + 1. Calculate -3*n(d) - 6*w(d).\nAnswer: -174*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1206461l?\nAnswer: 120.6461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-389411)\/(-33) + 16\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -7*s**2 - 499 - 8*s**3 - 3*s**3 + 500. Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4 + sqrt(108) + sqrt(108)*-2 + -3)**2*-1.\nAnswer: -117 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + 1792169158.\nAnswer: 1792169164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.744 times -146?\nAnswer: -546.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -26*n + 414. Let g(l) = -6*l + 103. What is 2*d(o) - 9*g(o)?\nAnswer: 2*o - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -128*s**2 + 9*s - 38. Let q be d(14). Round q to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 591 + -591.5. Put d, -2\/49, 3 in increasing order.\nAnswer: d, -2\/49, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**5\/7 - 240*k**4\/7 - 9448*k**3\/7 - 141152*k**2\/7 - 87168*k - 103936 = 0.\nAnswer: -58, -28, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 46 + 66 = 0. What is the nearest to -1 in 0.5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -316064 (base 7) in base 8?\nAnswer: -153216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 18*z - 110. Let k(m) = -m**2 - m + 5. What is k(z)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**2 + 97276*s - 2041914 = 0 for s.\nAnswer: 21, 48617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(176) + -2)**2 + 4*(sqrt(176) + -2).\nAnswer: -48*sqrt(11) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10112345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*o = -128*o + 23*o + 830. What is the greatest common divisor of 1700 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12306*p - 12316*p - 190 = 0 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 1277, -1\/3, 4, -122, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -8. Suppose 5*r = 5*i - 145, 0 = i + 2*r - 7*r - 21. Let y = i + -28. Solve t - x + y = v, 8 = t + 3*t + x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -108632*i**3 + 734*i**2 + 734*i + 1468. Let a(g) = 739*g**3 - 5*g**2 - 5*g - 10. Determine 734*a(m) + 5*b(m).\nAnswer: -734*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 112?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -f + 16. Let v = 313 - 296. Let l(n) = n**2 - 9*n - 80. Calculate the smallest common multiple of f and l(v).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1134674530195382 + 1134674396286395.99999944. Let f = m + 133908962. Let x = -24 - f. Round x to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30950, 118843, 265326, 470393, 734038?\nAnswer: 1056255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/8)\/(28\/4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-2)*(84\/(-15))\/7. Suppose 0 = -u*x - x + 3, 3*v - 2*x - 1813 = 0. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -n**2\/2 + n + 10. Let c be (-17)\/(-5) - 12\/30. Let g(a) = -2*a + 2. Calculate c*j(l) - g(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -8. Let t(o) = -14*o + 19. Let g = -1390 - -1388. Let a(i) = g*c(i) - t(i). Let d = -2 + 4. Calculate a(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 937032454, 937032453, 937032452, 937032451, 937032450?\n\"Answer: -k + 937032455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*3*sqrt(80) - sqrt(80) - -3*(1*sqrt(60))\/sqrt(12).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 3, 28, -3543 in decreasing order.\nAnswer: 28, 3, 2, -3, -3543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 979968723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -10?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.4794 + 0.4794. Which is the nearest to 1\/4?  (a) 1\/3  (b) 2\/53  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8850 + 11108. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -y**4\/4 - 7*y**3\/3 - y**2\/2 + 22*y - 854. Determine w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172738464 a multiple of 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1372*w - 2743*w + 1371*w + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 36 = -5*x, -4*x - 35 = -5*b + 1. Solve -5*f = z + 20, 2*z = f - z + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4852 (base 10) to base 2.\nAnswer: -1001011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19500389 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - w + 6 = k, 0 = -4*w + 2*k + 16. Suppose 3*v - 3*z = 3, -13 = -4*v - 3*z - w*z. Let b = -1 + v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 25, 58, 125, 238, 409, 650, 973?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, y: 3, l: 1, z: 4}. What is prob of sequence zhl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d. Let i(q) = 509*q**2 - 3*q + 692*q**2 - 138*q**2 + 3*q. What is s(i(g))?\nAnswer: 1063*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002976971372 rounded to seven dps?\nAnswer: -0.0002977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1198862 - 1198870. Let u(k) = k**2 + k + 1. Let d be u(-2). Let g(c) = -c + 1 - d + 5*c. Let y(f) = -11*f + 6. What is o*g(t) - 3*y(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 5*t - 5*t)*(27*t + 7*t + 11*t)*(2 + 2*t + 6*t**2 - 2*t).\nAnswer: -2970*t**4 - 990*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/43 + (-3021)\/106*(-3724)\/1634.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**3 + 0*f**3 + f**3 + (2*f**2 + 109*f**2 - 55*f**2)*(2 - 1 - 2)*(-2*f + 3*f + f) in the form n*f**3 + a*f**2 + m + t*f and give n.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 5*f - 2. Let n be b(-5). Let g be 2\/4*n - 2. Let y(s) be the first derivative of -s**4\/4 - 2*s**3\/3 + 2*s**2 - 4. Give y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 25*x - 44. Is p(-22) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 102, 223, 344, 465, 586, 707?\n\"Answer: 121*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*x + 56 = 92*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 7*m + 3. Let p be y(-7). Let t(j) = 6*j**3 + 3*j + j**2 + 61 - j - 60 + j**p. Let n(b) = b**3 + 4*b**2 + 2*b - 4. Let s be n(-3). Give t(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30241 - -34113111?\nAnswer: 34143402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + v + 21 = 5, -5*b + 40 = -4*v. Calculate the highest common divisor of b and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.272 and 620285271677.\nAnswer: 620285271677.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29 + -24. Suppose -4*i + j*d + 24 = d, 24 = 2*i + d. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/2 + 8*h**2. Let j be v(2). Suppose j*o - 16 - 8 = 0. What is the least common multiple of o and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 2:47 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2579755.5 rounded to the nearest 10000?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 19. Let d = -12 + -2. Let m be b(d). Suppose -m*w + 4*f - 21 = 0, -3*w + w + 18 = 5*f. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23055.23 kilometers to micrometers.\nAnswer: 23055230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -5*b + 15, 3*a + 5*b = 2*b + 15. Let k = a - 3. Suppose p + u = 31, -4*p - k*u + 167 = p. What is the remainder when p is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 2*y - 4 = 0, 5*t + 71692 = 9*y - 8*y + 71697 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 12*k - 25. Let j be x(-14). Suppose -2*c + j*b - 2 = -b, 5*c - 23 = -4*b. Let i(s) = 7*s**2 - 4*s - 7. What is the tens digit of i(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 7*z - 50 = 2*z, 2*j - 40 = 5*z. What is the smallest common multiple of 12 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -19*q - 15. Let z(y) = 2*y**2. Give z(c(j)).\nAnswer: 722*j**2 + 1140*j + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 64.33636 millimeters?\nAnswer: 64336.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 0 + (sqrt(275)\/(-1*sqrt(5)) - sqrt(55))\/(sqrt(44)\/(sqrt(16) + sqrt(4))) + ((sqrt(320) - (sqrt(320) + 1)) + -3)*-5.\nAnswer: -6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2229?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - i - 20 = -6*i, -12 = 2*d - 3*i. Suppose j + 43 - 167 = 3*h, d = h + 1. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (129 - 1\/(-1)) + (67 + -67)\/(62\/31)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(10\/12)*(-1420)\/1704. What is the biggest value in 0.178, -2, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 20*h + 22. Let j be (38\/8)\/((-8)\/(-32)). Let b be k(j). Let v(s) = 3*s - 4. Let g be v(b). Solve -x = g*r - 24, 3*x + 4 = 8*x - 4*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 112570*o**2 + 125*o + 2814250.\nAnswer: -5*(o - 5)*(o + 5)*(o + 22514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -1 + 2*b + 3*b**3 - 9*b**2 + 2 - 4*b - 2. Let w(p) = 2*p**3 - 8*p**2 - 2*p - 2. Let z(j) = 3*l(j) - 4*w(j). List the prime factors of z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 653 divided by 110\nAnswer: 653\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -a - 2*z, -a + 3*z - 110 = -117 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/16240 and -29\/3136.\nAnswer: 454720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 202043 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 213675 divided by -25?\nAnswer: -8547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, 0.07, 312, 2, -3\/7, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 2*a + 24. Does 7 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/40 + (-2)\/(-5). Let n = -1.247 + 7.057. Let k = 5.85 - n. Which is the nearest to 0.1?  (a) d  (b) k  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-2\/13)\/x)\/x**19*(x**(2\/3))**(-49) assuming x is positive.\nAnswer: x**(-2021\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1808\/217 - 59\/31. Calculate the common denominator of j and -77*(-1)\/(-3) + 12\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 0.5  (b) -5  (c) -6\/35  (d) -3  (e) -6.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 7*n + 14. Let l be b(-5). Suppose 2*w - 233 = -5*u + 160, -l*w + 247 = 3*u. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4)*((0 - 4 + 2)*(1 + 2 - 4) - 4 + 1 + 1 + 4 - 1 - 4 - 1 - 1 + 1)*(14*h**2 - 11*h**2 + 7*h**2).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 234 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 18391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n + 5*n - 10*n + 6*n. Let q(o) = -41*o + 2. What is l(q(m))?\nAnswer: 41*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 6 = -s, -3*l + 19 + 20 = -5*s. Let r be 9\/(-6)*(-52)\/s. Let j = -14 - r. Let f(d) = -5*d - 1. What is f(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -9. Suppose -t = -2*p - 7. Let n = 25 + -21. Solve 4*x + p*j = 9, -4*x - 5*j = -x - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/19553 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -83.03 + 64.03. What is the closest to g in 6\/7, 4\/3, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 1:21 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -690385 = -18593*k + 407749 - 38333 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38494 or 153973\/4?\nAnswer: 153973\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 3*v**3 + 0 + 2*v + 6. Let z be 32\/(-80) + 7\/5. Let j(x) be the third derivative of x**3\/6 - 47*x**2. Calculate z*w(a) - 5*j(a).\nAnswer: -2*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 5*o**3 + 2*o**2 + o + 3. Let y be g(3). Let v = -92 + y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llmxmmolobbm. Give prob of picking 2 m, 1 o, and 1 b.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 13*k + 4*k)*(-4*k**2 - 4*k**2 - 3*k**2) - 21*k**3 + 10*k**3 + 7*k**3 + (k - 4*k + 2*k)*(0*k**2 + 2*k**2 - k**2) - 4*k**2 + 4*k**2 - k**3.\nAnswer: 49*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*n + 33, 4*r - 14 = 5*n - 55. Suppose -5*y - 5*f - 60 = -10, -15 = n*f. Let x(t) = -t**2 - 7*t + 8. What are the prime factors of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/36 and (3 - 25\/8)*(-30)\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**3 + 301*o**2 + 0*o**3 - 2*o**3 - 303*o**2 - o + 47 as h + u*o**3 + r*o**2 + i*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61212 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 4:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 17*u. Does 8 divide x(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2162 + -29.0718. Let k = 30 + j. Let r = k - 0.73. Round r to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 5:40 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -3 - 0) + -2. Suppose -4*s + 16 - 44 = d. Let y(t) = -t**2 - 8*t - 10. What is y(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2. Let g(t) = -t - 809. Calculate g(o(w)).\nAnswer: -w**2 - 809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 15) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 403.8053 meters?\nAnswer: 403805300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -k, -4*k = 3*r + 2*r - 1665. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -9 and 0.308329.\nAnswer: -8.691671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1374  (b) 13  (c) 0.0282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4705\/968 + -7\/484. Which is greater: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((2 + sqrt(80) + sqrt(80))*3)**2 - (sqrt(450)\/sqrt(225))\/(sqrt(360)*1).\nAnswer: -8748 - 25921*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z + 30 = 0. Let s be (-6)\/4*8\/z. Which is the closest to s?  (a) 3  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 375*k**3 - 33*k**2 - 359*k**3 + 742*k**3.\nAnswer: 8*k**3 - 33*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 - 29. Let x(k) = 12*k**2 - 14*k + 126. Let b(t) = t**2 - t + 9. Let n(d) = 28*b(d) - 2*x(d). Determine n(s(v)).\nAnswer: 4*v**4 - 232*v**2 + 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/66 + ((-1083)\/44)\/((-330)\/(-440))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 35, 31, 27, 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1032028.\nAnswer: 2, 59, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.9, 0.4, 9 in ascending order.\nAnswer: 0.4, 1.9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((n*n*(n*n**0)\/n*n)\/n)\/n)\/n*n*n\/n**(-8))\/(n*n*n**3*((n**(1\/9)\/n)\/n)\/n))**(-5\/6) assuming n is positive.\nAnswer: n**(-355\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403*u - 336*u = -201. What is the closest to 0.2 in -0.5, -4, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -29*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -282 + 282.1. What is the fifth biggest value in d, 33, 3, -4, -7\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 78\/(-4)*4\/(-6). Solve l + 3*g - 8 = 0, -4*l + 0*g + 3*g = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**3*y**4 - 16391*d**3*y - 2858*d*y**4 + y wrt y?\nAnswer: 12*d**3*y**2 - 34296*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 21 = 14. Let p = -459 + 320. Let l = p - -139. Solve 10 = -l*v - w*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2113 bigger than 3294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/8 + 30\/(-24) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*2\/2 - (-3 - -6). Sort k, -5, -3.\nAnswer: k, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -2*l + 0 + 1\/21*l**3 + 0*l**2 - 1\/21*l**4. Find k, given that r(k) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from izbxbtaatxaaa. What is prob of picking 2 a?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 268 - 275. Let j(c) = 1. Let y(f) = -f**2 - 7*f - 10. Let p(x) = 4*j(x) + y(x). Calculate p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-72)\/40 - (-2)\/(-10). Calculate the remainder when 17 is divided by 26\/3 + x\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -225705, -7, -2\/35 in descending order.\nAnswer: -2\/35, -7, -225705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x + 0*x + 7*x)*(-2*x - x + 5*x)*(-38*x - 153*x - 111*x) to o + d*x + b*x**3 + q*x**2 and give b.\nAnswer: -3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-1138.3834\nAnswer: -341.51502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4 + 10 = -5*r, -4*k + 20 = -3*r. Suppose k*n - 104 - 34 = 0. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16\/7 in -3, 1\/5, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 2 d, and 1 n when four letters picked without replacement from hddvvnvid.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of 1\/6*a**4 + 2*a + 1\/60*a**5 - 17*a**2 - 43\/6*a**3 + 0. Differentiate b(r) with respect to r.\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.02 - 0.22. Let w(r) = -r**2 + 7*r + 56. Let f be w(-5). Sort p, 1\/2, 2\/5, f in ascending order.\nAnswer: f, p, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2, -3*h - 9 = -2*u - 4*h. Let g(y) = -6*y - 8. Let l be 20\/(-8)*24\/(-10). Let k(w) = 7*w + 9. Calculate l*g(s) + u*k(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + g = 6, 4*f - f + 3*g = 0. Let w = 1.3 + -0.3. What is the second biggest value in -0.2, w, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4600 and 40?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {p: 6, y: 2, c: 1, j: 1, d: 2, a: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -0.4, -1\/9, 4, -67 in decreasing order.\nAnswer: 4, 0, -1\/9, -0.4, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, h: 3, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -99 - 89. Suppose g = 5*g - c. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18 + -20 + 72\/(-4 - -1). Which is smaller: k or -201\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147572*l + 111*l**2 - 295139*l + 147567*l + 1.\nAnswer: 111*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 1285765555 and -15.\nAnswer: 1285765540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**3 + 3*h**3 + 0*h**3)*(-3 + 5 - 1) - h**3 + 0*h**3 + 2*h**3 + 3*h**3 + 0*h**3 - 4*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 - 7 + 57 - k**2 - 2*k + 0*k**2 in the form v + j*k + h*k**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -893.9968 + 892. Let y = b - -2. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 88 + -87.99999412. What is l rounded to seven dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 134\/37, 0.5, -3, -0.1 in increasing order.\nAnswer: -3, -0.1, 0.5, 134\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 76409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 2:09 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-16)\/(-12))\/((-1)\/(-6)). Suppose 0 = -3*v - 3*x + 4*x + 7, -2*x + b = 5*v. Factor -t**v + 1 + 0 - 1 - t.\nAnswer: -t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9210 (base 14) to base 15.\nAnswer: -7687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 120296344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22872 is divided by 21040.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 11:02 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g*g**(-1\/11)*g\/(g\/(g*g\/(g**(4\/5)*g)))*(g**(-2\/39))**(-26) assuming g is positive.\nAnswer: g**(733\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 427.400203 + -429.4002. Let q = d - -2. What is q rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3060, -24497, -82678, -195975, -382760, -661405, -1050282?\nAnswer: -1567763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - (32 + (-3)\/1). Let n = x + 49. Is n > 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8361121.8 and 2127.\nAnswer: 8363248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 1047. Let h be a(0). Suppose 4*n - 3*c - 856 = 0, -2*c + h = 5*n - 0*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1104077.142s?\nAnswer: 1.825524375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 139.3 and 0.1.\nAnswer: 13.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 385 and -7069.\nAnswer: -6684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 8 = 2*o. Let z be o\/10*(-45)\/(-18). Which is greater: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 106*v**2 - 182*v**2 + 147*v**2 to g*v**2 + z*v + k and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 6 + 28)*(-2*j + 2*j + j)*(j - 2*j + 3*j) as z*j**2 + h + t*j and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x - 30*x + 60 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.21 or 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 1)*(1 + 1 - 4)*(-3 - 1 + 0)*(-2*i + i - i).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 3*z - 164. Find the second derivative of 54*i**5 - 14*i - 26*i**5 - z*i**5 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6204 divided by -2068.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -9708.709 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 12:37 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*m = 58 + 9, 0 = 4*m + 4. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0, 0.2, -4669, -2, -0.3.\nAnswer: -4669, -2, -0.3, 0, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -493*w + 458*w + 105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 608906953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 30885, 30886, 30887, 30888, 30889?\n\"Answer: t + 30884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -4  (b) 1\/5  (c) -5  (d) -3  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 9*w - 14. Calculate the least common multiple of 65\/2 + (-4)\/(-8) and f(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 27*z + 482. Calculate the remainder when x(-9) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ghz when three letters picked without replacement from qqoqgoziioh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + 4*p**2 - 4*p + 1. Suppose 3*o - 5*o = 4. Let l be o\/((2\/(-5))\/(-1)). What is g(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411 - 2*u**2 + 411 + 3578*u - 3578*u + 3*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.766992 rounded to 3 dps?\nAnswer: 3.767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 313 - -4?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*m + 10*m + 2 + 4*m**2 - 2*m**2 + (-1 + 5 - 2)*(-2*m + m**2 + 2*m).\nAnswer: 4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.32776 centuries in years?\nAnswer: 832.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 413 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 z, and 1 x when four letters picked without replacement from fffnxfzfxfwxfsnzffww.\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hxc when three letters picked without replacement from schhhhhhhxhh.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5025569 and 5687?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**6\/30 + z**5 + 47*z**4\/6 - 42*z**3 - 341*z**2. Let o(f) = 0. Calculate f.\nAnswer: -9, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 8:42 AM?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -9. Let r(y) = -4*y - 2. What is r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12070 bigger than 12071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 + -1 + (-4 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 49412741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380 + 332 = -8*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1426446 + -1426414.000975. Let t = 32 - c. What is t rounded to five dps?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -944280\/37 and -25520 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**2 - 19*p + 6. Is 2 a factor of a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 46  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-1\/24))**2)**(-2\/41))**(-1\/28) assuming o is positive.\nAnswer: o**(-1\/6888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, -407, -4, -0.1, -3\/7, 3 in decreasing order.\nAnswer: 3, 5\/4, -0.1, -3\/7, -4, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 7*l + 3. Let r = 6 + -27. Calculate the remainder when h(7) is divided by 6*3\/(-6) - r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 96469.74 tonnes?\nAnswer: 96469740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30.35 and 1656.\nAnswer: -50259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 510 - 510 + y**4 + y**3 + 29*y**2 as a*y + o*y**2 + t*y**4 + l + w*y**3 and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 742417 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6774 = -1893*t + 54099 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3254, -0.3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 4*y**2 - 176*y - 519. Let m be j(-3). Solve -17 = -6*f + 9*f + 2*x, -f + 5*x + 34 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 1.32864046\nAnswer: 0.132864046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((374\/51)\/(-11))\/(2\/(-6186))?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 616915 is divided by 75?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 10) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 69176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/7)\/(m*m**(-2\/5)))\/(m**0)**(-10) assuming m is positive.\nAnswer: m**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2608 divide 176354861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000600695 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 331.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 3*h + 3. Let x(t) = -6*t - 39. Let b be x(-6). Let u(n) = 2*n + 2. What is b*w(d) + 4*u(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 31*t**2 - 238*t + 7374. Determine g(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 605, 603, 601, 599?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3820260.\nAnswer: 2, 3, 5, 63671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - ((-4 - -2) + 8)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(6\/8))\/((-14)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 - 40. Suppose 0 + c*y**3 + 1\/3*y - 2\/3*y**4 - 1\/3*y**5 + 2\/3*y**2 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6584 + -6604. Which is the second biggest value?  (a) -1\/6  (b) j  (c) 2\/9  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2544 and 84.\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5137 + 5137.5. What is the nearest to b in -0.2, 5, -3\/17, 3?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v**3 - 4*v**3 + 2*v**3 - 13*v**3 + 19*v**3 + 2213 as r + q*v**3 + f*v + i*v**2 and give r.\nAnswer: 2213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -540 divided by -384310.\nAnswer: 54\/38431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.041103+28006\nAnswer: 28006.041103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g - 3*g - 15. Solve 0 = -5*k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 8\/13, 82\/33, 5\/21?\nAnswer: 82\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 + -24. Let z = -7 - -12. Let w(a) = 9 - z*a**2 - 3*a**2 - 3*a + 2*a + 10*a. Let o(q) = q**2 - q - 1. What is c*o(f) + 2*w(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) + 5*sqrt(156) - sqrt(156)))*6)) + sqrt(156))\/(sqrt(72)\/sqrt(6)*1).\nAnswer: 115*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 + -14. Suppose -2*v + v = 2, 5*b - 3*v = p. What is the second derivative of 2*h**3 - h**b - 2*h + h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -30*z**4 - 284*z**3 + 9*z**2 - 3*z - 4987. Let n(k) = -9*k**4 + 3*k**2 - k. Let u(t) = -i(t) + 3*n(t). Find the first derivative of u(f) wrt f.\nAnswer: 12*f**3 + 852*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 4\/9, -13, -46, -5 in increasing order.\nAnswer: -46, -13, -5, 4\/9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -21*s**2. Let k(a) = a + 4. Calculate i(k(p)).\nAnswer: -21*p**2 - 168*p - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y - 12 = -3*y. Let k be y*(21\/(-2))\/7. Round k to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155488 is divided by 294.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 - -32031?\nAnswer: 32112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(156))\/sqrt(12) - sqrt(13)*2*3.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 27*o**2 + 26*o + 28. Determine r(26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.157942 times -638\nAnswer: 100.766996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3040979.\nAnswer: 3040979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -267*w**4 + 271*w**4 - 5*w**2 - 2 + 4*w**3 + 5*w**2 + 28*w to the form z*w + p*w**2 + b*w**4 + v*w**3 + d and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3053, 8, 573 in decreasing order.\nAnswer: 573, 8, -3053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k - 8*k = -14*k + 75 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2105445 divided by -35\nAnswer: 421089\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -271416*b**3*j**4*r - 4*b**3*j**2 - 5*b**3*j - 8*b**3 + 5*b**2*j*r + 63*j**3*r + 152*j**2*r + 2*j**2 - 4*r wrt j?\nAnswer: -6513984*b**3*j*r + 378*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyuuumzcuumqyqm. What is prob of sequence cuu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -118*u + 16638. Let t be s(141). Let a = 0.02 + 0.1. Sort t, a, 20 in decreasing order.\nAnswer: 20, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275) + (1*sqrt(275))**2 + 0.\nAnswer: 5*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 12:54 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 2*y + 17 = 0, -5*n = -9*n + 3*y - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1 - 4 + 55*y**2 - 4 + 15 wrt y?\nAnswer: 110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1323 = d - 5*t, 0 = -3*d + 127*t - 124*t + 4005. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 71*951526\nAnswer: 67558346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 151652207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13204?\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -10201110?\nAnswer: -10201113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 2. Calculate n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h**2 - 10*h + 7. Let t be p(-5). Let d be 21\/t - 9\/(-6). Which is the third smallest value?  (a) 2  (b) d  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1040382 divided by 6.\nAnswer: -173397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -2*t**6\/15 - 18*t**5\/5 - 27*t**4 + 36*t - 37. Let l(m) be the first derivative of f(m). Determine n so that l(n) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 1126*k**2 - 135119*k - 37. Give z(120).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 2*w - 98, 4*h + 3*w = 10 + 67. Let z be -5*((-52)\/h - -3). Let k be 9\/(-12)*z*2. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 18 = 4*v, 0 = -t - 95*v + 97*v for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273825.\nAnswer: 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2825592 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6080 + 6076 = -2*r - x, 4*x = r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 657.09 times -0.51?\nAnswer: -335.1159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/7, 3.3, -485, 1.8, -0.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8*(-9)\/(-12) + (9 - 0). Solve -d - b = -3 + 5, -2*b + 11 = -q*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 4, -425, 0.065, -1\/13, 0.4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49 + 11 + 1 + -45?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-60)*69\/345?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 r when four letters picked without replacement from rrrmmrm.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r - 72 = -18*r. Suppose -225 = -0*y - 5*y. What is the remainder when y is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*d - 7*d**2 - 37*d to x*d**2 + i + b*d and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9997882 + 2467882. Round w to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express v**3 + 695969 - 1391942 + 695966 - 7*v + 2*v**2 as j + g*v + i*v**2 + u*v**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(13\/3)*l*l**(-14))\/(l*(l*l\/l**7)\/l*l)**24 assuming l is positive.\nAnswer: l**(262\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -10*t + 29. What is p(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8359*y + 4078 wrt y.\nAnswer: 8359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7 + 1 + 7 + -9. Let r = -145 - -149. Let n(k) = -8*k + 42. Let t be n(5). Solve t + o = r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 399358?\nAnswer: 2, 199679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.85372 plus 0.9?\nAnswer: -6.95372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v + v - 2*v + (-14 - 1 + 6)*(7*v - 3*v - 3*v) + 102*v - 33*v + 37*v.\nAnswer: 95*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 69.6521 micrometers?\nAnswer: 0.00696521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28 + -8829.\nAnswer: -8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 5*x - 2. Let w be g(-4). Suppose -3*f + f = 4*t - 10, -t = -f + w. Suppose f*j - 18 + 9 = 0. Solve -2*q = j*i + 4, -q + 5*i - 4 = 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -165740*k - 662971. What is c(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2933.\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 785.\nAnswer: 8\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 12*o**2 + 275*o - 24. Calculate r(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 218553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 19. Suppose -m*w + 100 = -w. Calculate the least common multiple of (3 + -1)\/(-1) - (-24)\/1 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 14 = w - 0*l, 0 = l - 3. Let a be (-2 - -6)\/(-2) + w. Solve 5*z + 4*m + 44 = 4, -a = 2*z + 2*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 3 = 2*r + 4*k, 3*r - 46 = 4*k. Suppose 3*j = 50 - r. Calculate the common denominator of -49\/20 and -3 - 2*(-35)\/j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49a05 (base 11) to base 12.\nAnswer: 3563a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 9. Let x be p(6). Let k = 0 + x. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {x: 1, i: 1, o: 2, g: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/71651489 and -31\/133.\nAnswer: 71651489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p + 1\/2*p**2 + 0. Let q(h) be the second derivative of -h**3\/6 - 3*h**2\/2 + 5*h. Determine -4*o(t) - q(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41\/156 + 1\/78. What is the nearest to -1\/4 in 4, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2226989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of 53*a**5\/20 + 17*a**4\/6 - 24*a + 1. What is the third derivative of b(x) wrt x?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(11\/((-264)\/(-252))))\/((-10)\/(-14))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/3*3 - -5. Suppose -r*b + 4*b - 2*o + 38 = 0, 2*b + 3*o = 35. Let g = -14 + b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 1436 - 1406 = 7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of 5\/8*c**4 - 6\/5*c**5 - 15\/112*c**8 + 0 + 0*c + 1\/4*c**6 + 11\/35*c**7 + c**3 + 31*c**2. What is s in j(s) = 0?\nAnswer: -1, -1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l + 6. Let m(j) = j + 1. Let d(u) = -c(u) + 6*m(u). Let a(s) = -12*s. Determine d(a(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.8 in -1, 5, -2, 18\/35?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 minutes before 3:00 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*i + 6 + 14, -20 = 2*g - 4*i. Let w be (g\/2)\/(2 - -1). Solve w = 5*s - s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of -5*d**4\/24 - 2*d**2. Let i(s) = -2*s + 2. Let o(h) = 4*h - 5. Let n(x) = 5*i(x) + 2*o(x). What is g(n(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 2. Let b be o(0). Let i = -61 - -243\/4. What is the closest to 2 in i, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1201120 - 211?\nAnswer: -1202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j**3 + 6*j**2 - 5*j. Let o(x) = x**3 + x**2 - x. Let l(n) = 5*o(n) - z(n). Give l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 38 = 5*d + 4*p, 3*d + p - 32 = 0. Suppose d = 4*i - 3*y, 4*i = i - 3*y + 12. Suppose -1 + 4*a**2 - 2*a**2 + i + 4*a + 0*a = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6675 + -6543. Calculate the highest common divisor of 1782 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 11*h - 103 = 57, -5*t - 4*h = -195. Let l(g) = 2*g**2 - 65*g - 187. What is l(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*w + 99*w - 195*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -80 + 145. Let n = -37 + q. Let l = -113\/4 + n. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-4 - (-8 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5969 is divided by 1514.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/(-22) + 6937\/1232 and -131\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 13\/3, 263, 35\/12, 5 in descending order.\nAnswer: 263, 5, 13\/3, 35\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 187\/(-170) - (-3 + 9\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2576837571 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162324 and 35316?\nAnswer: 17693316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/105120 and 47\/1846170.\nAnswer: 29538720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 190319*a**2 - 2*a - 63. Let m be s(-7). Let t = 4305582 - m. What is t rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 344 = -5*x - 130, x + 5*v - 22 = 0. Suppose -23*t = -2*t - x. Solve -t*n - 2 = -i - 1, -2*i = -2*n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (44\/3)\/(-2)*3. Let j(x) = 2*x - 3*x**3 - 8034 + 8034. Let l(m) = 16*m**3 - 11*m. Determine u*j(s) - 4*l(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 2*j**2 - j - 3. Let h be q(-2). Let x be (-4 - -3) + 0 - h. Suppose -6 = -2*y - x*y, 4*y - 54 = -p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 15.8, 0.5, -24.1, -28\/3 in increasing order.\nAnswer: -24.1, -28\/3, 2\/7, 0.5, 15.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -140969500 to the nearest 100000.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0454 - 5152.\nAnswer: -5152.0454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (23150519482\/(-3889340) - 1). Let i = -50\/194467 + x. Let n = i + -5944. What is the common denominator of 75\/8 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, 2\/809, -0.03, -2\/11, 221?\nAnswer: 2\/809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -5*q**2 - 2*q + 2. Let x(u) = -36*u**2 - 15*u + 15. Let l(b) = -30*r(b) + 4*x(b). Let w(z) be the third derivative of z**4\/12 + 4*z**2. Give l(w(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, t: 2, x: 1, r: 1, q: 2, o: 1}. Give prob of sequence yqq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + j - 210 = 2*j, 2*q - 5*j - 61 = 0. Let a = q + -13. Suppose -4*m + 5*p = -m - 18, -5*m - 3*p + a = 0. Solve m*v = 5*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s + 3. Suppose -3*k = -5*k + 2*b + 20, -k + 15 = -2*b. Calculate v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1065 + 8503 = -0*y + 16*y. What is the least common multiple of 14 and y?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115*q**3 + 32*q**3 - 58*q**3.\nAnswer: -141*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 117374670 to the nearest one hundred thousand.\nAnswer: 117400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1093 = -3*o - 1072. Let u(g) = 2*g**2 - 7*g - 6. Calculate u(o).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + b = 2, 4 = 5*n + 4*b - 4. Suppose n*q + 29 = 4*q + 5*h, q - h = -4. Is 2\/65 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21582923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v - 22. Let r = -234 - -138. Let c = 106 + r. Give i(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157767.\nAnswer: 3, 43, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 297 and 125367.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/5)\/h**(1\/2))\/(h*h**(-2\/7)*(h*h*h**(-1\/7)*h*h)\/h))**(-11) assuming h is positive.\nAnswer: h**(3443\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, t: 1, p: 2, c: 1, n: 2}. What is prob of sequence mtw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 922 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170017?\nAnswer: 17, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 1775 = -2308. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u + 221. What are the prime factors of s(0)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 227504  (b) -1\/10  (c) 0.07  (d) -1\/5  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2558.707 and 446367?\nAnswer: 443808.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*p + 7 = 7. Let s(u) be the second derivative of u**5\/20 + u**3\/6 + u**2 - u. Let l be s(p). Solve 5*n + 4 = l*v, 0*n - 4 = -n + 2*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(sqrt(7) + sqrt(63)) - (5*sqrt(136))\/sqrt(8).\nAnswer: -19*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 282 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76912018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*r + 8*r + 31*r)*(-r**3 - r**3 + 5*r**3 + (-5*r + 3*r + 4*r)*(r**2 + 0*r + 0*r)).\nAnswer: 245*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*j + 7*j + 16. Sort j, -1, -2 in increasing order.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -14.878. Let l = 0.142 - m. What is the closest to -1 in 4, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 1230*o**3 + 2*o + 2467*o**3 - 1211*o**3.\nAnswer: 26*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 307 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280333287?\nAnswer: 3, 13, 257, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1137 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.3581 and 51?\nAnswer: 273.2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -36*z - 95. Is i(-64) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2146132085?\nAnswer: 5, 41, 10468937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 254716901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 38304 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 81434, 651757, 2199962, 5215049, 10186018, 17601869?\n\"Answer: 81500*g**3 - 59*g**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20\/11 in 1.9, 3\/5, 0.05, 37?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/29123 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 538083, 1076167, 1614251, 2152335, 2690419, 3228503?\n\"Answer: 538084*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 0 - -1 - 15\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5271 is divided by 211.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - -4)\/(2\/34). Suppose 2*d - n = -3*u, -5*d + 5 = -5*u - 0. Suppose 0 = -u*c + 5*c - 326. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4 = 64. Let z = d + 65. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 57, 136, 247?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2661 - 3326.97. Let r = -1601 + 932. Let m = r - a. Round m to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 0.25  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/25, 6\/7, 2\/7 in decreasing order.\nAnswer: 6\/7, 2\/7, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 35*f**2 + 41*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 6*q**3 - 20*q**2 - 3*q + 148. Let v(h) = h**3 - 2*h**2 + 23. Let p(z) = -c(z) + 7*v(z). Determine p(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4*2*6*(sqrt(833) + sqrt(833) + 0 + 0 - sqrt(833))*6)**2.\nAnswer: 4032*sqrt(17) + 69092353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8224 + 13902. What are the prime factors of c?\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((i\/i**15)\/i*i))\/i**(-2\/13))\/(i*i**(2\/29)*i*i*(i*i\/i**(15\/7))\/i) assuming i is positive.\nAnswer: i**(34908\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000021642677 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 678826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tj when two letters picked without replacement from bthjs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46391, -46403, -46427, -46469, -46535, -46631, -46763?\nAnswer: -46937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 8:29 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -8*h. Let u(p) = 28*p - 5. Let k(q) = -1035*q + 184. Let l(m) = 5*k(m) + 184*u(m). Determine 6*l(r) - 17*z(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 11220020 (base 3) to base 10\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, v: 2, f: 2}. Give prob of sequence fjjv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 4, -29866 in decreasing order.\nAnswer: 4, 2, -1, -29866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g - 7. Is 2 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 1\/2, 2\/5, 2.67?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2748.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 519286655 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*x + 3*t, 0 = -3*x - 5*t - 0*t. Suppose -x*s = -2*s - 6. Let u(f) = s*f**2 - f**2 + 6 - 2*f - f - 9. Give u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26399019*r**3 - 10*r**2 - 12*r + 17367.\nAnswer: 158394114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3 = 11. Let f = 19 + m. Is 5 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.58 + -10.6. Let g = -11 - m. Let f = g - 2.58. What is f rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 159255 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(((-273)\/(-28))\/13). Suppose m - 6*j + v*j = 3401, -j = 5*m - 17049. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6*f**2. Let w(x) = -6813*x**2. Calculate c(w(v)).\nAnswer: -278501814*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 245, 485, 717, 941?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 167, 117, 81, 77, 123, 237, 437?\n\"Answer: 3*y**3 - 11*y**2 - 38*y + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, 4, 85, -1 in ascending order.\nAnswer: -84, -1, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + 16*l**2 - 37*l - 16. What is r(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*m**4 + 4 + (1 + 1 - 4)*(3*m**4 - 2*m**4 + 0*m**4) + 2*m**4 + 12*m - 12*m + 2*m**3 as z + d*m**2 + l*m + r*m**3 + n*m**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -76 + 133. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of q**5\/100 - q**4\/15 + 12*q + 2. Find y such that l(y) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 319 and 528?\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370 + 693 - 323 + 17*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 25*t + 5 = -34*t, -t = g - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-24))\/((-21)\/14)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -20 + -38 + 18.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -22957892, -22957896, -22957904, -22957916?\n\"Answer: -2*p**2 + 2*p - 22957892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -620, -1244, -1868, -2492, -3116?\n\"Answer: -624*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b**2 + 3*b + 1. Let i(w) = -45*w**2 - 24*w - 10. What is 5*i(y) + 40*o(y)?\nAnswer: -385*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 161362 times 2.9?\nAnswer: 467949.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -24, 0.11 in increasing order.\nAnswer: -24, 0.11, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 17*l - 5. Let c(h) = -5*h - 1. Determine c(g(m)).\nAnswer: -85*m + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**2 + 4*f**2 - 12*f**2)*(-4*f**3 + f**3 + 2*f**3).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 8 = -0*h. Suppose 21 = 3*l + 3*d, -3*l + h*l + 5*d - 17 = 0. Let b be 4\/2 - 0 - l. Which is bigger: 2\/25 or b?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, g: 7, l: 3, c: 1}. What is prob of sequence lcr?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -n**4\/24 - n**3\/3 + n**2 - 769. Give l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.4659084 to 3 dps.\nAnswer: -11.466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/5 + 84\/(-105))*(-3)\/(-9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2737\/265324 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -18  (b) -1\/3  (c) 1\/6  (d) 5  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15999 = -6*s + 25995. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 605982*i = 606040*i - 348 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5*5\/100*(-16)\/(-5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 163818111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 15*p**2 - p - 31. Let l be x(-15). Let a be l\/(-28) + (-48)\/(-14). Suppose 98 - 382 = -a*y. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -526*a**2 - 5*a + 17. Let s(q) = -136*q**2 - q. Give -h(o) + 5*s(o).\nAnswer: -154*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13583292?\nAnswer: 2, 3, 37, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - -23. Sort s, 2, 0.3 in decreasing order.\nAnswer: s, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14299 = 8*t - 78611. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 473 - 461. What is the smallest common multiple of 7 and (f\/(-24))\/((-1)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m**3 + 13*m**2 + 6. Let w(c) = -1. Let f(t) = -h(t) - 6*w(t). Find the third derivative of f(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 t, and 1 n when four letters picked without replacement from {e: 4, t: 2, d: 2, n: 5, p: 4}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1670, -1287, -906, -527, -150, 225, 598?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -1\/6*d**4 + 23\/10*d**5 + 0*d**2 + 1\/3*d**3 + 0 + 98*d. What is the third derivative of r(g) wrt g?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -12. Suppose -4*s + c + 13 = 0, s + 5*c = -11 + 30. Suppose s*h - h = t. What is the smallest common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((a\/a**4)\/a)\/(a**(2\/9)*a*a))\/(a**(-7\/5)*a*a**2))**42)**(3\/4) assuming a is positive.\nAnswer: a**(-1232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6577756099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12513450 (base 6) to base 12\nAnswer: 17b886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3995826631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1522156 (base 7) in base 6?\nAnswer: -4235314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*((-2)\/16*22 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 706 + -399. Suppose m = -2*f + k, 0*f - 3*f = m - 462. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) - 1*sqrt(847))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 12:22 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 11:14 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2147 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0726 + 4.5274. Let m = 5.4 - 5. Let y = m + x. Which is the third biggest value?  (a) 0.5  (b) y  (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -76731 + 2531912\/33. Let w = h - -74\/11. Let m = 0.2 - 0.2. Which is the closest to 2?  (a) w  (b) 0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -16*j. Let o be d(-1). Suppose 0 = 5*h + 2*z - o, -3*z - z + 4 = 3*h. What is the least common multiple of 2 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**2 + 2*g**2 - 701 + 368 - 9*g**2 + 333.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.6 + -4.5996. Round t to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {x: 2, f: 4, t: 6, g: 1, u: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -29.4. Let r = -1 - 2. Let v = r + o. Which is the third biggest value?  (a) 0.5  (b) 3\/8  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**2 + 5752143*g + 46016952 = 0. What is g?\nAnswer: -1917373, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 - 20*t. Let k be y(20). Let u be (-9 + 13)*((-1)\/(-38) - k). Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = i - 3*o, 5*i + 94*o + 3 = 90*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 7*i + 4*t - 2 = 0, 3*i + 10 = -t. Let r(q) = q**2 + 3. Let a(u) = -u**2 - 6. What is i*a(z) - 5*r(z)?\nAnswer: -2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 560987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/255*(-580)\/(-174).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 657 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12481 - -12481.0006293. What is u rounded to five dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = 2*j - 0*f - 5*f, 3*f = -3. Let h be 96\/j - (-4)\/(-2). Let s = h + 2\/279. Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00014079733 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243752 is divided by 17304.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u - 13. Determine l(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 0.1  (c) -0.05  (d) 4  (e) -36947  (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 14. Suppose m*a - 10 = -a. Let p(i) = -i**3 + 10*i**2 + 12. Calculate the remainder when 57 is divided by p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + k**2 + 4*k - 4. Let y be f(2). Suppose -4*n + 0*n + 364 = y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j**(-1\/6)*j)))**(2\/65))**(-43\/4)\/((j*j**(2\/3))**(-3\/28)\/(j\/(j\/(j\/(j*j**(-2\/5)))))**(-1\/18)) assuming j is positive.\nAnswer: j**(-1843\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1081 (base 13) in base 15?\nAnswer: a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o*o**0*o)\/o)\/(o*o**(-8\/5)*o))\/(o**(1\/4)*o)**(-24))**(-3) assuming o is positive.\nAnswer: o**(-474\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 106 + 76 - 131. Let g(i) = 2*i**2 - 104*i + 107. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-15)*(-3)\/42?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -5*r**4 + 2*r**3 - 3*r**2 + 2. Let f(t) = t**4 - t**3 + t**2 - 1. Let n = -5 - -3. Let k(u) = n*f(u) - i(u). Find the third derivative of k(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1539 - 1152. What is the highest common factor of 1419 and n?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98 * 3.833585\nAnswer: -375.69133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -3\/22  (c) -1\/42  (d) -2  (e) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33882351.9999999 + -33882354. Let l = 1.5 + 0.5. Let b = o + l. Round b to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-4)*(-100)\/15. Let u be 15*-2*15\/x. Suppose 0 = 2*d - u - 255. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 271*k**3 + 17 + 274*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-10))\/((-1)\/((-25)\/20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -68817 divided by 87?\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + 2*r - 6*r)*(9*r**3 + 4 - 23*r**3 - 3) + 25 - 25 - r**4.\nAnswer: 97*r**4 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r - 6. Let y(b) = 72*b**2. Give f(y(v)).\nAnswer: 216*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2156421688?\nAnswer: 2, 211, 1277501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 17*t**2 - 10*t**2 - t - 4 + t**3 - t**2. Calculate n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -84038, -83961, -83776, -83429, -82866?\n\"Answer: 9*n**3 + 14*n - 84061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w - 4. Let z(q) = -q - 1. Determine x(y) - z(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/5*c**4 + 2\/5*c**3 - 1\/5*c - 1\/5*c**5 - 2\/5 + 4\/5*c**2 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 96*q**2 + 390*q - 2031. Determine w(92).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 + 12)\/(6\/3778) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 15\/4 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1901 + 1901 + 244*z.\nAnswer: 244*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, n: 3, o: 4, f: 3, p: 1, s: 2}. Give prob of sequence pofo.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/16 - (-5 - -4))\/(2\/60)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 43 + 321?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, q: 8, h: 1, c: 1}. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -4*((-135)\/12 + 4) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8214956 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (635\/20)\/((1\/4)\/(-1)). Let h = n - -130. Solve 1331 + 1058*a - a**h - 1421*a + 0*a**3 + 33*a**2 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009214 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -3*o + 3716322, 0*o + 4*m + 1238794 = o. Let v be (-3)\/(-8124)*o\/(-165). Let d = v + -1\/3385. Find the common denominator of d and 43\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-2\/31)*i*i**(-1\/5))**(-29)*(((i*i*i**(2\/7)\/i)\/i)\/i**10)**(-8) assuming i is positive.\nAnswer: i**(25653\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 181621\/3553 + (-2)\/17. Solve 0 = f*u - 329 + 74 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -343, -2748, -9255, -21910, -42759, -73848, -117223, -174930?\n\"Answer: -341*n**3 - 5*n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, i: 7}. What is prob of picking 1 i and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 4*y)*(2 + 2 - 3)*(-1 + 2 + 1) in the form w*y + g and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 5*d**2 - 7*d - 4. What is the units digit of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1479, 1477, 1475, 1473?\n\"Answer: -2*b + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) 12  (c) -2\/7  (d) 1.3  (e) -2\/21  (f) 6.74\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.14 * 5110.\nAnswer: -715.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*w + 24*w = 109*w + 5037 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/3 - (-215996)\/(-3). Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 9*m + 13*m + 238 - 9*m + 28*m**3 - 242 - 8*m**2. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71031773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m + 0*m = -18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.6 - -2.1. Let m be (-24)\/(-9)*(-3)\/10. What is the biggest value in m, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4747 = -568*p - 771. Suppose 0 = 5*i - 2*i - 18. Solve -i = -13*s + p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/4 - -3\/44. Put 0, 18\/5, 5, r in increasing order.\nAnswer: r, 0, 18\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.63155 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2957*o**3 - 11*o + 22*o - 2954*o**3 - 11*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*r = -6, -4*l = 3*r + 2*r - 18. What are the prime factors of (-3 + 277\/1)*l?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + 1)*-4)**2 - (4 + (-1 + sqrt(288))**2) - (4 + -4 + 2*sqrt(288))**2.\nAnswer: 408*sqrt(2) + 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 + 66. Suppose 4*j - 3*t = z - 0, -j = 3*t + 13. Solve -4*y - 4*p - 12 = 0, 3*y - 6 = -0*y + j*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/15)\/(66\/(-12)*52\/(-429))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -83\/84115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f, 1 r, and 1 g when four letters picked without replacement from fppfrpgpc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 418, 1162, 2878, 6052, 11170, 18718?\nAnswer: 29182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24 - -34. Let t = 3 - 1. What is the least common multiple of (-3)\/15 + 72\/b and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 3*h - 99, 2*r = r - 3. Let o = 47 - h. Suppose 0 = 4*t - o*t + 995. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1212208042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-8) + (-110)\/(-8). Find the common denominator of 44\/h - (-2)\/(-4) and ((-407)\/(-396))\/((-2)\/4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-14)\/(-20)*76\/(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(243) + -5 + sqrt(243) - sqrt(243))**2.\nAnswer: -90*sqrt(3) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -j**3 - 3. Let b(g) = -2*g. Give z(b(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 156635536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 31009.26 litres in millilitres?\nAnswer: 31009260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 27765.2553885 and 0.0853?\nAnswer: 27765.1700885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2. Let i(u) = -16*u**2 - 6*u - 1. Let l(v) = v**2 - 2*v - 1. Let d(n) = i(n) - 3*l(n). What is d(k(p))?\nAnswer: -76*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 259 = 385. Suppose -34*v = -w*v - 30. Sort -150, v, -5 in descending order.\nAnswer: v, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4, 9 + 13 = 5*c + 2*m. Let v be (-297)\/(-15) - 19 - 29\/5. Let x(t) = -t - 7. Let n be x(-5). Sort c, n, -3, v.\nAnswer: v, -3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y\/(y\/y**(2\/11)*y)*y)\/y*y)**(-5\/2))**(-4\/5) assuming y is positive.\nAnswer: y**(26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 73958881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/4  (b) -0.1  (c) 2.35  (d) 5  (e) -1  (f) 0.7  (g) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2839425863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57, -53, -51, -51, -53, -57?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 0*n + n)*(-13*n + n + 3*n)*(0 + 2 + 0).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -292 - -32.2.\nAnswer: -259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-273*x + 145*x - 322*x - 24*x - 447*x + 10*x)*(-35*x + 236 - 236).\nAnswer: 31885*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/11)\/o)\/(o\/(o\/o**(2\/5))))\/(o**(-4))**(-2\/71) assuming o is positive.\nAnswer: o**(-5552\/3905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.0029 + -14. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25629918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 15) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*(sqrt(140) - (sqrt(140)*2 + sqrt(140))))\/(sqrt(7) - 1*sqrt(7)*-3))\/(-1*(sqrt(330)\/(2*sqrt(11)))\/sqrt(3)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 109, 199, 261, 289, 277, 219?\n\"Answer: -p**3 - 8*p**2 + 121*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*y + 840 = 74*y. Let p = 907 + y. What are the prime factors of p?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 116*(-2)\/(-16)*6. What is the greatest common divisor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 32581100059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*m + 23*m - 9*m)*(2*m - 5*m + 6*m) - m**2 - 6 + 4*m + 6.\nAnswer: 83*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -47*s - 47. Let w be l(8). Let t = w + 420. Let b(k) = -2*k + 3. Let n(o) = o - 4. What is t*b(m) - 4*n(m)?\nAnswer: 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37857902.\nAnswer: 2, 18928951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10929.\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-8))\/(5\/((-560)\/98))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 341 - 301 = -8*m. Let g(k) = -2*k + 0*k + k. Let d(q) = -2*q. Suppose 5 = 2*b - 0*n + 3*n, -4*b + 4*n = -20. Give b*d(o) + m*g(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-2) + ((-74)\/(-2035))\/((-90)\/(-6765))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -5*q - 12 + 2, 4*q + 3*n = 20. Suppose -7 = v + q*z, 0*z = z + 4. Solve 5*h + 24 + v = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -759*(-900)\/(-27)*(-20)\/2. What is i rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 q, 1 e, and 1 h when four letters picked without replacement from httemqq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -224538039*h + 627572605 wrt h?\nAnswer: -224538039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + x. Let z be j(-2). Suppose z*m - 7*m = -40. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1\/4  (b) 87  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9860 is divided by 329?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70975 is divided by 327.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/5 + 364\/20. Let k be 2*(-3)\/r*-3. Is k smaller than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -10244400?\nAnswer: -10244400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 74264 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010 + -12?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3481\/656 - 39\/328. Sort -1, r, 3\/2 in descending order.\nAnswer: r, 3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -27*f**2 + 7*f + 31. Let w(u) = -9*u**2 + 2*u + 10. Let r(q) = 3*s(q) - 8*w(q). Let b(n) = 5*n**2 - 3*n - 7. Calculate -5*b(m) - 3*r(m).\nAnswer: 2*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((((-4)\/(-6))\/(12\/18))\/1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1503170*f**3*t - 3*f**3*v + 2*f**2*v - 4*f**2 + f*t*v + 4*f*v + 11257*f wrt t?\nAnswer: 1503170*f**3 + f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 32*z + 23*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 20 = -2*j, 3*n - 3*j - 19 = 2. What is the second derivative of 6*h + 10*h + 8*h**2 - 30*h**n wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 0*f**3 + 15 + 4580*f - 29*f**2 - f**3 - 2284*f - 2265*f. Give d(-30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + 3*sqrt(612) + sqrt(612) + -4*sqrt(612) + -3 + (sqrt(612) + -3)*-1 + sqrt(612) + sqrt(612) + sqrt(612)*2 + -1)**2.\nAnswer: 72*sqrt(17) + 5514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/20792224 and 1\/156.\nAnswer: 810896736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/110)\/((-2)\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 19*n**2 + 5. Let v be g(19). Suppose v*b + o - 89 = 0, -3*o = -3*b + b + 39. What is the units digit of (3 - 0)\/(b\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 372 + -436. Let u = 252 - b. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*2\/40)\/((-158)\/1896).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -j - 4*b, 4*j + 3*b = -b - 44. Let a = -3 - j. Solve -3*o + 40 = -5*v - a*o, 2*v - 5*o - 19 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-6)*-2*10\/(-105)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -5*g**2 - g - 6. Let l be b(-2). Calculate the remainder when 103 is divided by 1 - -20 - (-6 + l\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 744\/13 - 19958\/351. Calculate the common denominator of u and 8\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 7*d + 6. Let a be m(-6). Suppose 0 = 2*q + q + 15, -2*c - 4*q - 296 = a. Is (c\/(-12))\/(2\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5529.8 - 5530. Is 0.05701 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - c + 2 + 1)*(4 - 2 + 7).\nAnswer: -9*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -26, -10, 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5.54 times 228227\nAnswer: -1264377.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 9:22 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4, 0.3, 2.29, 0.4, -0.4?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8771)\/(-28)*43\/((-172)\/(-432)).\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 157871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7876556 rounded to 3 dps?\nAnswer: -0.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 160517 + -2456?\nAnswer: 157051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 25 = 2*k + w, 0 = 5*k + 3*w + 32. Which is greater: -2\/899 or k?\nAnswer: -2\/899","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318696857.\nAnswer: 318696857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*q - 42*q - 20169 = -171489. List the prime factors of q.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b\/(b*b\/(b\/(b**(6\/13)*b*b)))))**(2\/39)\/(b**(-9\/8))**(-49))**(-45) assuming b is positive.\nAnswer: b**(3339885\/1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n + 2. Let c be q(0). Suppose 0 = d - 2*t + 5, d - 3*t - c*t + 8 = 0. Which is bigger: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11044431 (base 5) to base 4.\nAnswer: 113221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s**3 + 3*s**3 + s**3)*(0 + 2 + 0) - 2*s**3 + 1 - 1 + (2*s - 3 + 3)*(-9*s**2 + 3*s**2 - 7*s**2) as m*s**3 + t*s + i*s**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2130 and 3550.\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 788837 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-102)\/120 + (-14)\/35?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92220 and 3180.\nAnswer: 92220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3906*j**2*k**4 + 8400*j**2 - j*k**3 + 2*j*k**2 + 2*k**4 - 2*k wrt k?\nAnswer: -93744*j**2*k - 6*j + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23282*b - 11393*b - 344781 = 0 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 4*o**2 + 2*o. Suppose 0 = 2*g - 0 + 12. Let f(i) = -i**3 - i. Let y(h) = g*f(h) - 2*b(h). Factor y(w).\nAnswer: 2*w*(w - 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1 - 23*h + 1.\nAnswer: -23*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/62 and -121\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15101 + 58389. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**5\/12 + 145*h**4\/24 + 115*h**3 - 1625*h**2. Factor q(a).\nAnswer: 5*(a + 6)*(a + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09384 - -0.071. Round o to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61460 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 20 = -5*a. Suppose a*o - 4*o = 2. Let b(g) = g**2 - 4*g**3 + g**2 + 4*g**3 - 2*g**3 + o*g. Determine b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11000 and 10175?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3677172 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12719\/158*(3\/(525\/(-20)))\/((-4)\/10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16695483?\nAnswer: 3, 7, 795023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 1. Calculate the lowest common multiple of x and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13600 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1, -22, -95, -250, -517, -926?\n\"Answer: -5*x**3 + 4*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eep. Give prob of sequence ep.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -10*2\/(-12)*3. Let c(o) = -o**2 + 5*o + 2. What is the units digit of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q + 11. Let r(k) be the second derivative of k**2\/2 + 7*k. Determine -22*r(o) + 2*t(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 36368219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 53*a**2 - 1599*a + 11185. Determine x(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 28*p + 20. Let j(o) = 2*o**2 + 12*o - 4. Let g be ((-1)\/(-2))\/((-58)\/28 - -2). Let w be j(g). What is the tens digit of i(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + (sqrt(833) - (1 + sqrt(833))))*-4 - (0 + (sqrt(17) - sqrt(153)) - (sqrt(17) + (sqrt(1088) + -1)**2)).\nAnswer: -41*sqrt(17) + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**3 - 8*m**2 - 6*m - 3. Let u be b(-5). Is (3 - u)*(2 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 213 = -h, 3*q - 2*h + 151 = -6. Let n = 721 + -626. Let x = n + q. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -42*t**2 + 250*t**2 - 203*t**2. Let m(s) = 1066*s**2 - 143. Let o(g) = -15*g**2 + 2. Let k(w) = 2*m(w) + 143*o(w). Give b(k(l)).\nAnswer: 845*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 5\/4, -4319?\nAnswer: -4319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**3 - 4*v**2 - 2*v - 5. Let z(y) = 3*y**3 + 5*y**2 + y + 6. Determine -4*t(m) - 3*z(m).\nAnswer: -m**3 + m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.9 and -7404.\nAnswer: 14067.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x**3. Let v(z) = -8*z**3 + 105*z**2 - 3*z. What is -3*g(l) - v(l)?\nAnswer: -l**3 - 105*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*h + 0*h**4 - 31*h + 3*h**4 wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.22 + 0.52. Let o = 275 - 292.1. Let f = 17 + o. What is the third biggest value in f, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 106746650*k**4 + 45880364 wrt k.\nAnswer: 426986600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/10  (b) -1  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03662651 + -3.66335629. Let i = q - -3.7. Round i to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g + 19. Let s be z(8). Calculate the smallest common multiple of (s\/(-9))\/((-3)\/54) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.0968360104 rounded to 4 decimal places?\nAnswer: 2.0968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s - 0. Let y = s - 2. Let g(q) = 6*q**2 + 3*q + 2. What is the remainder when 19 is divided by g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30\/45 - (0 - -3 - 3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -370 + 715. Let h = -289 + b. Are h and -0.4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 4*a**2 - 3*a + 4. Let q be y(5). Let r = q - 9. Solve -10 = f + 4*h, -2*h + r - 1 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u + u)*(-1 + 1 + u) + (-u + u + u)*(u - 2*u - u) + u**2 + 0*u**2 + 0*u**2 + (-3*u**2 + 2*u - 2*u)*(0 + 1 - 3).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11 + 18 + (18 - 75) + -4 + -2\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = h + 1, -45*h + 50*h - 10 = -5*f. Is f less than 3\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(315) - (-1*(sqrt(315) + -3*sqrt(315)) + sqrt(315) - sqrt(315)))\/((sqrt(50) - (sqrt(50) + sqrt(450)))\/sqrt(10)))**2*-2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -k + 5*o - 64, -9*k = 12*o - 123 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -17953.\nAnswer: -8\/17953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, -0.02, -5, -369, -2\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 30 = 2*h. Solve h*r = 8*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.203 + -0.133. Let z = -3.369 + -0.631. What is the nearest to 4 in f, -3, z, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 249447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 107, 462, 1061, 1904, 2991, 4322?\nAnswer: 5897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -52178, 45 in decreasing order.\nAnswer: 45, -3, -52178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2\/5 - 3156*d\/5 + 86614 = 0. Calculate d.\nAnswer: -1705, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 1072 = -1081. Let n be 3*-2*(-1)\/3. Let v = 8 + -5. Solve -h*k = -15, -5*k = -n*f - v*k - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13325452 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: Let o(h) = -h**3 - 3*h**2 + 3*h. Let k be o(-4). Let d(s) = -s + 2. Let p(b) = 3*b. Let v(l) = 6*d(l) + p(l). Let r be v(k). Which is smaller: -2\/35 or r?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l. Let u(n) = n**2 - 24*n + 8. Let w(b) = -2*s(b) - u(b). Let x be w(10). What is x rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**7\/1680 - v**6\/720 + v**5\/20 - v**2. Let w(s) be the third derivative of g(s). Let x be w(1). Solve 0 = x*d - 4 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 20. Let h = 8 + u. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1210*r**3 - 1448*r**2 + 50*r + 14058 wrt r.\nAnswer: -7260*r - 2896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 - 0. Sort y, -5, 4 in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14*(-1 + 2)*-1. Let o = 1 - 5. Let a be o\/k - 24\/(-14). Solve 0*b + 8 = a*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grgurxo. Give prob of sequence ox.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 0 - 5\/((-678)\/36 - -18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (j + 9*j + 2 - j)*(-2*j + 2*j + j**3) as y*j**2 + n + c*j**3 + h*j**4 + k*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (4 + -9 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.36*-39\nAnswer: -53.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1318*w**5 + 9*w**4 - 2*w**2 - 16597*w - 1 wrt w?\nAnswer: 26360*w**3 + 108*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/z**(-2\/3)))\/(z*z**(-4)*z))\/((z**3*z)\/(z**(5\/3)\/z)) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (28 + 1)*6\/(-6). Let j = -58 + 74. What is the highest common factor of k and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x**2 - 13*x**2 + 3*x**2)*((0 - 1 + 3)*(-4*x - x + 3*x) + 0 + 0 - 2*x).\nAnswer: 102*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 8*r - 11. Let v be t(8). Let i = 28 - v. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + 13. Suppose -4*f + 3*m = -s - 64, -82 = -5*f - 2*m. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*v - 24*v - 336 = 0. Let q be v\/16 - (-3)\/8. What is the second biggest value in 0.4, q, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -853*c - 377. Let o(l) = 707*l + 376. Determine -6*o(q) - 5*w(q).\nAnswer: 23*q - 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4326.3 - -4025. Let m = x - -301.300001547. Round m to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1950\/(-585)*(-36)\/440\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-116)\/1624*1\/((-2)\/(-91))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c. Let a(p) = -p + 2000. Let x(r) = a(r) + 2*s(r). Let v be x(0). What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 232026 is divided by 232021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-669)\/12)\/(5 + (-105)\/20). Is h bigger than 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - i + 7. Calculate k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(539)*-2 + 2 + -4*(5 + (sqrt(539) + 0)**2).\nAnswer: -2179 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4996 - 12975.1. Round z to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(19) + ((-3*sqrt(76))\/sqrt(4) - sqrt(19))) + (sqrt(152)\/(sqrt(8) - (-2*sqrt(8)*3 + sqrt(8))))**2)*-3.\nAnswer: -19\/12 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**2. Let g(a) be the second derivative of -a**5\/15 + 5*a**2\/2 - 34*a. Let k(v) be the first derivative of g(v). Give n(k(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 44\/8 + (3 - (-5)\/(-2)). Suppose -2*s + b*s = -r + 56, -4*r - 16 = 0. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36386124?\nAnswer: 2, 3, 3032177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -9197 divided by 541\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**2 - 39*f - 315. What is y(-9)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*i + 2*y = 28*i + 5, -y + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 6*x - 33778 = 0, 2*z + 713*x = 714*x + 13514. What are the prime factors of z?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 213\/5 - 43. Which is the closest to 1\/2?  (a) k  (b) 4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3b0 + 2?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1821, 0, 3.6, -87, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**5\/7 + 4*s**4\/7 + 20*s**3\/7 - 20*s**2\/7 - 16*s\/7 + 16\/7 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 12. Let r be -6 - (3 - 4 - t). Which is bigger: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 11*x + x + 0*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (82\/17630*-43)\/(2\/(-430))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, u: 6}. Give prob of sequence ddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/2061 and -55\/46716?\nAnswer: 140148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 2*d**2 - d. Let x be r(-2). Let c = 7 - 10. Let y be c*(-2 + 3 + -2). Is x bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30572 (base 9) to base 5.\nAnswer: 1121103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -21, -9\/28, -843?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2590 and 1890.\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 258 + 129. Let t be ((-2)\/10)\/(-9 + x\/45). What is the nearest to 2 in 2, -5, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -128, -169, -248, -377, -568?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 0.2  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -169 and 850?\nAnswer: -143650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**2. Let b be 3 + -8 - -2 - 6\/(-2). Let n be 0 + b + 2 - (3 + -1). Let x(j) = 20*j**2 + 11*j**2 + 15*j**2 + n*j**2. Give f(x(a)).\nAnswer: -4232*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 103001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -15*l**3 + 11*l**2 + 37*l + 7. What is y(-3)?\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 18\/2460169?\nAnswer: 18\/2460169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*z = 20. Let o be 4*(-1)\/(-30)*z. Let n = 4872 + -4872.13. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 731826 divided by 327?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 5.12 and 0.03.\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-27)\/(-2) - (-3)\/(-6). Suppose -5*j + z + 7 = 0. What is the common denominator of 121\/6 and 1\/j - (-76)\/(-144)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -732779\/5021742 - -28\/6917. Calculate the common denominator of r and 25\/198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/4?  (a) 1\/18  (b) -0.032  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -4*y**2 + 85*y + 180. Determine p(22).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 6:37 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*z = 6157 + 2303 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20292.298524 + 0.07.\nAnswer: -20292.228524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + be3229?\nAnswer: be322a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10434401 (base 5) in base 8?\nAnswer: -265655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*(-12)\/(-80)*(-1)\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 307 - 306.8. What is the closest to -0.1 in -1\/3, 3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 190 and 76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b + 11. Let i be l(-4). Let z be i*3*4\/(-3)*1. Let k be (-2)\/(-5) + 36\/10. Solve -z*a - 13 = 5*p, -6*a - 5 = -a + k*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 17*l**2 - 44*l - 21. Calculate f(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/(-1008))\/((-12)\/28)*-380.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -0.52?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15379164.\nAnswer: 2, 3, 29, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence amc when three letters picked without replacement from {r: 1, m: 2, x: 9, c: 6, a: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 + n**2 - 3*n**2)*(0*n + 0*n + 2*n) - 29*n**3 + 18*n**3 - 30*n**3.\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 12:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*w**5*z**3 - 114545*w**5 + 1365*w*z**3 - 28*w*z + 28*w wrt w?\nAnswer: 1260*w**3*z**3 - 2290900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 40\/22 + 2492\/154 + -16. Suppose 3*r = -2*o - 7, 0 = 4*r + o - 2 + 3. Solve -4*w - b*m = -10, m + r = 2*w - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**6 + 39284*a**4*v**3 - 8*a**2*v - 639*v**3 wrt a?\nAnswer: 120*a**3 + 942816*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110111011011111101 (base 2) in base 11?\nAnswer: 632505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 2 - 15\/20)\/(396\/2112).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b. Let m = 464 + -462. Let t(d) = 7*d - 2. What is m*z(f) + t(f)?\nAnswer: 9*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + (sqrt(475) + 0)**2 + sqrt(475)).\nAnswer: 5*sqrt(19) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19.53 - 1.53. Sort 0.5, i, 4 in ascending order.\nAnswer: 0.5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/8)\/((-7)\/56). Let u = -3 - h. Suppose 2*d = 3*w + 15, -d = -0*d + 2*w + u. Solve 3 = 2*f + q, -d*q - 4 = -5*f - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.546914055268 - -5.\nAnswer: 5.546914055268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 2237880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.89221 - 0.10779. Which is the nearest to -1\/3?  (a) -1\/51  (b) 0.3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42343.047ns to days.\nAnswer: 0.0000000004900815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 - 4 + s**3 + 6*s - 20*s + 4*s**2 + 22*s to u*s**2 + a*s**3 + c + y*s and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.36798, 5, -1\/2 in increasing order.\nAnswer: -1.36798, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, x: 5}. What is prob of picking 2 i and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1870444, 1870443, 1870442, 1870441, 1870440?\n\"Answer: -j + 1870445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6316.449 micrometers to millimeters.\nAnswer: 6.316449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -299866 + 7520939144\/25081. Let s be (-22999697)\/(-877835)*(-1)\/6. Let v = x - s. Find the common denominator of -149\/12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q - 4*q**2 - q)*((1 - 5 - 7)*(-5 - 3 + 3) - 1 - 3 - 9) to the form m*q**2 + n*q + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6472 + 6751. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 2*m**2 - 2*m + 1. Let b be v(1). Suppose 0*x + b = -x. Let u(g) = 16*g**2 - 8*g - 3. Is 23 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396738649 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**2 - 50*p + 51 = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22.2 + 26. Let v = 0.8 - f. Let k = 0.873 + -1.173. What is the smallest value in k, -12, 0.2, v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -1987*p**4\/2 - 4*p**3\/3 - 5*p**2\/2 + 21*p - 3264. What is the third derivative of z(t) wrt t?\nAnswer: -23844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k + 8*k - 3*k)*(355 + 150 - 278)*(-2*k - 3*k + 6*k) in the form h*k + w + s*k**2 and give s.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2993728 by 1856.\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/1560 and (-25)\/39 + ((-24)\/(-30) - (-12)\/(-240)).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7105, -29091, -65715, -116977, -182877, -263415, -358591?\n\"Answer: -7319*v**2 - 29*v + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((237\/395)\/(1\/5))\/(15\/20). Let v(i) = i**3 - 8*i**2 + 17*i - 6. Give v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -660.5 - -667. What is the biggest value in -2, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 2*d - 1. Let k(s) = 3*s**2 - 5*s + 2. Let h be (-22)\/(-10) + (-44)\/220. Determine h*k(j) + 5*q(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t + 72 = 132 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -1 + -3 + -4 + (-30 - (43 - 4))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -5*w. What is c(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - q = 25. Suppose 3*g = 4*g + 2*k, -q*k + 10 = 0. Let h(w) = w - 4. Determine h(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*y = 0, -8 = -2*r - 5*y. Suppose 0*m - r*m = -8. Let b be ((-7875)\/27)\/(m\/3840). Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/40*-2 + 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e6a - 1?\nAnswer: 1e69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 64*o = 432. Let x be -5 - (-9)\/2 - 4\/o. What is r in x - 1\/3*r**3 + 0*r + 1\/3*r**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1175*-1.\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**3 - 118*i**2 + 41*i - 66. Determine u(39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(63) + ((sqrt(448)*1)**2 - (sqrt(7) - -6*sqrt(7)*-2)))*-2.\nAnswer: -896 - 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4*-2*sqrt(7)*2 + -4 + -3*sqrt(343).\nAnswer: -5*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 15*s**2 - 4. Let n = 142364 - 142348. Calculate the remainder when p(4) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y. Suppose -j + 3 = -3*b, 6 = 2*j - 0*b + b. Let o(a) = -9*a - 8. Let d(g) = -2 - g + 1 + 1 - 1. Let f(h) = j*o(h) - 24*d(h). Give f(z(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.01 - -0.2. Let i = 0.09 + m. Let u = i - 0.3. Which is the closest to u?  (a) 0.1  (b) -5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.19 - -0.09. Let w = -0.11 + 0.41. Let x = w - z. What is the third smallest value in 0, x, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26484, -52967, -79450, -105933, -132416, -158899?\nAnswer: -185382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*z**5 - 46*z**3 - 2*z + 1.\nAnswer: -40*z**3 - 276*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 628*(4\/14)\/((-8)\/(-7)). Suppose 2*s = -3*n + 388, -s + 47 = 4*n - i. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + 10, 0*q + 37*u - 20 + 4 = 6*q + 32*u + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 38 - 3*k + 0*k**2 + 0*k**4 - 47\/5*k**5 + 0*k**3. Find the first derivative of l(r) wrt r.\nAnswer: -188*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.12 - 2.12. What is the fourth smallest value in a, -1\/6, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from araaaaaaraaaraa. What is prob of sequence ar?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/307248 and 25\/307248.\nAnswer: 307248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 102, 444, 1024, 1848, 2922?\n\"Answer: z**3 + 113*z**2 - 4*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4244746845?\nAnswer: 3, 5, 282983123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 396058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**4 - 42*r**3 - 303*r**2 + 728*r - 384 = 0.\nAnswer: -8, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 22 - 24 + 23*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/1)\/(((-6)\/4)\/(1281\/(-244)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1106*s**3 + 1108*s**3 - 28896*s**2 + 28896*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13365 or -13361?\nAnswer: -13365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*j = 14 + 16, -2*f + 32 = 5*j. Let c = f - -3. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {n: 4, g: 4, a: 1, j: 1, v: 3, z: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, p: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -395, -650, -889, -1112, -1319?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 913155037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1791 divided by 1791\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 10*r**2 - 3 - 25*r**2 + 14*r**2 + 6 - 27*r. What is the tens digit of b(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9331, -9303, -9265, -9223, -9183, -9151, -9133, -9135?\nAnswer: -9163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2 + l + 5349999*l**2 + l - 3*l + 2*l. Let v be (-2)\/1 - (-8)\/2. Let o be p(v). What is o rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 - -72. List the prime factors of (k\/(-7))\/((-46)\/(-6601)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 427*h - 408*h = 95. Which is the second biggest value?  (a) 0.081  (b) h  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2525967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 7:23 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-10) - 24\/(-10). Suppose -r*o = -0*o + 4. What is the third biggest value in -0.1, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of w**5\/50 - w**4\/60 - w**3\/10 + 10*w + 51. Let m(b) be the first derivative of p(b). Factor m(z).\nAnswer: z*(z + 1)*(2*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of 139*a**6\/30 + 9*a**5\/20 + a**4\/4 - 253*a**2\/2 + 2384*a. Find the third derivative of j(c) wrt c.\nAnswer: 3336*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (16 + 7*c + 17 - 32)*(-2*c**2 + c**2 - 3*c**2) as g + d*c**3 + f*c + o*c**2 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1102 or -16284?\nAnswer: -1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 549\/1897 - 1\/271. Which is the closest to -3?  (a) -0.2  (b) 0.1  (c) x  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 + -50.4. Let p = k + -4.6. Let y = -14 - p. What is the nearest to 0.1 in -4, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3420.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 746*q + 82722 = 29756 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -12*a - 297. Determine g(-15).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 225826418 to the nearest integer?\nAnswer: 15028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**5 - 15*o**4 - 15*o**3 + 15*o**2 + 18*o = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1186 + -1166. Which is the nearest to 0.6?  (a) 2\/7  (b) l  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -3. Let j = 8 - 11. Let g = -2 - j. Solve o*q + 4*n - g = 2, 5*n = -5*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17829.36457 rounded to the nearest 100?\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**4 + 0*x**4 + 0*x**4 + (x + 1 - 1)*(2*x**3 + x**3 - 4*x**3) - 788*x**2 - 10*x**4 + 788*x**2.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 6:55 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 3*g + 6, 2*m - 4*g - 50 = -48 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + -3*(sqrt(55)\/(-1*sqrt(11)) - sqrt(5)))*5)**2 - (-3*sqrt(10)*3)\/sqrt(450).\nAnswer: -4497*sqrt(5)\/5 + 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2765.05 times 0.086\nAnswer: 237.7943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4*z + 2970. Determine i, given that 4*i**4 + 591*i**2 - z*i**2 - i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j + 23051 - 12*j - 11526 - 11525 - 5*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -5*d - 207, -245*c + 240*c + 4*d + 243 = 0. Solve -c*j = -4*x - 47*j + 16, -2*x = -5*j - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/40 and (-207)\/56*130\/(-3315).\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40141 - 21739. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - -0.1. What is the third smallest value in 3\/7, u, 0.3, 3\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 213 - 17. Let q = d + -47. Calculate the remainder when q is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.6*-922614.\nAnswer: 5166638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - 0) + -1823 + 1831\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38a91 (base 12) to base 11.\nAnswer: 53319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3341.\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 164326760*h*r**4 + 27*h*r + 4*h + 181*r - 59 wrt r.\nAnswer: 1971921120*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**5\/7 + 110*h**4\/7 + 920*h**3\/7 + 2200*h**2\/7 + 960*h\/7 - 1152\/7 = 0 for h.\nAnswer: -12, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 18970 divided by 51\nAnswer: 18970\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2767981214 and 0.4.\nAnswer: 0.1232018786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 15*n**3 + 10*n**2 + 15*n - 5. Let x(a) = 7*a**3 + 5*a**2 + 7*a - 2. Let y(i) = 6*p(i) - 13*x(i). Let f(h) = h + 3. Let v be f(-8). Determine y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24632 - 24633. Let l be (-1)\/(-3) - 303\/747. Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hi when two letters picked without replacement from iihihiiii?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 2274 = -3*t, -t - 244 - 214 = -u. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.01 and 16016.1810514482.\nAnswer: 16016.1710514482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from vvvf.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (4\/6 - (-5)\/33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 16137.431?\nAnswer: 16137.431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/11)*c\/(c*c\/(c\/c**(2\/5))))**(11\/4) assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138697 is divided by 510.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 876 and 3212?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539 is divided by 244.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720 (base 9) in base 5?\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {k: 2, b: 1, i: 1, s: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand f**2 - f - 2*f + 4*f + (324*f - 632*f + 323*f)*(-1 - 5*f + 1).\nAnswer: -74*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6447641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 40*r**5 - 129*r**4 - 398*r**3 + 159*r**2 + 268*r + 60 = 0.\nAnswer: -2, -2\/5, -3\/8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**4\/15 + 274*n**3 - 57212*n**2\/15 + 43456*n\/5 + 522496\/15 = 0.\nAnswer: -2, 8, 2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1052575 divided by 5?\nAnswer: 210515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**2 + 2*c**2 - 2*c**5 + (-2 + c**4 + 2)*(-c - c + c) + 3*c**5 - 2*c**5 - 2*c**5 + (-5*c + 3*c + 0*c)*(3*c - 3*c - c**4) - 3*c + 8*c**5 + 3*c.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + -25\/2. Find the common denominator of 51\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - j**2 - 2*j. Let s(g) = g + 10. Let q be (-3*(1 - 0))\/(15\/40). Let w be s(q). What is t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -24) + 6 - 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.096 and -6.\nAnswer: -6.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 - (-1 - (180 + -93)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0326 in -3, -0.2, 12\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.4 + 232. Let y = -141.2 - l. Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**3)\/m)\/m**(-6)*((m**(1\/4)\/m)\/m*m)**15)\/((m*m**1)**(1\/12)*(((m*m**(-2)\/m)\/m)\/m)**(1\/37)) assuming m is positive.\nAnswer: m**(-1025\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(2\/23)*q**(-1\/7)*q**1\/(q*q**(-6))*(q**0)**(-20)*q**(-2\/7)\/q**(2\/11) assuming q is positive.\nAnswer: q**(11470\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/7  (b) 0  (c) 0.4  (d) -4\/17  (e) -1  (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -625, -4514, -14779, -34534, -66893?\nAnswer: -114970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + z**2 - 1. Let f = 21 + -23. Calculate the remainder when k(3) is divided by (0 + 19)*(-1 - f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1120 + 14?\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 42.14315 centuries?\nAnswer: 50571.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4aa9c - 404?\nAnswer: 4a698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**3 - 27*c**2 + 4*c - 20. What is l(13)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 1 - (2 + -5). Let j = -5 + 7. Let i(f) = -f**3 - 17*f**2 - 13*f + 44. Let t be i(-16). Sort j, t, a, 1.\nAnswer: t, a, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*w - 2, 6*q - q + 6 = -4*w. Suppose -5*o + 7 = 2. Let n(j) = j + o - 3*j**2 - j - j. Determine n(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*w + 0 = 15, b + 4*w + 20 = 0. Let u be 1 - 4\/10*1. Let 0*c + 0 - u*c**3 - 3\/5*c**4 + b*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + 63. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000006782 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060 a factor of 1300981133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-48) + (-17)\/4. Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -252, -502, -762, -1038, -1336, -1662, -2022?\nAnswer: -2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 937263, 937262, 937261, 937260?\n\"Answer: -n + 937264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3965043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49228359*x**3 + 2*x - 8340326 wrt x?\nAnswer: -295370154*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.09 - -0.59. Let m be 138\/56 + 30\/(-40). Sort -2\/11, m, t, 0.1 in increasing order.\nAnswer: -2\/11, 0.1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/8)\/((-42)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 561 + 478 - 1637 = 667*l + 1403 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 14189988 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 4*l + 3. Let u be y(-2). Let b(t) = -t + 2 - 3*t**2 - 5*t**3 - t + 4*t**u. Is 5 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + 4. Suppose -4*s - 12 = -u*s. Suppose 76 = s*c - 3*g - 26, c + g - 28 = 0. Solve 7 = -3*v - 2*h, 4*h - c = 2*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - 4*y + 0*y + y + 0*y + 4*y - 159 - 8*y + 159 + (-3 + 4 + 0)*(2*y - y + y) - 27*y - 385 + 385 in the form h + r*y and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/8 - 17*p**2\/8 - 9*p.\nAnswer: -p*(p + 8)*(p + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -695 and 0.5?\nAnswer: -347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/2376 and 59\/72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -161 * -0.12.\nAnswer: 19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - ((-281 - -281) + (-3 - 18)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 602*x + 135 = -263 - 204 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 87525*s**4 - 54*s**2 + 505?\nAnswer: 2100600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346 is divided by 139?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 1)\/((-3)\/9). Let s be 180\/h*(-1 + 2). Suppose -3*p + u + s = 4*u, 5*u - 12 = -p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 5*i - 58, z + 3*i - i = -1. Let k = 11 + z. Let t be -2 + 2\/(-20) + 2. Are t and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 2*l - 8, 2*l - 4 = -4*o - l. Let p = -1 + o. Suppose y - 6 = -p*f, 3*f - 6 = 3*y + 2*y. Sort -5, 5, f in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-5))\/((-3)\/45) + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3d - -78?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -5) + -14 - -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 9*o**5\/4 - 47*o**2\/2 - 44*o + 26. Let n(l) be the first derivative of s(l). What is the derivative of n(k) wrt k?\nAnswer: 135*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/30178606 and 87\/74?\nAnswer: 30178606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 70631 divided by -3?\nAnswer: -70631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 92490903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 11:01 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 - 25. Solve 0 = -p*w + 7*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 10*n + 2376483 - n**3 - 2376428 - 7*n.\nAnswer: -n**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 96 = -a + 5*a, -5*g = -2*a + 69. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 6:56 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*j**3 - 5*j**3 - 2 + 22*j**3.\nAnswer: 28*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 7*k**5\/30 - 3*k**3\/2 + 4*k**2. What is the derivative of l(z) wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*15\/(-3) - -858 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(3\/3)\/(-1). Suppose -13143 = -623*t - 11897. Let -2\/7*c**t - 22\/7*c + z = 0. Calculate c.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 8*y - 6 = 4*x, 5*y + 3*x - 15 = 0. Let q(w) = 88*w + 15. What is the units digit of q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 13*j + 16. Let o be f(-12). What is the third smallest value in 7, o, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78b8ca (base 15) to base 14\nAnswer: -a9d060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j + 2188 = 151*j - 6474 - 1908 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 534 and 15889971?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 + 203 = 9*n. Solve 4*p + 4*f - 26 = p, n*p + 1 = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 7. Does 15 divide ((-2)\/(-2))\/y + 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 411*u - 408.\nAnswer: -3*(u - 136)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -9 + (9 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j - j - 8*j**2 + 6*j. Let g(a) be the third derivative of -1\/30*a**5 + 0*a**3 + 4*a**2 + 0*a**4 + 0 + 0*a. What is g(h(r))?\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -152, -2, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 4*p = -4*o + 15, 2*o + 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/3)\/((-225)\/(-27) + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/1274 and -43\/168462?\nAnswer: 2190006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + h + 1494 = 0, n + 5*h - 4450 = -2*n. List the prime factors of n.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbajejhejjheejjah. What is prob of sequence hajb?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -30611, -58811, -87015, -115223?\n\"Answer: -2*i**2 - 28194*i - 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r and 1 p when four letters picked without replacement from {p: 7, c: 3, r: 3, q: 2}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/18 and 65\/3426?\nAnswer: 10278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 8  (b) -0.06  (c) -0.5  (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g - 1. Give c(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 34 and -0.148.\nAnswer: 33.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159097551?\nAnswer: 3, 107, 439, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -29*l - 29. Let m be i(-1). Suppose -5 = 5*x, -4*o + 3*x + 15 = -m*x. Calculate the remainder when 112 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 83*h**3*y - 123*h**3 wrt y?\nAnswer: 83*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -o - 4*i, 49 = -3*o + i + 63. Solve 556*s - o = 555*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, v: 3, k: 1, e: 6, d: 1, t: 1}. Give prob of sequence pd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 25 - 2*k - 111 - 3 as v + f*k and give v.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 270134 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10693 divided by 1081?\nAnswer: 10693\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/59 + 256\/295. Which is the biggest value?  (a) 26  (b) 1\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/3 and 11\/875741786.\nAnswer: 2627225358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 7*v + 27 = 3*v, 3*v = 4*m + 61. Let y = -7 - m. Calculate the highest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 8. Let i be n(12). Let r be 0 - -1 - (7 - 3). What is the remainder when 62\/i*(r - -5) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovvaamaovtovqaaoaa. What is prob of picking 3 t and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13843?\nAnswer: 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*s**3 + s**2*z - 3*s*z - 4*z - 3 wrt s.\nAnswer: -12*s**2 + 2*s*z - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)\/sqrt(6) + 3 + 5)**2 - ((sqrt(68) - (sqrt(68) + 3)) + 4 - sqrt(68))**2.\nAnswer: 12 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 3:42 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 447 = 3*a + 468, -3*a - 42 = 5*b for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-648)\/1782*(18\/(-10))\/(-3*(-6)\/(-45))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 2*a - 24 = 0, 7*p - 11*p - 5*a - 36 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 2*z - 4. Suppose -d = 2*r - 0*d + 9, -5*r - 18 = -2*d. Let o be x(r). Let g be 8\/21 + 1 + o\/(-6). Is g > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of a**4\/12 + 34*a**2 + 2*a. Let j(c) = 4 + 31*c - 39*c - 1. Determine g(j(v)).\nAnswer: -16*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**3 + 4*p**2 + 14*p - 25. Is s(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14*(5 + 10760\/(-1470) - 231\/(-99))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z**2 + 532*z - 530. Give w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 2*s + 12 = 0. Suppose -v = -0 - s. Which is smaller: v or 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13268\/3 + (-925)\/555 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**5 + 339*l**4 - 118182*l**3 + 1037136*l**2 - 919296*l = 0 for l.\nAnswer: -266, 0, 1, 8, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 13*h**2 + 11*h - 13. Let i(b) = -b**2 + 9*b - 7. Let j be i(6). Let f(s) = -7*s**2 + 7 + 6*s - 4*s - 8*s. What is j*f(o) + 6*v(o)?\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23235 = -5*z + 366285. Round z to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 34*i - 7. Suppose 0 = l + l - 5*u - 6, 4*l = -4*u + 40. Is q(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 1. Let u(s) = -10*s + 8. Let j(d) = -3*u(d) + 21*w(d). What is the first derivative of j(a) wrt a?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215850.\nAnswer: 2, 3, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5.533 * -0.909\nAnswer: 5.029497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -180*h + 119*h - 366 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 + 0.4. Suppose -5*d = -d - 12. Let s = -45\/4 + 127\/12. What is the second smallest value in r, s, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 23 in increasing order.\nAnswer: -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2421547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((((sqrt(1300) + 0)*3)**2 - (sqrt(1300) + 0 + -4)) + -4 + ((-1*sqrt(1300)*-3 + sqrt(1300) + sqrt(1300) - -1*2*sqrt(1300))*4)**2).\nAnswer: -5154500 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7230?\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -137 - -139. Suppose 0 = -22*u - s*u + 1488. What is the least common multiple of 20 and u?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, i: 12}. Give prob of picking 3 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o**2 + o + 6. Let j = -2 - -4. Let b(v) = -v**2 - v + 1. Let p(d) = j*b(d) + l(d). Let f be p(0). Solve -4*z = -f*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 2*a + 440. Suppose 3*s = -2*c - 8 - 4, -4*c + 4*s = -16. Is g(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of 3*k**4 + k**3\/3 + k**2\/2 - k + 2. What are the prime factors of p(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y + 21. Calculate w(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -11*n**7\/105 - n**4 - 5*n**2 + 19*n. Let u(c) be the first derivative of m(c). What is the second derivative of u(l) wrt l?\nAnswer: -264*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -318*i - 53544 = -62130 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 175, 911, 2897, 6757, 13115?\nAnswer: 22595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 7 = c + o, 0 = 5*c + 4*o - 80. Suppose 0 = -4*h - 8, 5*y + 8*h = 7*h + 68. Calculate the lowest common multiple of y and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7694954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 2*j + 402. Calculate t(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 2*i - 4758, -3*g + 4*i + 4764 = 2*g. What are the prime factors of g?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*v**5 + 19*v**4 - 26*v**3 - 76*v**2 - 24*v.\nAnswer: v*(v - 2)*(v + 2)**2*(8*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 99814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 55855\nAnswer: -1\/55855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 138, 279, 436, 585, 702?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = 2*d + 3*d. Suppose d = a - 4*u, 5*a - 238 = -0*a - u. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68061686 to the power of 1\/2, to the nearest integer?\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8712, -34863, -78442, -139443, -217860?\nAnswer: -313687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1161864l to millilitres.\nAnswer: 116.1864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s - 1264. Let i(v) = 3*v**2. Determine i(u(a)).\nAnswer: 27*a**2 + 22752*a + 4793088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {l: 2, h: 1, x: 2, e: 1, d: 1, t: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 507 and 6011?\nAnswer: 3047577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4592418929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60.74 + 61. Let k = 10 - 10.27. Let t = k + q. What is t rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 42 = 6*g. Suppose -2*c - g*a - 3606 = -5*c, 0 = -4*c - 4*a + 4800. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (-3 - -69 - 53)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 2:58 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*((-2)\/4)\/((-6)\/4). Suppose 0 = -4*s + z - 9, 4*s = -3*h + 46. What is the lowest common multiple of 4 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1918 = -2*l + 2*o, -2*o + 950 = 13*l - 12*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002942 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.6  (b) 0.1  (c) 1  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/14 and 19\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrapzzsarapa. Give prob of sequence apza.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 610786554 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3131217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 16630040 rounded to the nearest 100000?\nAnswer: 16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - 18*v + 66. Calculate j(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43703969.\nAnswer: 2089, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(1\/7)*q*q)\/q)\/q**6)**(6\/13)*(q**(2\/5)*q**(-8)*q)**35 assuming q is positive.\nAnswer: q**(-21195\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2816440 is divided by 2816421.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -57 + 65. Suppose 0 = -2*w + 4*r + 970, -5*r = -p*r. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 963 + 415. Is (4 + v\/(-8))*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69633.\nAnswer: 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {t: 4, w: 2, i: 3, s: 2, u: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, r: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -31*d**2. Let z(a) = 25*a**2. Calculate b(z(m)).\nAnswer: -19375*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 31 = 4*x + 5*b, 20 = x - b. Let l(w) = w**3 - 14*w**2 - 16*w + 9. What is l(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69 + -72. Which is the fourth smallest value?  (a) i  (b) 0.01  (c) -3\/2  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/4 + 33\/20. Is f at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)\/p)\/((p\/(p\/(p**(11\/4)*p))*p)\/p*p)*(p**1\/p)**(1\/4) assuming p is positive.\nAnswer: p**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 648*u + 2580. Calculate l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 211 = 5*s - 420, -4*k + 164 = 4*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 16 + 5 + (3 - 2 + 0)*(-1 + 1 + 6))*(s**4 + s**2 - s**2).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/(-10) - 1\/15*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 831 - 121*q**3 - 831 + (2*q - q**2 + 4*q**2 - 6*q)*(-q - 3 + 3).\nAnswer: -124*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62 + 82*z**2 - 67*z**2 - 20 + 82 - 17*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-192)\/32*43\/(-39))\/((-26)\/(-169))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1739 - -3106. Is b a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 7*j. Let d(x) = 1232*x. Let i(k) = 23*k. Let c(f) = d(f) - 48*i(f). What is c(g(p))?\nAnswer: 896*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 - 281180*b - 3953109620.\nAnswer: -5*(b + 28118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (28\/(-8))\/((-1)\/2). Let q(p) = -11*p - 4 - 4 + 17*p**2 - 12*p**2 - 16*p. Let m be q(i). What is the highest common divisor of m and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002198 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - 7*a**2 + 1. Let c be v(-7). Let m be (4 - 3)\/(c - 0). Calculate the highest common factor of 11 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 438, 10, -5, -141 in increasing order.\nAnswer: -141, -5, 10, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56, -144, -232, -320, -408, -496?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/33 and 167\/252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 2, h: 2, d: 9, j: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -13*l - 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 3:28 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1799 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 2:54 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxgxxxxxxgggx.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*l - 3*w + 40, w - 44 = -4*l. Let j be (-480000)\/2*3775\/l. What is j rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.48182 to two dps.\nAnswer: -4.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2335, 9278, 20839, 37024, 57839, 83290?\n\"Answer: r**3 + 2303*r**2 + 27*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(1\/5)*r*r)*r)\/r)**(-3)*((r**20\/r*r)\/r*r)\/r**(8\/3) assuming r is positive.\nAnswer: r**(359\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.29 - 0.01. Let x = m - 2.7. Let j = 4 - 1. Which is the third smallest value?  (a) x  (b) 1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, a: 3, i: 7}. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -442 = 5*k - 2*l + 30, -200 = 2*k + 2*l. What is the units digit of 72\/k - (-399)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1494, 1, 4 in increasing order.\nAnswer: -1494, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 924 + -1102. Which is the third smallest value?  (a) 2\/13  (b) 0.2  (c) u  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 59*s - 1200.\nAnswer: (s - 75)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -7*w + 2*w. Solve -13 + w = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2219, 16388, 53657, 125198, 242183?\nAnswer: 415784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 497, 496, 495?\n\"Answer: -r + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 120 = -4*a. Let p be (-24)\/(-4)*35\/(-10)*a. What is the greatest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -y**4\/12 - y**3\/6 + 3*y. Let m(v) = -v**2 - 6*v - 8. Let g be m(-4). Give o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1025 - 1344 - 6*w - 58 + 4*w**2 + 10*w**2 with respect to w.\nAnswer: 28*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121.949 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 99 and 2574.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10684*z - 3129*z - 10917*z - 7992*z.\nAnswer: -32722*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 8:51 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o. Let p(w) = w + 2. Let i be p(-2). Suppose -4*g + 4*t = -20, i*t - 9 = 3*t. Let h(q) = q**g + 2*q**2 - 2*q**2. What is h(k(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*j + 0*j = -459. Suppose -j = -9*y + 28. Solve -10*d - 5 = -y*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a factor of 15580303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/17*4\/6. Let p = -3249 + 3251. Is r > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-34 - (5 - (4 + -2 + 5))) + 8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17aebe (base 16) in base 14?\nAnswer: 2c5898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 9, j: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 3*b + 1. Let y be u(-4). Let s(w) = 2*w - w**2 - 4*w + 1 + w - y*w. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 3*k. Suppose -2*y + 1 = r, -4*y + 30 = 33*r - 35*r. Let c(a) = 0 - 2*a**2 + 0 + 7*a. Determine r*p(t) - 3*c(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**4\/24 - y**3\/2 - 3*y**2. What is the smallest common multiple of 8 and d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 29212528 and -141488?\nAnswer: 29354016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5615, -22427, -50431, -89615, -139967, -201475, -274127, -357911?\nAnswer: -452815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**2. Let t(i) be the second derivative of -1 + 0*i**2 + 4\/3*i**3 + 7\/12*i**4 + 23*i. Determine o(t(n)).\nAnswer: -98*n**4 - 224*n**3 - 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v\/v**27*v)*v)*v)**(-9\/10) assuming v is positive.\nAnswer: v**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 9:11 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.028128 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 89*o - 1330. Let y be s(23). What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tnngssnneg. Give prob of picking 1 g and 1 e.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85393808*n**2 - 85393808*n**2 - 9*n**3 + n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 0*q + q - 5 + 14. Let f be g(-7). Suppose 3*n = f*n + 4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1782704 and 222838.\nAnswer: 1782704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4722)\/(-612) - (-24)\/204 and 611\/56 + (-4)\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55\/(-22)*((-2)\/(-5) + 18918\/(-45)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from vpvpvpvvppvvv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -2*m + 33, -5032*z + 4*m = -5033*z + 61 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -78.9 * 0.063\nAnswer: -4.9707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 416\/48*3\/2. Suppose -l - 4428 = -3*b, 0 = o*b - 8*b + l - 7380. List the prime factors of b.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 11:17 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587779633?\nAnswer: 7, 83968519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 + 56 - -1) + -69.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2433, -9858, -22231, -39552, -61821, -89038?\n\"Answer: -2474*i**2 - 3*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (160\/6)\/(-20)*(-3)\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, -171, -200, -249, -324?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 329 and 931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130980 is divided by 274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -7*l**3 - 6*l**2 + 2*l + 10. Let p(z) be the first derivative of 3*z**4\/2 + 5*z**3\/3 - z**2 - 9*z + 11. Determine -5*g(r) - 6*p(r).\nAnswer: -r**3 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.081 * -0.03.\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2696982)\/(-21420))\/(-137) + 5\/6?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-4) + 13\/14. Let u = -579.99703 + 0.09703. Let n = -580 - u. What is the second biggest value in 2\/15, j, n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = v - 19, -33*v + 31*v = -2*g - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1841 = -1736. Suppose -v = 4*v - 150. Let x = v - s. What is the nearest to x in 0, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -330417, -660845, -991285, -1321743, -1652225?\nAnswer: -1982737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 299706120 to the nearest integer?\nAnswer: 17312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1871 = -3*o - 4390. Let y = o + 2984. What are the prime factors of y?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 592*n**2 + 56 + 250*n**2 - 772*n**2 - 56.\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3728 = -18*j + 2788. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 2072.\nAnswer: 22792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/7 of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-3))\/(2\/3). Let k = 1.04982 + -0.04982. What is the third smallest value in d, -2, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 0 - (-14 + 12). Sort c, -3, 4, -5 in increasing order.\nAnswer: -5, -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1153, -2119, -3091, -4069, -5053, -6043, -7039?\nAnswer: -8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 2*h = 40. Sort -5, h, -4.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4) - (-10)\/(-20). Suppose -3*g - 2*g + 885 = t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6903126 to the power of 1\/2, to the nearest integer?\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1122 - 5428. Let z = j + 47404\/11. Let x = -4\/233 - 6512\/699. Find the common denominator of z and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 1129*u**2 + 11*u + 17. Let y be x(-3). What is the third derivative of 2*a**3 - 10145 - 18*a**5 - 116*a**2 + y wrt a?\nAnswer: -1080*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j**2 - 4*j**2 - 2*j**3)*(4 - 4 - 44*j + 25*j) to d*j**2 + n*j + f*j**3 + t*j**4 + x and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6*m**2 + 17. What is h(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/t**(-2))\/t)\/t)\/(t\/t**(1\/2))*t**(2\/5)\/(t**(-1\/3)*t))\/((t**1)**(-13\/6))**(-4\/39) assuming t is positive.\nAnswer: t**(1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2111998566 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/97)\/m)\/(m*((m*m\/(m*m**(-29)))\/m*m)\/m) assuming m is positive.\nAnswer: m**(-3009\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -9655000 to the nearest 100000.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 - 21*t + 13. Give d(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 793 = 2*c + 778, -15 = 3*c - 8*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317*d - 10534 = -1975 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-320) - (-18)\/(-180)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73 + 851. What are the prime factors of c?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -10*n + 62. Let x(w) = 4*w - 31. Calculate -4*k(u) - 9*x(u).\nAnswer: 4*u + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127726?\nAnswer: 2, 63863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**5*y)\/y)\/(y\/y**(-2\/11))*y*(((y*y\/(y*y**(-5)*y)*y)\/y)\/y*y)\/y*y*y**(1\/6)*(y**1)**(-8\/9)*(y**1*y)**(-2\/87) assuming y is positive.\nAnswer: y**(51965\/5742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**5\/7 + 2*c**4\/7 + 3*c**3\/7 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11528178, 23056338, 34584498, 46112658, 57640818, 69168978?\nAnswer: 80697138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260626239?\nAnswer: 3, 587, 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 123 - 119. Solve 0 = -4*n - c*p + 4, 0*n + 4*n - 5*p - 31 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dxji when four letters picked without replacement from cjfcicixiccdd.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134 = 54*g - 136 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45 - -48. Suppose 4*l + 14800000 = 3*o, -f*o = -4*o. Round l to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2009 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-158 - -157) + (1 - 1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 16. Suppose 0 = 4*m - 0*m - y. Suppose -m*u = u - 33. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*i - 602*i + 111*i)*(-3 + 2 + 3 + 0 + 3 - 2 + (0 - 2 + 1)*(4 + 0 - 1) - 3 + 3 + 1)*(-2 + 2 + 2) to the form n + h*i and give h.\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 44\/16 + (-1)\/(-4). Solve -s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*n + 14. Let w = -29 - -33. Find c, given that -c**3 + w*c**4 + 8*c**2 - 1 - 13*c**4 + 2 - 6*c + n*c**5 + 3*c**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/3 + 1067185*k + 3201553\/3.\nAnswer: (k + 1)*(2*k + 3201553)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 1 + 8. Let s(c) = -3 - 3*c**2 - 6*c - c**l + 0*c + 4*c + 0*c**2. Let t = 1 + -3. Give s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 + -37. List the prime factors of (-73)\/(-1) - (f - -6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 6*q = -38, -36*a + 23 = -37*a - 5*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102306338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 3*x - 1. Suppose -26*g + 45 = -21*g. Suppose 3*o - 17 = -n - 0*n, -2*n + g = o. Suppose -2*v + 3*z - 35 = -6*v, -z = -n*v + 5. Calculate r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 715713*h**3*v - h**3 + 19112*h - 4 wrt v.\nAnswer: 715713*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -b**4\/5 + b**3\/5 + 9*b**2\/5 - 9*b\/5 = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2475, -23378, -44281, -65184, -86087?\nAnswer: -106990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**4 + 12*n**3 - 12*n**3 + 2 - 2*n**2 as a*n**4 + s*n**3 + c*n + d + p*n**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 32\/(-288) + 2\/18. Let s(b) be the first derivative of 2*b**3 + 0*b - 5 + q*b**5 + 2\/3*b**6 + 0*b**2 + 0*b**4. Find the third derivative of s(c) wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25593 is divided by 899.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j**2 - j**2 + 3*j**2 + 3*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - g - 7*g - 6*g + 18*g + g.\nAnswer: 5*g + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 + 66. Let a = r + -17. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (12 - 8)) + -2 - (9 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3402510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 302842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -105 - -107. Let k = -7\/18 - -8\/9. Let -1\/4*q**l + 7\/4*q**4 + 3\/2*q**3 + 0 - 1\/2*q + k*q**5 = 0. What is q?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.44, 0.4, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 97553726 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2024 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -197*u + 1037. Give z(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25917 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11989?\nAnswer: 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 19. Suppose -q = 2*q - 6. Let h(o) = 6*o**3 - 2*o**2 + 2. Let k be h(q). Calculate the highest common factor of g and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.976507ug in kilograms?\nAnswer: 0.000000000976507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1114843802 to the power of 1\/3, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1716.68774 + -1716. Round l to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8246978*c**2*o**3 - 2*c*o**3 - 25502*o**3 + 875*o**2 wrt c.\nAnswer: -16493956*c*o**3 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -839 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -21) + (2 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zyxgiss. What is prob of sequence ig?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 251, -1, 0, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -221 + 216. Let h = 0.16 - -9.84. Let y = h + l. Which is the biggest value?  (a) 2  (b) -0.08  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 451933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -346, 435, 1216, 1997?\nAnswer: 2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 4*y - 1619, 2*y + 648 = -0*r + 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11367921350.553 - 24742230.553. Let k = -11343179670.0000249 + n. Let t = -550 - k. What is t rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l - 4*l + 19*l + 5*l**3 - 11*l.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/451 and 28.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 1. Let j = -4157 + 4160.933. Let y = j + 0.067. What is the nearest to g in y, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 158\/1129  (b) -2  (c) 257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of q**9\/28350 + q**8\/10080 + q**7\/18900 + q**4\/4 - 10*q**2. Let v(c) be the second derivative of l(c). Factor v(u).\nAnswer: 2*u**2*(u + 1)*(4*u + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5*-2*sqrt(125))**2 + (2*sqrt(125) + sqrt(125) + 2 - ((-1 + sqrt(125))**2 + -3 + sqrt(125))) + -1 + -4.\nAnswer: 20*sqrt(5) + 12370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4104 (base 5) in base 16?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 29 = -4*d + 232, 0 = 4*f + 4. What is the highest common divisor of 128 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3381, -3403, -3455, -3549, -3697, -3911, -4203?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -14, 12, 12161 in decreasing order.\nAnswer: 12161, 12, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, 3, 0.6, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 5852?\nAnswer: -1755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10742241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/3 and -97\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2184198, -2184486, -2184774, -2185062, -2185350?\n\"Answer: -288*z - 2183910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of j*l**2 + 139647*j*l*z**2 - 109*l**2*z**2 - 2*l**2 - 16*z**2 - 4 wrt j.\nAnswer: l**2 + 139647*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 72, 2, -13 in decreasing order.\nAnswer: 72, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 17104699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 228 and -454.828.\nAnswer: -226.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4.272872 days?\nAnswer: 102.548928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30361293881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4375*a**4 + 8*a**2 + 4126. Let v(n) = 2*n**4 - 4*n**2 + n + 1. Let b(r) = s(r) + 2*v(r). What is the second derivative of b(q) wrt q?\nAnswer: 52548*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14853 by -31214.\nAnswer: -14853\/31214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 2*j + 4*l - 16, 0 = l - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -23. Suppose -2*l - 6 - 3 = 5*c, -4*l = 5*c + 43. Let z = d - l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-4))\/(-2 + 20\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*t**2 - 6*t**2 + 22*t**2 in the form n + k*t + d*t**2 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3*100\/(-32) + 1 and -9\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-162)\/(-1134)*4\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p**2 - 636*p = 0. Calculate p.\nAnswer: -636\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2760 (base 8) to base 2\nAnswer: -10111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 4*s - 17, 340*r = 338*r - s - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-1)\/2 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 4*f**2 - 5*f + 3. What is n(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = r - 0*s - 3, -5*r + 5*s + 60 = 0. Solve -3*w = r, i + w + 9 - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 8450\/23  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 822934792 by -3.\nAnswer: -822934792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - 0 - (48 + -32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2653 and -1?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 819548976 to the power of 1\/2, to the nearest integer?\nAnswer: 28628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -1350*z**2 + 936*z**2 + 3402*z**2 + 4937*z**2 as c*z**2 + s + l*z and give c.\nAnswer: 7925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of r**7\/1260 + 17*r**6\/720 + r**5\/30 + 7*r**4\/6 + 9*r**2 - 3. Let i(h) be the third derivative of p(h). What is i(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*b + 24 = 0, 2*b = 5*m + 48 + 6. Let w = -8 - m. Suppose d = w*d. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -80 divided by -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of 0 + 0*h**3 + 0*h - 18*h**2 + 1\/3*h**4. Let w(i) = -i. Determine 2*u(y) + 18*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*sqrt(17) - sqrt(17)) + -3*(sqrt(17) + -2) + 3.\nAnswer: -5*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 263 = 229. What is the remainder when 22 is divided by q\/14 + 4\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 56*u**2 - 32*u + 30. Is p(-41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -19 + -4bb1b?\nAnswer: -4bb36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.04 - -0.004. Let n = l + 7.636. What is n rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*f - 184*f - 4 - 84*f.\nAnswer: -343*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + h - 7. Let u be x(3). Let v(m) = m**2 - 3*m - 8. Let a be v(u). Suppose 185 = 5*f + 5*t, t + 169 = 4*f - a*t. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 214*g - 14367. What is n(67)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*l*p**2 - 2*l + 3110083*p**2 - 6509088 wrt p.\nAnswer: -6*l*p + 6220166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 581141?\nAnswer: 11, 23, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3 - 2*m + 7*m - 6 + m**2. Suppose 4*c + 5 + 15 = 0. Let h be b(c). Sort -1, h, -2 in increasing order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -8. Suppose s*o - 5*o + v = -7, -3*o + 4*v = -13. Suppose -84 + 3 = -o*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(176\/(-51)) + (-4)\/22?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12, -73, -1\/31325?\nAnswer: -1\/31325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**2 + k**2 + k**2 + (1 + 1 - 3)*(-3*k**2 + 5*k**2 - k**2) + 2*k**2 + 3*k**2 - 3*k**2 - k**2 - 5*k**2 + k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 24*c**2 - 8*c + 9. Does 6 divide w(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/((p*p\/(p*p**(4\/7)\/p))\/p*p)*p*p\/p**(-13) assuming p is positive.\nAnswer: p**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q**(4\/21)\/q*q)))\/((q*q**(-2\/17))\/q)*(q\/q**(-11))**16 assuming q is positive.\nAnswer: q**(68654\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r**2 + 15*r. Let h(v) be the third derivative of v**5\/10 + 2*v**2 - 3755*v. Give h(c(n)).\nAnswer: 96*n**4 - 720*n**3 + 1350*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*z + 24. Suppose 0 = -z*a + 2*b + 112, b = 2*a - 2*b - 108. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2141912944 to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 54*a**2 - 22*a + 101. List the prime factors of q(8).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 6 = -4*k. Let o(z) = z**2 - 7*z - 8. What is the remainder when o(10) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0050141 rounded to four decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5234952 and 1888?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6437\/12 - 1592\/3. Let k(x) be the first derivative of b*x**4 + 25 + 0*x**2 + 6*x**3 + 0*x. What is the third derivative of k(l) wrt l?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 111 = -5*l, -3*l + 75 = 2*t + 7. Let k be -1 - 2\/((-52)\/l). Let f = -105.8 - -105.6. What is the second smallest value in k, -3, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 36*a + 12. Let g(q) = -9*q - 3. Suppose x - 2*x + 9 = 0. Let d(r) = x*g(r) + 2*u(r). Let p(c) = -4*c - 1. Calculate -2*d(k) + 5*p(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -22001?\nAnswer: -22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000016091228 rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004912605 rounded to 5 dps?\nAnswer: -0.00491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 76 = 4*d, -5*n = 3*d - d + 44. Let o = 22 + d. What is the remainder when 9 is divided by (((-36)\/(-10))\/6)\/(1\/o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/3)*f**(-17))**(-39) assuming f is positive.\nAnswer: f**598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - -9 - (2 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 7 = -4*z, -5*z + 2*z = 4*a - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 5*y - 6. Suppose 12*o - 16*o = x - 100, -10 = -o - 4*x. Let b(s) = 9*s + 0*s - o + 1 + 11*s + 0*s. What is -6*b(t) + 25*l(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 3*l**2 - l + 2. Let j(f) = f - 2. Let k be j(0). Let h(c) = -c**3 - 3*c**2 - 2*c + 3. Let o(s) = k*h(s) + 3*u(s). What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 + 2*u**2 + u**2)*(-4*u + 3*u - u) - 353*u**3 + 469*u**3 - 781*u**3 + 8*u**3 - 6*u**3 + 3*u**3.\nAnswer: -662*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 9*r = 0. Let k(v) = -v**2 + 3*v + 2. Let f be k(8). Let n = f + 187\/5. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 4*p**4 + 112*p**3 - 1592*p**2 + 4752*p - 3276 = 0.\nAnswer: -39, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b544 + -5c1e?\nAnswer: -12263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 201905 and 198.\nAnswer: 3634290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 356*j + 199. Let c(o) = 178*o + 106. What is 11*c(y) - 6*l(y)?\nAnswer: -178*y - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 10*v - 840. Suppose -11*z + 5*z = -v. Let b be 2\/5 + (-1116)\/(-10). Calculate the greatest common factor of z and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4097364 divided by -5?\nAnswer: 4097364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -14 + 5 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and 88.\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 799*k**3*n**3 + 813*k**3*n**2 + k**3 + 7183794*k**2*n**2 - 2*k*n**3 wrt k.\nAnswer: 4794*n**3 + 4878*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 10*k**2 + 12*k - 4. Determine l(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (-12 + -1 + 20) - 4 - -25.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -664 or -88916?\nAnswer: -88916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 2*q - 10, 2*q + 4 - 6 = b. Let w be 76\/10 + b\/(-20). Calculate the highest common factor of w and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 5*n - 6 = 0, -9*n = 3*s - 8*n - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f. Let q(t) = -t + 1. Let s(l) = 5*q(l) + y(l). Let w(o) = -o + 4. Let z(g) = -2*s(g) + 3*w(g). Let i(u) = 2*u - 3. Calculate 6*i(d) + 10*z(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17665667\/12 - 1473876. Let g = z - -1726. Find the common denominator of 2\/(-4) - (-127)\/66 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p**2. Suppose 32 = 5*u + 2*q + 26, -u = -q + 3. Let z(i) be the second derivative of 23*i + u - 2\/3*i**3 + 0*i**2. Calculate z(a(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000803201 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tntnnovvtnt. What is prob of sequence vtv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 674*b + 3 + 52*b - 5.\nAnswer: 726*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7a53 (base 12) in base 14?\nAnswer: -4d55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -x + 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10068376 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 158 - 155. Determine a, given that 10*a + 14\/3*a**2 + 2\/3*a**c + 6 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of 9*j**3\/2 + 3*j**2 - 3*j. Let x be y(5). Suppose 0 = 3*u + u - 5*g - x, -g - 75 = -2*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(330) - ((2*sqrt(330) - sqrt(330))*1 - sqrt(330)))\/(sqrt(10) - sqrt(160)*-6))\/(sqrt(33)\/sqrt(243) - ((sqrt(396) - 3*sqrt(396)) + sqrt(11))).\nAnswer: 9*sqrt(3)\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2541 - 2659.9. Let r = d - -119. What is the closest to r in 0, -4, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/252 and -85\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10283949 to the power of 1\/2, to the nearest integer?\nAnswer: 3207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 119612 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, o: 4, a: 9}. What is prob of sequence coa?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*j, 2*h + j - 259 = -4. Let a = 228 + h. What are the prime factors of a?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-51))\/(8\/(-468)) - 7.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.839139mg to nanograms.\nAnswer: 8839139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v = -8. Let u be v\/(-10) + (-8)\/10. Let l = 2 + u. Let h(w) = 3*w + 1. Give h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52744 and 2082.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4*f + 1308 = 0, -2*f = 3*n - 257 + 1583. Let k = 452 + n. What is the remainder when 45 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 4*d - 14. Suppose -k = 3*k - d. Solve -3*x = 3*y + 2*y - 14, k*y = -x + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/21)\/(1\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 23. Determine h(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 36 = 4*t. Suppose -11 = -5*p + t. Suppose -10 = -p*k - k. Solve 0 = -5*g - k*v + 2, 2*g + 5*v - 5 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3 - 70767851*m**2 - 1252022148405624*m + 1252022219173476.\nAnswer: -(m - 1)*(m + 35383926)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2735)\/(-2)*5\/(100\/32). Suppose -3*m = -5*o + 11000, o = 2*o - 3*m - a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w - 54 = -18*w. Let q(v) = -2*v + 2. Let o be q(-2). Let z be o\/(-20)*(1 - 2\/w). Which is the biggest value?  (a) 1\/3  (b) 0  (c) z  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1329, -1, 2 in increasing order.\nAnswer: -1, 0, 2, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18367 = 72*w + 19519 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 14 = -14. Let t be 380\/h*90\/(-25). Let z = t - 7160\/77. What is the common denominator of z and -11\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -109100318*u**2 - 4442361*u - 13.\nAnswer: -218200636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36 - (65 - 112)) + 32?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 AM and 1:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) -2\/7  (c) -4  (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 1816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 935758143.\nAnswer: 3, 3929, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/(v**0\/v))*v*v\/((v*((((v\/(v**(-26)*v))\/v)\/v)\/v)\/v)\/v*v)*(v**(-1\/18))**(-22\/3) assuming v is positive.\nAnswer: v**(-583\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1422797*p**3 - 22205*p + 29 wrt p?\nAnswer: 8536782*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -272*z - 9192. Calculate w(-30).\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1626*l**3 - 3 + 5125*l**3 + 3 - 1885*l**3 - 1616*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -52937, 53 in descending order.\nAnswer: 53, 4, -52937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -85.2 + 88.71. Let j = t - 3.71. What is the third biggest value in 1\/7, 0.4, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**3 + 2806*i**2 + 949*i - 2804*i**2 + 419*i.\nAnswer: -i**3 + 2*i**2 + 1368*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*h**3 - 13*h**3 - 25*h**3 - 9*h**3 - 27*h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5390 and 379610.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 105*j**2 + 184*j - 715. Give l(4).\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16139 (base 14) to base 9.\nAnswer: -83552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {r: 5, h: 2, m: 8, d: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7315 and -0.4.\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**5\/20 + d**4\/3 - 2*d**3\/3 + d**2 + 2*d. What is c(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*r*y**3 + 9232*r*y**2 - r*y + 8413*r - 8*y**3 + 7*y - 1 wrt y.\nAnswer: 60*r*y + 18464*r - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.2, 3, 4\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -cdd (base 16) in base 4?\nAnswer: -303131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -69*d - 2335. Let x be q(-35). Suppose -3*n - c = -53, -2*c - 2*c = -5*n + 60. What is the highest common divisor of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 23*x + 3. Let a(w) = -23*w - 3. Let g(m) = -5*a(m) - 6*s(m). Let d be g(-1). Suppose 66*r - 70*r = -d. Solve 0*c + i = -4*c - 5, -r*i = 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -179, -181, -183?\n\"Answer: -2*l - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -352, -20, -8 in decreasing order.\nAnswer: -1, -8, -20, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.46413 times 2?\nAnswer: -0.92826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -273 + 296. Let x(d) = -3*d - 22 + u - 14*d. Let m(v) = v. Give m(x(z)).\nAnswer: -17*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-137)\/15*(-5)\/(-2) and (-2325)\/264 + (-158)\/(-869)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 20 - 464*h**2 + 13 - 78989*h + 78989*h.\nAnswer: -464*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44655 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -32  (b) -2  (c) 2\/5  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1398639, -2797278, -4195913, -5594544, -6993171?\nAnswer: -8391794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**6 + 45*g**4 + 2120*g**3 + 1008*g**2 + 3*g + 560?\nAnswer: -360*g**3 + 1080*g + 12720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-495))\/((91\/(-6))\/13*21\/(-147)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-754)\/10 - (-10)\/25. Let v = -51 - f. Solve 5*c + 3*g = -14, -5*c = -2*g - 0*g + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*u = 51*u - 50. Suppose -3*h = -u*j - 30 + 9, -h = 4*j + 10. Solve 3*f - v - 4*v + 14 = 0, -h*v + 18 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 372 = -4*y - 5*b, -y = b - 92. Let t = -92 + y. What is the fourth smallest value in -1, 0.2, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l + 5 - l**2 - 17 - l**2 - 21*l + 0 = 0. What is l?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 297526 (base 12) in base 11?\nAnswer: 436849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35117 - 35117.22637. What is r rounded to three dps?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1322488?\nAnswer: 2, 165311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 3*m**2 + m - 6. Give p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*sqrt(228)*-4*-2)\/(sqrt(1728) + (2*sqrt(1728) - sqrt(1728)) + sqrt(1728) + (sqrt(12) + sqrt(84)\/sqrt(7))*2).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y**3 + 25*y**2 + 3. Let o(d) = 7*d**3 - 27*d**2 - 2. Give 2*f(x) + 3*o(x).\nAnswer: 7*x**3 - 31*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -252643 rounded to the nearest 100?\nAnswer: -252600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 70*w + 888. What is t(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -14. What is the remainder when 13 is divided by -8*1\/m*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of h**6\/6 + 4*h**5\/5 + 3*h**4\/4 - 4*h**3\/3 - 2*h**2 - 4. Factor a(y).\nAnswer: y*(y - 1)*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -31 + (-46 - -67) + (31 - 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**2 + 67. Let p(z) = 2*z**2. What is p(i(h))?\nAnswer: 32*h**4 - 1072*h**2 + 8978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 3:41 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (x - x - 3*x**2)*(-19 + 2 - 41) + x**2 + 0*x + 3*x - 8*x + 35*x - 35*x + 14*x**2 as u*x**2 + l + b*x and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-572880)*9703 + 0 + -1 + (-12)\/(-22)?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27 + -16. Let k = 107 + -102. Suppose -4*p = k*r - p - 391, 2*r + 2*p - 158 = 0. Calculate the greatest common factor of w and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.0325.\nAnswer: 0.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffffmff. Give prob of sequence mm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**4 + 2580*x**3 - 18192*x**2 + 41680*x - 31296.\nAnswer: 4*(x - 3)*(x - 2)**2*(x + 652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/1055509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 16, 14311, -3.\nAnswer: -7, -3, 16, 14311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -24926 not equal to -24925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (39\/(-26))\/((-3)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*k = 0, -11 = -3*k - 2. Let l(n) be the first derivative of -2*n + 1 + 2\/3*n**d - n**2 + 1\/2*n**4. Factor l(i).\nAnswer: 2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4 + 0.1. Let m = -12811 - -89675\/7. What is the nearest to m in -2\/27, r, 2\/11?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13204\/21 + 510837\/812. Find the common denominator of h and 99\/2.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 5*f - 4. Let q be u(-4). Solve q = -n + 4*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -3308\/3, 36.4.\nAnswer: -3308\/3, -20, 36.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1078*c**2 + 3*c**3 + 3229*c**2 - 1072*c**2 - 1079*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i - 8*i = 5*x - 25, -3*i + 2*x = 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.9 + -8.3. Let b = 0.2 - 1.2. Let l = g - b. Put -5, l, 1 in ascending order.\nAnswer: -5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b - 12. Let s be v(-9). Let a = 5 + s. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*r**3 + 8*r**3 + 9*r**3)*(-3*r + 2*r + 5*r) as p + h*r + w*r**2 + n*r**3 + b*r**4 and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/3  (b) -0.019  (c) -32  (d) -524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from viivvvvvviv. Give prob of picking 1 v and 2 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -52735917\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 97916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from uzzzgkbbzgukgfg.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9*n - 1. Let k(d) = -19*d + 3. Let c(s) = 6*k(s) + 11*m(s). Is c(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 1:41 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11886209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k - 2. Let u be j(3). Suppose u*o = -3*r - 10, -4*o + r = -r. Which is the third biggest value?  (a) 0.3  (b) o  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.7 - -0.3. Let w = m - 3.2. Let u = 0.031 - 0.031. What is the third smallest value in w, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d - 4*d + 5*d - 4*d - 118 + 228 - 86 + (-4 + 3 + 2)*(-6*d + 8*d + 6*d).\nAnswer: 2*d + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/10176 and -97\/2352?\nAnswer: 498624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 12*t + 381. Let k be g(-30). Let l(b) = 12*b**2 - 3. Let x be l(-3). Calculate the greatest common divisor of k and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67914 (base 12) to base 10\nAnswer: 137824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*r + 33*r - 81*r + 143 = 3*j, 223 = 5*j - r for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/(sqrt(56)\/sqrt(7)))\/(-1*sqrt(200)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.7, -0.03, -20, -2\/11, -1\/4, 226, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 868476 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*d**3*g**2 - 26656*d**3 + 6*d*g**2 + d*g + 13*g**2 wrt g?\nAnswer: 10*d**3*g + 12*d*g + d + 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 + (-3)\/3*5. Solve 6*g - 4*g - 6 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14829445130 - -14829391909.699985. Let s = 53220 + u. Let x = s - -0.3. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 - 8*a - 3. Let g be m(-5). Suppose 2*i = 40 - 14. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 3:56 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/1140*-19)\/(4\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1454064 is divided by 10028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 12. Let u(i) = -1888*i - 708. Give u(d) + 59*v(d).\nAnswer: -2006*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 722.7373 centuries to months.\nAnswer: 867284.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 992, 1977, 5, -5, -4 in descending order.\nAnswer: 1977, 992, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 17*w**2. Let b(n) = 3*n**2 - 7*n + 7. Let k(x) = -x**2 + 2*x - 2. Let g(d) = 4*b(d) + 14*k(d). Determine y(g(u)).\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b*r*z + 664*b*r - 1511*b*z - r*z - 2*r + z wrt z?\nAnswer: -b*r - 1511*b - r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (4\/(-6) + 6720\/(-936))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**2\/2 + 10*x + 3. Let b be m(6). Solve -2*z = 2*z - 4, -u = b*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -4, 664 in descending order.\nAnswer: 664, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -894, 5, 0, 5401 in decreasing order.\nAnswer: 5401, 5, 3, 1, 0, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 32*v**3 + 1919*v**2 - 59*v + 80. Calculate the remainder when 198 is divided by s(-60).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 112 = -2*r, -r - 92 = -3*r - 3*w. What is the greatest common divisor of r and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 858237.\nAnswer: 3, 43, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**0)\/y)\/y)**(4\/25)*y**(-2\/9)\/(y**2*y*y) assuming y is positive.\nAnswer: y**(-986\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from zhhhhuhuzu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6\/5 - 13\/15. Which is bigger: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = -95*y + 67*y. Which is the nearest to 1?  (a) y  (b) 4.5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0071*-6\nAnswer: -0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12326294459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus -102809457.91619?\nAnswer: -102809458.01619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 x, and 1 s when three letters picked without replacement from {q: 9, t: 1, x: 2, d: 4, s: 1}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -168093*(490\/(-90) - -5)?\nAnswer: 2, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 302, 1162, 2582, 4556, 7078, 10142, 13742, 17872?\n\"Answer: -w**3 + 286*w**2 + 9*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15825 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 4*f - 3. Let t be r(4). Let i = -1.3 - -1.8. Which is the third biggest value?  (a) t  (b) 3\/7  (c) -4  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 886*l - 4009. What is the remainder when o(7) is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4333, 2358, -2999, -13430, -30627, -56282, -92087?\nAnswer: -139734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112022 + -11?\nAnswer: 112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7125.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -12*v**3 - 2*v**2 - 5*v - 4. Let a be j(-2). Let g = a + -6. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1862 a factor of 217194852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 2)*(3 - 5 + 1) + 6 + 0 - 4 - 1 + 4 - 4 - 1 + 2 + 0)*(4*l + 13*l - 6*l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 835 - 190. Let m = h + -644.999997267. What is m rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165537*r**5 - 27*r**4 + r**3 - 142579606*r**2.\nAnswer: 9932220*r**2 - 648*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 306786\/114 - 16\/152?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*i = -13, 2*i - 23 = 10*w - 15*w. Suppose 3*g - 23 + 6 = -w*b, 5*b - 23 = 3*g. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 240 - 153. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12084, -11972, -11786, -11526, -11192, -10784, -10302?\nAnswer: -9746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1429*v + 293*v - 716*v + 303202 = 1986*v for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, a: 4, p: 3, z: 2}. What is prob of sequence azzp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.07, -0.3, 1719?\nAnswer: 1719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 11*j - 16. What is d(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 10 = 0, -39*o + 41*o = -u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 991298 is divided by 331.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1661*m**3 - m**2 - 284?\nAnswer: -9966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 + -63. Let k be ((-3)\/36)\/(9\/w). Which is the biggest value?  (a) -3\/2  (b) 1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738273 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 33\/264 - 111\/(-8). Let n be 0*(2 + (-21)\/r). Determine m so that n + 1\/2*m - 1\/2*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -887 - 11041494449\nAnswer: -11041495336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p = -5*p + 4*v + 8, 4*p - 5*v = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.033 and 699621.\nAnswer: 23087.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 18*t**2 - 18*t - 12. Let h be s(-17). Solve -h*l - 6 = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vbnqvnvqbvnvb. Give prob of picking 1 q and 2 v.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, 312, 694, 1226, 1908, 2740, 3722?\nAnswer: 4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*x + 46 - 225, 4*x = -3*r + 183. Let n = x + -40. Suppose -a = -3*h - 6*a + 45, -n*h + 2*a = -44. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*g*h**3*u + 321*g*h*u**2 + 3*g*h + g*u**3 + g*u - 8*g + 90*h**3*u + 25*h**2*u**3 + 6*h*u**2 wrt h?\nAnswer: 18*g*h*u + 540*h*u + 50*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7209.2 litres?\nAnswer: 7209200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 855122556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 16\/18 + 4016\/(-1506) + 2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 153749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1224*d + 29657 + 23682 = -712*d - 14421 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -29\/3, -2, 24\/5, -1, 2?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1097625\/154 + -7128. Let j = -3\/22 - d. Which is the second smallest value?  (a) j  (b) 2\/15  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 2044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3709 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: What is the nearest to 0 in 0, 4, 4\/19, -0.04, 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**4\/12 + 7*v**2. Let c(x) be the first derivative of -2*x**3\/3 + 1. Give c(k(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**4 + p**2 + 1. Let g(s) = -6*s**4 - 263*s**2 - 5611. Let j(r) = -g(r) + 2*x(r). Find the first derivative of j(k) wrt k.\nAnswer: 16*k**3 + 530*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5633.1 + -5633. What is the nearest to -87 in r, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -143 + 143 + 57*v**5 + 3*v**5 + 2*v**5 - 3*v**5 + (-3 + 2*v**4 + 3)*(1 + 2*v - 1).\nAnswer: 63*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25 or 13624?\nAnswer: 13624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (64\/(-112))\/((-36)\/(-42))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35252717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31869572 and 160552?\nAnswer: 63739144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 4*(sqrt(112) + 1 + -5) + -5 + (-1*sqrt(112)*3)**2)*6*-1.\nAnswer: -5934 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 0 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -1. Let i(g) be the third derivative of 5*g**5\/12 - 5*g**4\/24 - g**3\/6 - 42*g**2 + g + 4. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + 0 + 2)**2 + (sqrt(15)\/((sqrt(605) - sqrt(605)*1) + sqrt(605) - sqrt(605) - sqrt(5)))**2.\nAnswer: 32*sqrt(3) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*b**5 + 7*b**4*n - 85*b**2*n + 2*n - 2 wrt b.\nAnswer: -660*b**2 + 168*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f**3 + 3*f**2 + 24*f. Let t be z(5). Let c = t + -591. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 37185 and 888?\nAnswer: 297480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)*2*-4 + sqrt(153))\/(2*sqrt(225)))**2 - (-2*(sqrt(612) + 4*(sqrt(612) + 1 - sqrt(612))))**2.\nAnswer: -250367\/100 - 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-4)*88\/2. Suppose 5*i + 4*a - z = 0, -14 = -i - 3*i + 3*a. Calculate the least common multiple of 4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b + 9. Let o be k(-7). Let f(a) be the first derivative of a**4\/4 + 2*a**3 + 3*a**2\/2 - 3*a + 1. Does 7 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 3*i - 34. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 12 + 3*v**2 - 9 to a + t*v**2 + x*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 not equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 16. Let n(y) = -408*y + 30. Determine -2*k(h) - n(h).\nAnswer: 404*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -66*q + 1238. Let k(f) = -2*f + 1. Let z be k(-1). Suppose -h = -z*h. Solve h = -2*l - 3*l + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111102 is divided by 811?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -6*p + 5. Determine c(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (-5 + 4)) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*2429\/(-77) - 210\/385?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2556 and 81?\nAnswer: 23004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.12895171 from 1.91.\nAnswer: 2.03895171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 258862844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-84)\/(-196) + (-53)\/(-7). List the prime factors of 42\/(-112) - (-147)\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 2*y**2 + 83*y + 408. Let o be j(-7). Let d(l) = 108*l**2 + l - 1. Let i be d(1). Calculate the highest common divisor of i and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/19068 and -173\/18480.\nAnswer: 4194960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003053211121 to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -55876768 divided by -1?\nAnswer: 55876768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of -o**5\/30 - o**4\/12 + o**3\/3 + o**2 - 10*o. Let k(g) be the first derivative of v(g). Calculate k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffcffrfcffci. What is prob of sequence ffr?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/5)*g)**(-36\/7)*(g*g**5)\/(g\/(g*g**(1\/17))) assuming g is positive.\nAnswer: g**(-1291\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or -903?\nAnswer: -903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 542432599\/28290 + -441000\/23. Calculate the common denominator of 17\/30 and a.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -39*x + 1720. What is l(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11, -7, -9, -23, -55?\n\"Answer: -n**3 + 3*n**2 + 2*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.75 and -15836588.43?\nAnswer: 15836585.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 432307 is divided by 195.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + 5128\/12 - (-3)\/(-9). Round c to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 26, -489, -1372, -2623, -4242?\n\"Answer: -184*v**2 + 37*v + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Product of 23576 and 1094.\nAnswer: 25792144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/138 and -29\/206.\nAnswer: 14214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1515 and 10928200?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2047400 to the nearest ten thousand.\nAnswer: 2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 43 divided by -125\nAnswer: -43\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 406*l. Let m(c) = -65*c**2. Calculate z(m(g)).\nAnswer: 4225*g**4 - 26390*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does -1224\/71 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -17222*u + 3214 - 25663*u + 8566*u - 3214 in the form w*u + t and give w.\nAnswer: -34319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -91, -215, -393, -631, -935?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/((3\/(-228))\/((-3)\/12)). Solve -39*o**3 + t*o**3 + 15*o**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -211 + 175 + -1 + 24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 53*o + 18. Let i be j(-6). List the prime factors of (387\/5)\/((-90)\/i).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118789*-2.063.\nAnswer: 245061.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5628397, -11256794, -16885191?\n\"Answer: -5628397*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55000 and 1938464?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*g**2*k - 8*g**2 + 25*g - 305531*k - 3703 wrt k?\nAnswer: 4*g**2 - 305531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140644*h = 140674*h + 1680 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 3*a - w + 384, 3*w = -6. Let s = a - -132. Solve 4*b + 10 = -s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19422811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -596\/29  (b) 1  (c) -6  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 5 + 6*p**2 - p**2 + p**2. Let r be u(-6). Let q = 23 + r. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18622 is divided by 434?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + 1 - (-13 + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yqqqqyzzuoiqziqqqiuq. Give prob of sequence uqq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 3 + 3. What is the third biggest value in -3\/7, 1\/6, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23140000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 25. Let q = -0.132 + 0.232. Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**6\/60 + 343*c**5\/60 - c**4\/8 + 17*c**3\/6 + 312*c**2 + 2*c. Find the second derivative of b(f) wrt f.\nAnswer: -12*f + 686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h + h - 4*h)*(12*h + 12*h - 4*h + (0*h - 4*h + 2*h)*(4 - 1 - 2)) + (19 - 31 + 16)*(2*h + h + 2*h + h**2) to the form s*h + k*h**2 + r and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88\/29 + 323\/116. Let x = -0.11 + 4.11. Let q = 6 + -3. What is the second biggest value in x, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/((-1 + 5)\/4). Let c = n - -31. Let q = c - 33. Solve i + 19 = -4*t, -q*i = 2*t + 3 + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11277*x + 11227*x = -2900 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 483\/24*(684\/(-2565) + (-58)\/(-105))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*r + 5*a, 0 = -0*r - r - 4*a + 13. Let w be 4\/(-5)*r\/(-2). Suppose 8 = -w*u + 6*u. Solve 10 = -2*f + 2*h, 2*f + 3*h + 7 = u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3261\/2)\/(-3)*(-85 - -83)?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38 by -12.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.2, -19\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/10 + (-1432)\/(-10). Let v be 3\/(-2)*c\/(-27). Is 1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - 5\/(15\/(-12)). Let n = 15 + 12. Suppose 5*g + 2*a + 23 = 0, 3*a = -5*g - n + 5. Sort 4, g, o.\nAnswer: g, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -256 + 253.22. Let v = q - -3.061. Let i = v + -0.28100231. Round i to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 775193400 to the power of 1\/2, to the nearest integer?\nAnswer: 27842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -214, 0, 3\/5 in descending order.\nAnswer: 3\/5, 0, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**2 - 9*d + 19*d - 28*d to the form z*d**2 + h*d + n and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 - 2*g**3 + 0*g**3 + (1 - 1 - g**2)*(-3 + 3 + 3*g) as w*g**3 + a*g + q*g**2 + v and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*((sqrt(396) + -1 + sqrt(396) + 4 - sqrt(396)) + -1))**2.\nAnswer: 7776*sqrt(11) + 129600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -7*w**2 - 17*w - 37. Let a(z) = 4*z**2 + 8*z + 21. Let y(v) = -5*a(v) - 3*i(v). What is y(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, v: 2, a: 9}. Give prob of sequence aav.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**3 - 2*u**2 + u + 2. Let j(a) = 14*a - 209. Let r(g) = -12*g + 212. Let y(c) = -6*j(c) - 5*r(c). Let p be y(8). Give x(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -14*f + 2. Let r be x(-6). Let p = -96 + r. Let y = 64 + p. What is the greatest common divisor of 36 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 279 + -277. Suppose -2*i - 30 = -2*n, -25 = 9*n - 12*n - u*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 18. Let i(x) = -3*x + 4 + 2 + 4*x + 0*x. Let l(r) = -1. Calculate y*l(q) + i(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -838255 or -3\/71?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -13. Let j = w + -9. Solve 0*l - 1 = l, l = -j*p + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b*b*b\/b**(-2\/19)*b)*b)\/b)\/(b*b**(-4\/15)))\/(b\/b**(-10\/9)*b\/(b**17\/b*b*b)*b) assuming b is positive.\nAnswer: b**(7738\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 0.33?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/824262 and -17.\nAnswer: 824262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1524, 1533, 1548, 1569, 1596, 1629?\n\"Answer: 3*y**2 + 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 89, 191, 289, 383?\n\"Answer: -2*f**2 + 108*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 12*w**2 + 38*w - 95. Let r be n(9). Which is the third biggest value?  (a) 10  (b) 13  (c) r  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-230)\/4*(-388)\/(-970).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -y**5\/20 + y**4\/12 + y**3\/6 + 7*y**2. Determine m, given that n(m) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4841)\/(-246891)*18*(-2)\/(-4)*1\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, z: 3, t: 1, b: 5}. Give prob of picking 2 z and 1 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 10. Suppose 2*g + 33 = 13*g. Suppose 0 = -k + 3*i - 6 + 3, 0 = -3*k - g*i - 33. Determine j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16\/15 or -108635?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 6*c**2 - 5*c - 20. Let l be k(-6). Calculate the remainder when 174\/8*4\/1 is divided by (l\/20)\/(1\/44).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1554 at least -191114\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, -0.1, 2.51, -1\/153?\nAnswer: 2.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-2*4\/1404). Let a be 1*6*(-18)\/t. Determine i, given that 2\/13*i**4 - 6\/13*i**3 + 0*i + 0 + a*i**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -253*o**5 - 454*o**2 - 9*o - 18. Let y(u) = -126*u**5 - 227*u**2 - 4*u - 8. Let t(x) = 4*n(x) - 9*y(x). What is the third derivative of t(s) wrt s?\nAnswer: 7320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2446 and -3?\nAnswer: 7338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 - a**2 - 3*a + 6. Let b(w) = -3680*w**3 - 68*w**2 - 10*w + 16. Let v(z) = b(z) - 3*x(z). Find the third derivative of v(t) wrt t.\nAnswer: -22116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6336 is divided by 235?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 4:49 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 190.9 and -0.2.\nAnswer: -38.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10112 by 3.\nAnswer: 10112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -0.04  (c) -3\/2  (d) -59  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 6*i - 5*i + 6 = 0, 0 = -2*v - 5*i + 38 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 73 by -6.\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1454 - 732 + 1006 - c.\nAnswer: -c + 1728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1250.18 millennia to months.\nAnswer: 15002160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 0 = -2*g + s, -5*g + 39 = -3*s. Suppose g*u - 12319 = -235. Let z = -537 + u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q**2 + q**2 - q**2 - 6900 - 6916 + 13818 + 40*q**3 to s + i*q + j*q**2 + r*q**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -141 + (-124 - 22304\/(-164)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*l - 7. What is the units digit of 1 + l - 46\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x**2 - 1027*x + 793. Determine r(256).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u - 44. Let v be n(-21). Suppose 4 = 20*b - v*b. Solve 3*g - b*o - 18 = 0, 2*g = 5*o - 0*o + 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*j**2 - 10*j**2 + 2*j**2 + (-j + j - j)*(-2*j - j + 5*j) + (12 - 2 - 1)*(-j**2 + j**2 - j**2) in the form t + s*j**2 + o*j and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -27 + 247. Let i be (a\/(-8))\/((-1)\/2). Suppose -12*l = -i*l - 33. Calculate the remainder when l is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 + -16)*(-49)\/(-1470)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, t: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -21 + (-21 + 36)*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 408, 409, 410?\n\"Answer: t + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**4*m - 7*h**4 - 907*h**3*m - 3*h**2*m + 46*h**2 - 10*m wrt h?\nAnswer: -24*h*m - 168*h - 5442*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, g: 14}. What is prob of picking 1 g and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 0*f**4 + 0*f**5 + 0*f**6 + 2\/7*f**7 - 7\/3*f**3 + 0*f + 1 + 0*f**2. Find the third derivative of u(w) wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -1181*a**9\/504 + 317*a**5\/30 - 440*a**2 - a. What is the third derivative of c(p) wrt p?\nAnswer: -141720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + -32. Let a = r + 107. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of -n**5\/10 + n**4\/6 + n**3\/2 + 2*n**2. Let u(p) = 11*p - 2 + 3*p + 4 - 11*p - 5*p**2. Give 2*j(t) - 3*u(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3907*g + 24. Let l be t(-32). Round l to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 169*d + 43 = 174*d, -3*d - 35 = -2*a. What is the lowest common multiple of 99\/12 - (-1)\/(-4) and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -317, 0.4, -1\/3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.019 + -0.181. Round i to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -2*o - 11. Let s(g) = -3*g. Let w be s(-1). Calculate the highest common factor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1020*-2837.\nAnswer: 2893740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y - 1. Let w be k(5). Let g be (-236)\/8*-6 + w. Let l = g + -102. Calculate the remainder when l is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + 0)\/(13 - 12). Suppose p - 2 = s. Is s\/(-4) - 1563\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 123111?\nAnswer: -123105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b - 600. Let t(d) = 4*d - 602. Let q(x) = 4*j(x) - 3*t(x). What is the derivative of q(l) wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5363580732 to the power of 1\/2, to the nearest integer?\nAnswer: 73236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 3 - (1 - 0). Let l(w) = 39*w**3 - 2*w + 1. Let j be l(g). Let a = -34 + j. Solve -5*s + 23 = -2*d, -2*d = -0*d + 4*s - a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -3102\/103253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 34*s + 83, 0 = 3*p + 72*s - 77*s - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-3) - (-96)\/18. Suppose 27*h = 12*h + 15. Put p, h, 5 in decreasing order.\nAnswer: p, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 11*d - 9. What is c(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 22925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 356, 317, 208, -7, -364, -899, -1648, -2647?\n\"Answer: -6*v**3 + v**2 + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c369 + -38?\nAnswer: c331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6684 + -0.66844768. What is g rounded to six dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 466.8946ml to litres.\nAnswer: 0.4668946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (-38 + 13)) + -43.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 9  (c) 0.15  (d) 0.1  (e) -3\/2  (f) 184\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*n = -9*n + 15, 0 = s - 2*n + 6. Suppose -841*y = -837*y - 379772. Suppose s = 4*o - y + 378943. What is o rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/((-600)\/(-16)) + (1026\/60)\/9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -113*i**2 + 135*i**3 - 79*i**2 + 106*i**3 - 71*i**3 wrt i.\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -960 + 953 - (2 + -2 - -18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4003*w + 2016*w + 2006*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3, 3\/10, 180294 in descending order.\nAnswer: 180294, 6, 3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - s - 4*y - 50, 5*s - 97 = 3*y. Let b(m) = -16*m**2 - 207*m - 160. Let h be b(-12). Is h less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -36\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 7*v - 175 - 2*v**2 - 13*v + 135 - 8*v**2. What is the remainder when 21 is divided by f(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -76, -3, -1\/2, -10, 10 in descending order.\nAnswer: 10, -1\/2, -3, -10, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 4\/3, 2\/255, 1?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8944 is divided by 1778.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 4, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*r**2 - 19 - r**2 + 11*r**2.\nAnswer: r**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -5*x**3 - 13835*x**2 - 9397820*x + 9411660 = 0.\nAnswer: -1566, -1202, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 725530 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + 3622316415075.\nAnswer: 3622316415074.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -38, -141, -302, -515, -774, -1073, -1406, -1767?\n\"Answer: h**3 - 35*h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*k - 11457 = -11847 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gtb when three letters picked without replacement from {k: 2, y: 1, t: 1, g: 1, b: 3, a: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -263, -17, 229, 475?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - -3)\/(3 + -4 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 1 + (-53 + 75 - (24 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -3*x - 9, -q - 3*q - 14 = 3*x. What are the prime factors of (-28)\/(-6)*(q + 35)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 768832381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -134042?\nAnswer: 134042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 304 and 1876776?\nAnswer: 71317488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 32\/(4*-5 + -1) and 5*1*365\/(-2409)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 71.2 + -202. Round y to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-1 - (3 - 2)). Suppose 4*d + 3*o + 33 = -2*o, -4*o = -5*d - 31. Let x = l - d. Let t(i) = i**3 - 7*i**2 + 8*i - 3. Determine t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t + 1. Suppose 8 - 5 = -3*p. Let g be n(p). Solve g*s = -0*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**4\/12 - 5*x**3\/7 - 16*x**2\/7 + 2*x + 6. Factor q(a).\nAnswer: -(a + 2)*(7*a + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -1  (b) 3  (c) -254  (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 12:05 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**4\/5 - 42801*d**3 - 5084251767*d**2\/5 - 40122671294439*d\/5 + 2507200531760214\/5 = 0. Calculate d.\nAnswer: -23799, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -8572 <= -8561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10464 divided by 8\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6164 is divided by 386.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 9*u = -5*w - 26, -2*w + 4*u = 20. Is w + (834 + 4 - -3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00478554 to five dps.\nAnswer: -0.00479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*v = -227 - 1233. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of 3*h**4\/4 + 7*h**3\/3 - 17*h**2. Differentiate w(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-2))\/y**(6\/5))**(-6)*(y*y**5)\/(y**(3\/4)\/y)*(y**(2\/7))**(-9) assuming y is positive.\nAnswer: y**(-997\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -20*-27*6\/(-45). Let o be (-1)\/(-5) + u\/(-40). Solve 3*v - 10 = -o*f - 0*v, 2*v - 10 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 11397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*a - 297 = 21*a. Calculate the smallest common multiple of 291 and a.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.947 - -0.447. Let u = -16 - -15.983. Sort -5, u, q.\nAnswer: -5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253836506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4 + 12*j**3 - 182*j**2 = 0. Calculate j.\nAnswer: -13, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -3*y - 3, -3*y - 5*o - 499 + 521 = -3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -125*z**2 - 5*z + 9. Let f(t) = 156*t**2 + 4*t - 9. Let b(o) = 4*f(o) + 5*x(o). Calculate b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (-14 + 7) - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 567969\/20416 + -3\/1856. Which is the smallest value?  (a) -1\/5  (b) -0.4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 6*b + 11. Let u be t(7). Suppose w + 14 = -u*m, 3*m + 5*w + 16 = 7*w. Let c(q) = 2*q**2 + 6*q + 4. Give c(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 434 = -2*r. Suppose m = 4*i - r - 5, 83 = 5*i - m. Solve -4*n + u - 16 = 0, 4*n + 0*u + 2*u = -i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-10)*(13 - 8). Suppose -14 = -5*z - 4. Sort z, y, 3, -3 in ascending order.\nAnswer: -3, y, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-21))\/(121\/242)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3528 and 224427.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4649102*i**3*k - 1712*i**2*k - i**2 + i*k - 65*i + 2*k wrt i?\nAnswer: 27894612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22921\/20 + 5729\/5. Which is the third smallest value?  (a) 2  (b) 264  (c) 1\/2  (d) -0.5  (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-4)*34*-3. Suppose 0 = -3*r + 3*p + c, -p - 22 = -r + p. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 5*m**2 + 12*m - 7. Let g be k(-7). Suppose 2*o = -x + g + 8, -39 = -5*o - x. Solve 5*r = -v - 22, 2*r = 2*v + 3*r + o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157406?\nAnswer: 2, 211, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 782*f - 131. Is x(2) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 13\/8*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -6*(1 - 30\/18). Suppose 4*b - 19 = 5*o, -k*b - 2 = 3*o - o. Let m(v) = -33*v + 1. Determine m(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 163  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 12284 and -1.\nAnswer: 12283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 62, 83, 118, 173, 254, 367, 518, 713?\n\"Answer: w**3 + w**2 + 11*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56233937 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and 0.1572.\nAnswer: 2.1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*r - 20*r**3 + 11*r + 12*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41190190?\nAnswer: 2, 5, 307, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 2*k + 16, 6*t - 9189*k = -4604*k - 4590*k + 40 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 493640 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 110 divided by 4\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -330130434 at most as big as -330130435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 602*f + 615. Calculate x(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-225)\/12)\/((828\/171)\/1) - -4 and 1\/1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-7) - 2\/(-42). Let p = -2 - -1.9. Suppose 3*w = -w + 12. Which is the second biggest value?  (a) p  (b) w  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 n when four letters picked without replacement from ttttvtvvnnttptxvvp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -57. Let i = -1.11 - -6.11. What is the nearest to 1\/3 in h, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o**3 + 63*o**2 - 212*o - 21. What is c(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/4841  (b) -0.2  (c) 0.19  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from lalalaoalglaloalolga.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 146 - 1550. Is -0.1 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, v: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15883 - 22918. What is n rounded to the nearest one hundred?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 12\/9)*-6. Suppose -3*g - 3*a + 107 + 121 = 0, -3*g - 4*a + 226 = 0. Suppose 21 - r = d + y, -3*d + 4*y + g = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1123c51 (base 13) to base 11\nAnswer: 2a75942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -8*h - 14. What is the units digit of r(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.9 - -1.9. Put 2, t, 6 in descending order.\nAnswer: 6, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.1848917 from -18.28921.\nAnswer: -19.4741017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 440 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/630379143?\nAnswer: 1\/630379143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 67 = j. Let z = -75 - j. Is (-4)\/(z\/14)*19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2 - 2*b**2 - 2. Let z be (15 - 0)\/(1\/2). Let t(p) = 30 - z + 2*p. Calculate x(t(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -2166.\nAnswer: 2\/1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31*o**2 + 2*o + 41*o**2 + 3 - 3 wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 74 + -80. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of l**2\/2 + 81*l - 2. Let v be d(0). What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*i + 105 = 0, -5*f + 4*i + 60 = -50. Calculate the greatest common divisor of f and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-7)\/(35\/(-25)). Suppose 3*u + y*u - 459 = 0. Find the second derivative of -21*j**5 + u*j**3 + 45*j - 51*j**3 wrt j.\nAnswer: -420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7910*o + 298 = -6*i + 7905*o, 53 = i - 15*o + 14*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4541656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 530\/31 > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-20)*1*15\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 10:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10\/7 or -93?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 45*k + 32. Let s be o(22). Solve 11*j = s*j - g + 6, 5*j = -g + 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**4 + 3*r**4 + r**4 + (-2*r + r + 0*r)*(0*r**3 + 0*r**3 - 2*r**3) + (0*r**4 + 5*r**4 - 6*r**4)*(2 - 5 + 1) + r**4 - 32*r**4 + r**4.\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*s - 550 = 66*s - 42*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111 - 4*h + 2*h - 111.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 234491 and 681.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 37106315 and 29685052?\nAnswer: 148425260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(104) - sqrt(104)*-2 - sqrt(104))*-4)\/(-2*sqrt(16)\/sqrt(2)) - (-3 + 2 + -3*sqrt(832))) + 3)**2.\nAnswer: 224*sqrt(13) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 2)*(21*w - 16*w - 97*w).\nAnswer: 92*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 624446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 406067959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136940 divided by 13694.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1, -3, -3, -1, 3, 9, 17?\n\"Answer: f**2 - 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*h - 187*h + 60*h + 63*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203086.\nAnswer: 2, 13, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 + 0)*(0 + 0 - 2*h)*(-5 + 3 + 4)*(2 + 2 + 1) as m*h + z and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1083 + 2165. Suppose -17*z + p = -1247. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of n**4\/12 + 5*n**3\/2 - 2*n**2 + 145*n. Calculate t(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j + 0*j - 10 + 5*j**2 to g*j**2 + h + l*j and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9860402 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -66952 and 628.\nAnswer: -66324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -17*t**3 - t**2 - 16*t - 39. Let k be m(-3). Solve -474*h + k*h = -75 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a, 1 b, and 1 h when four letters picked without replacement from {h: 4, a: 2, b: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, l: 3}. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k**2 - 13*k + 5. Let s(v) = -80*v - 313. Let r be s(-4). What is c(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7709292 months to years.\nAnswer: 0.0642441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -65278, -130522, -195766, -261010?\n\"Answer: -65244*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -588*k*w**2 - 1899*k*w*y - 11009020*w**2*y wrt k.\nAnswer: -588*w**2 - 1899*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34689\/1119 + (-20)\/(1 - 3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0481 * -1.23.\nAnswer: 0.059163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 179 + -187 + (-5 + (4 - 1) - -29).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-8\/7))\/x)\/((x**(-2\/23)\/x*x)\/x)*(x*x*x*x*x\/x**(-3))**(6\/19) assuming x is positive.\nAnswer: x**(14549\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 357979*n + 14 - 98917*n.\nAnswer: -456896*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-5)*3\/27*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**3 - 15 + 10*q**2 + 2*q**3 + 21 + 6. What is o(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -18  (b) 196  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1136 is divided by 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 2)*(-3 - 2 + 3 + (-6 + 0 + 5)*(6 - 3 - 1))*(2 + 0 + 0)*(s - 4*s + 5*s).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*n + 228 = 0, 5*q + 0*q = -n + 559. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 9:45 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 196727 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1413797 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 63 = -2*d + 3*d, 0 = 4*o - 3*d - 89. Let v = -11 + o. Suppose -v = -4*b + 87. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5*r = 6*g + 155, 0 = -2*g + 5*r - 65. Let p = g + 35. Suppose -1 + 61 = 3*y. Solve 2*f + 2*f = x - y, 4*f + 20 = p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/2*4\/6. Suppose -21*i + 23*i = -28. Let f be h - 4\/i - 3. Sort -5, -3, f in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -333, 890, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from yyippzppxkpxizkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 514906 is divided by 7233.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 + 24. Calculate the highest common factor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*x + 120 - 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, v: 4, q: 4}. Give prob of sequence vee.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -0.8  (b) 5  (c) 0  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4202647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/70*10\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 691.812 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28686*p**4 + 88*p**2 + 7889862*p wrt p?\nAnswer: 344232*p**2 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 9*i + 1. Let a be t(8). Let o be (a\/18)\/(7\/(-105)). Let c = -439 - -444. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5311060 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: Calculate the common denominator of 40\/1613 and 23\/7.\nAnswer: 11291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2 + 110*r - 56*r - 53*r. Suppose 4*u = -u + 20. Let d(c) = 2. Calculate u*i(h) - 5*d(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(228) + sqrt(228) + sqrt(228))\/sqrt(4) - sqrt(57))\/sqrt(3))**2 + (0 + sqrt(19) + 2)*-5.\nAnswer: -5*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30324 - 3?\nAnswer: 30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104580\/249*((-5)\/(-5))\/(-4)*-1.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 2*f**8\/7 - 17*f**4\/12 + 16*f. Find the third derivative of x(a) wrt a.\nAnswer: 1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2 = -8. Calculate the smallest common multiple of q and (-35)\/(-14)*(-4)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3950.6 - 2.\nAnswer: 3948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2702742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(3\/2)))**(1\/34)\/((t**(-1)\/t)\/t*t)**(-4\/25))**(-45) assuming t is positive.\nAnswer: t**(4221\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -4  (b) -5681  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29536 = 70*o - 74*o. Let x be (-12)\/(-15) - o\/(-9380). Let g = -13589\/938 - x. Find the common denominator of 43\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16163 and 57725.\nAnswer: 404075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30678561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14547899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1698, -1, -2, 3 in decreasing order.\nAnswer: 3, -1, -2, -1698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1139064877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*-1.07241.\nAnswer: -10.7241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 58411 (base 9) in base 15?\nAnswer: b831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 42. Let b be (-53)\/c*-3 + -2. Let i = 674 - b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 675619313.\nAnswer: 47, 14374879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4802.719 - 4824.1. Let p = n + 0.181. Let f = p + 32.1. What is f rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -181796, -181630, -181464, -181298?\n\"Answer: 166*b - 181962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 102818499.9 rounded to the nearest 1000000?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bb94 (base 13) to base 14.\nAnswer: -9759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76\/2 - (-1)\/(-1) is divided by 12\/(-18) + 82\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56 - 30. Let d be (1\/(-2))\/((-6)\/156). Calculate the highest common factor of s and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3\/3547 + 46375\/312136. What is the common denominator of n and -43\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009233009446 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(38)\/sqrt(2) + (sqrt(684) + 2)**2.\nAnswer: 19*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -11781 from -0.05921372227.\nAnswer: 11780.94078627773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 + 4 - 6 - 67*v**4 + 2*v + 58*v**4 to o*v**4 + j*v + p*v**2 + b + d*v**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5, 0, 9, 22?\n\"Answer: 2*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*o**2 - 5*o**2 - o**2 + 16*o**2)*(-2*o**3 - o**3 + o**3 + (0*o + 2*o**2 + 0*o)*(0 + 0 + 2*o) + 0*o + 0*o + o**3 + 725*o - 725*o + 17*o**3).\nAnswer: 760*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 144 - 101. Let g(o) = -5*o + 12 + 60*o**2 - 39*o**2 + t*o**2. Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**2\/2 + 479*o + 45900 = 0.\nAnswer: -850, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11527 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wiwwaietciawaaeae. What is prob of picking 2 e and 1 w?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {x: 2, l: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, k: 5, g: 3, l: 1, r: 7}. Give prob of sequence mr.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*z - 26, 2*x + 15*z = 16*z + 11. Put -4, x, 5, -5 in increasing order.\nAnswer: -5, -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 346.9 - 346.90002476. What is a rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 187, 191, 195?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 - -21. Let a = r - -15. Let l(u) = 3*u + 5. What is the tens digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d = -5*b + 22, -4*b - 4*d - 21 - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 10*m**3 + 9*m**2 - m + 8. Calculate the remainder when l(3) is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 - (-1 - (-7)\/(-2)). Factor 1\/2*b**5 + b**2 - d*b + 1\/2 - 3\/2*b**4 + b**3.\nAnswer: (b - 1)**4*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2908015 and 19240?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.078 and -1612200?\nAnswer: 125751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -31, 0.1 in ascending order.\nAnswer: -31, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2.3, -2\/5 in ascending order.\nAnswer: -2\/5, 1, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 283 - 284. Put b, 5, 16 in ascending order.\nAnswer: b, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 + 32.6. Let t = -15.5 + q. Let x = t - -10.8894. What is x rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*i = 5*g + 43*i, g - 3*i = -10. Let p(t) = -32*t**3 + 15*t + 33*t**3 + g - 3*t**2 - 21*t. Let m be ((-4)\/6)\/((-1)\/6). What is p(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -3*v**5\/20 + v**4\/12 - v**3\/6 - v**2\/2 + 4*v. Calculate the remainder when 13 is divided by l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-33))\/((-4264)\/(-23452))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-19))\/((-15302)\/(-726845))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*s**5 - 2*s**4 - 1899*s**2 + 16287*s wrt s.\nAnswer: -60*s**3 - 24*s**2 - 3798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -13. Suppose 8 = k + b. What is the tens digit of 25 + 1*(k + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -3. Suppose i - l = -5*b - 11, -6 = i + 4*b. Calculate the least common multiple of i and 3\/(((-9)\/12)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 12*n**2. Let c(o) = -1023*o. Determine k(c(q)).\nAnswer: 12558348*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011210 (base 3) in base 14?\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 48*y - 2215 = -2*y, -6*g = -5*y + 90 + 112 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**6\/840 - 11*c**5\/28 + 3025*c**4\/56 - 166375*c**3\/42 - 7*c**2 - 31*c. Factor n(v).\nAnswer: (v - 55)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1065 + 1791. Suppose 0 = 2*o + 252 - y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 7) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8908 + -5792. Suppose m = 4*m - 15, 0 = 2*w - 4*m - k. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-4) - 14\/8. Suppose 6 + 6 = 6*q. Let t(w) = -w**3 - q*w**2 + 4 - 5 - w + 3. Give t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/18)\/(2\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0*m - 2*m - 9)*(-2*m - m + 4*m) in the form j*m + n + z*m**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 - 28. What is the least common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -868, -3485, -7854, -13975?\n\"Answer: -876*z**2 + 11*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 127.3 + -127.1. Which is the third biggest value?  (a) p  (b) -32  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.4163 - 0.0837. Let m = 4.3 - 2.3. Let s = 0.03 + 2.97. What is the closest to 2\/3 in s, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 4*p**2 + 7*p - 3. List the prime factors of a(-5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 10:23 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-2)*(-156)\/1001?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 27  (b) -858  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (-1*(2 + sqrt(13)))**2) + 2 + sqrt(13)*2.\nAnswer: -15 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 169212, 338621, 508030, 677439?\nAnswer: 846848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6756590.\nAnswer: 2, 5, 19, 43, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 3*l**2 + 2*l - 4. Let q be m(3). Suppose -9 = -q*k + p, 5*k + 2*p - 22 = k. Find the second derivative of 2 - 2 + k*g**2 + 5*g wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**4\/6 - 3*c**2. Let d(p) = -p. Determine g(d(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-187)\/935)\/(4*2\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 75 - 124. Let h be 63\/t + 2\/7. Let a(f) = -5*f + 1. Let o be a(h). Calculate the greatest common divisor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402 = 178*v - 44*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2608*i + 388766 = -584*i - 4742*i for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.19 and -0.07027.\nAnswer: 0.0836213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 - 3*b + 15. Let w be y(-5). Suppose w*c + 2 = 6*c. Find the third derivative of -10*p**2 + 14*p**6 + 4*p**6 - 2*p**c - 2*p**2 wrt p.\nAnswer: 2160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26126 - -26127. Which is the third smallest value?  (a) -0.211  (b) x  (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of m**5\/2 + 19*m**4\/3 - 16*m**3\/3 + 9*m + 162. Let g(x) be the first derivative of t(x). Factor g(h).\nAnswer: 2*h*(h + 8)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -115 + 174. Suppose 0*x - 6*x + 24 = 0. Suppose 2*s - 3 - 22 = 5*q, -s + x*q = -11. What is the remainder when u is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1105670058 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**2 - 161*x - x**2 + 2*x**2 + x**2.\nAnswer: 2*x**2 - 161*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10000101 (base 2) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, -44, -4, 1 in ascending order.\nAnswer: -44, -4, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11\/(88\/32)*7\/2. Solve g*d = 18*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(77) - (sqrt(77) - sqrt(77)*1)*6) + sqrt(77)))\/(5*sqrt(567)*5 - sqrt(567)).\nAnswer: 5*sqrt(11)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 19*l. Let j(x) = 8*x. Determine j(w(g)).\nAnswer: 152*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*j*x**2*y - 9*j*x**2 - 4*x**2*y - 7*x + 9*y wrt j?\nAnswer: 4*x**2*y - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1674, -3351, -5028, -6705, -8382?\n\"Answer: -1677*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 d when four letters picked without replacement from pwzppwddwwwdpppp.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -j**3\/8 + 33*j**2\/8 + 69*j\/8 + 62. Find a such that t(a) = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201048.\nAnswer: 2, 3, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -215 in descending order.\nAnswer: 2, -3, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a + 4. Let s be u(0). Suppose 0 = 5*v - s*l + 10, -24*l = v - 22*l - 12. Solve 4 = -2*m - v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 17 = -4*s, 3*i + s - 5 = -16. Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j*y**3 - 322*j*y**2 + 1452*j*y + 70*j - y**3 + 8*y**2 wrt y.\nAnswer: -6*j*y - 644*j - 6*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48065.\nAnswer: 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 + -11. Suppose 23 - 3 = i*o. Suppose -2*w + o*w = 2. Solve -n = w - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 5)*(8*p - 9*p - 6 + 3)*(-p**2 + 9*p**2 - 2*p**2) + (-2*p + 15*p + 4*p)*(0*p**2 - 3*p**2 + p**2).\nAnswer: -52*p**3 - 54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 94803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + a + 6 = 0, -186*u + 52*u - 42 = -43*u - 46*u - 47*u - 8*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 204161, 408052, 611943, 815834, 1019725?\n\"Answer: 203891*s + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17875 <= 17874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - -1 - 3 - -5. Suppose -2*h = -3*v + 3 + 4, -g*h = -2*v + 3. Let q(x) = x + 2. What is the units digit of q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85176 divided by -273.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 - 932628*o**2 - 54361720332*o + 54362652964.\nAnswer: -4*(o - 1)*(o + 116579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -19) + -10 + (-6 - -9 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 124991837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-24) + -11 + 13.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 177708404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-282)\/22 + 1 + 8)\/((-9)\/99).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {r: 3, l: 4, e: 1, s: 3, x: 7}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from {m: 11, h: 1, q: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g + 0*g + 4*g + ((-7 + 0 + 0)*(5 - 1 - 3) - 2 + 5 - 1)*(-3*g + g - g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 79349507 and -0.3.\nAnswer: -23804852.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q + 52 = 0. Let k(a) = -2*a**2 - 13*a + q*a. Let m(p) = 2*p**2. What is m(k(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1183 is divided by 384?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 208483621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3703523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*h + 120 = -69*h. Suppose 920 = -h*d + 20*d. What is the highest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, a: 4, l: 9}. What is prob of picking 1 a and 1 i?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00732692257 to 6 decimal places.\nAnswer: -0.007327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14170176 and 4599.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -26*k**3\/3 - 30. Let b(v) = v**2 + v**2 + 2*v**2 - 6*v**2. Calculate t(b(i)).\nAnswer: -104*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -2*(3 - 2). Let y be ((-36)\/(-5))\/(t\/220). Let u be (4\/(-3))\/(16\/y). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 (base 5) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77572720 < 77572722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 9:57 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1636 - -1553. Sort -5, 5, a in descending order.\nAnswer: 5, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d - 306 = -37*d. Suppose 4*h + 1 = -7. Let b = h - -2. Solve 4*m + 19 = -w, w - m - d = -b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 242 and 46101.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**5\/20 - x**4\/2 + x**3\/2 + 2*x**2 - 3*x. Let v be n(7). Suppose 4*t = v + 122. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -60.5, 0, -917?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -5*c - 129, 2*g - 11 - 62 = -c. Suppose 4*z = 6 + g. What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100101001110101100111 (base 2) to base 9.\nAnswer: 2258402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = c + 4. Suppose 0 = c*n + 2*u - 4*u - 18, -3*n + 5*u + 33 = 0. Solve 5*h + n = -z, 0 = -h - 0*z - 5*z + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -691, -683, -677, -673, -671?\n\"Answer: -d**2 + 11*d - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136932?\nAnswer: 2, 3, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 - -1 - 11) + -18 + -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = -6*t + 60. Solve t*r = -3*s + 12, 4*s + 4 = 3*s + r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 3 - 5)*-2. Suppose -o*t + 1993 = -7015. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1792, -1785, -1778, -1771, -1764, -1757?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 20*o + 170 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y + 10*y + 68688 + 279502.\nAnswer: -y + 348190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 292*s + 29 - 30 + 1.\nAnswer: 292*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1348913 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 51330734 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n + 6 - 32 + 27 + 3 + 6*n**2 as u*n**2 + o + f*n and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*u + 35. Let q(c) = 16*c - 51. Let n be q(3). What is the smallest value in u, n, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 13*d**2 + 299*d + 3311. Calculate m(-12).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 927441327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 5 - 8. Suppose 4*u = 2*y - 390, -u = -y + l*u + 187. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -160849793*n + 79549647 wrt n?\nAnswer: -160849793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + m - 18 + 1, 2*m = -y + 13. Suppose -l + 24 = 2*c, -y*c + 4*c + 164 = 5*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -326015 and -8.287523?\nAnswer: 326006.712477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from oygyonynnhnyoyynyoo.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1 - (-287220)\/(-28))*(-19)\/((-380)\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 8:23 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Suppose -y*z + 8 = z. Put 3, 1, z in descending order.\nAnswer: 3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 976.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (10 - (4 - -10)). Solve 4*s + m*b = 20, -s - 5*b = -7 - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2\/3 - 229288*c\/3 + 13143246736\/3 = 0. What is c?\nAnswer: 114644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*a + 6 - 15*a + 5*a**3 + (2 + 2 - 2)*(a**3 + 3*a**3 - 2*a**3) to the form t*a + n*a**3 + l*a**2 + y and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -230 + 338. Suppose -4*x = r - 324. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*q = -32. List the prime factors of 1 + (142\/8 + -1)*q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 17, 20, -11 in decreasing order.\nAnswer: 20, 17, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 + -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 449*v - 50083. What is m(110)?\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 44 in -7\/2, -0.06, 1\/9, 0.2, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 398299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*b - 24 = -111*b. Suppose b*i = 2*y + 44, -i - 4*y + 13 = -7. Let u = 1 - -38. Calculate the smallest common multiple of u and i.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 12*v = 10. Let n be ((-6)\/(-3))\/(v\/(-26)). What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*h = -49*h + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -1\/8  (b) -2\/5  (c) 3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 14*o**2 - 18*o + 39. Is 19 a factor of c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21.7 + 17. Let d = y - -5. Let u = -148\/45 - -26\/9. What is the second biggest value in d, 3, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 + 73. Calculate the remainder when b is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -12, -1\/7, 3, 1.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -13*j**8\/56 + j**5\/60 + j**3\/2 + 10*j**2 + 1. Find the third derivative of k(v) wrt v.\nAnswer: -4680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3496.4685 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-1) + -2)*5. Suppose 7*s - 3*s = 0. Let c = 0 + s. Solve -g*l - 1 + 6 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of 4\/9*n**3 + 16\/3*n + 10\/3*n**2 - 38. Factor s(u).\nAnswer: 4*(u + 1)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 434 divided by -217?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 798 and 28\/3*(-1161)\/(-86)?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b. Let l be m(1). Suppose -2*o + r = 2, o - 7 = 6*o - 2*r. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34865 - 244557\/7. Let s = o + 72. Let y = -0.3 - 0. What is the nearest to 0.1 in 0, s, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*v**3 + 0*v**3 - 4 + 0*v**3 - 10*v**3.\nAnswer: 15*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -26.6, 48, -3, -5, 1 in descending order.\nAnswer: 48, 1, -0.4, -3, -5, -26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -128 + 130. Solve -6 = i - 2*a, 5*a = 5*i - h*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 4 - r - 2 + 6 + 0. Let t be u(0). Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 707187?\nAnswer: 3, 13, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 12:33 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 - c**3 + 2*c**3)*(6 - 3 - 1) + 424*c - 424*c - 2*c**2 - 15*c**3.\nAnswer: -11*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5+-4614520802\nAnswer: -4614520807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 808294606?\nAnswer: 2, 7, 2137, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in 2\/5, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 141351, 282719, 424087, 565455, 706823?\nAnswer: 848191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -3*n + 12, -3*h = 5*n + 902 - 882 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1473)\/19640)\/((-2)\/(-2) + 0)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 33389 + 11?\nAnswer: 3339a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - f + 3 = 0. Let s be 11 + (3 - f - 3). What is the remainder when 19 is divided by (-4)\/s + 52\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**2)**(-48) assuming m is positive.\nAnswer: m**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9763, 9765, 9767, 9769, 9771, 9773?\n\"Answer: 2*x + 9761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -l + 4*l + l - 2 + 2 + l + l - l + l - 3*l + 4*l + l + (-4*l + 0*l + 2*l)*(0 + 2 - 4) + 1129*l + 764*l - 64*l - 393*l in the form p + x*l and give x.\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.18346285926135 from -28.\nAnswer: -28.18346285926135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3\/7 - 35828*m**2\/7 + 160455698*m\/7.\nAnswer: 2*m*(m - 8957)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1352904, 1352900, 1352896, 1352892?\nAnswer: 1352888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*((-16)\/40 - (-152)\/30). Let o = 3 - 2. Is x bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 7*b + 42. Let z be u(11). Let o = z + -117. Solve -y + 2*d - 13 = -0*y, 4 = 2*y + o*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393818671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d + 1. What is the tens digit of f(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6\/(-5))\/((-30)\/4600)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -7) + -5 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -52*q**3 + 3*q**2 + 4*q + 1. Let f be x(2). Let t = 677 + f. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - p = 2*p + 27, 4 = -2*m - 2*p. Suppose 2*k = m*q - 103, -3*q = k + 4*k + 205. What is the tens digit of (k\/(-10))\/(12\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4321, 17085, 38285, 67927, 106017?\n\"Answer: k**3 + 4212*k**2 + 121*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2 = 9. Solve -5*k + 5*j = 15, -k + j = 4*k + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -5 + 3*l**2 + 2 - 3*l + 3*l**2 + 8 - 6*l**4 - 11. Let y(o) = 17*o**4 - 17*o**2 + 8*o + 16. Let r(j) = 8*w(j) + 3*y(j). Factor r(h).\nAnswer: 3*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 9813*c + 4283. Let i(d) = -2452*d - 1071. Let j(m) = -25*i(m) - 6*w(m). What is the first derivative of j(t) wrt t?\nAnswer: 2422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 156\/19, 0.085, 1.2?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3218995, -6437992, -9656989?\n\"Answer: -3218997*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*w + 2 + (2*w - 25*w - 27*w)*(1 + 0 - 3) - 9*w + 8*w - 14*w + (0 - 5 + 6)*(0*w + 2*w - 4*w) to the form i + h*w and give h.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 - -3.1. Let q = 644 + -36707\/57. Let i = q - 121\/399. What is the closest to -0.1 in k, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 43 - 26*c**2 to the form r + q*c**2 + j*c and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m + 2. Let f be b(-1). Suppose f*r - 7 = -19. What is the smallest value in -0.4, 2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - z + 12 = -2*z, -4*y + 4*z = 0. What are the prime factors of 1656\/24 + (-2)\/y*6?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - 88. Suppose -7*j + 6 = -22. Is 0\/(j*-1) - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -75*z + 71*z. Which is smaller: z or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-152 - -48) + 19 + 0 + -2 + 3.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n**6*n)*n)\/n*n**5)\/((n**(2\/5)*n)\/n)**(1\/28))\/(n**(-5)\/(n\/(n**1\/n))*(n*n**0*n*n)**(-2\/15)) assuming n is positive.\nAnswer: n**(447\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6928880 divided by 6928880?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 135*h**3 + 3*h**2 - 5*h - 3. Let n(w) = 2*w**3 + w**2 - w - 1. Give -2*b(r) + 6*n(r).\nAnswer: -258*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(2) - (sqrt(2) - (0 + sqrt(98)))) + (sqrt(140)\/sqrt(28))\/sqrt(10) + -4*-2*sqrt(2)*2*5 + -1)**2.\nAnswer: -179*sqrt(2) + 32043\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51314 is divided by 7328?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 40\/93 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129 - 276 = -0*l - 45*l. Solve 4*x = -l*m + 13*m + 32, -3*x + 6 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4199939 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.26+-388\nAnswer: -387.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17.3 + 22.3. Let o be 6\/(-9) + (-3)\/(-9). Which is the smallest value?  (a) 4  (b) o  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 63*n**2 + 4*n + 5. Let b be h(-1). Let y = 51 + b. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/12*2\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*l - 40 = 0, 2*s - 2*l = 3*l - 28. Calculate the common denominator of 254*14\/s*(-8)\/(-56) and -50\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*((-15)\/(-6) + -2). Let n = z + 2. What is the third derivative of -2*v**2 - v**2 + 3*v**4 + 4*v**n wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of h**5\/20 - h**4\/12 - h**3 + 7*h**2\/2 + h + 5. What is q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.8851 and -3.\nAnswer: 5.6553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1302, 1111, 920, 729, 538?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -522.02 and -0.4880326.\nAnswer: -522.5080326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 6*n**2 + 6*n - 3. Let r be b(5). Suppose -l + u + 8 = 0, l + 4*u + r = -10. Let j(v) = -v. What is j(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 296824951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - sqrt(70)*1*1)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 9*d - 13. Let i be j(11). Suppose 3 = -i*g + 30. Suppose -2 = -g*a + 4. Solve -s = -2*q + 12, -3*q + 15 = -a*q - 5*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dlxdddlllooxldx. What is prob of sequence xl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-3)*(-1)\/(-1). Suppose 4*d + 20 = -4*v, -2*v - u*v = 5*d + 20. Let a be (2\/(-6))\/(3\/(-9)). Sort -1, a, d in decreasing order.\nAnswer: a, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*f**4*n - 618*f**3*n - 247*n + 1 wrt f?\nAnswer: -12*f**3*n - 1854*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 10*u**2. Let l(w) = 7*w. Give d(l(j)).\nAnswer: 490*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 4*o + 20, -4*v + 466 - 446 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 2 - 0)*-4 + -2*126\/84\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from {y: 3, s: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 = -17. Put 4, n, 3, 5 in descending order.\nAnswer: 5, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -391 = -3*k + 5*b, 4*k - 336 - 190 = 2*b. What is the remainder when k is divided by 105?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1831?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 39\/9 + (-2)\/6. Suppose k = 5*d - 3*d. Solve d*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -50, -2, 4, -1, 6388 in increasing order.\nAnswer: -50, -2, -1, 3, 4, 6388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1871\/1387 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 560927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*m + 2, 4*u + 3*m = 8*m + 26. Suppose 4*i + 10 = 5*c + i, -8 = -u*c + 3*i. Suppose -c*p = -5*p + 48. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 + 32. Suppose 0 = -q - j + 2, -2*q - q + j + 2 = 0. Calculate the remainder when u is divided by 1\/q + (-7)\/((-14)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -5*y**2. Let h(v) = -193*v**2 + v + 9028. Determine h(p(n)).\nAnswer: -4825*n**4 - 5*n**2 + 9028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*b**5\/3 + 1614*b**4 - 13014*b**3 - 94658*b**2\/3 - 17744*b - 792 = 0.\nAnswer: -66, -1, -2\/41, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/10 and 121\/97550.\nAnswer: 97550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**4\/8 + z**2. Let r(o) be the first derivative of o**2 - 13. Give x(r(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55579730*f**2*z**2 + f**2*z + 97*f**2 + 2*f*z + 228*f + 16*z - 2 wrt z.\nAnswer: -111159460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227*v + 102*v + 580250 = 0. What is the remainder when v is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -313, -1429, -3277, -5863, -9193?\nAnswer: -13273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + g - 9. Solve 2*u + g - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 537652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (3 - (-6 + (6 - 3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5959, 5960, 5961, 5962, 5963?\nAnswer: 5964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**3*d\/(d\/d**(-2\/19)))\/((d\/((d*d**(3\/22)*d)\/d))\/(d*(d*d*d\/d**(20\/7))\/d)) assuming d is positive.\nAnswer: d**(-2417\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v - 7. Let z = -2 - -7. Let x be g(z). Solve -x = 2*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-203)\/(-406)*((-1)\/(-1))\/(3\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 1 + 24 = -2*w, 20 = -5*w. Let i be 21\/x - (-10)\/(-25). Let d = -712\/5 - -142. Which is the third smallest value?  (a) 0  (b) i  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -16. Let t = 8 + -5. Factor 0*p**t - p**3 - 3*p - 2*p**s + 2*p.\nAnswer: -p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 79\/2 of a meter?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - 370\/20)\/(-12 - 0)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of d**8\/56 + 3473*d**7\/42 - d**6\/30 - 9721*d**4\/12 + 3*d - 134. Find the third derivative of g(m) wrt m.\nAnswer: 120*m**3 + 208380*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 3*r + 37, -16*r = -2*g - 11*r + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + a**2 + 4*a + 359. Let n be t(0). What is n rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 116, 106, 96?\n\"Answer: -10*y + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = j + 39, -k - 2*k + 45 = -3*j. Let c = -14 + k. Let i(h) = 2*h**3 + 2*h**2 + 2. What is i(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*(t\/(t\/(t\/t**(-7)))*t)\/t)*t**(3\/17)*t)\/(((t*t**(-2\/3))\/t)\/(t*t\/t**(-1\/6))) assuming t is positive.\nAnswer: t**(-407\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-120)\/100*11065*(20\/12)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 324260959 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - 6 - 15) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*g - 5*z - 30, 0 = -g - 4*z + 10. What is the lowest common multiple of g and (-32)\/(-4)*2\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + w - 4*w)*(-5 - 20 + 5 + (5 + 3 - 3)*(5 - 3 + 5)).\nAnswer: -75*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -18 from -2.7.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 289755739*i - 700688844 wrt i.\nAnswer: 289755739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 not equal to -1856\/1359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pl when two letters picked without replacement from rrplalrppppflaamaaaa?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1444?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -355.8, -115, -18, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-26)\/(-4))\/1 - (-8855)\/(-1150))\/(1\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r. Suppose -12*l = -16*l + 24. Let k(m) = -10*m + 16*m - l*m + 2*m**2. Determine k(y(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4163\/905)\/(1\/5). Put k, -3, -238 in descending order.\nAnswer: k, -3, -238","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9810955*r - 9810955*r + 8*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of g**3\/6 + 45*g**2\/2 + 9*g. What is the units digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00231039 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-274)\/40 + 7)\/(2\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 230541?\nAnswer: 230533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/3 + 121496*i\/3 + 3690319504\/3.\nAnswer: (i + 60748)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1698 and 1236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (14\/252)\/((-9)\/(-36))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -0.2  (c) -0.138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -103*g**2 + 3463*g - 2119. Determine u(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**3 - p**2 + 1. Let y be h(-1). Factor -43*m**4 + 43*m**4 - 3*m**5 + 3*m**y + 0*m**5.\nAnswer: -3*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23185 - 23184.995579. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2187663.39ns?\nAnswer: 0.000000025320178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53\/98 - 2\/49. Let d(f) = 3*f**3 - f. Let t be d(-1). Let l be 3*(-1)\/(-3) - t. Which is the nearest to 0?  (a) l  (b) j  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 20266527, 20266549, 20266571?\n\"Answer: 22*k + 20266505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51554 = -1299*t - 43273 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 256 and 1304736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*o - o. Suppose o = -r - 5*y + 39 + 19, 3*r - 3*y - 192 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -12*n - 74. What is the remainder when t(-13) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - -6. Let s = p + -14. Let g be (-1)\/s*-6 + 2. Is -1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 + 14*a**2 + a + 15. Let m be z(-7). Put -4, m, 3, -6 in increasing order.\nAnswer: -6, -4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7*b + 111. Let s(n) = 11*n + 178. Let p(i) = 5*s(i) - 8*v(i). Give p(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + p**2 + 1. Let a(j) = 66*j**3 - 22*j**2 - 22. Suppose 4*l + 68 = -2*i, -61*i + 62*i = 3*l - 4. Give i*f(d) - a(d).\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/4, 2, -5\/3, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 73327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 2.409696g?\nAnswer: 2409696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -37*p - 25. Let b(g) = 110*g + 80. Let u(q) = -3*b(q) - 8*x(q). Find the first derivative of u(z) wrt z.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + j - 1. Let s(m) = 29 + 32 - 45 - 22*m**3 + m**2 - 3*m. Let z(r) = -3*h(r) - s(r). Find the third derivative of z(v) wrt v.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 66816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 19 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y. Let u(c) = -16*c + 4. Let h(q) = 2*u(q) + 22*w(q). Let r(a) = a**2 - 8*a + 12. Let j be r(4). What is the tens digit of h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48 divided by 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 679\/873*(0\/2 - (-6)\/(-21))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000039332 rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lrtxlxxlcltc. Give prob of sequence ttc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2 = 40. Suppose x = 53 + d. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81, 86, 93, 102?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-95)\/(-95)*(-6 + 1). Let g be 3 + 3*4\/(-12). Sort g, 4, -4, y.\nAnswer: y, -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 65109 and 76947?\nAnswer: 846417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*h + 3. Which is the third biggest value?  (a) 0.06  (b) h  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -9.131.\nAnswer: 3.6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -88*z**3 + 54*z**2 + 59*z - 93. Let y(u) = -39*u**3 + 28*u**2 + 30*u - 46. Let r(c) = 4*w(c) - 9*y(c). Determine r(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6905 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9896 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0717 greater than or equal to -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, y: 3, a: 1, j: 5, v: 2}. Give prob of picking 2 j and 2 v.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/68 - (-10)\/20. Which is the third smallest value?  (a) -1  (b) -1\/10  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12325 = 13*b - 12611. Calculate the greatest common divisor of 902 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 861*l - 2 - 835*l)*(-4 + 12 - 1 + 573*l - 7) to k + f*l + j*l**2 and give f.\nAnswer: -2865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n. Let z(m) be the first derivative of -28*m**3\/3 - 8*m + 2234. Determine p(z(b)).\nAnswer: -56*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -33, 3, -4, -20, -50 in descending order.\nAnswer: 3, -2, -4, -20, -33, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 - -23. Let p(k) = -31*k + 33. Let a be p(d). Suppose -4*q - a = -14*q. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -2*z - 22, z + 1 = 4*z + 4*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 103.095 to the nearest integer.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11805577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (216\/88 - 3)*(-6380)\/2610?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (7 + -1 + 1) - (30 + -26 + -24)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 6*s = -3*m + 20, 0 = m + 2*s - 4. Solve -5 = 3*v - m*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 8 - 14 = w, 0 = 2*s - 2*w + 48. Let v = s - -33. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*o - 15. Sort o, 4, 5 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*q**2 + 1 - 7*q**2 + 9*q + 21*q - 15*q**2 to h + w*q**2 + s*q and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1266\/19  (b) -0.3  (c) -13  (d) -3  (e) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -w - 0*w. Suppose w*d - 48 = d. Let o = -190 + 196. Calculate the remainder when d is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + y - z + 2, -2*y = -4*z + 18. What is the closest to -0.1 in y, 1\/5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3141*f**2 + 1545*f**2 + 1588*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (m + m + 0*m)*(1 - 2 + 2)*(-9*m**3 + 42 - 42) as f*m**3 + d*m**2 + z*m**4 + o + r*m and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*o - 16. Suppose 3*m - o = -3*t + 43, 4*t - 53 = -3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + 33*j**2 + 118*j - 323. Give z(-29).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 46*o + 273. Let i be k(39). Solve i = -n + 3*u - 5, -3*n + u - 19 = -28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 970.85 + -969. Let z = 1.95 - x. Which is the nearest to 2\/7?  (a) z  (b) -0.2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 8 = -0*c. What is the derivative of -i**2 - 11 - 2*i**c + 2 + i**2 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 137 divide 11570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.631 rounded to 1 decimal place?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 877101 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 + 0.99. Let h = 0.39000167 - c. Round h to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 32*l**2 + 31*l - 5. Calculate g(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-81)\/(-15)*5\/315*21*-15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -2, -1233592 in decreasing order.\nAnswer: -0.3, -2, -1233592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 339.1563g in tonnes?\nAnswer: 0.0003391563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 510821688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from ypnnpwnurnnuryynyu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**2\/10 - 2536226*b\/5 - 3216221161538\/5 = 0. What is b?\nAnswer: -2536226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**2 - 595*u - 1210 = 0 for u.\nAnswer: -2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + (43 - 11 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -7) + -3 + 0 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5197 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -82, -5, -2, -4 in decreasing order.\nAnswer: 3, -2, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12.2535 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14) - (sqrt(112)*3)\/sqrt(8))*3*-2)\/(sqrt(18)\/sqrt(9)*5 + sqrt(24)\/(sqrt(84)\/sqrt(7))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 9:02 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(459)*-1)\/sqrt(9) + sqrt(51) + sqrt(1275)*-2)\/(sqrt(33)\/(sqrt(396) + sqrt(11)) - sqrt(33)\/(sqrt(275) - sqrt(11))).\nAnswer: 280*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/21 and ((-178)\/42)\/(-105 - -100).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 divided by 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.62 + -29.62. Let m = -33 - t. Which is bigger: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1638169.186319 - 1638168. Let n = t - 1.187. What is n rounded to 5 decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - (1 + sqrt(153)) - 1*sqrt(833))**2 + sqrt(68)\/sqrt(324) + sqrt(1377) + -5.\nAnswer: 208*sqrt(17)\/9 + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*i - 86*i - 141 = 699 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 9 + 0 + 343*h**2 + 5*h**3.\nAnswer: 5*h**3 + 343*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -84 - -87. Suppose s*t + 3*t + 36 = 0. Let l(b) = -103*b - 4. Is l(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-28)\/(g**(2\/45)*g))\/(g\/(g*g**(3\/2)*g)*g**28) assuming g is positive.\nAnswer: g**(-4909\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 1004*k**2 + 123*k + 692. What is the ten thousands digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 35 = -3. Let x be 6\/10*(23 + g). Let j(w) = x - 23*w - 2 + 22*w. Calculate j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 - q**2 - 66931*q**3 + 65027*q**3.\nAnswer: -1904*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*s + 9582 = -531*s + 2*o + 1990, 32 = -s + 5*o for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 1\/2  (b) 9\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 226205 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 100 + -179. Let x = 68 - z. Suppose 0 = 2*o - 2*w - 102, 3*o + 2*w = 3*w + x. Calculate the greatest common divisor of 432 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*w, 4*h - 6 = 135*w - 137*w. Which is the closest to 1\/3?  (a) h  (b) -0.1  (c) -274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -2.792246?\nAnswer: -1.396123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2543?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 2436390?\nAnswer: 2436390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1808*m**2 + 9025*m**3 - 1801*m**2 - 1804*m**2 + 5413*m**2.\nAnswer: 9025*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/150)\/(72\/90)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*a + 36*a = 2*j, -8*a = -j. Solve j = 2*q + q, -5*g + 11*q = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - 232156.\nAnswer: -232183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14467117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-14)\/((-168)\/36)*1. Let j(q) be the first derivative of 0*q + 3\/4*q**4 - 3*q**2 + 9\/5*q**5 - l*q**3 + 1\/2*q**6 - 19. Determine b so that j(b) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 514144 (base 6) in base 10?\nAnswer: 41104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -42290770 divided by -3914?\nAnswer: 10805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 - -10120222211010?\nAnswer: 10120222210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -900 or -335961\/373?\nAnswer: -900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 22523, 22522, 22521, 22520, 22519, 22518?\n\"Answer: -x + 22524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 1\/9, 3, 16188878?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1429 (base 13) to base 11.\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 20. Let j = s + 1. Put j, 4, -1, 1 in ascending order.\nAnswer: -1, 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -355110401 (base 6) to base 2\nAnswer: -11001011111000111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1 + 2 + (-188)\/(-8)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 37174 = 5*s + 12334, 5*s - 123665 = -5*u. What are the prime factors of u?\nAnswer: 11, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 + -92?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 4*y**2 + 4*y. Let j be u(3). Suppose -5*i + j = -4*i. Let r = 2 + i. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 619511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.4 - 2.4. What is the smallest value in 1, x, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-1\/4)\/(u\/u**(-2)*u)*(u*u*(u**(-1\/2)\/u)\/u)**(1\/58) assuming u is positive.\nAnswer: u**(-247\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 15*l**3 - 45*l**2 - 7*l - 2. Let g(a) = -46*a**3 + 134*a**2 + 19*a + 5. Calculate -11*b(j) - 4*g(j).\nAnswer: 19*j**3 - 41*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -12045 at most -12046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 7:55 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -567878 = -479*k + 6230090. What is the smallest common multiple of 18 and k?\nAnswer: 127728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/10*(-85)\/51. Solve -3*h = 2*f - 0 + 1, -4*h = 2*f + y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**4\/24 + x**3\/6 + x**2. Suppose n - 26 = 4*a, 0*n + 5*n - 3*a - 45 = 0. Let p(w) = -5*w - 7. Give n*t(s) + p(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 194 and 247253?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55293?\nAnswer: 3, 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m - 3. Let l be h(2). Suppose -2*v + 26 = 6*r - 2*r, 2*v + l*r = 21. Find the second derivative of 16*y - y**3 - 9*y**3 + 2*y**3 - v*y**3 wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*(s\/(s\/(s\/(s*s**(1\/10)))))\/s*s)\/s)\/((s*s\/s**(1\/6)*s*s)\/s))\/(s**(1\/5))**(-2\/9) assuming s is positive.\nAnswer: s**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n**4 - 8*n**4 + 5*n**4 - 2*n**3)*(-3 + 1 + 6 + (1 + 0 + 0)*(-5 + 4 - 1)) to f*n**2 + y*n + a*n**3 + i + p*n**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**4 + 32225*z**3 + 15221370*z**2 + 2481004460*z + 136016691560.\nAnswer: 5*(z + 166)**3*(z + 5947)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2 + 4)*((4 - 4 - 5)*(-j**2 + 1074 + 5*j - 1074) + (-2*j + 2 - 2)*(-2*j - 3*j + 3*j)) as s*j + a + z*j**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199 - 80 = -17*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 5)*(96\/(-168) + 3\/(-7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -9  (c) -10.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/2*(-6 + (-930)\/35). What is the greatest common divisor of 342 and m?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h + 10*h - 14*h - 28 + 53 - 13 - 26. Let a(q) = -q**3 + 4*q**2 + 2*q - 6. Let u be a(4). Suppose u*t - 3 = 9. What is g(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 12 - 4 - (5 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 22*o**2 - 51*o - 72. Let n be s(-24). Which is the second smallest value?  (a) 27\/5  (b) 1\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 11 = z, 5*f + 4*z - 32 = f. Determine y, given that -15*y**3 - 13*y**3 - 3*y - 2*y**2 - 4*y - 4 + 29*y**f = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (4 - -4) - (-10 + 3 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - j**2 + j + (-5*j + 2*j + 4*j)*(0 - j + 0))*(10 - 8 - 15*j**2 + 0).\nAnswer: 30*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 11 = -2*q - 2*m, -m + 38 = 2*q. Suppose 0 = -5*b + 4 + q. What is the highest common divisor of 20 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6)*x\/((x\/x**2)\/x)*x)\/(x**(2\/3)*x\/(((x\/(x\/(x*x*x**13)))\/x)\/x*x)*x) assuming x is positive.\nAnswer: x**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1094138*n**2*s**3 + n**2*s - 22*n*s**3 - 2*n*s**2 - n - 801*s**3 + 2*s wrt n?\nAnswer: -2188276*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -92317, -92312, -92307, -92302?\nAnswer: -92297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -108 - ((52 - -40) + -91).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -148266471 + -1?\nAnswer: -148266472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -2*t + 6. Suppose t*n - 265 = -2*n. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 720452 and 63399776.\nAnswer: 63399776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-30 - 90\/(-10)) + 10 - -21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9469211 micrometers to meters.\nAnswer: 0.0000009469211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-9)\/3)\/(-3) + 7. Suppose -6*p + a = -2*p. Let x be 2\/4*1*p. What is the nearest to x in 1, -2\/11, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3236323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/11 and 35187 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.023 - 14.477. Let b = x + 17. Let c = -2.4999965 + b. Round c to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175 + 73 = 4*u. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117698391 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**6\/8 - 25*l**4\/24 - 20*l**2. What is the second derivative of s(p) wrt p?\nAnswer: 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*24\/(-56)*(-7)\/16.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s + 26*s - s + (3 + 2 - 4)*(s - 1 + 1) + 3*s + 0*s - 2*s.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-251)\/1255*(-10)\/6. Which is the closest to -10\/3?  (a) h  (b) -10  (c) 0.5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-481)\/(-2574) + ((-147)\/18 - -3*(-40)\/(-15)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141724?\nAnswer: 2, 11, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**2 + 88*m - 36 = 0 for m.\nAnswer: -18, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((0 - -1) + 3)*(-10)\/(-8). Suppose 3*b - 73 = 10*q - 11*q, -l*b = -3*q - 131. Let v = -4 - -9. Calculate the highest common divisor of v and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 63, 104, 145?\n\"Answer: 41*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.33 - -1.33. Which is the third smallest value?  (a) x  (b) -3\/4  (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2. Let x(d) = -55*d - 595. Calculate x(p(s)).\nAnswer: 110*s**2 - 595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of 781*f**7\/42 - f**5\/10 - 602*f**3\/3 + f**2\/2 - 11549*f. Find the second derivative of v(b) wrt b.\nAnswer: 15620*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/28 + 2\/7. Which is the second biggest value?  (a) -6  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*p**3 + 9*p**3 + 34*p**3 + 33*p**3.\nAnswer: 50*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 2:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8)*8\/(-5))\/(107310\/(-3975) - -27).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/(-25))\/(2\/15))\/(186\/(-1240)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 3.460174311.\nAnswer: -4.460174311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 35 - 14 - 9 + 55*a + 3*a**2 - 12 as h*a + v + w*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 9 = 2*j - 8, 3*a = -4*j + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(-20) + (-2)\/((-24)\/369). Put -5, 0, z in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2187 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -791, -1576, -2361, -3146?\nAnswer: -3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -708, -2363, -5120, -8979, -13940, -20003, -27168?\n\"Answer: -551*l**2 - 2*l - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 215 and 370345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o. Suppose 2*z + c = -z + 4, -3*c + 12 = 0. Suppose 0 = -z*p - 3*p + 24. Let t(g) = -2*g + g - p*g - 2*g. What is t(f(j))?\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 88?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6094 = -241*c + 5594 + 3557 - 1749 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 217*t + 16511 - 6095 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from vvmvvvhvmgvhvvmv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 19337250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 70 divided by -70\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2.3 times 1352108\nAnswer: 3109848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -166, -6, -2, 10, 3, -8, 51 in decreasing order.\nAnswer: 51, 10, 3, -2, -6, -8, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00058547 rounded to 6 dps?\nAnswer: -0.000585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1262 + -500. Let y = z - 762. Which is the closest to -1?  (a) 0.3  (b) 1  (c) -0.4  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/7 - 18*q**3\/7 + 48*q**2\/7 - 32*q\/7.\nAnswer: 2*q*(q - 4)**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -2\/3*s**3 + 0 + 4*s**2 - 13*s + 1\/12*s**4. Let o be r(4). What is the highest common factor of 64 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 9*a - 30. Let q be z(0). What is the common denominator of -73\/56 and (q\/9)\/(16\/39)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4272585 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, k: 4}. Give prob of sequence kbk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 0, 1\/3, -14, -22, 3.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 161363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 5*d - 3 - 7, 2*m + 3*d + 8 = 0. Suppose 3*s - 39 = 5*a + 28, 53 = 3*s + m*a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -20*s**3 - s**2 - 2*s - 1. Let h be n(-1). Differentiate 7 - h - 8*v**4 + 15 with respect to v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -118566, -118565, -118564?\n\"Answer: o - 118567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 242\/22 - (-3 + -12442) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 2*b - 5*k - 6, 4*k + 55 = 5*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -37*p - 2. Sort 5, p, -2, -5 in decreasing order.\nAnswer: 5, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*g + g. Suppose 4*j = -d + g + 18, 5*j + 4*d = 26. Suppose 2 = -y - v, v - 2*v - j = -y. Which is the nearest to 0?  (a) -3  (b) -0.5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*h**3 + 43*h**5 - 136*h**5 + 111*h**5)*((1 + 1 + 0)*(3 - 1 + 0) + 0 + 2 + 1).\nAnswer: 126*h**5 + 154*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2255*y**2 - 3588*y**2 - 3058*y**2.\nAnswer: -4391*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -125*h + 8874. Calculate w(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -266 - -373. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -4*t + 12. Does 17 divide t\/10 - 1939\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7235 * 0.0875\nAnswer: 633.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197072286.\nAnswer: 2, 3, 37, 71, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + 10.5. Let k = v - 20. Which is the third biggest value?  (a) 4  (b) k  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -122, -144, -130, -68?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 733 is divided by 243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 55\/2*i**3 - 334*i - 3*i**2 + 1\/4*i**4 - 440.\nAnswer: (i - 4)*(i + 2)**2*(i + 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 448.11 - 48.85. Round f to 0 decimal places.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73*4\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l + 1. Let k(i) be the third derivative of i**5\/24 - i**4\/6 + i**3\/3 - 2*i**2. Let y(p) be the first derivative of k(p). Determine 9*a(t) + 2*y(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -2431244132?\nAnswer: 2431244140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -8267 divided by -541?\nAnswer: 8267\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17484442*a**2*p**3 + 185*a**2*p**2 + 17*a*p**2 - 14*p**2 wrt p?\nAnswer: -104906652*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1121802 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 4*z + 3*z)*(-z + z - 2*z)*(-3*z + 2*z + 0*z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5\/4, -238843, -0.01 in increasing order.\nAnswer: -238843, -0.1, -0.01, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5436 divided by 16.\nAnswer: 1359\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**3\/5 + 2100*o**2 - 3271971*o\/5 + 3261468\/5 = 0.\nAnswer: -3788, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9767595*q**3 + 2745*q**2 - 9*q - 56?\nAnswer: 58605570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + (-5)\/10)*4\/35. Factor -4\/7 + m*v + 2\/7*v**2.\nAnswer: 2*(v - 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 + -0.32. Let x(l) = -l**2 - 5*l - 2. Let o be x(-3). Which is the closest to -0.1?  (a) o  (b) 0.3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118395.\nAnswer: 3, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 6 - (8 - 0)) + 18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 285, 0, -4 in descending order.\nAnswer: 285, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 170 = -3*v, -3*v + 5*t + 135 = -v. Let d = v + -329\/6. Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1202110 + -200?\nAnswer: -1210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*m - 33*m**3 + 32*m**3 - 2*m**4 + 1 + 3*m to h*m**4 + z + i*m**2 + v*m + p*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 33, 143, 351, 675, 1133, 1743, 2523, 3491?\n\"Answer: 3*f**3 + 31*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -31.4, 0.05, 6.5, 2, -0.2 in decreasing order.\nAnswer: 6.5, 2, 0.05, -0.2, -31.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 + 156*u + 160.\nAnswer: -4*(u - 40)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -8*y**3 + 132*y**2 + 1452*y + 5328. Let h(x) = 5*x**3 - 132*x**2 - 1452*x - 5327. Let a(q) = 4*h(q) + 3*w(q). Factor a(v).\nAnswer: -4*(v + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 119*k**5\/4 + 669*k**2\/2 - 615*k - 1. Differentiate c(m) with respect to m.\nAnswer: 1785*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26992 divided by 964.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.3885 to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.366 - -16.41. Let q = 0.044 - c. What is the third biggest value in 5, q, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 2*f = 6, 0 = -5*p + f - 2*f + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 PM and 5:09 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -1657501?\nAnswer: -1657476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -17. Let i be g + 4*(-3)\/(-6). Solve -i*p = 4*k + k + 25, 20 = 4*p - 4*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -77730000 to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-3)*(4\/(-64))\/(86\/(-2064))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 14, a: 1}. Give prob of picking 2 t.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 23691 = 5*r, t + 9486 = 2*r - 3*t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -3  (c) -0.78  (d) -1  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2615*i + 2624*i - 9 = 0. What is the nearest to -0.08 in 3\/7, -5, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29981 and -0.1.\nAnswer: -29981.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16008, -16768, -17538, -18318, -19108, -19908, -20718?\n\"Answer: -5*j**2 - 745*j - 15258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -230187417 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.1, 423\/4, 20, 0.5, -2\/9.\nAnswer: -2\/9, 0, 0.1, 0.5, 20, 423\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*n + n - 28, -47 = 2*n + 5*t. Suppose 4*v = 12, 3*g = 3*v + 10 - 40. Let u = g - n. Solve -3 = 3*s + u*h, s - 2*s + 3*h - 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 0. Let u = 285 - 165. Let v = 120 - u. Which is the second smallest value?  (a) v  (b) -4  (c) -3  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-3)*(-54)\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/23)*i*i\/(i\/((i\/(i\/((i**19*i)\/i)))\/i)))\/(i**(3\/47)\/i)**25 assuming i is positive.\nAnswer: i**(45933\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + s + (s - 1 + 1)*(5 - 3 + 0) - 66*s - 51*s + 51*s - 4*s - 2*s + 4*s - s + 0*s - s + (s + 3*s - 3*s)*(3 - 3 + 1) + 77*s + 3*s + 68*s.\nAnswer: 82*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -5. Let v(q) = 0*q**2 + 2*q**2 + 2*q**w. Let p(g) = 5*g**2 + 26*g**2 - 14*g**2 - 10*g**2. Determine v(p(a)).\nAnswer: 196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -24*t**4 - 3534*t**3 - 774292*t**2 + 4741842*t - 7160996. Let h(d) = -2*d**4 + d**3 - 3*d - 2. Let u(l) = -10*h(l) + y(l). Let u(s) = 0. What is s?\nAnswer: -446, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -22 + 7871?\nAnswer: 7848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 476440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 301 + 311. What is the smallest common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 86178 != -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 341231 - 148435582\/435. Let s = k - -2\/87. Let f = -377\/42 + 53\/6. Sort f, 0.1, s.\nAnswer: s, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*h = 12*h + 16. Suppose 2*k + t = 3*t + 42, -3*k = -5*t - 61. Suppose n + h = k. What is the remainder when 87 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27008 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((-3890250)\/1236688) + (-4)\/(-6). Let j = u + -1186\/741. Let z = -1\/250 - j. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 8 - 3. Suppose -h + x = -227, h + 2*x + 0*x = 218. Let v = 228 - h. Solve -z - i = 2*a, -2*a - 11 = -v*z + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 - 22*a - 68. What is the hundreds digit of w(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 0, -0.4, -4, 4\/3, -0.02?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/1 - -6 - 0. Let t = w - 7. Suppose 6 = -t*v - 0*v. What is the nearest to -1\/4 in v, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + g**2 + 17*g - 6*g + 21. Suppose 10 = -5*m, -3*m + 7*m = -2*a - 22. Is 3 a factor of j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 248*s**2 + 14134*s - 8616882?\nAnswer: 496*s + 14134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (0 - 5) + (-6 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 50*g**2 - 24*g + 13. Let l be a(-5). Is 1383 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9806  (b) -0.2  (c) 1  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 5*o + 4*o**3 + 24*o - 5*o**3 - 11*o - 79*o**2 - 9*o to g*o + i*o**2 + d*o**3 + q and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 333925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 485 - 1045 = -3*r, -3*t + 5*r + 1538 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8137 and 632.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2356*f**2 - 18*f - 21. Is j(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68075967 by 1.\nAnswer: 68075967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 4*y - 7. Let o be u(3). Sort o, -5, 4 in descending order.\nAnswer: o, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1289501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1224, 2, -1, -3, 11 in ascending order.\nAnswer: -5, -3, -1, 2, 11, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/3 + 10964609*j\/3 + 10964608\/3.\nAnswer: (j + 1)*(j + 10964608)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, u: 2, x: 4}. Give prob of picking 1 z and 1 x.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 4 - (-40 + 58)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*(-12)\/294 + (-225)\/(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -6)*182\/(-65). Let c(l) be the second derivative of l**5\/20 + 5*l**4\/4 + 13*l**3\/6 - 11*l**2\/2 - l. What is the units digit of c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {r: 14, e: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -47*j**4\/2 - 6398*j**2 - 7632. Find the second derivative of k(y) wrt y.\nAnswer: -564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-82)\/(-45) - 128\/576. Let p(k) be the first derivative of -7*k + 0*k**4 + 0*k**2 + 3 + 0*k**3 - v*k**5. What is the derivative of p(c) wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4202 + 4205 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58935?\nAnswer: 3, 5, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by (-238)\/(-833) + (-193)\/7*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, -3, 1, -8 in decreasing order.\nAnswer: 1, -3, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c*i - 11*c*z**2 + 227*c + 2*i*z**2 - i*z - 2*i - 33*z**3 - 1 wrt z.\nAnswer: -22*c*z + 4*i*z - i - 99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 688088 or 688090?\nAnswer: 688090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**2 - 3998*i + 65270. What is c(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**4\/12 + 5*z**3\/6 + 7*z**2\/2 - 15*z. Suppose 7*v = 4*v - 15. Let p be k(v). Do p and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -4094.5074803.\nAnswer: -4093.5074803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 6:20 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2096 + 3022. Calculate the remainder when z is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123 - 5*m**3 + 2*m - 819*m**2 + 63 + 60.\nAnswer: -5*m**3 - 819*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -69, -5, -10, 8, 4.\nAnswer: -69, -10, -5, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 8 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(-4) + 1710\/360. Let j(t) = t**2 + t - 1. Let f(c) = 5*c**2 - 5. Let d(n) = 21*n**2 - n - 21. Let s(y) = -2*d(y) + 9*f(y). Give l*s(w) - j(w).\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 2*d = 0, -b - d - 2 = -4. Sort -6, -5, b, -4 in decreasing order.\nAnswer: b, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 2973 = -3008 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l. Let i(g) = 2*g**2 - 202*g - 11462. What is h(i(c))?\nAnswer: -4*c**2 + 404*c + 22924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -78 + 116 + (-5 - (1 + -2 - 2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5 - 8*l**4 - 38*l**3 + 52*l**2 + 37*l - 44 = 0 for l.\nAnswer: -4, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (-18)\/24 - (-45)\/(-12). Is 13 a factor of 668 - (p\/2 + -2 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*o = 6350, -2*o + 366 = 2*k - 2190. Suppose -5*x + 100946 + k = 0. Let f = 9556 + x. Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 365*r - 4668. Let p be w(13). Calculate the greatest common divisor of 1177 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/27))**(2\/51) assuming j is positive.\nAnswer: j**(4\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -5*m - 40, 0 = -2*l + 225*m - 226*m + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*x**2 - 2*x**3 + 9*x**2 + 4*x**2 + 9*x**2 to the form j + k*x**3 + w*x**2 + l*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -5*i**3 - 4*i. Let c(f) = -f**3 - f. Let b be ((-56)\/(-21))\/((-2)\/(-3)). Give b*c(a) - l(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -388*m**4 + 619*m**2 - 619*m**2 + (-m - m**2 + m)*(-m**2 - 3*m**2 + 3*m + 5*m**2) to k*m**2 + l*m**4 + v*m + f*m**3 + g and give l.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10796524.8 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2268431 or 2268414?\nAnswer: 2268414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 47949.4065 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17160 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 5, 910 in increasing order.\nAnswer: -2, 1, 5, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2936 - 58?\nAnswer: -2992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 39*f**2 + f - 1. Calculate the remainder when i(2) is divided by -28*(-5 + (-75)\/(-21)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 3*i - 6. Let c(q) = -q**2 + 9*q - 15. Suppose 18 = 2*b + 5*o, 5*o - 6 = 4. What is the smallest common multiple of i and c(b)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -4*u - a, 26 = -3*u + 3*a + 8. Let y be (6 - 2)*4\/u. Let q = -226\/7 + 32. Put -3\/8, y, q in descending order.\nAnswer: q, -3\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -83, -97, -111, -125, -139, -153?\n\"Answer: -14*k - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -105*d + 109*d, 6 = -3*b - 5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-28) - (0 - (-70451)\/(-6328)). Let u = -104\/113 - g. Let d = 2461\/14 - 178. Calculate the common denominator of u and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 7*q**2 - 1. Let w be c(1). Let f(b) = 9*b - 3. Let i(l) = 8*l - 3. What is w*f(p) - 7*i(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + 5 + (11 - -7) + (-1 - (18 - -6)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 9*f**2 + 14*f + 6. Let x be p(-7). Suppose 0 = -x*i - 10 + 88. Solve -5*y + 2 = -i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37847, 37785, 37725, 37667?\nAnswer: 37611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 9*u - 157. Let a be w(18). Let b(k) be the third derivative of -2*k**2 + 0*k + 0*k**3 + 0 + 1\/54*k**a + 1\/54*k**4. Let b(h) = 0. What is h?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence od when two letters picked without replacement from ododo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 5*r + 2307, 0 = -5*i - 5*r + 10*r - 2895. Suppose -p + 591 = -472. Let c = i + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*o - 3*o + 2*o**2)*(o**2 + 0*o**2 + o**2) + 2*o**4 - 1 + 1)*(-1 - 2 + 6).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 3\/7, -5, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (5*(-1088)\/(-12000)*15)\/(24\/(-10))\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9546 is divided by 1058.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**2 + 162104*t - 486276 = 0. What is t?\nAnswer: 3, 40523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 100.8006\nAnswer: -504.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 163694693 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798 is divided by 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41\/11 - -183\/55. Which is the third biggest value?  (a) -1\/2  (b) 650\/21  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5826 + -5826. Let a(l) be the second derivative of c*l**4 - 19\/6*l**3 - 2\/3*l**6 + 0 + 0*l**5 - 6*l + 0*l**2. Find the second derivative of a(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -248*z - 894*z + 36*z in the form m + h*z and give h.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 240*g - 4800.\nAnswer: -3*(g - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 10*g**2 - 6*g - 4. Is 10 a factor of x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 108533479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/16)\/7*-35*(-12)\/(1560\/26).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/137, -0.27397, -5\/4?\nAnswer: -0.27397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*j - 34511 = -3*b + 99*j, 0 = 3*j + 6. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) 0  (c) 26  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 6*x + 7. Let q(n) = -n**3 - n + 3. Let c be q(0). Let h be (-1 + c + -2)\/2. Let r(v) = v - 5. Let f be r(h). What is p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in -136, -2\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -10*i**2 + 8*i + 9. Let v(g) = g**2 - g - 1. Let c(w) = -l(w) + 2*v(w). Let r(h) = -h**2 + h + 1. Give 2*c(q) + 22*r(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 5:59 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 40*w**2 - 126*w - 126. Let u be z(43). Solve -3*j - u = -4*r, 10*j + 5*r + 4 = 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 199\/4988412 and -56\/3135.\nAnswer: 24942060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llnnnln. Give prob of sequence lln.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -18*210\/252*5\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**2*w**2 + 3053795*j**2 - 108*w**2 - 3414*w wrt j.\nAnswer: -2*j*w**2 + 6107590*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -106700 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of u**2\/2 + u. Let z(v) = 2*v + 5 - 3*v - 2*v + 4*v. Let s be (2\/(-2))\/(5\/(-10)). Determine s*k(m) - z(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1882 divided by -2.\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, t: 2, c: 5}. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0097?  (a) -1\/5  (b) 1\/3  (c) 249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-3) - (-35)\/(-3). What is the least common multiple of 74\/4 - (-6)\/c and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14333835\/68 equal to 210791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -29, -43, -55, -65, -73?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 313833198 divided by -156916599\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/126*(-504)\/(-2940)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**5 + 12*y**4 + 45*y**3 - 30*y**2 - 132*y - 72 = 0. What is y?\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -19026.996 + -13794345\nAnswer: -13813371.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -254, 3 in ascending order.\nAnswer: -254, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46 - 40. What is the third derivative of -20*w**a + 8*w**6 + 0*w**2 - 19*w**2 + 10*w**6 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-9)\/((-4)\/(6\/6)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 3  (c) -1\/3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93673689?\nAnswer: 3, 17, 233, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + 1 + -5 - sqrt(19))*2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*15.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1051 - 6675?\nAnswer: -5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10.98 - -0.25.\nAnswer: -10.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-16800)*5*(-12)\/8)\/((-27)\/(-108)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 0*n - 54 = 0. Let x(m) = 16 - 7 - n - m**2. Let b(i) be the second derivative of -i**3\/3 + 5*i. Give b(x(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 7*m - 3. Let r be x(-5). Let z = r - -67. Solve 2*i - z = -0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 + 24.00000063. What is q rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132 = 38*p + 96 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2964817013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x + 2*c - 9, 5377*x - 6*c - 43 = 5382*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-68)\/(-24) - 3\/(-18). What is the derivative of 3*x**4 + 5*x**4 - 2*x**4 - 3 - u*x**4 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 731, 2731, 6039, 10655, 16579, 23811, 32351?\n\"Answer: 654*x**2 + 38*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9, 313\/4, 480?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 343036 is divided by 6237.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -1)\/((-4)\/(-6)). Suppose -2*h - 4*s = 3*h - 10, -3*h + 6 = 3*s. Solve r*z**4 - 3*z + 2*z**3 - 2*z**2 + z**5 - 1 + 2*z**5 - h*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 195 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 77632822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -30 - -92 - 6.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4340.7678494 - 4652.76785341. Let g = q + 312. What is g rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 122303 - 2?\nAnswer: 122301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 5*r - 22, -4*r + 12 = -60*h + 62*h. Is h less than -109\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p**3 + 18*p**2 + 11*p - 95. Let f(j) = j**3 - 2*j**2 - j - 1. Determine -18*f(u) - 2*x(u).\nAnswer: -2*u**3 - 4*u + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*u = 65 + 13, 0 = -5*u + 30. Calculate the highest common divisor of k and 3438.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 + 69*p - 4297. What is d(43)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20\/40 + -1 + (-402)\/(-4). Suppose 0*s = -5*s + c. What is the least common multiple of 44 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -210210 (base 3) in base 11?\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -11*w**3\/6 - w**2 - 5*w - 17. Calculate t(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-54)*5)\/(136\/272).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*y + 121*y + 106*y + 109*y - 603*y + 137*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(9\/((-216)\/(-620))). Which is the closest to 0.1?  (a) -2  (b) 0  (c) 1\/11  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00460033243 rounded to seven decimal places?\nAnswer: 0.0046003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 25794193, 25794203, 25794229, 25794277, 25794353?\n\"Answer: s**3 + 2*s**2 - 3*s + 25794193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5.96, -5, -875.\nAnswer: -875, -5.96, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -62 divided by -219174\nAnswer: 31\/109587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 97 and -1.55.\nAnswer: 95.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 - 28508*h - 203176516.\nAnswer: -(h + 14254)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 5. Let i = -5 - y. Calculate the common denominator of (-1)\/(-4) + 227\/i and -63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -68 and -571 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r + 3*r - 15 - r. Let m be p(17). Sort 1, -13, m in descending order.\nAnswer: m, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 - 10)*1\/3. Let w(d) = -4*d - 6. Does 7 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*f - 11. Let a(h) = -h + 6 - 3*h + 7*h + 4*h + h**2. Determine a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 + 143 + 2295 = -206*p. Which is smaller: p or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-70)\/(((-10)\/4)\/5). Let l be 5*7\/(f\/8). Suppose 0 = 2*z + 3*s - 126, 0 = l*z + 3*z - 5*s - 265. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12955 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1836 - -2012. What is the remainder when h is divided by 162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*u - 3*u. Let q be 10\/u*(-5 - -2). Suppose 3*h = q*k + 7, -4*h + 60 = 2*k + 16. Calculate the highest common divisor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 3*n + 1. Suppose -u + 4*x = 3*u, -u - x + 8 = 0. What is f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.2  (b) 2\/5  (c) 9  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 191a - -44?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**5 - y**5 + 3*y**5 + (-5*y + 4*y + 3*y)*(3711*y**2 - 12*y**4 - 3711*y**2))*(0 - 1 + 0) + 3*y**3 + y**5 - 3*y**3.\nAnswer: 26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -706714.666 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*h**2 + 2*h**4 - 2*h**4 - 3*h - 8*h**2 - 3*h**4 - h - 8 in the form a + b*h**3 + x*h**4 + y*h**2 + o*h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nsvc when four letters picked without replacement from {s: 2, r: 1, c: 1, n: 2, v: 1, l: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 206063?\nAnswer: -61818.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-55 - 3 - 17 - 25)*(-3*p**2 + 8*p**4 + 2*p**2 - 5*p**4) as i*p**2 + w*p**4 + k*p + s*p**3 + r and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102, -9, -75 in decreasing order.\nAnswer: -9, -75, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 569087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 644 a factor of 79212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -43*v**4\/12 + 4*v**3\/3 + 19*v**2\/2 + 10. Let s(o) be the second derivative of z(o). Is s(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 7:48 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/3))**47*s*s\/s**7*s**7 assuming s is positive.\nAnswer: s**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98)*-2*-2)**2 - sqrt(98) - ((2*sqrt(98) + 1 - sqrt(98))**2 + sqrt(98)))*-4.\nAnswer: -5876 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3965575*o**4 - 2555*o - 138 wrt o?\nAnswer: -47586900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i - 28. Let p be a(5). Let w be (-7)\/((-77)\/p) - 31\/(-11). Suppose x - w*m + 10 = 0, 0*x + 5 = -4*x + 5*m. Solve -8*q = -x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 270 + -154. Let m = 89 + r. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -161, -159, -159, -161?\n\"Answer: -z**2 + 5*z - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.894829 nanometers to micrometers.\nAnswer: 0.000894829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (((-7)\/(-14))\/(-3 - -4))\/(1\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 89, -221, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5 + 107 = -3*w, 0 = i + w + 104. Let x = -79 - i. Let f = x - -116. What are the prime factors of f?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -2*p**2 + 418880*p - 21932556800 = 0.\nAnswer: 104720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 5. Suppose 0 = -7*q + 4*q - 3*d + 93, -j*d = 9. Suppose 5*w - 21 - q = 0. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3631159606 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -26*g**3 + 2*g**2 + 30007*g + 24950759.\nAnswer: -78*g**2 + 4*g + 30007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(4 + sqrt(125) + 3 + (sqrt(125) - (-1 + sqrt(125) + sqrt(125))) + -1 + 5 + -5))**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 5. Suppose -2*y - z*m = 9 - 29, 3*y = -2*m + 28. Suppose y = 4*k - 16. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -21218024*y. Let d(u) = 13*u. Give d(x(s)).\nAnswer: -275834312*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -936.089 and -3.\nAnswer: 2808.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-40)\/7)\/(-8)*(-2)\/(-15). What is the smallest value in 2\/9, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 5*j**2\/2 - 1126. Let y(q) be the first derivative of -3*q**3 - 1. Give a(y(s)).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 800101985.\nAnswer: 5, 160020397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r**3 + 26*r**2 + 32*r + 12. Let q(w) = w**3 + 9*w**2 + 11*w + 4. Let f(v) = -4*l(v) + 11*q(v). Is 8 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/14, 0.5, -2\/13, 4\/9, 2\/9, -3 in descending order.\nAnswer: 0.5, 4\/9, 2\/9, 1\/14, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, x: 3, g: 3, p: 8}. What is prob of picking 1 m, 1 g, and 1 p?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6\/109 + -461\/1526. Let o = t - 36\/7. Let g = 2\/5097 - 93449\/10194. Calculate the common denominator of g and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + r - 67640 = 0, -273*r = j - 278*r - 33864. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4420635 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19891, 19829, 19709, 19501, 19175?\nAnswer: 18701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 990 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 7643385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -456 divided by -1?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21031332 - -233203?\nAnswer: -20132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 304, 595, 870, 1123, 1348?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 112794 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*p + 599 = 5*p, 4*p - 994 = -5*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i - 3. Let x be h(-3). Suppose x*n - 18 = 3*n. Let g be 9\/2 + (2 - (-25)\/(-10)). Calculate the highest common divisor of n and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1104, -1505, -1904, -2301, -2696, -3089?\n\"Answer: q**2 - 404*q - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, 4, 0.2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5\/3)\/(26\/468). Calculate the common denominator of (-41)\/(-1 + 2*8) and 22\/4*g\/(-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -203 or 2\/180025?\nAnswer: 2\/180025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 28772.\nAnswer: 5\/28772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -400225185 less than or equal to -400225185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 126 (base 7) to base 9\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g*(g**(1\/38)*g)\/g)\/g**22)**(25\/6))**(-2\/9) assuming g is positive.\nAnswer: g**(6325\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 300203 - -3?\nAnswer: 300211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -10. Solve 0 = 5*j - f*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -710.4 - -710.6. Which is the second smallest value?  (a) 0.4  (b) r  (c) 4  (d) 0.01  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -3*c**5\/8 + c**4 - c**3\/4 - 3*c**2\/2 + 4*c - 6. Let s(z) be the first derivative of r(z). Solve s(b) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -54249, -217006, -488267, -868032, -1356301?\n\"Answer: -54252*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-135)\/30*(-1 - 1). What is the highest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(1\/4))\/f*f*f*(f*f**(1\/4))\/f*f)\/(f**(-1\/8)*f**(-1\/5)))\/(f**(1\/2)\/(f\/f**2)*f**4\/(f\/(f**(1\/4)*f))) assuming f is positive.\nAnswer: f**(-77\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18 + 8*z**2 + 18 + (4*z + 3*z - 5*z)*(4*z + 0 + 0) - z**2 - 1 - 2 + 2.\nAnswer: 15*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tntwtxxtxwn. What is prob of picking 2 t, 1 w, and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(35\/(-21)) + (-26)\/9 + 0.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -f. Suppose -f*a + 72 = -128. Are 39 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.6297ml in litres?\nAnswer: 0.1586297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 4430?\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 - 175*t**3 - 1895*t**2 - 6225*t - 4500.\nAnswer: -5*(t + 1)*(t + 4)*(t + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56408 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1696356 + 1696292 - 3392783 + 5*u - 2*u - u - 4*u.\nAnswer: -2*u - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 3. Let y = 7104 - 21311\/3. What is the nearest to y in 2\/17, m, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101359 is divided by 72.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -1 + (-2 - -6) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/7, 0.284, 5, 1\/2, -1278, 27\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 5*n + 6. Suppose 3*u - 6 = u. Suppose 4*q + 23 = -r, u*q + 16 = 3*r - 5. Let m be t(q). Which is smaller: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -61a - -2dd23?\nAnswer: 2d707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 86984, -343, 3 in increasing order.\nAnswer: -343, 3, 86984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 37718711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -l + 5 + 5, 3*l - 12 = 3*u. Let r(d) be the third derivative of 0*d + 0 + 0*d**l + d**2 + 1\/24*d**4 + 0*d**3 - 1\/120*d**6. Factor r(f).\nAnswer: -f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -241*9.\nAnswer: -2169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 7, -584203.\nAnswer: -584203, -14, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5910, -11876, -17908, -24030, -30266, -36640, -43176?\nAnswer: -49898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 11*o**3 + 3*o**2 - 8*o + 7. Let u(b) = -5*b**3 - b**2 + 4*b - 3. Let s(w) = -3*t(w) - 7*u(w). Factor s(k).\nAnswer: 2*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.372 - -0.372001829. Round d to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 - 1 + 3 + 5 - 8*k - 9 - 178*k**3. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6981*y - 13954*y + 6976*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/(-4 - -2) - 3. Let v(g) = g**2 - 8*g + 12. Let k be v(8). Let z = k + x. Is z equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25826 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -236.6857 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**3 - 21*o**2 + 3*o - 33. Let j(c) = 3*c**3 - 9*c**2 + c - 15. Let h(n) = -5*j(n) + 2*y(n). Give h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/503514 and -5\/1418994.\nAnswer: 15608934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 5*z**2 - 6*z + 5. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(1134 + 1143 - 2171)*(1 + r - 1).\nAnswer: -106*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -5301*r + 68912. What is g(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 791487 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/12*-88 - 1*-3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9*18\/(-24) - 7. Which is the closest to t?  (a) -3  (b) -0.18  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(1\/8)*g\/g**(2\/17))\/((g*g\/(g**(1\/7)\/g))\/g*g*g\/g**9))**(1\/5) assuming g is positive.\nAnswer: g**(6569\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 60 + -28 - 25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4527335459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 169, 337, 505?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 + 25*v + 128. Let j(s) = -s**2 - 4*s + 5. Let r be j(-5). Let y = r + 6. Calculate the lowest common multiple of i(-6) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22636 is divided by 10846.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -4*r - 36. Calculate m(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**2 + 6*k - 6. Let l be o(3). Let h = l - 32. Suppose h = 3*v - 80. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 595.1688l to millilitres.\nAnswer: 595168.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 778 = 4*x, -2*x - 3*w + 7*w + 376 = 0. Suppose -30*o = -x - 138. What is the lowest common multiple of o and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23713276 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -27 + d8?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 7:28 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.6 - 5. Let f = r - -0.7. Let a = 2706\/13 - 208. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from didiilnlldiii. Give prob of picking 1 l, 1 d, and 1 i.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 329.4639m to millimeters.\nAnswer: 329463.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4756 (base 12) in base 13?\nAnswer: -3834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -70\/9 - -359\/45. Put w, 2\/17, 5, -22 in ascending order.\nAnswer: -22, 2\/17, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-3444)\/35)\/(-6)*(-6)\/8 and 121\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-33))**(-26)\/(y**37*y*y**(-2\/39)*y) assuming y is positive.\nAnswer: y**(30929\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c + n = 3*c + 443, -3*n = 15. Let q = c + -13. Calculate the highest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.07, -0.5, 2\/11, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207 is divided by (-544)\/(-13) + 16\/104?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3383236572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/4697?\nAnswer: -2\/4697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59438*x - 35853 with respect to x.\nAnswer: -59438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/20 and 1\/448?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 113 - 103 - ((-4 - 1) + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-2)*16\/6. Let z = 598918 + -598915. Determine o, given that -9\/2*o**x - z*o + 3\/2*o**5 + 3\/2*o**3 + 9\/2*o**2 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8526 - 8461. Let p = -2 + 4. Calculate the remainder when x is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 521243 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/8  (b) -7  (c) 0.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 + -15.7?\nAnswer: -138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -81 + 55. Let i = d - -5. Let o = i - -20.999991. Round o to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + d = -18. Suppose -t = -5*r + 115, 0 = -d*r + t - 3*t + 69. What is the remainder when 85 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1468 is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*q**3*s**3 - 17*q**3*z - 5*q**2*s*z**3 - 3*q*s**3*z - 7*s**3*z**3 + s**2*z wrt s.\nAnswer: -48*q**3 - 18*q*z - 42*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.4481.\nAnswer: 0.4481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 1a055?\nAnswer: -1a053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 318772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -4 + -1*(-46 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.02 + 0.82. Let r = p - 0.3. Suppose 5*n + 29 = -3*c, 0 = 8*n - 3*n - 3*c + 11. Sort n, -1\/4, r in ascending order.\nAnswer: n, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 572*z - 586*z = -196. Calculate the remainder when 2028 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of n**4\/6 - 7*n**3\/3 - 4*n**2. Calculate the remainder when 71 is divided by y(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-5 - -6) + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 - -13. Suppose 8*i = 81 + l. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (1042 - 1023 - (-2 + -2 + -126))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 303941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 10000?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/52 in -3, 1, 19, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 5*p - 4*m, -139*m + 136*m + 6 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4}. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21631721.\nAnswer: 21631721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74787466?\nAnswer: 2, 13, 521, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17900?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 333278225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21.03 + -20.43. Which is the closest to 0.1?  (a) -0.35  (b) d  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 1:12 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/8 + x\/2 - 5\/8.\nAnswer: (x - 1)*(x + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, b: 19}. What is prob of picking 4 b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(48)*2)**2 + (-1 + sqrt(3) + 1)**2 + sqrt(3) + -5.\nAnswer: sqrt(3) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 105356 - 72716. Does 96 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 95*t + 28 = 46*t + 50*t, -5*j + 5*t - 140 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, 1, 8, 15, 22?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - 0*c. Suppose -p + 3*v = -c, -11 - 7 = -3*p + 4*v. What is the remainder when 17 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**2\/2 - 4*f + 1. Let q = 177 - 189. Let s(l) = 1. Determine q*s(n) - 3*m(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aywwma. What is prob of sequence mwy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8.94+10.9\nAnswer: 19.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 266645156*x**2 + 266645202*x**2 - 533290309*x**2.\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1719*c**6 - 284*c**5 - 7*c**3 - c**2 + 2381*c - 1202?\nAnswer: -206280*c**3 - 17040*c**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjaa when four letters picked without replacement from aaajaj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 101 + 1101?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5393 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/9)\/((2 - (0 + -1)) + 16826\/(-5640))\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 3968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 744 and 3359284.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuyyy. What is prob of sequence uy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*u = -8. Let s be (-3)\/12 - (-9)\/u. What is the derivative of 2*g**3 - 2 + 3 - s wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/556  (b) 373  (c) -194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/1715688 and -67\/416?\nAnswer: 6862752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 7*r**2 + 5*r + 5. What are the prime factors of w(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhcdchhchdhhhdhhwch. What is prob of sequence chwh?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**2 + 46836*q + 187296.\nAnswer: 3*(q + 4)*(q + 15608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08029, 2, -0.2, -5, -2\/33 in decreasing order.\nAnswer: 2, -2\/33, -0.08029, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47170\/3 + 235856\/15. Let h = 0 + 1. Let j = h - 0. What is the closest to 1 in 2, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -8*s**2 + 8*s - 1. Let g(q) = -25*q**2 + 17*q - 1. Let y(k) = 26*k**2 - 14*k. Let c(b) = -3*g(b) - 2*y(b). Calculate 6*c(l) + 17*f(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y**4 + 315*y**3 + 590*y**2 - 1260*y - 2440 = 0 for y.\nAnswer: -61, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**2 - 58*v + 156 = 0?\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2673)*1 + sqrt(2673) + sqrt(33))\/(2*sqrt(243) - sqrt(243)) + -1 - (4 + (sqrt(99) - (sqrt(99) + 1)) + -4 + -4).\nAnswer: 4 + 19*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1474, 1619, 1754, 1873, 1970, 2039?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2363 divide 184864579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1867, -832, 0.3?\nAnswer: -832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 68*i - 367. Give t(73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -3  (c) 60\/47  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6623ad (base 14) to base 9\nAnswer: -6458231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9879.432 millilitres in litres?\nAnswer: 9.879432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 524568 and 15188628?\nAnswer: 334149816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 34147*p - 34152*p + 34 = 0, m = 2*p - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 8:13 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -114?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 330066 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 680*b - 222490. Give r(328).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 642 = -4*l + 3*l, -3*h - 5*l + 976 = 0. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -3, 49, -2 in increasing order.\nAnswer: -4, -3, -2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 85086 and 3712.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*b + 8608 = 8544 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -s**4\/4 + 823*s**3\/6 - 260*s**2 - 8*s - 40. Find the first derivative of j(r) wrt r.\nAnswer: -6*r + 823","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15940.6759 rounded to the nearest 10?\nAnswer: -15940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 136 and 1625064?\nAnswer: 1625064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 10}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 238 or 214?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94*k**2 - 5 - 1 + 3 - 181*k**2 + 1 to n + r*k**2 + q*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 849 - 867 = 5*b - 3*n, 3*n = b - 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 17119.\nAnswer: 3423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 - -10. Suppose -3*b = -5*v + 21, -b - v = 4*v - 13. Let q be z\/b*8\/10. Solve 5*d = -q*m + 33, 2*m - d = d - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 13*l**6\/10 - 9*l**5\/4 - 11*l**4\/4 + 15*l**3\/2 - 3*l**2 + 37*l + 2. Solve z(p) = 0 for p.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 + 4. Calculate v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 7*k**2 - 5*k - 5. Let c(s) = -s**3 - 6*s**2 + 6*s + 4. Let p(y) = -5*c(y) - 6*j(y). Let u be 0\/((-1)\/(-1)) - 12. Is p(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50 (base 6) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24.89 + -0.11. Let w = f + 25.1. Suppose 5*y = -0*n + n - 12, 3*n = -5*y - 4. What is the third smallest value in w, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-3) + 44\/3. Let v be 74\/z + 2\/(-7). Suppose 6*f - 13 = v*f. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 84 = -28. Suppose 7*x - o = 5*x. Suppose -k = -x - 17. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.1 + -1.4. Let s = t - 0.7. What is the nearest to s in 0, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815 is divided by 391.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - b = -27, -5*b = -2*c - 0*b + 9. Suppose 7*r + 55 = c*r. What is the lowest common multiple of 10 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7568.516 meters?\nAnswer: 7568516000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.035 - -0.053. What is t rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of j**4\/4 - 2*j**3 + j**2\/2 - 5*j + 85. Let q be 3\/2*2*2. Let d be u(q). Which is bigger: -1\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 59, 5, -0.4?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/3)\/((-6)\/288*4). Find the second derivative of -180*t**2 + 184*t**2 + 7*t**v - 2 - 11*t + 2 wrt t.\nAnswer: 84*t**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -9 + 12 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -11*s + 12*s. What is the remainder when (-16)\/12 - (4 + 518\/(-6)) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -5*n**3 + 6*n**2 + 67. Let x(c) = -14*c**3 + 17*c**2 + 201. Determine 17*r(w) - 6*x(w).\nAnswer: -w**3 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2536024937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 732512640 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 339, 1302, 2889, 5100, 7935, 11394, 15477?\nAnswer: 20184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*v**3 + 10*v**3 - 40*v**3 + 17*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1200\/2250)\/((-3)\/18)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -37*w + 1480. Let a be c(31). What is the highest common divisor of a and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 11*h**2 + 2*h - 5. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 times 104.8\nAnswer: 628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 3. Suppose -n*y = 6, 6*u - y + 78 = 2*u. Let r be (u\/6 + 3)*-12. Solve -2*p = -2*z + 5 + 1, 0 = 3*z + r*p + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -38*k - 232 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 249 + -11203\/45. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-2)*-1 - -3. Suppose 0 = r*k - 22 + 2. Suppose 5*s - 17 = k*q + 13, 5*q = -5*s. Is 3 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2001210122002 - -2?\nAnswer: -2001210122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -i**4\/24 + i**3\/2 - 3*i**2\/2 - 1. Let g(u) be the second derivative of o(u). What is the derivative of g(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7657 and 1010152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1078*-66320.\nAnswer: -71492960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/890 and -53\/1850?\nAnswer: 164650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 459 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 2:58 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 less than or equal to 625\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2964)\/(-990) - 3)\/(188\/(-1128))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/6)\/((-476)\/21).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116279.\nAnswer: 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -4 - 3*a**2 - 33*a + 7*a**2 + 12*a**3 + 34*a. Let v(f) = 12*f**3 + 3*f**2 - 3. Let n(y) = 3*c(y) - 4*v(y). Find the second derivative of n(i) wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -8. Let u be ((-8)\/(-70))\/((-6)\/(-15)). Let l be 15\/(-12) - 2\/8. Which is the closest to d?  (a) 0.1  (b) l  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22573*s + 3*s**3 + 22573*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 99 or 1295\/13?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = -3 + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 462 is divided by 354?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o - 1 + 0*o**3 - 4*o**2 + 3*o**2 - o**3. Let l(h) = 8*h**3 + 9*h**2 - 8*h + 9. Let b(c) = 39*c - 57. Let x be b(1). Determine x*i(v) - 2*l(v).\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2. Let g(v) = 13*v - 9. Let q be g(2). Let z = q + -8. Let t(y) = -12*y**3 - 5*y**2 + 14*y**3 - 9*y + z*y. Give 4*p(x) - t(x).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 5*s + 5. Let w be x(-5). Suppose -5*o + o = -140. Suppose -w = -5*g + o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -104 - -102. Is 1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26050, -26056, -26066, -26080, -26098, -26120, -26146?\nAnswer: -26176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -4*p - 3. Calculate the remainder when 17 is divided by a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 883660 divided by -1955?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 316 - 347 - (-2 - (-11 - (1 + 4)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + 6*(-6)\/9. Let w be (-106)\/22 - (2\/(-44))\/((-5)\/20). Sort w, 1, f in decreasing order.\nAnswer: 1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 10:40 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 14 - (-4 - -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 11:27 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*o = 84 - 32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*t + 18 = 2*t, 2*c - 2*t = 20. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3332*0.24.\nAnswer: 799.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*6.33\nAnswer: -0.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f*h**2*t - 2*f*h*t**4 + 3*f*t**4 - 17*f*t**2 + 41*h**2*t**3 + 2*h**2*t**2 - 2*t**2 - 3 wrt t.\nAnswer: -48*f*h*t + 72*f*t + 246*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 6*v**3 - v**2 - v - 1. Let m(w) = -7*w**3 + w + 2. Let f be ((-2)\/4)\/(1\/(-10)). Let r(o) = f*m(o) + 6*s(o). Calculate r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(96\/(-252))*1\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.0580065340947+37\nAnswer: 37.0580065340947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -102123 (base 4) in base 14?\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 24, 6, 274 in descending order.\nAnswer: 274, 24, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 5. Let g(o) = o. What is u(g(i))?\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10032120 a multiple of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x**2 - 103*x - 110*x - 107*x + 320*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -275, -395, -363, -173, 181, 705?\n\"Answer: b**3 + 70*b**2 - 337*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t + 4*p - 22 - 8, 13 = -t - 0*p + 3*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n - 45. What is j(12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214543 is divided by 839.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 4, w: 2, e: 1, u: 2, o: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -69 - -2?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**2)**(-5\/11)\/(q\/(q\/q**1)*q)**12 assuming q is positive.\nAnswer: q**(-259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132728 divided by -16591.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -619363273, -1238726545, -1858089817, -2477453089?\nAnswer: -3096816361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**3\/4 - 8101*o**2\/2 + 1351655*o\/4 = 0. What is o?\nAnswer: -16285, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 7. Let h = 7 + -13\/2. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*-1)\/(4\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -653155?\nAnswer: 653151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*n + 88. Calculate the smallest common multiple of 2 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r - 640476*r**3 + 320418*r**3 + 320332*r**3 - 3*r.\nAnswer: 274*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147941 = -5*q - m, 5*q - 2*m = 44953 + 103000. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/11  (b) -1\/12  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.23 - -8.1537. Let x = 36.9237 - i. Put 0.2, x, 1 in decreasing order.\nAnswer: x, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - d = -84, -4*b - 2*d + 7 = -65. Solve 2*a = -6*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.27 - -62.27. Let y = u - 62.06. Which is the second biggest value?  (a) y  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159353 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z - 6. Suppose -3*p + 8 = -25. Suppose p = 5*q - 9. Let l(d) = 0*d - 2*d - 3 - d + q*d. Determine -3*f(c) + 5*l(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**3\/2 - 11*i**2\/2 - 2265*i\/2 + 11475\/2 = 0.\nAnswer: -45, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dzoodooztttaotzao. What is prob of picking 1 a and 2 z?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1121 in -2, -4, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*r**3 - 17*r**3 - 14*r**3 + (-r**2 + 2*r**2 + r**2)*(2*r + 0*r - r) to the form b + f*r**3 + y*r + m*r**2 and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f = -18 - 27. Solve 3*o = -4*s + 13, 2*o - f = o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 160016.7 millilitres?\nAnswer: 160.0167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-6*5*sqrt(27).\nAnswer: -450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 20 = 4*y + 80, 0 = -3*y + 6. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -711*b - 4. Let p(g) = -g - 1. Let t(v) = 5*p(v) - z(v). Let r be t(1). Suppose -2*l - 3*l = -r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 1000101?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 51, 31, 3, -33, -77?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 14*l**2 - 52*l + 11. What is o(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 18694.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 372*o**2 - 1208*o**2 + o + 372*o**2 + 391*o**2 to the form k*o + v + z*o**2 and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -363 * -0.7\nAnswer: 254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 0.0725.\nAnswer: -0.4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*y**3 - 19553*y**2 - 13*y + 59 + 19553*y**2 wrt y.\nAnswer: -33*y**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 + 62 = -3*a. What is the remainder when 606 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36446 take away 1002.945517?\nAnswer: -37448.945517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k = 104*k + 3358*k - 3445 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1603 is divided by 108?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 - (-3 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99930850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9.7 times -0.3\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47210, 47204, 47194, 47180, 47162, 47140?\nAnswer: 47114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21587 = 638*c + 20521 for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 q when three letters picked without replacement from btppqbrzzzpqzqz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2003935179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 4 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 1. Suppose -3 = 3*u, -49 = -t + 2*t - y*u. Let a be 2\/11 - t\/(-44). Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/10 and -43\/3756988?\nAnswer: 18784940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/9 + (-2)\/(-6). Suppose 2*d - 1314 = -4*y, -p*y = 3*y - d - 1653. Does 33 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12292708 to the nearest integer?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - a - v - 2*v + 13 = 4*a, 15*a - 5*v + 130 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -21*p**2. Let h(c) = 66272356*c. Calculate v(h(z)).\nAnswer: -92232528565605456*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8.39 + 10.61. What is the smallest value in c, 1\/2, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-15)*-1)\/(1\/(-5)). Solve 16 = -3*j - h*s, -2*j + 0*s = s + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (24 + -16 - -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 20 - 32 + 12 + 9*i**2 + i**2. Let k(u) = 11*u. Give k(c(z)).\nAnswer: 110*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 258529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -143  (c) -1.66  (d) 5  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102101 - -2?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -15516*i - 1753301. What is w(-113)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a**2 + 4*a - 4*a)*(-9*a**2 + 8*a**2 - 3*a**2) + 173*a**4 - 5*a**4 + 513*a**4 as v*a**2 + i + g*a**3 + x*a**4 + d*a and give x.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 97*t**6 - t**3 - 157*t**2.\nAnswer: 11640*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, j: 3, e: 5}. What is prob of picking 1 q and 3 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*k - 17 = 21, k - 16 = -2*c. What is the units digit of (-38)\/(-95) + 2136\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 5*p**2\/2 - 3*p - 17. Determine b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/1505187 and 37?\nAnswer: 1505187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -29*l + 2. Let v be p(-1). Let a = -26 + v. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 19. Let p be 6 + s - (-1 + 1). Solve p*m - 13 = 3*q, 3*m - m + 22 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 6*h - 42, -3*v + 2*h - 118 = -258 + 70 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 9*j**2 + 13*j - 15. Suppose 0 = -34*w - 44 + 180. Calculate the remainder when f(10) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3239262941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -5*h + d + 167, -4*h = 2*d - 178. Suppose 2*r + 3*x - 28 = 7*r, -5*x = 20. Let u = r + 20. Calculate the remainder when h is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.023 + -0.397. Let s = 0.02 + b. Let f = -1.9 + 2. What is the nearest to f in -2\/7, 3, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 - 17378752*h**2 - 18876313817344*h.\nAnswer: -4*h*(h + 2172344)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8078886023\/5400 + 1496090. Find the common denominator of -95\/4 and o.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**4 + 218*l**3 - 1336*l**2 + 1792*l = 0. Calculate l.\nAnswer: -224, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2*1\/(-24)*-66*(-84)\/(-22869)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 1606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 4 - (-2 + (5 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 103 - 15. Let r be f\/6 + (-8)\/12. What is the highest common factor of 126 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -399051680*y**3 + 318537257*y**2?\nAnswer: -2394310080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {w: 10, h: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/2136 and -3\/8?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - j + 5 = -3, 0 = y - 2*j + 6. Suppose -x - 5*r - 1 = -3, -3*x + 6 = y*r. Suppose 4*w + 1254 = x*u, 0*w - 1903 = -3*u - 5*w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from biwwzbbywz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.82 from -31484239.\nAnswer: -31484237.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -18338 times -0.1722?\nAnswer: 3157.8036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from skssskkzksszkkssskk. Give prob of picking 2 k and 1 s.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**3 + 15*f + 15*f - 30*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.12851184 times 13\nAnswer: 1.67065392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9c (base 14) to base 13\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*i + 43*i - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 131861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (3 + 1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 5*f - 5. Let k be w(4). Let r = -16 + k. What are the prime factors of -3*(r + (-31)\/3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18687422 is divided by 2489.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4305414, 4305415, 4305416, 4305417?\nAnswer: 4305418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 298, -2.\nAnswer: -2, 5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43550 by -4355.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-102)\/15 + 33\/(-165)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 85, 0.0495646?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/35*(-30)\/(-36).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 1:20 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69191 - 43680. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -223*w**4 - 162*w**2 wrt w?\nAnswer: -5352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12536293 divided by -6?\nAnswer: 12536293\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-3))\/((-519)\/261 + 2). Let u = -24 - g. Solve -3*i - 2*j - 12 = -i, -u*i + 5*j = 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1100) + 1)*1)**2 - (sqrt(1100) + sqrt(1100) + 1 + 2 - sqrt(1100))) + -1.\nAnswer: 10*sqrt(11) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 61811.4us?\nAnswer: 61.8114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 - -7. Is ((-24)\/w)\/(2\/18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of 0*h**3 + 0*h + 1\/6*h**4 + 0*h**5 + 0 - 11*h**2 + 0*h**6 - 1\/70*h**7. What is the second derivative of f(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**3 - 34*q**2 - 2*q + 50. What is h(17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -161, 5\/6, 14?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 9, -3*h - 351129 = -4*h + 4*d. Is -2 + h\/24 - 22\/(-176) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and 313.77632?\nAnswer: 313.67632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 118\/5 + -24. Which is the nearest to r?  (a) 1  (b) -4  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 14*m - 19. Let k be i(11). Let q = k - 2. Suppose -4*c = -q*c + 1168. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-1\/3))\/((n\/(n\/n**4*n))\/n)*(n**(-1)*n)\/(n**(-1\/3)\/n))**(7\/3) assuming n is positive.\nAnswer: n**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13632120 divided by 1363212.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100 - 110001011000?\nAnswer: -110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 180 = -5*s + 4*i, -4*s - 2*i + 126 = 0. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1593\/11 - 145. Let f = m - -19\/44. Which is the smallest value?  (a) -1\/2  (b) f  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 488231 + 48332248.\nAnswer: 48820479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/72*-118*988\/102011.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 55\/(-11) + 19 - ((-1 - 1) + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, l: 10}. What is prob of picking 1 p and 3 l?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*a - 0*n + 3*n, 3*n = -6. Let h(v) = -2*v - 8. Let x be h(-6). Suppose -3*c + c = -x. Put a, c, -5 in ascending order.\nAnswer: -5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/80*-45*(-8)\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 178 - 1712 = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/(-4))\/((-21 + 38)\/(-34)). Solve -7*g = -26 + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/24*27\/2. Let w = t + -2. Solve 2*j + 3*h + w = 0, -h + 1 = -j - 0*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37406708663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -126716*d**2*j**2 - 24160*d**2*j + 25*d**2 - j**2 wrt j.\nAnswer: -253432*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17bb (base 16) to base 11.\nAnswer: -4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1 + sqrt(72) + sqrt(2) - ((3*sqrt(2))**2 + 4)).\nAnswer: -18 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/5)\/l*l\/((l\/l**(2\/7))\/l)*l*l**(-4)*(l\/l**(2\/31))\/l)**(-20\/9) assuming l is positive.\nAnswer: l**(13796\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 1011110010001100000011011000?\nAnswer: 1011110010001100000011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 500540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3202522 - 4?\nAnswer: -3202530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*o = 2532 - 70, -a = -2*o - 494. Calculate the least common multiple of a and 656.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 3657 divide 303712607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6 + 2*z**3 - 51 - 75 - 61*z + 23 wrt z.\nAnswer: 6*z**2 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -460.14 - 9444.16. Round v to the nearest 100.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-165)\/220*(-400)\/(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v + 574 = 62*v + 33*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**3 + l - 2*l**2 - 6*l**3 + 7*l**3. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of 420471880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17321 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 458349721 to the power of 1\/3, to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k - 1. Let l be s(2). Let m = l - -2. What is the remainder when 17 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*r + 36. Suppose 0 = 2*x - 6*x + 148. Calculate the remainder when x is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 196 and 670222.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1283, -1286, -1299, -1328, -1379, -1458, -1571?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83940?\nAnswer: 2, 3, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 125898.4 kilometers in meters?\nAnswer: 125898400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**3 - 2*m**3 + 10*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 22*k**3 + 9*k. Let z(i) = -i**3 + i. Let c(m) = m**2 - 2*m + 6. Let d be c(0). Let w(p) = d*z(p) + g(p). Find the second derivative of w(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 11*i + 25. Let y be f(11). Suppose 13*q - y - 1 = 0. Solve 0 = -2*x - 4*z + q, x - 1 = -0*z + 2*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71 + (0 + 15 - (-6 - -31)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = 2*x + 32. What is the tens digit of ((-4 - 0) + x)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 5\/27*n**4 + 14\/45*n**5 - 20\/189*n**7 + 2*n - 8\/27*n**3 + 1\/9*n**2 - 11\/135*n**6 + 23. What is o in d(o) = 0?\nAnswer: -1, 1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 20 = -3*o. Let l = o - 2. Let y(i) = i**3 + 7*i**2 + 7*i + 5. Calculate the lowest common multiple of y(-5) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2*o - 6 = 0, 2*o + 6 = 4*i + 4*o. List the prime factors of ((-1560)\/(-16) + 5)*4\/i.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27878 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*l + 1224 = 0, 15*l = -3*f + 14*l + 1850. Let w = f + -119. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2433, 5525, 9265, 13653?\n\"Answer: 324*n**2 + 2120*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*f + 2 + (-2 + 1 + 3)*(2*f - 3*f + 0*f) + 2 - 2*f - 2 - 1 + 516*f - 317*f - 273*f in the form q*f + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -46, 211, 80, 4, -1, 2 in increasing order.\nAnswer: -46, -1, 2, 4, 80, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -8*v**2 + 27*v. Determine u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48611 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(45*99\/(-22275)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10040, 40075, 90122, 160175, 250228, 360275?\nAnswer: 490310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify n*((n*n*(n**(-5\/2)\/n)\/n)\/n)\/n*n**(3\/5)\/n*n**1\/((n\/n**(-8))\/n)*(n**(-6)\/(n**(3\/5)\/n))\/(n**(2\/7))**(-2\/9) assuming n is positive.\nAnswer: n**(-2071\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, u: 2, g: 7}. What is prob of picking 2 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {r: 2, l: 1, i: 4, j: 1, p: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o + 4*o + 4*o + o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mvmvvvvvmmvmmvvm. Give prob of picking 3 v and 1 m.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -159606126231 and 0.3.\nAnswer: -159606126230.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -38*o - 914. Calculate the least common multiple of h(-25) and 573.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3))**43)**(2\/49) assuming o is positive.\nAnswer: o**(-258\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -97\/6*v**6 + 0 - 6*v + 0*v**2 + 65\/3*v**4 - 27\/2*v**5 - 20\/3*v**3 - 10\/3*v**7. Let r(k) = 0. What is k?\nAnswer: -2, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-25))\/(18\/30)*493\/(-51).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -927+8711598\nAnswer: 8710671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 715336 is divided by 526.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178049 is divided by 21543?\nAnswer: 5705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 644 divide 2257518896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 5.6. Let v = -111.05 + 106. Let u = v + 0.05. What is the second biggest value in g, u, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, b: 2, c: 3, z: 3, d: 3}. Give prob of picking 1 z and 1 x.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 27 + 155 = 0. Let w = -21 + f. Let t(k) = -k**3 + 5*k**2 - k - 3. Give t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i + 4*o = -18*i - 32, -i + 5*o = -37. Suppose -5*q + 5*k = 8 + 2, -5 = -k. Solve -b + q = -i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + 3*6*(sqrt(605) + -1))**2.\nAnswer: -15840*sqrt(5) + 392840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o + 3*o + o + 5*o in the form p + v*o and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 43748 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 14) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2 + 4*c - 2. Let u be f(3). Suppose 0 = -202*b + 201*b - 6. Let g = b + u. Calculate the greatest common factor of g and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14\/2565 or 0?\nAnswer: 14\/2565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 10*d - 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 98953584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.207, 0.1, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7261745 to the nearest integer?\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -7. Let c = p + 6. Let u(m) = m + m + c + m. Calculate u(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 77167*z + 23219 with respect to z.\nAnswer: 77167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 142 = 2*c + 164, 0 = 4*c - 2*w + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -19*s**3 + 5*s + 5. Let y(p) = 105*p**3 - 28*p - 28. Suppose 146*n = 152*n - 48. Suppose -n*v = -32 - 8. Calculate v*y(h) + 28*i(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + (-1560)\/(-536))\/(5*24\/(-40))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*t + 1)*(-7*t + 6*t + 8*t)*(1 - 1 + 3).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34719384 is divided by 152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*j = -0*i + 2, -4*j - 56 = 4*i. Let g(m) = -5*m + 10. What is the units digit of g(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*(-15)\/105*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 5, 104246.083?\nAnswer: 104246.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f + 7*f = 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 223346 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: In base 8, what is -2 + -5605?\nAnswer: -5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, r: 1, e: 3}. What is prob of sequence re?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 7*c - 11*c - 5353 = 0, 3*c = 3*r - 16032. List the prime factors of r.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -1 + 3 + -8 - (-10)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5477 in -7, -0.3, -1, -0.02, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31352014?\nAnswer: 2, 19, 233, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -41560000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1091983 less than 0.211218085?\nAnswer: 1091983.211218085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/(-10)*(303\/24 - 121\/968)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 3:31 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*q + 4. Suppose -3*j + 23 = 4*p, -p + 4*p - 16 = -q*j. Solve -u - p + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -399792614 divided by -5060666\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -770\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 5 = -11*l - 5*r, -l = 4*r + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 86*u + 2320. Give t(-20).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k + 26*k = 14*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5 + -4*(sqrt(567) - (-5 + -2*sqrt(567))) + -4)**2.\nAnswer: 4104*sqrt(7) + 82006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722462553?\nAnswer: 3, 80273617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) -0.03  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 285986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*p - 45. Suppose 2*i + 4 = 0, 0*i + 2*i + 4 = -2*k. Solve k = -2*q - 5*y - p, 3*y + 22 = 2*q - 2*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/14 or 22.1725?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-4)\/3)\/((-10)\/(-3)*4906\/(-1361415))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 436495, 1745991, 3928485, 6983977?\nAnswer: 10912467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 128600, 514462, 1157584, 2057966, 3215608, 4630510?\n\"Answer: 128630*q**2 - 28*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*m = 8, 0 = 3*n + 5*m + 55 - 57. Let w(x) = -7*x - 13. Calculate w(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 422 a factor of 498382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 47340827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37616, -37633, -37652, -37673, -37696, -37721, -37748?\nAnswer: -37777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24310 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.55 + -24.45. Let d = -43 - k. Let x = -10.5 - d. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8\/25 - -22\/225. Put -1\/6, 1\/9, x, 0.09 in decreasing order.\nAnswer: 1\/9, 0.09, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bofo when four letters picked without replacement from booorvfjobvooofro?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 + -26 + (19 - (74 - -20))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, f: 12}. What is prob of picking 3 f?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -6, -5 in descending order.\nAnswer: -5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1746\/776*4\/(-18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 541  (b) -5  (c) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/12 - 8\/128*-8. Which is the nearest to -2?  (a) r  (b) 1\/8  (c) 1\/3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*v + 5*m + 16, -2*m = 2*v. Let l be (v - 3)\/(2\/(-6)). Differentiate -297*s**3 - l*s - 16 + 321*s**3 + 3*s with respect to s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -42 - 9*k**4 + 42 + (85*k**3 - 21*k**3 - 15*k**3)*(-36 + 36 - 6*k) as p*k**4 + z + i*k**3 + x*k**2 + y*k and give p.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-49)\/(-24) + 4\/6 and ((-3)\/(-4))\/(30\/355).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -733, -1448, -2163, -2878, -3593, -4308?\n\"Answer: -715*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in -120, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -711 (base 10) to base 2\nAnswer: -1011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63\/2*(3\/(-3))\/(50*48\/800)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30 * 7.73865.\nAnswer: -232.1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1769 and 12688.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 9*d**3 + 2*d**2 - 11*d + 15. Let p(v) = -5*v**3 - v**2 + 6*v - 8. Let j(m) = -6*l(m) - 11*p(m). Let o be j(2). Suppose -o = g - 10. Is 10 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i - 17. Let n(u) = -u - 6. Let r(g) = -8*n(g) + 3*s(g). Let k be ((-3)\/4 - 5) + 1\/(-4). Calculate r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 253*l = 248*l + 10. Let b(f) = -6*f - 23. Let g(x) = 9*x + 34. Let h(o) = -8*b(o) - 5*g(o). Calculate the remainder when 76 is divided by h(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b - 343850079 + 343850079 + 10*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, g: 7, l: 2}. What is prob of sequence gblb?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1361\/7 + -195. What is the common denominator of r and 62\/65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153803337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30949777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.55 + -0.15. Let g = -2 - -2. Is g less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(360) - 3*sqrt(360)*-3)\/(sqrt(80)\/sqrt(10)*-6).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/9*(-5 - 4). Let f be (-7)\/t*32\/56. What is the biggest value in -2\/13, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11437a4 + -3?\nAnswer: -11437a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2067*t = -124810 + 354247 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.01 - -3.05. What is the closest to -1 in -2\/9, -2, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1029.5321 to the nearest 10.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640) - sqrt(40))\/sqrt(8)*3 - 3*sqrt(125)*-1.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00012033 to 6 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -q - 28. Let i be -1*(3 + -5) + -69. Is q greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4429128.99756 + 4429043. Let i = 1.3 + -87.3. Let x = k - i. Round x to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**5 + s**5 - 4*s**5 + (2 - 1 + 0)*(2 - 5 + 1)*(-6*s**5 + 2*s**5 + 2*s**5).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/4*-1)\/((-8)\/32). Let h be 1\/(-4) - (-146)\/8. Suppose -3*k + 3*y = h, -3*y + 3 = -2*k - 10. Put 4, f, k in decreasing order.\nAnswer: 4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l. Let b be u(2). Suppose 5*y + b = -8. Does 9 divide 11 + (3 - -1) - y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3*(sqrt(363) - (4 + sqrt(363))) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -7  (c) 3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m - 3. Let g be f(3). Suppose -11*n = -g*n + 25. Let h be 4\/(-15)*(n + 74\/16). Sort h, -0.6, -5 in increasing order.\nAnswer: -5, -0.6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nslsntjsnt. Give prob of sequence jnsl.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7 and -62024860180.306?\nAnswer: 62024860187.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3221.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (7 - 1) - (-14 + (-1 - -33))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12.8945 - -0.1055. Let g = 4.4 + -4. Put 0, g, -2, b in ascending order.\nAnswer: -2, 0, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - 12. Let y(k) = 3*k + 6*k - 5*k - j. What is the remainder when 48 is divided by y(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 12 = 5*j - 14, 3*y - 22 = -5*j. Sort j, -4, -165 in decreasing order.\nAnswer: j, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + -3 + (-12)\/(-2). Suppose 4*x + i - 2544 = 0, -x - o*i = 3*x - 2556. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36422241 and 654.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2989.398 litres?\nAnswer: 2989398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1403 - 875. Suppose 0 = 3*f - 172 - 44. Calculate the highest common factor of f and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**3 + 697140*r**2 + 178271232*r + 11405164544 = 0. Calculate r.\nAnswer: -174029, -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*o**3 - 13*o**3 - 6*o**2 + 0*o**2 + 2*o**2 + 1 wrt o?\nAnswer: -3*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 14673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 25*m - 14. Let t(h) = -26*h + 15. Let x(i) = 4*t(i) + 5*w(i). List the prime factors of x(4).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-5 - -42)*(-6 + 7). Suppose 47*f - o = 104. Solve 0*k + 1\/3*k**2 + 0 + 2\/3*k**f = 0 for k.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**9\/(g\/(g*g\/g**(-9))) assuming g is positive.\nAnswer: g**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from knknnkkkxnknxkxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-6)*s*s\/s**0)\/(((s**(-1\/3)\/s)\/s)\/s)**(3\/14))**(-13))**(-2\/13) assuming s is positive.\nAnswer: s**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*43\/((-903)\/(-9)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 6288.8?\nAnswer: -6288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 5*b - 42 = 28*t - 0*t, -4*t = -6*b + 124 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1364304 + 3?\nAnswer: -1364301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 154 by -4.\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - -15. Let a = -7 - -5. Let k be (3 + a)*0\/(-2). Solve k = 2*t + 2 - 0, -5*t = c*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, k: 6, w: 1, a: 1, l: 2, x: 2}. What is prob of picking 1 b and 1 k?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18827083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/5996 and 71\/17988.\nAnswer: 17988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3449481, 3449452, 3449431, 3449424, 3449437, 3449476, 3449547?\n\"Answer: j**3 - 2*j**2 - 30*j + 3449512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1893*y + 52586 - 47221 = 68714 + 38873 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + f**2 - f - 11. Suppose 0 = -21*d + 37*d. Give z(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*j - 6 = 0, 5*q - 14*j + 10*j + 5 = 0. Let g be (-4)\/14 - (-226)\/7. Suppose -3*i - h + g = -6*h, q*i = -3*h. Solve -i*m - 9 = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**4\/3 - 16*b**3\/3 - 64*b**2\/3 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/6 and 61\/10518?\nAnswer: 10518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1\/36  (c) -3\/5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n - 46*n - 239*n.\nAnswer: -282*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 1153*f + 6915. Calculate c(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1023, 3, 1, -1 in descending order.\nAnswer: 3, 1, -1, -4, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.037 and -0.5116.\nAnswer: -0.5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -177?  (a) -2\/5  (b) -3\/2  (c) 0  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.238 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1344600 + 600?\nAnswer: -1344000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 99791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/24 and 121\/6220.\nAnswer: 37320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 6282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 0*x**2 + 0*x**2 - x**2. Let w = 9 + -10. Let n(p) = p**2 + p. Let f(q) = 6*q**2 - q. Let v(r) = w*n(r) - f(r). Calculate j(v(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**4 - 7*s**4 + 5*s**4 + (2*s**3 - 7*s**3 + 3*s**3)*(-2*s + s + 3*s).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 16*v**2 + 16*v + 11. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-4 - (-16 + 6) - -120) - (31 - 19).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d + b + 87 = 0, -b - 69 = 6*d + b + 39 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*l + 8, -h - 4*l + 18 = 2*h. Factor -4*b + 5*b**h - 2*b - 6*b**4 + 10*b**3 + b**4 - 4*b.\nAnswer: -5*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-2 + 3 + -4)\/((-1026)\/(-4446))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 804 - 311. What are the prime factors of x?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 5, -0.01 in ascending order.\nAnswer: -0.01, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s**2 - 13*s**2 + 7 - 7.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4 + (-280)\/(-32) - (-2)\/8. Suppose -h*j + 351 = -1059. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/2)\/((-2)\/8). Let d(n) = n - 2*n - l*n - 2*n. Let q(y) = -2*y. Give q(d(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 6*k**2 + k + 2. Let m be t(-3). Suppose -30*x = -m*x - 16. Put 5, x, -5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15333 + -15264. Solve b*y - 43*y + 104 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274253?\nAnswer: 7, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 5*q. Let d be v(-4). Let i(c) = d + 3*c - 4. Let m(o) be the first derivative of o**2 - 1. Calculate m(i(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1826.4 - -1783. What is the second biggest value in -0.2, u, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1116 - 255 + 795)*(-k + 2*k + 3*k) - 5*k + 4*k + 2*k)*(-2*k - 1 + 1 + (-1 + k + 1)*(-2 - 2 + 2) + 4*k + k - 4*k + 0*k + 0*k - k - 4*k + 4*k + k).\nAnswer: 6909*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + u - 3 = 0, u + 2 - 5 = 0. Suppose y = -2*p - 2*p + 84, z = y - 4*p - 124. What is the highest common divisor of 156 and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 1 + 150687*w - 150687*w - 19*w**2. What is v(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -59826 times 1\nAnswer: -59826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-91)\/28*((-2916)\/234)\/27\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1300 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: What is the highest common factor of 142944 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d = -1038 + 848 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c + 7*c + 90 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110110000101000001101110 - -11?\nAnswer: -110110000101000001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 702, 4, 1, -86 in decreasing order.\nAnswer: 702, 4, 1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/(-18) + 2\/7*7. What is the closest to 13 in a, 0, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 83722.98t?\nAnswer: 83722980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1239, -2684, -4141, -5616, -7115, -8644?\nAnswer: -10209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b - 5*n + 36 = -6*b, 4*n = -5*b + 47. Let r be 5 + (5 - b) - 28403. Round r to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72344*1\/(-14)*42\/(-12).\nAnswer: 2, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n = 223*n - 429 + 2799 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 106530 divided by -134?\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49467 and 14487?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, v: 3}. Give prob of picking 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + t + 4 = 15, p = 5*t + 8. Is -5 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m**4 + 3*m**4 + 0*m**4 + (3*m**3 + 0*m**3 - 2*m**3)*(-m + 3*m - 6*m) to p + g*m**2 + r*m**3 + d*m**4 + y*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 105476200 rounded to the nearest one hundred thousand?\nAnswer: 105500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.27249 plus 4?\nAnswer: -6.27249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -10*b + 17. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(95) + sqrt(95) + 6*sqrt(95) + sqrt(95) + sqrt(95))\/sqrt(5)*-6)**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(34\/765*27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 3, -5\/8 in descending order.\nAnswer: 3, 0, -5\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 206 + -5?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f. Let u(j) = 3*j**2 + 3*j. What is a(u(t))?\nAnswer: -3*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/108*(-21 + (-4554)\/(-220))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 3*z - 6*z)*(-2*z + z - z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.4  (b) -0.3  (c) -1\/177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-39)\/78 + 1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/15*(-6 - (-3 - -2)). Let k(h) = h**3 + 5*h**2 + 2*h. Let f(u) = -2*u**3 - 9*u**2 - 3*u. Calculate b*f(g) - 7*k(g).\nAnswer: g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 - 3)*(0*m - m + 4*m)*(m**3 + 4*m**3 + 0*m**3) in the form v*m**3 + c*m + h*m**4 + p + s*m**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*2)\/sqrt(4) + (-6*sqrt(10)\/sqrt(18))**2.\nAnswer: 2*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, k: 2, x: 5, y: 6, g: 1, u: 1}. What is prob of sequence yg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = -4*q, -2*q + 1 = -3. Let a = w + 7. Let u be a + (-2 - 3) - -43. What is the greatest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y**4 - 5*y**4 + 17*y**4 + (2 - y - 2)*(2*y**3 - 2*y**3 - y**3) - 3*y**2 + 2*y**4 + 3*y**2.\nAnswer: 19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + 51 - 177 = 0. What is the least common multiple of 16 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 7*k - 3. Let j be h(5). Let y = 68 - j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 22*z**2. Let j(x) = 370*x. What is j(k(w))?\nAnswer: 8140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -11. Suppose 8*q - 15 = 3*q. Suppose -6*a + q*a + c = 0. Solve 2*m + 10 = 3*m + 3*r, m - a*r + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 378862?\nAnswer: 2, 11, 17, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 340 + 40. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(84) + (1*sqrt(84) + sqrt(84))*4 + sqrt(84)*-1*-5 + sqrt(84))\/(-4*-4*sqrt(108)*2).\nAnswer: -2 + 5*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 31*x + 7 + 67*x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3961.165006+-2\nAnswer: 3959.165006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/6 and 3 - 4 - 204\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 7 = -5*x + 11, 5*x = r + 12. Let f = 405 + -402. Calculate the remainder when x is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3219, 3, -145 in decreasing order.\nAnswer: 3, -2, -145, -3219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) -0.141  (c) -3  (d) 2  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2338795 by 75445.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -33\/10, 102, 0.5, -0.5 in increasing order.\nAnswer: -33\/10, -0.5, 0.5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 + 8*h**2 + 15*h**2 + (1 - 3*h - 1)*(h - 4*h + h).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11028, 11024, 11020, 11016, 11012?\n\"Answer: -4*j + 11032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8746.482 millilitres to litres.\nAnswer: 8.746482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 16*c + 63. Let r be j(-6). Let n(x) be the first derivative of 3\/5*x**5 + 3\/4*x**2 + 0*x**4 + 2 + 0*x - x**r - 1\/4*x**6. Factor n(q).\nAnswer: -3*q*(q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 189 + -74. Let g = j + -115. Which is the closest to g?  (a) 4\/3  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 15, z: 2, q: 3}. Give prob of sequence wqzq.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + p = -2, o - 4*p + 8 = 7. Suppose 3*d - 4*v + o = 0, 27 = 5*d - 9*v + 13*v. Solve t + 3*w - 3 - 1 = 0, -3*t = 4*w + d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 61750, 123499, 185248?\n\"Answer: 61749*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/3 + 4 + (1126 - 3).\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**3\/13 - 1090*i**2\/13 + 6594*i\/13 - 9918\/13 = 0.\nAnswer: -551, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g. Let l(u) = 54*u. Give q(l(y)).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1082455 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -34*c - 17. Let n be y(-9). Suppose -3*w = 3*r - 8*w - n, -5*r - 2*w + 461 = 0. What is the common denominator of -4 + 1 + r\/(-30) and -139\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f - 5. Let a be (-1 - 2)*((-5)\/(-3) - 2). Let d be y(a). Is d at most as big as -2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 226484, 452970, 679456?\n\"Answer: 226486*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.5116041 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15732?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 8:28 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (40 - 40 - t)*(-14 + 0*t + 2*t + 13) to the form k*t**2 + p + l*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15616 divided by 61.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 4*g + 4*g + (g - g + g)*(0 - 1 + 2))*(3*g**2 + g - g + (-2 + 5 - 2)*(2*g**2 + g**2 - 4*g**2)).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 14. Let x(s) = -86*s + 1651. Let j be x(19). Let d = p + j. What is the greatest common factor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*r**3 - 1 - 22*r**3 + 5)*(0*r + 2*r - 3*r).\nAnswer: r**4 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.94, 0.3, 15\/7?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61, 44, 17, -20?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4 is divided by (4\/3)\/((-8)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/4 + 719*s\/4 - 11895.\nAnswer: (s - 61)*(s + 780)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 8  (b) 2\/3  (c) 0.1  (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xexekxkexkex. What is prob of picking 1 x and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-865)\/(-15) + -50 + (-56)\/4.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4*z**3 + 4*z**2 + z - 7. Let v be p(3). Let l(f) = f**2 - 8. Calculate the remainder when v + 2\/5 + (-68)\/20 is divided by l(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*t**5 - 20 + 20*t**2 - 14*t**2 - 7*t**2 wrt t?\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.702735 kilograms in nanograms?\nAnswer: 702735000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 72 = -4*s, 0*s + 10*s - 27*k = -29*k + 112 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 731*w = 736*w + 25, 3*w + 15 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14255243263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i - 15. Give z(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + ((3 - -4) + -3 - (6 + -5)) - -53.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 33\/(-84)*110\/(-225). Let c = s - -1\/126. Factor -2\/5 + 1\/5*n**2 - c*n.\nAnswer: (n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -265?  (a) -4  (b) 1\/3  (c) -3\/4  (d) 2  (e) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/(-20) - 5 - (-308)\/(-2310)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 53256 and 3426486?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + o + o)*(0 + 0 - 2*o**2)*(o - 5*o + 5*o) in the form p*o**3 + j + v*o**4 + q*o + z*o**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10150243 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 1428\/(-1904)*(320\/6)\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-3 + (14 - -2))) + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/(-6)*(-56)\/98\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, b: 1, s: 2, e: 2, l: 1}. Give prob of sequence eae.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (8\/5)\/4*10\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -21c - c?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s + 8*s + 45136 = 0. Suppose -4*c + 12*c = s. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -1873*i**3 - 395*i**2 + 42*i + 15. Let d(y) = -374*y**3 - 79*y**2 + 8*y + 3. Let k(t) = 21*d(t) - 4*j(t). What is the third derivative of k(w) wrt w?\nAnswer: -2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gyigdigoygzy. Give prob of sequence izi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 9:25 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100 - 11*i**2 + 100 - 2*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 2*i + 3. Let h be d(3). Suppose -4*u + 8 = -h*u. Suppose -6*l = -u*l. Does 1\/4 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-2 + -1 + 5). Let y = 0 - n. Solve -4*k + y = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.32, -1\/5, 0.2, 0.3, -0.5.\nAnswer: -0.5, -1\/5, 0.2, 0.3, 1.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + a - 4 = 0, -b + 0*a - a = 6. Let t(z) = -z**3 - z**2 + z + 4. Let o be t(b). Suppose o*q - 5*q - 125 = 0. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 621 and 7659?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 739*k + 244*k = -19630 - 5928 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 2*b + 8*b. Let q(v) = 16*v. Calculate h(q(u)).\nAnswer: 80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*x - 33*x = 78690. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + (62 - 60) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 3*a - 9, -q + a - 1 = q. Let b(z) be the third derivative of z**4\/3 - z**3\/3 + 2*z**2. What is b(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 8*m + 9. Suppose 0 = -5*t - 38 + 3. Calculate the remainder when 5 is divided by y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/2*(7 + -3). Let l be (-219)\/(-7) - r\/(-14). Suppose 2*n = -10, l = 2*o - n - 4*n. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 17*s + 26. Put s, 3, 6 in descending order.\nAnswer: 6, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11495*b - 11406*b + 22911*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 10:07 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25*c**4 - 3*c**3 + 99*c**2 + 6204 wrt c.\nAnswer: -100*c**3 - 9*c**2 + 198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, z: 9}. Give prob of picking 1 g and 2 z.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(-4)\/((-12)\/9). What is the remainder when 32 is divided by (2\/j)\/((-3)\/153)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13126?\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11416 less than 194082\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -160.09 - -161. What is h rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05 + 0.35. Let f = -1.37 + -0.33. Let y = -0.7 - f. What is the third smallest value in 2, y, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -30 - 993?\nAnswer: -a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-6) + 1011\/9. Let h = -76 + z. Suppose h = -3*a + 7*a. What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1802*h**2 + 899*h**2 + 6 + 900*h**2 - 6.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2172483 rounded to 4 decimal places?\nAnswer: 0.2172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 332285229 + 22*r - 332285229.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w**2 + w + 2. Let q be y(2). Is 2 a factor of 2\/q + (-63)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-70)\/(-21))\/2)\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -562*u**2 - 571*u**2 + 2*u + 1150*u**2.\nAnswer: 17*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 345, 374, 421, 486, 569?\n\"Answer: 9*f**2 + 2*f + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -988?\nAnswer: -1\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002003442 to 6 dps.\nAnswer: 0.002003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -37662794178870 and 25.\nAnswer: -37662794178845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*w + 310 - 730 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 1917?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**3 - 4*x**2 - 2. Let g be a(-3). Suppose 3*w + 3*u = 3, 0 = 2*u - 2 - 0. Solve -4*h + 0*h - g = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3416456591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4\/324)\/((-4)\/(-12)))\/(13\/(-78)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjfjjjjjj.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-342)\/57 + (-23)\/(-3))*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a + 108405*a**5 + 173 + 170 - 107246*a**5 wrt a.\nAnswer: 23180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 8815?\nAnswer: 8813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*s - 77 - 42 = 53 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.050628 plus -280.101?\nAnswer: -280.050372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r + 27339*r**2 - 27341*r**2 + r - 4*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 11:23 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 520524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(704) - -4*sqrt(539))**2 + (sqrt(891) + sqrt(891) + 0 + sqrt(891))**2 + (-1*sqrt(66))\/sqrt(6) + sqrt(11).\nAnswer: 144*sqrt(11) + 22279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z - 11. Let y be d(-5). Let l = 57 - 71. Calculate the least common multiple of (-4)\/y*(-21)\/l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32087075.\nAnswer: 5, 17, 103, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -224*m + 1337*m - 4008*m - 4539*m - 1444*m to s*m + t and give s.\nAnswer: -8878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -268373\/16 - -16779. Let m = 49\/678 - -6697\/2712. Calculate the common denominator of n and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*p - 261, -4*p - 5 + 17 = 0. Let n be 0 + 0 - (-357)\/u. Which is the fourth smallest value?  (a) 2\/9  (b) -0.12  (c) n  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 16 = -m - 2, 3*m + 2*r - 32 = 0. Calculate the greatest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((1 - 0) + 126)\/(-20 - -21). Suppose 2*l - 46 = 4*i, -5*l + 2*i + 2*i = -k. Calculate the highest common factor of l and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 8*q**2. Let h(k) = k**2 + k. Give -5*h(j) + t(j).\nAnswer: 3*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -69552 divided by -3?\nAnswer: 23184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**4 + 18*h**3 - 38*h**2 - 18*h + 40 = 0. What is h?\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -8*z + 5. Calculate p(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37498 - 7833 = -11*g. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -236 + 331. Suppose -5*f = -v + 25. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -j - 2*j. Suppose 4*o - 56 = j. Suppose -3*k + 3*l + 0*l = -42, 3*k + 5*l - o = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(-14) - 5*(-16)\/80?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -66*1\/3*(1 - 2). Is 17 a factor of (-106)\/(-6) - r\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20126.1mm to micrometers.\nAnswer: 20126100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 + 5)\/((-1)\/(-10)) + 38178\/1818.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21367 by 6.\nAnswer: 21367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -58*(-2 - -4)\/(-2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -9573*-0.3\nAnswer: 2871.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/5)\/w*w*w**(-3\/7))\/((w\/w**(-1\/2))\/w)**14*((w*(w*w\/((w*w*w**(-1\/4)*w)\/w)*w)\/w)**(2\/119))**46 assuming w is positive.\nAnswer: w**(-3131\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuccccccuccc. What is prob of picking 2 c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b - 5. Let k be a(-5). Suppose 20*l - 21*l + 4 = k. Solve l = 2*r + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000025887 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2568 greater than or equal to 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -355 + 359. Let n be (-1 - -2)*(2 - 1). Let z(w) = -w**2 + 2*w + 3. Let y be z(-2). What is the second biggest value in y, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 32*a - 33*a - 7, -n + 3*a - 1 = 0. Solve -17*i + 18 = 2*v - 18*i, 5*v = n*i + 41 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 134404 - 134327. Let n be -1*(-154)\/(-2)*-7. Calculate the greatest common divisor of c and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*y + 174 + 10*y - 47 - 91 - 5*y**3 - 41.\nAnswer: -5*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13732510*l**2*m**2 + 30*l**2*m*x - 2*l**2*m - 1663190*l*m**2*x wrt x?\nAnswer: 30*l**2*m - 1663190*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-38)\/(-10) + -3)*((-45)\/(-5) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 119*s**3 - s**2 + 58*s.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2595163, -2595156, -2595149, -2595142, -2595135, -2595128?\nAnswer: -2595121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -639, -2788, -6731, -12762, -21175, -32264, -46323, -63646?\nAnswer: -84527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.0521632 times 5\nAnswer: -0.260816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + w + 65 = 0, k - 6*k = 3*w - 45. Factor -k*x**4 - 11*x - 4*x**2 + 8 - x + 8*x**4 + 12*x**3.\nAnswer: -4*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 88 = -2*s, 3*s - v - v - 112 = 0. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 6 + -14 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-24)\/(-9))\/8*15. Suppose 4*n + 17 = 5, 2*r + l = -5*n. Let o be (-3)\/(1 - 7\/4). Solve z = -i + 3*i + r, -3*i + 5 = -o*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g**3 - 114*g**2 - 58*g + 10. Let b be y(29). Solve 0 = -40*f + 35*f - b, -l - 4*f - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 89531, 179055, 268575, 358091, 447603, 537111?\n\"Answer: -2*l**2 + 89530*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.002468 and -0.00804.\nAnswer: -0.00001984272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18080393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 1. Let n be f(-14). Is n less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 + -25. Let m = t + 63.947. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f - 18 + 13 - 70*f**3 + 10*f**3 + 5 + 5*f**2.\nAnswer: -60*f**3 + 5*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 79590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**5\/5 - 8*f**4\/5 - 4*f**3 - 2*f**2 + 21*f\/5 + 18\/5 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*x**2\/3 - 141077*x\/2 + 8139\/2.\nAnswer: (x - 8139)*(52*x - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -173 smaller than -225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from {e: 5, g: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2) + (-81)\/(-18). Let t = p - 4. Let j = 6 - t. Solve 0 = w + 10 - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -73, -159, -279, -433, -621, -843?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16\/(-10))\/((-4)\/10). Suppose -z = -c*u + 1125, 2*u + 2*u - 2*z - 1130 = 0. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 302a + 1a6?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6379 - -6379.2. What is the second biggest value in d, 3, -53, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + -1 + sqrt(1377) + (sqrt(2057)*3 - sqrt(17)) + 4 + sqrt(17) + -2).\nAnswer: -126*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10318288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91 and 1729?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2. Let v(o) = -11793*o - 4899*o**2 + 11793*o. What is j(v(n))?\nAnswer: -48000402*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/13, -5 in increasing order.\nAnswer: -5, -1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6))**6\/(y**(-2\/7)\/y**(-15)) assuming y is positive.\nAnswer: y**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-4)*y))\/y*y*y**(-6\/7)*(y**(-9)\/y)**28 assuming y is positive.\nAnswer: y**(-1938\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101052244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 15*y**2 - 22*y + 29. Calculate c(9).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -1 - (-23 - -20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d**2. Let s(v) = 236*v**2. Give s(l(j)).\nAnswer: 3776*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 821 = 4*c + 5*x, -c + 3*x = -234 + 50. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(112))**2*-5 + 2 - (1 + (sqrt(112) - (sqrt(112) + 1)))**2*2.\nAnswer: -2238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(2*d + 0 + 0)*(0*d + 2*d - d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2535 is divided by 623.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84915 and 11985?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2 = -6. Suppose 4*n + v = 5*n. Let r(t) = -2*t**2 - 4*t. Let i = -1498 - -1503. Let f(q) = 3*q**2 + 5*q. Give i*r(j) + n*f(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.52 - 0.12. Let a = t - 3.8. Let f = a + 2.7. What is the second biggest value in f, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 8*o - 2*o + o. Let y(z) = -139*z - 8*z**2 + 275*z - 136*z. Determine y(u(c)).\nAnswer: -512*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 3*l = -3*z - 10, -3*l = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 4*j = -2*j - 6, 0 = -q + j - 4. Let n be q*(0 + (1 - 2)). Is (2 + -3 - n) + 35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -c**4\/7 + 16*c**3\/21 + 6*c**2 + 2888. Factor z(s).\nAnswer: -4*s*(s - 7)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*w - 15, w + 3*w - 51 = -5*c. Let v be (-33855)\/(-105) + 4\/c. Calculate the highest common divisor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5810.78 take away 80958.43?\nAnswer: -86769.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4*m + 115 - 107 = 0, 4*y - 3*m - 7 = 0. Let c(o) = -7*o**2 - 8*o - 1. Let b(j) = -j**2 - j. Give y*c(t) - 6*b(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1160801 and -0.3.\nAnswer: -348240.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(84) + sqrt(84))*-2)\/(1*sqrt(192)) - (sqrt(63) - sqrt(2268)*6)\/(sqrt(324)*2))**2.\nAnswer: 15463\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110\/((-27500)\/2175)*10?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5462751 divided by -92589\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-2\/13))\/g**(-5\/4)*(g**(-2\/17)*g*g)\/g**(-1\/14) assuming g is positive.\nAnswer: g**(25061\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11.5 + -5.1. Let r = c - 6. Put 2\/9, -2, r in descending order.\nAnswer: r, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 - 124*r - 42 + 41 + 39.\nAnswer: -124*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1775*p + 14*p**2 + 38 - 2035*p + 3809*p + 4*p**2.\nAnswer: 18*p**2 - p + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/18*411*(-141)\/(-655). Let s = d - -8\/131. Let v = s - -71\/4. Find the common denominator of v and -25\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 36, 217.3, -2\/15 in decreasing order.\nAnswer: 217.3, 36, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s - 123 + 123.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 5)*(-9 + 36*g + 6 + 3).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2623689623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*a + 344 = -2*a, -112 = w + 2*a. Let z = -5695 + 113857\/20. Find the common denominator of z and w\/(-44) - 1\/1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7199.2421 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 349423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 3*w + 4*w)*(7*w**2 + 21*w - 21*w) + (0*w + 2*w**2 + 0*w - 2*w)*(-3*w + 3*w + w) + 2*w**3 - w**2 + w**2.\nAnswer: 11*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 373, 378, 381, 376, 357, 318, 253?\n\"Answer: -y**3 + 5*y**2 - 3*y + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*b - 5052, 4*h = 232*b - 235*b + 5100. What is the remainder when h is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1608 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of k**5\/5 + 7*k**4\/4 + 14*k**3\/3 + 4*k**2 + 834. Find y, given that n(y) = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -2 - 5*v - 1\/2*v**2. Let n = 9361 - 9370. What is t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 131372, 263825, 397360, 531977, 667676?\n\"Answer: 541*t**2 + 130830*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 - 2 - 2)*(-12*i**2 + 25*i**2 + 19*i**2) to the form n + l*i**2 + m*i and give l.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 1)*-17 - (-233933)\/10171.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/140*(-7)\/(-1). Find the third derivative of 1 - 307*c**2 - 72*c**s - 1 + 343*c**2 wrt c.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657 a factor of 1340055293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + 5.97. Let x be (-5346)\/(-234) + -13 + -10. Which is the fourth biggest value?  (a) g  (b) x  (c) 0.4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 7. Let s be -9*(2 + 0 + -1). Let g(y) = 43*y - 41*y + 119 - 134. Determine s*u(f) - 4*g(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -286 = 5*v - 311 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.1531 + -0.0469. Which is the smallest value?  (a) -2\/9  (b) p  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*9\/(-72) + 48. Let m be (58\/3)\/((-4)\/(-6)). Let j = m - w. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/510 and 113\/7788.\nAnswer: 661980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5243875 to the power of 1\/2, to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2311 + 5340 + 32*l + 32*l - 62*l to the form g + z*l and give g.\nAnswer: 7651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n + 1. Let l(o) = 20*o + 30. Suppose -4 + 2 = 2*q. Let s(p) = q*l(p) + 30*f(p). Let d(k) = -k. Calculate d(s(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 27728, 35584, 56914, 98456, 166948?\n\"Answer: 1123*x**3 - x**2 - 2*x + 26608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)*c)\/c*c*c\/(c\/c**(9\/4)))\/(c\/(c\/c**(-1\/4)))**25 assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 9:40 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 9*w**2 - 6 + 66*w**2)*(-8*w + 5*w - 8*w) as f*w**3 + g*w + i + t*w**2 and give g.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2\/15, -0.04, 41 in descending order.\nAnswer: 41, 0.1, -0.04, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 7*s**2. Let q = -3 + 11. Let g be q\/6 - 3\/9. Calculate r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -7*x**2 - 17*x - 10. Let f(h) be the second derivative of h**4\/12 + h**3\/6 + 2*h. Let d(g) = -6*f(g) - r(g). Determine d(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 544*i - 544*i - 23*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h**2 + 0*h**2 + 0*h**2 + (-4*h**2 + 0*h**2 + 5*h**2)*(0 + 2 - 1) + (-h**2 + 1 - 1)*(-2 + 0 + 4).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 8*h**3\/3 - 66. Let i(d) = 4*d**2. Calculate i(l(b)).\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8059 divide 1428364176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(17) + sqrt(612) + 4 - (sqrt(833) + 3)**2).\nAnswer: -3352 - 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -0.3693  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 8 = 3*f - o, 0 = -5*f - 5*o + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002064726 rounded to six dps?\nAnswer: 0.002065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5*g + 16 + 32 = 0, 2*z - 4*g = -66. Put 3, -1, z, 1 in increasing order.\nAnswer: z, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 1 + 2)*(-4*h - 4 + 4) - 6 - 15*h + 4 + 11*h)*(3*h**3 - 5*h**3 - 2*h**3).\nAnswer: 32*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1227236 is divided by 156.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 7 = -s - 11, -3*s + 2*p + 11 = 0. Solve 2*c - s = -1, 1 = -2*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*v + 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 13, 0.01, -0.4, -1\/4, -3, 3\/49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -54457, -54508, -54533, -54520, -54457, -54332, -54133?\n\"Answer: 2*d**3 + d**2 - 68*d - 54392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 168\/(-720)*(-2352)\/686?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - r. Suppose f = v + 8, r = 2*f - 4*v - 4 - 20. Suppose -9 = -5*n - f. Solve 1 = -h - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -49*g - 4. What is the units digit of h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002514803068 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**4 - 12 + j**4 - 11 + 7*j**2 - 5*j**2 to the form p*j**3 + y*j**2 + x*j**4 + d*j + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 72*p - 9. Let y be f(2). Suppose -3*q + 30 = 2*a, a + q = -q + 15. Calculate the highest common divisor of y and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -12*d**3 + d**2 - 2*d + 5. Let p(h) = 11*h**3 - h**2 + 2*h - 6. Let s(o) = -3*p(o) - 4*t(o). Let g be s(2). What is g rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*1)\/(114\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from upumpomy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 162 + -25470?\nAnswer: -25306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*x - 37*x - 20 = 0. Suppose x*t = -2*t. Suppose 87 = 4*r - t*k - 5*k, -5*r = k - 116. Calculate the remainder when 91 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 40.6 and -402639.84.\nAnswer: -402599.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559500907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 2:55 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23 - 23*p**5 - 23 + (1 - 1 - 5*p**2)*(p - 2*p**3 - 2*p**2 - p + p**3 + 0*p**3 - 2*p**3 + (0*p**3 - 2*p**3 + 0*p**3)*(2 + 1 - 1)).\nAnswer: 12*p**5 + 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10110 (base 2) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t - 5 + 5)*(28 - 2*t**3 + 4*t**3 - 7) in the form p + q*t + k*t**2 + n*t**3 + v*t**4 and give q.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + 0. Is 14 a factor of (7 - -1)\/(r\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 9633520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 4*h + 0*h)*(25 - 6*h**2 - 25 - 2*h).\nAnswer: -36*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - -7092ee?\nAnswer: 7092ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-7 + (-9 - -31)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1784, 3633, 5542, 7517, 9564, 11689, 13898?\n\"Answer: k**3 + 24*k**2 + 1770*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 85 - 90 - (1 + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 2:42 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1140740, 1140958, 1141176, 1141394?\n\"Answer: 218*r + 1140522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 70*g**3 + 68116*g**2 - 62360*g - 23376 = 0. Calculate g.\nAnswer: -974, -2\/7, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qddddqqqqddd. What is prob of picking 4 q?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 6528*q - 52236. What is g(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-894)\/3278)\/(203\/(-77))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8222, -8323, -8490, -8723, -9022, -9387?\n\"Answer: -33*h**2 - 2*h - 8187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284*t = 288*t - 16. Let r(z) = 42*z**3 + z**2 + z - 3. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -60*q**3 + 8*q**2 - 1385*q - 14401360 wrt q.\nAnswer: -180*q**2 + 16*q - 1385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229669.\nAnswer: 11, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of 2\/3*s**3 + 0*s**2 - 4 + 0*s. Let i(g) = 6*g - 7*g + 26*g. What is b(i(u))?\nAnswer: 1250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233440.\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5\/254, -3\/4, 7128, 0.1?\nAnswer: -5\/254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3836 divided by 959?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**2 - 34*h**2 - 20*h**2.\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/340)\/((-70)\/1190)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i*l**2*z + 2*i*z - 5513*l**2*z + 2*z - 2423 with respect to l.\nAnswer: -4*i*l*z - 11026*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0, -0.42, 1113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(63\/(-28))*2\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w**3 - 29 - 3 - 34*w**3 + 32.\nAnswer: -43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -24, -30, -36, -42, -48, -54?\n\"Answer: -6*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u**3 - 33*u**2 + 8*u + 472. Calculate v(7).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1286452, -1286448, -1286440, -1286428, -1286412, -1286392, -1286368?\nAnswer: -1286340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 683 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: Is 1 at most 3\/91166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2692, 5470, 8340, 11302, 14356, 17502?\n\"Answer: 46*p**2 + 2640*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 1:46 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4516 - 2021. What are the prime factors of v?\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -219790, -439584, -659380, -879178, -1098978?\nAnswer: -1318780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 54*s**2 + 174*s + 214. What is o(-57)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 292691609644 and -8.6?\nAnswer: 292691609652.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.016975878 * -3\nAnswer: 0.050927634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116600944 divided by 58300472.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*a**4*m + 27*a*m - 42161*m wrt a.\nAnswer: -16*a**3*m + 27*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 849 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*t = 3*d - 3*d + 40980, 3*t = 0. What are the prime factors of d?\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208039*y**3 - 24109*y**3 + 585*y + 590*y - 1175*y.\nAnswer: -232148*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122 + (-43 - -27) + 111.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 1. Let m be 4 + (16 + 0)\/(-4). Suppose 10*f - 7*f - 9 = m. Solve -3*a - 4*h = -v*h - 1, 2*a - f*h = -22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-12))**(-26)*(z**(-2\/17))**(17\/2) assuming z is positive.\nAnswer: z**311","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**3 + 6*m**3 - 774*m + 774*m.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 53367.31 to the nearest 100.\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 - 884*k + 888.\nAnswer: -4*(k - 1)*(k + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 510747353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 723.6182ml in litres?\nAnswer: 0.7236182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17517987 and 75?\nAnswer: 437949675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18.314635 - -18.3. Round i to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -13, 1\/4, 1\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -444251.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38258*p = 38254*p - 5*t - 12, -12 = 4*p - 4*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -154.2 + 184. Let j = i - 30. Which is the third smallest value?  (a) j  (b) 0  (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + m**2 + m - 5. Let v be i(0). Let n be 3\/(-2) + 3\/6. Sort 0.4, v, n in ascending order.\nAnswer: v, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 20, 4, -786, -1, 1 in decreasing order.\nAnswer: 20, 4, 1, -1, -3, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -19  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 657*u**2 - 29*u - 211. What is the hundreds digit of i(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + b + 10, 5*b = b + 20. Solve -5*u - 4*r = 37, 7*r - 13 = 5*u + v*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210\/(-490) - (-76)\/14) + (-50700)\/10125.\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19214 (base 11) in base 6?\nAnswer: 324233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -1  (b) 1\/10  (c) 2\/9  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 664.154 - -0.846. Let y = -665.1 + w. Let t be -8 - (4 + -2) - 1. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and 122762394.\nAnswer: 122762396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-10))\/((-7)\/70). Let a = 14 - u. Suppose -3*m - 5*d = -0*m - 107, 3*d = 3*m - 99. Calculate the smallest common multiple of m and a.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 246 + -221. Suppose -6*v = -o*v + 7733. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 10:36 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -360 + 7?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**5 + 15964*b**4 + 320808*b**3 + 288872*b**2 - 320804*b - 304836 = 0. Calculate b.\nAnswer: -19, -1, 1, 4011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -81b1 (base 13) to base 3.\nAnswer: -220112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8, -8, -2, 16, 52?\n\"Answer: r**3 - 3*r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*((-4)\/20)\/((-54)\/(-60)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 0 - 1\/3*v**3 + 1\/2*v**2 + 1\/6*v**4 + 1\/10*v**5 - 4*v. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (98\/20)\/((-245)\/(-2450)). Solve 40*w - x = 47*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9019 is divided by 4421?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.23, 1\/6, 17, -16 in increasing order.\nAnswer: -16, -0.23, -0.1, 1\/6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k + 33. Let h(p) = -20 + 1 + 3 + p. Let v(g) = 11*h(g) + 6*m(g). Let q be v(19). Solve -q*y + 5 = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/(-1) + (-25)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*u + 39371, -4*u + 39347 = y - 0*u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 6 = 9. Let c be (-7)\/(-1)*(m + -2). Suppose 0 = 4*s - 3*x - 51, -5*x - c = -2*s + 8. Solve -4*a = 2*l + 2*l - s, 2*a = 5*l + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1598.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 500 (base 12) to base 4\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d. Let j(w) = -26*w**2 - 10. Let p(u) = 27*u**2 + 8. Let l(v) = 4*j(v) + 5*p(v). Calculate s(l(q)).\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -8, -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*b + 69*b + 33*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*o**3 - 53*o**3 - 25*o**3 + 47*o**3 - 73*o**3.\nAnswer: -144*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -4*q. Let c(r) be the second derivative of -7*r**3\/3 + 2*r - 13. Calculate c(x(v)).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (34\/(-1190)*14)\/((-2)\/5870) is divided by 386.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14300 - 12743?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*i + (-2*i + 0*i - i)*(0 - 3 + 4)*(-2 - 4 + 2).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3169173898.\nAnswer: 2, 11, 17, 317, 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 27 = -4*s, 2*v = 2*s - 14 + 2. Suppose -5 = -r - s. Let b be 45*((r - -7) + -2). What is the highest common divisor of 27 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41602 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*q**2 - 2 - 1 + 2*q**3 - 13*q**2 + (5 - 5 - 3*q)*(-4 + 4 + q**2).\nAnswer: -q**3 - 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m - 2*m + 3*m + (m - 4*m + 5*m)*(-3 + 1 + 3) - 6*m - 5*m + 5*m)*(-m + m + 2*m + (0 + 2 - 1)*(2*m + 4*m + 5*m)).\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(((1600\/30)\/(-16))\/3)\/((-16)\/(-312))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -5\/4, 0 in increasing order.\nAnswer: -6, -5\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 34 = 5*w, 0 = -5*w - 18*o + 23*o + 40. Sort 280, 3, w, 0.2, 5 in decreasing order.\nAnswer: 280, 5, 3, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dnnndjjnnd. What is prob of sequence ddn?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.18 - 0.18. Let u = 14.3 + -14. Suppose 0 = 4*m + 3 + 13, -5*m = k + 17. What is the nearest to u in k, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-9) - 2 - 4\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 10 + -30 + -8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -1. Let j(r) = -2*r**2 - 5. Let v(t) = j(t) - 5*w(t). Let f = 3 + -1. Let g(q) = 2*q**f + 9*q - 9*q. Give v(g(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1839*b**2 + 325593999 - 3023*b**3 + 2454*b**2 + 3020*b**3 - 2047761*b.\nAnswer: -3*(b - 477)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 361124487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.23, -2\/15, 3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) + 0 + sqrt(108))*1 - (3 + -1 + sqrt(108))) + 4 + 5*(sqrt(108)*1 - sqrt(108)))**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1738 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 934096 to the power of 1\/2, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3830*c**4 + 6 - 2*c**3 - c + 3831*c**4 - 5 + 7 to x + l*c**3 + p*c**2 + k*c + m*c**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 - -27. Suppose u = 4*q - 0*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + o + 5775, -2*q + 4*o - 3465 = -5*q. Suppose -q - 599 = -2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6239523*o**2 + 30567577*o wrt o.\nAnswer: -12479046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (s**2 + s - s)*(-2 + 5 - 1) + 11*s - 2*s**2 - 11*s + (-1 + 0 - 4)*(-46 + 46 + 11*s**2) as k*s + w*s**2 + j and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8182 - -8860. What is the lowest common multiple of 60 and x?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19421 + -10194. Round b to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + n + n)*(8 + 6 + 1 + (-2 - 1 + 1)*(-4 + 2 + 0))*(0*n - n + 0*n) - 4*n**2 + 2*n**2 + n**2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -91, -94, -97, -100, -103?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 19 - 51. Let y = -8 + l. Suppose 0 = i + v - y, 4*v = -4*i + 6*i + 18. Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 1197211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -328 - -877. Is 61 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1580 = -4*p - p. Suppose -2*b + p = 2*b. Let m = -44 + b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -6*v - 45. Let k(i) = -29*i - 6. Let d be k(0). Calculate t(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1.3, 2.1, 0?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20000 and 16800?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pcpcpos. What is prob of sequence ppop?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (75\/2)\/15 - 11\/4. Suppose 4*w - 3*p = 8, 4*w - 2*p + 4 = 6*w. Let n be ((-8)\/26)\/(w + 0). Which is the smallest value?  (a) o  (b) -4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 45361 and -1905.\nAnswer: 43456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -4 - 3 - 6*j + j**2 + 2 - 5. Suppose 16 = -2*c - 116. Let x be -3 + ((-22)\/(-33))\/((-4)\/c). Give p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6a2 + 1610?\nAnswer: a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -35*u - 137. Give j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 80\/14 + 8\/28. Let p be 3 + 3\/v*0. Calculate the highest common factor of p and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2674 - -5325. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k**2. Let y(v) = -v**2. Let h(q) = -q + 11. Let o be h(8). Let u be (-2)\/(-4)*(-2)\/(-3)*o. Determine u*t(s) + 2*y(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 380549 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-24)*(-1 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -596 + 596. Let j = 28\/13 + -394\/195. Which is the nearest to y?  (a) -0.3  (b) 3\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 220, 1847, 6272, 14893, 29108, 50315, 79912?\nAnswer: 119297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 805258.4 decades?\nAnswer: 8052584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-22\/7))**(-2\/13) assuming l is positive.\nAnswer: l**(44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 - -3. Let s be 6\/u - (-14)\/(-10). What is the smallest common multiple of 5 and (3\/6)\/((-1)\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 3*r - 2*p = -14, 4*r - 19 = 3*p. Let t = 4 - -57. Suppose r*y + 5 = t. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1654005 bigger than -1654014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 73 + -49. Let y = 21 + -13. Suppose -3*s + 5*s = y. Solve -4*p = -3*n - 2*p - 7, -4*n - s*p = -j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 5*z + 273 + 167, 2*s - 4*z - 292 = 0. What is the remainder when s is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 0)*(176 + 24 - 64)*(-2*v**4 - 1 + 0*v**4 - v + 5*v**4).\nAnswer: -1224*v**4 + 408*v + 408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -42\/4955 and -27\/2.\nAnswer: 9910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 5:31 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 62278879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4834244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 778098 and 119802.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 + (0 - (-3 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**2 - 2*u. Let x(s) be the third derivative of -7*s**5\/60 + 5*s**4\/24 - 3*s**2. Determine -5*c(y) - 2*x(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p - 27. Give i(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f - 5. Suppose -4*t - 11 = -i - 0*t, 0 = 4*i - 3*t - 18. Let b(a) = -a**2 + a + 1. Let w be b(i). What are the prime factors of n(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34514 or -32905?\nAnswer: -34514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -63 + -16794?\nAnswer: -167f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -140130 (base 5) to base 11\nAnswer: -4290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/476 and 57\/22.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -17  (b) -5\/41  (c) -4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22981604 is divided by 172?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 2. Suppose 2*t + 10 = 0, 58 = -5*z - u*t + 18. Let f be 4\/z*(2 - 11). Solve 5*l + f = -19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-325)\/10)*9\/(-9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w - 153 + 14*w + 53 + 45 + 50.\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -15 + 10 + 2 - 14 + q**2 - 3*q - 4. Give a(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98074129 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -211 + 176. Let k = m - -101. Let u(s) = s**3 - 3*s**2 - s - 3. Let l be u(6). Calculate the highest common divisor of k and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)\/(sqrt(126)\/sqrt(2) + sqrt(63)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 375 + -422. Is b < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 8*j + 6. Let w(t) = 2564 - 853 - 7*t - 860 - 857. What is -6*n(c) - 7*w(c)?\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -4893 less than -4892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.06, -5, 5, 124, -3, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 7. Suppose y*v - 87 - 65 = 0. Suppose -24*j = -25*j + v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 12:57 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from edwneeaaedaeaaaaaae. Give prob of sequence enwa.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21229626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*n**5 + 305*n**4 - 3495*n**3 - 12115*n**2 - 12625*n - 4290 = 0. What is n?\nAnswer: -22, -1, 39\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (77 - 10)*58\/1. What is the greatest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/11, 230, 4.77.\nAnswer: 4\/11, 4.77, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -0.08  (b) 0.5  (c) -5\/1389  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -413a5f (base 16) in base 2?\nAnswer: -10000010011101001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -65 + 3*d**4 + 262*d**3 - 318*d**3 + 107 with respect to d.\nAnswer: 12*d**3 - 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.651 times 0.3\nAnswer: 0.1953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1298, -1429, -394, 1807?\nAnswer: 5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -60*u - 5 + 58*u - 16 + 25. Give g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -230042\/721 or -318?\nAnswer: -230042\/721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 7:34 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -4, 10, 30429\/11, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -317799, -317796, -317793, -317790?\n\"Answer: 3*d - 317802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - l + 6, 7 - 24 = a + 3*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2331114 + 1?\nAnswer: -2331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -102*a**3 - 2*a**2 - 5*a - 4. Determine x(-1).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c + 13 = 90 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3842, -3623, -3412, -3209, -3014?\nAnswer: -2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and 2927.\nAnswer: -38051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -6, 0 in increasing order.\nAnswer: -6, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 80.6 - 11.6. Let r = -71 + v. Let u = 9.2 - 0.2. What is the third biggest value in 1\/5, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1334 and 46452502?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(68\/(-40) - (-156)\/130). Solve 5*a = -2*m - m + 25, -10 = -2*a - n*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5270\/14756)\/(95\/35).\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11554*f - 7*f**2 - 10*f**2 - 11548*f + 3 + f**3)*(3 - 1 - 4) to the form p*f**3 + c*f**2 + a*f + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 0.51, -0.03, 1.4, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and 0.0665.\nAnswer: 0.6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 47964240 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-6))\/(5\/(-45)). Let m(f) = f**2 + 4*f - 3. Let q be m(a). Let i = q + -4. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8639, -7421, -5391, -2549?\n\"Answer: 406*g**2 - 9045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 0. Let p be (-4 + d)\/((-3)\/3). Suppose 2*c = 5*k - 13, 3*c + 9 = -5*k + p. What is the smallest value in c, -1, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -36.1, 5, 9, -3, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 5*y - 36, 3*y - 7*y - 308 = -14*n - 134 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -30 + 111?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 16*y**2 - 13*y + 17. Let r be -2*(2 - 51\/6). Let q be j(r). Suppose -5*c + 80 = -q. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -220183\/8 or -27523?\nAnswer: -220183\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4737 + 4762. Suppose -4*q + 62 + 134 = 0. Calculate the remainder when q is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 3*f**3 + 4*f**2 + 20*f + 32. Let d(b) = 2*b**3 + 4*b**2 + 22*b + 32. Let y(j) = -4*d(j) + 3*h(j). What is w in y(w) = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 200431\/22 + 6\/(-3) + (-45)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -284 + 298. Which is the biggest value?  (a) -1\/4  (b) m  (c) 2\/5  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 694 + -541. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 513531975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**2 - 18*j - 134. What is the remainder when 427 is divided by l(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45 + 51. Let j be ((-13)\/(-195))\/((-2)\/r). Sort 2, 0.5, 1\/3, j in increasing order.\nAnswer: j, 1\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 2\/21  (c) -0.249  (d) -0.5  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x**2 + 79 - 6*x - 7*x**2 + 74 + 11*x**2. Is 10 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1636*n - 1654*n + 347058. List the prime factors of n.\nAnswer: 3, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -529*x + 16971*x + 18399*x - 7616*x as u + v*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -0.07  (c) -1  (d) 0  (e) -0.005\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-148)\/(-518) + 58\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r - 22. Let d be c(9). Suppose 10*o - 35 = -d. Let f = 11 + -8. Solve -v - 2*s = -0*s + 1, 0 = -v - f*s - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r - 5*h = 3, -2*r + h = 5. Let y(m) = 536*m**2 - 6*m - 7. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98.71 + 61.522. Let p = w - 0.232. Let o = 160.0636 - p. What is o rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 5*d**3 - 6*d**2 - 11*d - 7. Is l(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 352\/56 - (-18)\/(-63) - (-106)\/2. Solve 66*o = v*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 * 10.49\nAnswer: -209.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 31\/3 + 22\/(-66). Suppose -9*x - 26 = n. What is the smallest value in -1\/8, -0.3, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11324273 or 11324258?\nAnswer: 11324273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/35 + (-18)\/(-35). Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -121 - -48715. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5986857 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 202 and 4558938?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 38.2. Let q = 7 + s. Let y = 1 + q. Which is the biggest 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 4*o = -o - 130. Let q = o + 96. Let g = q + -35. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f - 36 = -26*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.4 greater than or equal to -0.084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (23\/(-4186))\/(4\/(-406)). Is s less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 2*p - 3*p**2)*(22*p + 13 - 13) + 21*p**2 - 5*p**3 - 21*p**2 + (0*p + 3*p - 5*p)*(-6*p**2 + 4*p**2 + p**2).\nAnswer: -69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 4:55 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -124 - 3*y**3 - 94 - 7*y**3 + y + 18*y**3 - 4*y**3 + 2*y**4 to the form s + u*y + m*y**3 + w*y**2 + z*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -532 divided by 646?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00014377856784 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 21*c**4 + 61*c**3 - 90*c**2 + 8*c = 0.\nAnswer: -4, 0, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 divided by -1738.\nAnswer: 15\/1738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7070 = -15*z + 25*z - 3760. Calculate the remainder when z is divided by 182.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/2175 and 67\/406000?\nAnswer: 1218000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8 + (-18)\/(-15 - -18). Solve -5*b = -4*s, 5*b + 3*s = h*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.08764 millennia to centuries.\nAnswer: 300.8764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 948839575795.\nAnswer: 948839575794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 2*r**2 + 2096*r - 2098 = 0.\nAnswer: -1049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**2)\/(o*o*o*o*(o*o*o**(-1\/4))\/o*o))**(-2\/11) assuming o is positive.\nAnswer: sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/1518 and 121\/181332.\nAnswer: 1994652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w**2*w)*w)\/w)**(7\/4)\/(w**5\/(w**(2\/11)*w)))**45)**(1\/22) assuming w is positive.\nAnswer: w**(-7245\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 - 39*m**2 - 54*m + 1080.\nAnswer: 3*(m - 12)*(m - 6)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -54293 and -0.3.\nAnswer: 16287.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -67*m + 456 - 457 + 269 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 - -3 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(5*2\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.982994 rounded to zero dps?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w + 15. Let c be d(-8). Sort -4, 1, c.\nAnswer: -4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b1477 + -18c?\nAnswer: b12b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, i: 1, p: 1, c: 2, z: 1, s: 1}. What is prob of picking 1 z, 1 s, 1 p, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -662*z + 128. Let g be f(-8). Suppose 0 = -16*p + 8*p + g. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 202519*i**2. Let u be r(1). Let q = 120519 - u. Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/672 and 25\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.9 + -0.1. Let g = -2.4 - i. Let h = 11 - 16. Which is the closest to -1?  (a) g  (b) -3\/2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -8*w**2 - 38*w + 7. Let x be z(-5). Which is the second smallest value?  (a) x  (b) -5  (c) -1  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 32483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*l**4 - 5*l**4 - 40*l**4)*(2*l - 5*l + l - 1).\nAnswer: 144*l**5 + 72*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 + -42. Let c = -18 - k. Suppose -2*u + 10 = -2*z, 16 = -c*z + 2*u + 3*u. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 740486 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.9 + -8. Let r = 0.18 - -37.82. Let v = -38.2 + r. Which is the second biggest value?  (a) j  (b) v  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(3 - -1)\/(-4). Is (x\/6)\/(4\/4242) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 6*o**2 - 22*o - 9. Is b(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*-2 - sqrt(228))*4 + (sqrt(228) - -5*sqrt(228)*1))\/(4*sqrt(432) - (sqrt(192) + 1*sqrt(192))).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -264528 divided by 18\nAnswer: -14696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 times -0.4?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x**3 - 2*x - 1. Let h(y) = 4*y - 1 + 0*y - 2*y + y**3 - 2*y - y. Give 2*h(p) - k(p).\nAnswer: 9*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, r: 5, z: 3, l: 2}. Give prob of picking 1 m, 1 r, and 1 l.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2812*y - 56235. What is d(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 - 12 = -25*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -251 + 248.98. Let w = s - -0.02. Let g be (9 + (-330)\/40)\/(15\/4). Which is the biggest value?  (a) w  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1805261 + 1?\nAnswer: 1805262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34 (base 14) to base 9.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*p + 13 + 44*p - 18*p)*(0*p**3 - 2*p**3 - p**3).\nAnswer: -12*p**4 - 39*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 307, 430, 553, 676, 799?\n\"Answer: 123*l + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 337 and 480592.\nAnswer: 161959504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - a + 7. Suppose -63 = 4*s + 5. Let q = s + 28. Calculate the least common multiple of o(-3) and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1961671, 3924008, 5886345, 7848682?\n\"Answer: 1962337*o - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -2\/25  (b) -0.06216  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i*(i**12*i)\/i*i*i*i)\/i)\/i**(-2\/33))\/(i**(-2)*i**18))**(8\/13) assuming i is positive.\nAnswer: i**(16\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 692, 1766, 3212, 5030, 7220, 9782?\nAnswer: 12716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(99\/(-14) + 7). Suppose 3*x = -l + 14, -12*x + 14*x = -2*l + m. Calculate the highest common divisor of 1246 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16374268 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -934, -1874, -2816, -3760?\nAnswer: -4706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12146523523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**3\/7 - 3349*m**2\/7 + 30060*m\/7 = 0 for m.\nAnswer: 0, 9, 3340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 388*q*x + 126*q - 259896*x wrt q.\nAnswer: 388*x + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -1\/210*x**5 + 14*x**2 + 0 - 25\/21*x**3 + 0*x + 5\/42*x**4. Suppose r(h) = 0. Calculate h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) -56974  (b) -89  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008 times -0.15?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 62 + (34 - 87) - (-114)\/(-13)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2749370 + -68723611\/25. Let j = m - 851\/2. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 100 = 4*k - 20, -2*k + 60 = 4*w. Suppose 0 = 2*z + 2*l + 62, 4*l + 4 = 3*l. Let f = k - z. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20757 in 0.2, 1, 5, -0.1, -25.9?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -180917839 at least as big as -180917843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1070616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllgollhllll. Give prob of picking 1 o and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 11*d + 20. Let s be i(-9). Which is smaller: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - 1440)*3\/6. Let x = j + 727. Calculate the smallest common multiple of x and 41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*g = -6*g + 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53561\/390 + -412\/3. Let l(d) be the third derivative of 0 + 0*d**4 - 1\/1365*d**7 + 0*d - 1\/390*d**5 + 0*d**3 + 2*d**2 + y*d**6. Factor l(i).\nAnswer: -2*i**2*(i - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/6*(-57)\/152*52. Suppose 0 = -0*g + 2*g + 24. Let b = f - g. Sort b, -4, 1.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 38*w - 40*w)*(2 - 5 + 1) to the form r + n*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 5 = 7. Let g be 28 + 2\/(1 + u). Suppose 27 = -4*s + 2*f - g, 0 = -2*s - 4*f - 52. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-57)\/(-114)*4*(-1)\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 156 + -100. Suppose -31*n + b = -68. Let l be 2\/6 - (-44)\/3. Solve n*v = -v - l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lmlrlmmrmm. What is prob of sequence lrr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 87367.71 millennia?\nAnswer: 8736771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 643, 3329, 8069, 14863?\n\"Answer: 1027*y**2 - 395*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 7:22 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 232802*i - 3 + 3.\nAnswer: -232802*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t - 3. Let m = 2794 - 2783. Let r(q) = 2*q - 5. Calculate m*x(a) - 6*r(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 4  (b) -56  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by -7135.\nAnswer: 32\/7135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-52)\/(-598) + 15210\/2300 and -37\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.05 minus 2.4?\nAnswer: 86.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 9:05 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9820 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -0.08  (c) -2  (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4479 - 4487.0048. Let x = -8 - h. Round x to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sggggsssgsgsssgsyy. What is prob of picking 4 s?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - ((-220968)\/(-726))\/(-31).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 0) + (2 - -1). Let c be 0\/(l + -3 - 1). Suppose c*i + 25 = 5*i. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 249116666 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4778\/15 + 9073\/15. Let n = p + -284. Let g = n - 2. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*x + 4*x + 32. Is 1434\/8 + (-1)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 - 74*c - 695. What is l(31)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3683?\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4, d - 14 = 5*i - 2. Let q = -0.0277 - -0.0277. Which is the third smallest value?  (a) d  (b) q  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 5*v - 2. Let o be m(4). Suppose 4*k = 0, -w - 2*k + 3 = -o. Suppose -3*i + 2*u = -269, w*u - 101 = -2*i + i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106282 is divided by 4404?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -722 + 1005. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 - 64. Let q = 28 - 15. Let o = q + m. Which is the closest to 0?  (a) 0.1  (b) 0.3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.312 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence elee when four letters picked without replacement from {o: 10, l: 5, e: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1638 (base 10) to base 7\nAnswer: -4530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 0.0302403174981?\nAnswer: 9.0302403174981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 18*w + 372. Determine d(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000 (base 2) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.142 - -1.142. Let g = 0 + -1. Sort 2\/3, g, -2\/3, f.\nAnswer: g, -2\/3, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccccccr. What is prob of picking 2 c and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9808260 * 29\nAnswer: -284439540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -16*a. Let d(j) = j**3 - 4*j**2 + 4*j - 5. Suppose 2*k - 12 = -k. Calculate the remainder when f(-2) is divided by d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z + 2*z + 2*z)*(-871733*z - 665*z**2 + 871733*z) to the form h + m*z + y*z**2 + x*z**3 and give x.\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15930 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 131839026 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2945\/2247 - 33\/107. Find the common denominator of x and 8\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 370 and 151854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-574*r**2 + 559*r**2 + 9 - 2*r - 3)*(-r + 2*r + r).\nAnswer: -30*r**3 - 4*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/((-6 - -11) + (-70)\/15). Is c equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196197467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 10:56 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*f - 130*f = 108*f - 176 - 19604 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -508\/1747?\nAnswer: -508\/1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y + 39 = 11*y + 3*a, -2*y - a + 15 = 0. Let h be -1 + y + 9\/(-3). Solve 0 = -u - 0*u + h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.789 + 2.80083. Round z to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 7 + 11 - t**3 + (3*t**2 + 2*t**2 - 6*t**2)*(2*t - 3 + 3) + 0*t**3 - 4*t**3 + 3*t**3 + t**3 + t**3 + 0*t**3.\nAnswer: -2*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1334983931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {m: 2, w: 5, r: 3, p: 1, k: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k + 7. Give m(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-4)*((-26)\/429 - (-505)\/165 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 2\/13, 5\/3, 0.5 in descending order.\nAnswer: 5\/3, 0.5, 2\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1590 - -4772\/3. Let o = 34 - 53. What is the second smallest value in -0.4, o, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v + 70. Let y(l) = -2*l - 140. Give 5*n(g) + 2*y(g).\nAnswer: g + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c + 5. Let j be 23\/4 - (-6)\/(-8). Let g be a(j). Suppose -x = 3*x - g. Solve -6*i + i - x = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y. Let u be s(3). What are the prime factors of 2*(u - (-9)\/2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of c**5\/20 + 25*c**4\/6 + 625*c**3\/6 - 40*c - 83. Let r(j) be the first derivative of z(j). Factor r(d).\nAnswer: d*(d + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-5) + 10\/6. Is 0 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 4 - 4)*(-541*p**4 + 1097*p**4 - 548*p**4 - 83*p**2).\nAnswer: -48*p**5 + 498*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 56889 or 2218703\/39?\nAnswer: 2218703\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -69*c**2 + 21*c**2 - 7*c**3 + 3 + 13 - 16 as z + f*c**3 + p*c**2 + s*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 3*l**2 - 5*l + 6. Let w be n(4). Solve w*f = 5*o - 0*o, -3*f = 3*o - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3 = -8. Let u(b) = -b**3 + 4*b**2 + b - 4. Let w be u(4). Suppose w = -7*j + 3*j + 100. Calculate the greatest common factor of j and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -19. Let z = 30 + -12. Let a be 6\/z - (1 + (-4468)\/b). What is a rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75.3+-47672.76\nAnswer: -47597.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8121720775 and -0.75.\nAnswer: 8121720774.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-5 + 4)) + 7 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8820284 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*w + 24 = 132 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - h - 2 - 3, 0 = -3*r + 3*h - 3. Let k(t) = 5*t**3. Let m(y) = -6*y**3 + y**2. Let u(s) = -5*k(s) - 4*m(s). Determine u(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(-33)*12)\/(36\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -24579049048.\nAnswer: 24579049051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d3992 - 1?\nAnswer: 1d3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -306, -615, -924, -1233?\n\"Answer: -309*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/19?  (a) 0  (b) -0.2  (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 184 in 0.09, 1\/7, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 10:13 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -466.33 to the nearest integer.\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 122607 (base 8) in base 13?\nAnswer: 16398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 241650 and 23220.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjbhkhbhbblh. What is prob of picking 2 b?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -2, 8, 32, 76, 146, 248, 388?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66061663\/126920 + 2464\/3173. Let j = -4185\/8 + k. Find the common denominator of j and 61\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + -104.5?\nAnswer: -104.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.3  (b) 2\/5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 540 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 165529571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33859832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 4793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174 divided by -6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*-1*(-12 + 10). Solve -28 = -4*v + 2*z, 2*v + c*z + z + 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 54*f - 4*f**4 - 52*f + 2*f**3 + 1 + 3*f**4 to t + l*f**2 + g*f**4 + y*f**3 + n*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, -33, -2.\nAnswer: -33, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 7*h**2 - 10*h - 1. Let w(y) = -8*y**2 + 11*y + 1. Let k(q) = -6*v(q) - 5*w(q). Let g(s) = -s. Calculate 6*g(c) + k(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7402*z**3 - 2467*z**3 - 2461*z**3 - 2465*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*x**4 + x**3 - 163*x**2 - 72*x + 1524800 wrt x.\nAnswer: 20*x**3 + 3*x**2 - 326*x - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 23780\nAnswer: -23784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 13443736847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-6) - (-6)\/9. Let b = 552\/77 - 2683\/385. What is the closest to 1 in b, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3034 + 3035. Solve 5*q = -5*w - 4 - n, -4*q - 4 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*v + 14 = w, 4*w = v + 42. Solve w = 3*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.718 * 1816\nAnswer: 3119.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99286 + 49693 - 51*b + 49593 + 4*b**2.\nAnswer: 4*b**2 - 51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5442 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7 - -11 - -4)\/(-106). Suppose -4*a + 4*h = -20, -2 - 3 = 2*a + h. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 3*k**3 - 4704*k**2 - 56880*k = 0.\nAnswer: -12, 0, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2805.3 rounded to the nearest ten?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 14*d**2 - 11*d - 21. Let h(u) = -15*u**3 + u**2 + u - 1. Let n be h(1). Is 24 a factor of r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-185 + 3 + 419 - 47 + 553)*(54 - 54 + 6*g).\nAnswer: 4458*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3700*d - 275 + 12113*d + 275 to the form w*d + p and give w.\nAnswer: 15813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-120)\/(-756))\/(((-3250)\/(-156))\/(-125)))\/((-1)\/14)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -1. Suppose -3*d + x*k + 3 + 0 = 0, -4*d + 5*k + 5 = 0. Solve 1\/3*w**5 + 0*w**2 + d*w**3 + 0*w + 0 - 1\/3*w**4 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39565088.\nAnswer: 2, 61, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*q**3 - 114*q**3 - 26 - 2*q**2 + 25 + 2*q**4 + q in the form b*q**3 + l + c*q + t*q**4 + z*q**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 5:42 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 9:23 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 69882*m - 69373*m + 64134 for m.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1003*x + 11480 = -863*x for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*m - 21580 = -800*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005701 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*k + 20 = -0*n, -k + 4 = 0. Let l be n\/8*-2 - -8. Suppose -26 = -l*p - 1. Which is the third smallest value?  (a) p  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**4\/6 + 13*u. Let l(i) be the first derivative of -3*i + 3*i + i**2 + 1. Give l(r(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*p + 29, -3*p + 12 + 4 = 2*v. Suppose p*y = y. Is -2\/7 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33248 = 47*k - 31*k. List the prime factors of k.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(6\/4) + -1. Let x = 2 - 0. What is r in j + 2*r - r**2 - x*r = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/21)\/(j*j\/(j\/(j**(-1\/8)*j)*j)*j))\/((j*j**(1\/10))\/j)**(-46) assuming j is positive.\nAnswer: j**(2209\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 59012000 to the nearest one hundred thousand.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10862*w - 10798*w + 768 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1001591.\nAnswer: 823, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6\/91, 7, -149, 2\/9?\nAnswer: -6\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 11. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4254528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**5 - 626*o**4\/5 + 912*o**3\/5 + 1016*o**2\/5 - 512*o\/5 = 0. Calculate o.\nAnswer: -64, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692821?\nAnswer: 692821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16 - (6\/((-9)\/3) - 0). Let b(x) = x + 1. Suppose -4*j - 9 = q - 6*q, -5*j = 2*q + 3. Let o(y) = 15*y + 18. What is a*b(r) + j*o(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkt when three letters picked without replacement from awkkawkukwatkatawwm?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of q**6\/720 + q**5\/20 + 2*q**4 - 15*q. Let f(v) be the third derivative of t(v). What is f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = -3*z - z. Let l be (10 - 14) + -1*(40 - -3). Let u = l + z. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -17534, 1\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*n + 632 = -66*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -95, -33, -2, -7, 0, 2 in ascending order.\nAnswer: -95, -33, -7, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7625 = -270*a + 255*a + 14650. Calculate the highest common divisor of 2640 and a.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 33. Let r be l\/(-6) - 12\/18. Find the third derivative of v**4 - 12*v**2 - 2*v**r + 3*v**4 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -235 or -4721?\nAnswer: -4721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 83*0.5\nAnswer: 41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13*2*((-112)\/32)\/(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -28*h**3 - 22*h**2 - 16*h + 125. Give i(2).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 411773.6l?\nAnswer: 411773600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*n + 44, -3*n + c = -3*c - 43. Calculate the remainder when 71 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 6\/7, -1\/300 in increasing order.\nAnswer: -1\/300, 6\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -24e (base 15) in base 8?\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 5  (c) -419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 17*a - 9. What is the units digit of z(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23955516 by 39143.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5400 and 3813300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 7*u - 13 - u + 9*u. Let o be r(13). Suppose 3*l - o - 91 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -89 in -0.2, 2\/13, 14255, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/308 or 1?\nAnswer: 13\/308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - -20 - (10 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 14157?\nAnswer: 42471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**7\/1260 - j**4\/8 + j**2. Let d(i) be the second derivative of w(i). Let v(p) = p**2 + p**2 + 3*p**2. Give v(d(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9945.8 - -8960. Round t to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37627904 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: What is -0.4 - -635.044?\nAnswer: 634.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13655078 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 56 - 20. Let m be (-188)\/o + (-8)\/(-36). Suppose 4 = -g - g. Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*j - 82*j + 6*j - 3523 + 3539 in the form m + n*j and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + (-5)\/(((-28)\/8)\/(-7)). What is the fifth biggest value in -4.6, 0.5, -1, 5, p?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -z + 3, 5*k + z + 35723 - 35718 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.3 - -9.5. Let k = x - 11.116. Round k to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285 = -643*t + 640*t. Let h(d) = -6*d + t - 95. Let o(s) = -7*s**2. Determine o(h(j)).\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2111, 8219, 18315, 32393, 50447, 72471, 98459, 128405?\nAnswer: 162303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -b**3\/2 + 2189*b. Suppose -5*p + 12 = -3. Let q(f) = p*f + 4*f - 2*f. What is v(q(r))?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 84495.3m in kilometers?\nAnswer: 84.4953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 38215 = s, s + 14725 - 5166 = k. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -z - 4*w + 6, 0 = -z + 2*w + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 30124 and 29422 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23478 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2148 + 2166 + 0 + -5 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.91021 days to milliseconds.\nAnswer: 1806642144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 27*n + 55. Let o(s) = -s**2 - 72*s - 270. Let v be o(-4). Give k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 5*t - 13, 0 = -2*s - s - 5*t + 17. Let j be ((-2)\/2)\/(s - 3). Is j not equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 24*a**2 - 182*a - 4747. Calculate f(-24).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 18*p**5 + 9213*p**4\/7 - 25791*p**3\/7 + 10992*p**2\/7 + 780*p = 0.\nAnswer: -455\/6, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 8*k**2 - 608*k - 34. Calculate m(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j**3\/3 + 3305*j**2\/3 + 800*j\/3 - 1375 = 0. What is j?\nAnswer: -165, -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2*0*(-15)\/(-15). Let o(i) = -i**3 + 5*i**2 - 1. Let n be o(2). Solve 2*z - q = a, -5*q = -4*z + 1 + n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*20\/(-4)*(-1)\/1*1. Let s(k) = -k**3 + 6*k**2 - 9*k + 13. Give s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -202829.\nAnswer: -1\/202829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 1:44 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -53*u**2 - 11980*u + 281. Determine m(-226).\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33123.\nAnswer: 3, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -5*y + 3*w, -9*w = 51 - 24. Suppose -3*f + 5*z + 22 = 0, 0 = 2*z + 1 + 3. Solve -4*x + 3*s + y = f*s, 25 = 2*x + 5*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rvrvrrrrtvrrrvrvr. Give prob of sequence vvt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (258\/(-172))\/(117\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 15*u**3 + 4*u - 3. Let p be t(2). Suppose -c - p = -3*c - 3*j, c + 4*j - 75 = 0. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.26757 - 0.3958. Let x = 0.1202 + k. What is x rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -64, -211, -446, -763, -1156, -1619?\n\"Answer: y**3 - 50*y**2 - 4*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 + 2*r + 3. Let z(d) = -5*d**3 - d**2 + 5*d + 8. Let h(s) = 8*p(s) - 3*z(s). Let y be h(3). Suppose y*b = 12 - 3. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 18 = -2*b, 2*b = 6*b - 4. Let h be (-6)\/(-9)*(-12)\/j. What is the smallest value in 0.2, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2972325, 11889301, 26750927, 47557203, 74308129, 107003705?\n\"Answer: 2972325*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from bnxnfbnfbnf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/128860218 and 79\/24.\nAnswer: 515440872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5\/3, 49.2, -1 in descending order.\nAnswer: 49.2, -1, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/((544\/233008)\/(-17))?\nAnswer: 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1060\/7567?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2070089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, q: 2, p: 1, a: 4, i: 1, d: 2}. Give prob of sequence ddaa.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.55 + -0.15. Let h = g + -0.3. Suppose 8036*o + 7 - 34 = 8027*o. Which is the second smallest value?  (a) -2\/3  (b) h  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1203880 is divided by 465.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 - 7 = -4*i. Let o = 15 + i. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**5 - 9*w**5 - 6*w**5 + (2*w**3 + w**3 - 9*w**3)*(w**2 - w**2 - w**2).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*w**2 + 1 + 0 + 5 in the form p + c*w**2 + j*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28.3657084 * -0.4.\nAnswer: -11.34628336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00233 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5265 and 6183.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/18 + 6\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4, k: 2, n: 1, g: 1, d: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z - 572 = 15*z - 752 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -236*z + 2352. Give l(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*(-16)\/6)\/(1495\/(-897)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -145.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 272\/2959 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s**5 - 1128*s**4 - 1116*s**3 + 3390*s**2 + 5631*s + 2250 = 0.\nAnswer: -375, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 601.515 rounded to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.170026084 + 1.17. What is t rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 - 7 - 10 - 22 - 6*t - 11.\nAnswer: -6*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17 + -406360?\nAnswer: -406377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -2. Let k be 2 + 0\/(-1 + 2). Suppose -p*u = -5*g + 331 - 32, 0 = k*g - 8. What is u rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 89 and 17?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -31*c**6\/30 - 5*c**3 - 12*c + 24. Let q(a) be the first derivative of f(a). What is the second derivative of q(o) wrt o?\nAnswer: -372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -895*i**3 - 3780*i**2 + 9940*i + 2400 = 0 for i.\nAnswer: -6, -40\/179, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/3  (b) -4  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*j + 3*b = -247*j + 41, -4*j + 8 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -205123, -205181, -205345, -205669, -206207, -207013, -208141, -209645?\nAnswer: -211579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.223 - -2.223. What is the fourth biggest value in s, 19, -3\/5, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89507987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -r + 23, 533*z - 16 = 3*r + 531*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 1)*(f - f + 2*f) - 10 - 875*f + 1713*f - 868*f.\nAnswer: -38*f - 10","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*m = i - 8, -i = m. Let v(k) = -6*k**3 - k**2. Determine v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p. Let l(x) = 3*x - 1. Let a(n) = -n**2 + 10*n - 17. Let f be a(3). Determine f*w(k) + l(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 94\/48495 and -19\/3355.\nAnswer: 533445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q - 3 - q - 166 as h + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j + 2. Let b(o) = o**3 - o + 4. Let k be b(0). Suppose -w = k*w. Determine f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 60*w - 172. Let z be s(57). Let c(x) = 0 - x + 3*x + 1 - 20*x**2. What is c(z)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, f: 2, s: 3, z: 2}. Give prob of picking 2 z and 2 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 9 + b**3 - 2988*b**2.\nAnswer: b**3 - 2988*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2381419 and -1.\nAnswer: -2381420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 28*y - 51. Determine w(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -61\/9. Let t = -13 - -16. Suppose t*d + 0 = 3. Are d and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + 8)\/(15\/573*(-15)\/(-75)). What is the greatest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -128*l**2 + 15. Let i(h) = 10241*h**2 - 1197. Calculate 5*i(q) + 399*k(q).\nAnswer: 133*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 5*r. Let l(z) = 9*z**2 - 2*z + z + r*z - 15*z**2. Give l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5427984 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 12 - (4 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*h + 10, 5*p + 9 = -2*h + 25. Suppose v - 164 = 2*y - 0*y, -v + 164 = p*y. Suppose 2*r - 168 = -4*q, -4*q + 2*r + v = 5*r. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 3. Suppose -l*z + 3*z = -216. Suppose 3*u + 4*a = 76, -6*u + 3*a + 117 = -u. Calculate the highest common factor of u and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from haahah.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l - 10. Give s(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.069 take away 3711?\nAnswer: -3710.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 701566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v - 11*v + 19 = -4*h, -7*h = v + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 19*l**2 + 42*l + 15. Let w be i(-21). Suppose 3*q = -16*h + w*h + 21, 0 = 2*q - 4. What is the remainder when 89 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r + 13 + r + 43 - 4*r - 46. Calculate x(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -303 - -172. Let j = 4507 + -4637. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-14)*s**(-3\/13))\/(s**(2\/7)\/(s**(2\/9)*s)))**13 assuming s is positive.\nAnswer: s**(-10888\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -3*l - 2*c - 371, -3*l = 5*c - 343. Calculate the smallest common multiple of 143 and l.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*r + 6*r**3 - 668961*r**2 + 668961*r**2 - 45*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 24. Suppose -2*t = 3*j - 23, -j + 19 = 2*t - p*j. Find the first derivative of 2 + 1 - 3 + 10*d**3 + t wrt d.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 3) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 29\/(-116) + 10\/8. Solve -2*k = 4*i + 2, -i + k + 0 = -m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t**(1\/13)*t)\/t)\/t**(20\/7)*(t*t*(t*t*t**14)\/t)**10 assuming t is positive.\nAnswer: t**(15308\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2*3))\/((-25)\/(-28800)*48)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 w when four letters picked without replacement from whwhh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 334876120*c**4 - 294711040*c**2 + c wrt c?\nAnswer: 8037026880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/((h**(-18)*h)\/h)))\/(h**(9\/4)\/h*h*h*h*h*h))\/(h**(-1)\/h**(-2\/43)) assuming h is positive.\nAnswer: h**(-4007\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -j**5\/20 - j**4\/3 + 5*j**2\/2 + 2*j. Let y(i) = 2*i**2 - 4*i + 3. Let s be y(2). Suppose -13 = 4*a + s. Calculate v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*k = -230*k. What is the nearest to 3 in k, 0.19, -1, -3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*j**2 - 23*j + 23*j)*(5*j - j - j) - j**3 + 4*j**3 - 2*j**3 to n*j**3 + g*j**2 + f + i*j and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 312 + -310. Let n be (o\/30)\/((-30)\/(-720)). Suppose 2*b**2 - 1\/5*b**3 - 1\/5*b**5 - n - 4\/5*b**4 + 4\/5*b = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = d - 689 + 139, -4*d + 5*h + 2252 = 0. Let s = d - 562. Let o(i) = -i**2 - 3*i - 4. Give o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33803 - -47600. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 take away 288227499846?\nAnswer: -288227499834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -14\/5, -2, -1\/525?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -134 - -215. Let y = -11996373.94000039 + 11996292.94. Let u = w + y. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggoy when four letters picked without replacement from {y: 6, o: 2, g: 3, q: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 7 - 6 - 6)*(-4*a**2 + 6*a**2 + 4*a**2) - 20*a**2 + 9*a**2 - 9*a**2 to the form i*a + f + p*a**2 and give p.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(432) - (-1 + sqrt(432)*4))**2*-3 + (((sqrt(30) + sqrt(30)*1)*5)\/(sqrt(810) - (sqrt(810) - (sqrt(810) - (sqrt(810) - sqrt(810)*1)))))**2).\nAnswer: -1080*sqrt(3) + 1574545\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 8801740 to the nearest 10000.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124\/3 + 41. Let l = 2 - -2. Let z = l - 4. Which is the closest to 0?  (a) y  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 1:40 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 9. Suppose -194 = -3*b - 2*z, 0 = -3*b + 5*b + 4*z - 116. Let q be 1\/4 + b\/(-16). Is q > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a**(3\/5)*a))\/a*a)**(-1\/8)\/(a*a*a**6*a*a**(1\/2)))**29 assuming a is positive.\nAnswer: a**(-10933\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -2*j**3\/3 - 5*j**2\/2 + 7*j - 78. Suppose -49*m = -16*m - 99. Let r(a) = a**2 + 3*a - 4. What is m*d(h) + 5*r(h)?\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*w - w**3 - 3*w + 1 + 0 + 6 in the form y + d*w**3 + i*w**2 + r*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 76*b**2 - 2*b + 1. Calculate v(1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, m: 8, n: 2, k: 1, g: 1, r: 1}. Give prob of picking 1 m, 2 n, and 1 s.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -104565\/13 - -8051. Let q = p - 477\/65. Determine g, given that 7\/5*g**3 - 4\/5 - 8\/5*g - q*g**2 + g**4 + 1\/5*g**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11 + -1201?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -2*l**2 - 1125554*l + 3376680 = 0.\nAnswer: -562780, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 388024.272 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.7 + 7.7. Let v = -9 + 13. Let z = v - p. What is the closest to 0 in z, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, q: 10, p: 1, u: 1}. What is prob of picking 2 q?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8846 + 350 = i, 2*i - 18395 = -3*f. Suppose v - 2305 = -5*w, v = -3*v + w + i. What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64\/11*o - 32\/11 - 38\/11*o**3 + 14*o**2 - 122\/11*o**4 - 26\/11*o**5 = 0. What is o?\nAnswer: -4, -1, 4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.99 - -4.79. Which is the nearest to u?  (a) -1.2  (b) -0.1  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 1:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 times 0.0113533?\nAnswer: -0.4200721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2010 at most as big as -14075\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -22875570 divided by 11437785?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kzkkskqqkqsnsq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*f - 84*f + 15*f - 64*f as v*f + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r - 48. Let d be p(-12). Suppose d = 4*a - 5*g - 112, -5*g = -5*a + 146 - 1. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 607 + -595. Suppose 5*b = 2*x + 10*b + 9, 0 = 4*b + a. Solve 10 = -2*f - 2*g, x*f = 4*f - 2*g - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**5 - 3*f**5 - 2*f**5 + ((0*f - 4*f + 5*f)*(-11 + 27 + 2) + (0 + 1 + 0)*(-5*f + 3*f - 2*f))*(-4*f**3 - 4*f + f**4 + 4*f**3).\nAnswer: 13*f**5 - 56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-320)\/400*(-10)\/(-84). Sort t, 3, 8 in descending order.\nAnswer: 8, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -119 or -24944\/211?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 6*d**2 - d - 1. Let j(h) = 5*h**2 + 7*h + 3. Let m(u) = j(u) + 2*q(u). Calculate m(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 179, 339, 499, 659, 819, 979?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1556041 is divided by 1287.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11\/7  (b) -3\/4  (c) -1  (d) -1\/3  (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -11*k + 1537. Determine r(140).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -124*l**3*w**2 - 3*l**3*w + 18*l**2*w wrt w.\nAnswer: -248*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5*s**2 - 2*s - 2. Let z be b(2). Suppose 3*v + 2 - z = 0. Suppose 0*x - 76 = -v*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -5 - -18) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 4:19 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56783 is divided by 477?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 11\/4 of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**3 + o**2 - o**2 - 3*o**3 + 5*o**3 + 0*o**3 + (-1 + 2*o + 1)*(2*o**2 - o**2 + o**2) + 0*o + 39*o**3 - 4*o + 3*o.\nAnswer: 44*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 30*k - 160. Give w(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474494 is divided by 2666?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15787, 31601, 47415?\nAnswer: 63229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -301111310 (base 4) to base 15\nAnswer: -3ed35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z + 8 = 16*z. Let m be 1\/2*(-6)\/(-24)*z. Solve b + 0 = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/6*1*16\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.28 - 1.35. Let v = 6.93 - 7. Let k = o - v. Sort -1, k, 4 in decreasing order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -65 in -0.4, -284, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbb when three letters picked without replacement from mmmqmbqqb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6538 = -10*k + 7902. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h + 4*h**2 + 1 - 13*h**2 + 8*h**2 + 4*h**3 as a*h**2 + w*h + u*h**3 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.934484136 + -2.159994. Let i = k - 0.004490916. Let w = -0.77 + i. Round w to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 133176076 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 15*h + 4 - 27 + 11 - 136*h to the form l*h + r and give l.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14065 + 14075. Calculate the lowest common multiple of c and 1 - 2 - 8*-1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 divided by -10?\nAnswer: 23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 - 86 = r + 27*g, 5*r + 123*g - 240 = 126*g for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 - 4886*n - 4885.\nAnswer: -(n + 1)*(n + 4885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, m: 2, b: 3, e: 4}. Give prob of sequence mm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 3. Let t be 47 - (w - 0) - 2. Suppose 0*m = -2*m - 3*j + 24, 5*m + 4*j - t = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 61788 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29322 and -0.03.\nAnswer: 879.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -88.6369474?\nAnswer: -88.6369474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/168*(-66)\/(-220)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of 0*o**3 + 1\/12*o**5 + 0*o**4 + 0*o + 0 + 4*o**2. Let g(r) = -2*r. Calculate s(g(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-4))\/(-5 - 31\/(-6)). Solve -s + 24 = 4*r, 0 = -5*r + f*r + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 4 = -11*p. Which is the closest to -3?  (a) p  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 2*y**2 + 3*y**2)*(2 + 3 - 7) + 2*y**2 - 2*y**2 - 3*y**2 + (1 + 1 - 1)*(2*y**2 - y**2 - 2*y**2) - 5*y**2 + y**2 + 3*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9095 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101122 (base 3) in base 8?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 271415 - 271406.999996. Let b = -6.9 + -1.1. Let r = i + b. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 3*s - 1. Let j be x(4). Suppose -6*b = -j*b - 33. Suppose b = r + 3. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33387680.\nAnswer: 2, 5, 208673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -8*i. Let z(k) = -k**2 + 3*k + 5. What is the units digit of z(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.8*35.4\nAnswer: 63.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/i**(-1\/3)*i))**4*(i**(1\/4))**38*((i\/i**9)\/(i**(-3\/11)*i))**(-21) assuming i is positive.\nAnswer: i**(12635\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -7*o**2. Let w(x) = -26647 + 26647 - x**2. Determine w(k(c)).\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2370669.\nAnswer: 3, 7, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14391 and 1640.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11661 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**4\/10 + 92*x**3\/5 - 954*x**2\/5 + 3088*x\/5 - 3104\/5 = 0.\nAnswer: -194, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253135.\nAnswer: 5, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*s + 7, 0 = -2*z - s + 308. Calculate the remainder when z is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 10:00 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 94.4\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 68\/(-3)*(-69)\/92. Which is greater: 22 or i?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 476*o**2 + 25233*o. Calculate p(-53).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 62*j - 63*j - 1 + 0*j**3 + 42*j**4 + 0*j**3 as s*j + g*j**4 + d*j**2 + r*j**3 + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 53735164 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1718135152 to the nearest integer?\nAnswer: 41450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-15244)\/(-5994))\/(-103)*-1*(-1)\/(-2))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 218131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11315220 + 1?\nAnswer: -11315215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*f - 1841 - 3801. What are the prime factors of f?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.59483 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 83 (base 13) to base 6\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/4, -3, -1\/9, -11\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139159 divided by 57.\nAnswer: -139159\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gk when two letters picked without replacement from gkgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*p - 22, -2*f - 5 = p - 2. Which is smaller: f or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43363852789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - -51. Suppose 0 = -4*a - 4 + g. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 563 and 2*(-9)\/(-36)*12?\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuurruruururu. What is prob of picking 3 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 27?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1152019, 2305175, 3458341, 4611523, 5764727, 6917959?\nAnswer: 8071225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 973505.8 grams?\nAnswer: 973.5058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-9))**(2\/13)*x*x\/x**4*x*(x*x**(-7\/6)*x)\/x)**(1\/2) assuming x is positive.\nAnswer: x**(-199\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 622 or 754?\nAnswer: 622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 30519304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - -3 - 5) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -1 - 14. What is the closest to -2\/11 in -4, g, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28568, 1, 5, -6, 2 in descending order.\nAnswer: 28568, 5, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.56 + -0.8. Let u = g - 0.16. Sort -1\/3, u, -1\/2 in increasing order.\nAnswer: -1\/2, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46316.730008 + -6\nAnswer: -46322.730008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6917540*f**2 - 6917539*f**2 + 4*f**3 - 3*f + 0*f)*(-1 + 6 - 3).\nAnswer: 8*f**3 + 2*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1056\/17  (b) 332  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 7. Solve 12 = -4*l + 2*n + h, 0 = -l - n - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n - 53 = -69 - 188 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60517697 + -41517697. Suppose 9*g = 7*g + b. What is g rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*o**2 + 328515605*o - 730687957.\nAnswer: 4*o + 328515605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than -336476?\nAnswer: -336475.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-2)*(520\/117)\/20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + (-4 - 9\/(-3)). Let r be (g - 8\/(-2))*0. Solve r = 4*l - 3*h, l - 2*h - h = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 476680484 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*x - 73*x + 272 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 114*i - 65. What are the prime factors of j(14)?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-30)*1*-4. Let r(l) = -l**3 + 7*l**2 - 6*l - 5. Let w be r(6). Which is the third smallest value?  (a) w  (b) -1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.031036925 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9016147 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -96*m - 167*m - 26*m to the form j + x*m and give x.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 318*d**4 + 29548*d**3*k + 44983*d*k + 59*d wrt d?\nAnswer: 3816*d**2 + 177288*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1376, -1381, -1386, -1391?\n\"Answer: -5*h - 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.388581395 rounded to 3 dps?\nAnswer: 0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4128 is divided by 4062.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + 4*z + 1. Let f(i) = i**2 - 9*i + 2. Let d be f(9). Suppose -180 = d*o + 3*o. Let j be 5\/2*o\/30. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 178030.\nAnswer: 1602270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19651 - -19654. Let t(k) be the third derivative of -1\/60*k**6 + 37*k**2 + 25\/3*k**c - 35\/12*k**4 + 11\/30*k**5 + 0 + 0*k. Let t(s) = 0. Calculate s.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 2*l + (-2 + 1 + 0)*(0*l + 0*l + l) + 2 - 2 + 2*l - 28*l - 28*l + 51*l + (7 + 2 - 1)*(-1 + 2*l + 3 - l).\nAnswer: 6*l + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112988?\nAnswer: 2, 47, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.180706523 rounded to 4 dps?\nAnswer: -0.1807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6426, 13601, 20776?\n\"Answer: 7175*r - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 6. Let i = 8 - r. Let z = -4 + i. Which is the third biggest value?  (a) z  (b) 0.03  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-21)*t*t)\/t**(-11))\/((t*t\/t**14)\/(t**(-1\/18)*t)) assuming t is positive.\nAnswer: t**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/9 and (-10)\/(-16) - 3\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304086 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 23\/(-3)*(480\/100)\/(-8) + -4. Which is the nearest to -0.4?  (a) f  (b) 2\/11  (c) -1\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 143892 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 55*v + 3. Give s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.83 - 0.17. Which is the second biggest value?  (a) 0.3  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (851\/74)\/(-2*(-7)\/(-56)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 207580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -8778*z**5\/5 - 13*z**2\/2 - 407*z + 9631. What is the second derivative of r(t) wrt t?\nAnswer: -105336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12122245 + -2?\nAnswer: 12122243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -26*l - 1. Let j(o) = o**3 - o - 8. Let u be j(0). Let n = u + 5. Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 2)*-1 + -8. What is the units digit of (-12)\/(((-15)\/(-2))\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426 = 18*g + 714 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -135479, -135478, -135477, -135476?\n\"Answer: o - 135480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/10, -12, -0.080101 in decreasing order.\nAnswer: -0.080101, -1\/10, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 - 2c?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27644.\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1\/4  (b) 2\/7  (c) -15  (d) -6.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -j**5\/15 + 4*j**4 + 54*j**3 - 513*j**2. Let p(y) = 0. What is y?\nAnswer: -3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 7*v + 7. Calculate m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 - 10. Let c = b - 12. What is the nearest to 0.1 in 3, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 112031146 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -v**4\/4 - v**3\/3 + v**2 + 26*v. Let h(n) = -n**2. What is 5*h(b) - u(b)?\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 354, 1231, 2906, 5631, 9658, 15239, 22626?\nAnswer: 32071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*o + 373 + 317 = 0. Suppose 3*j - 6*m - o = -3*m, 4*m - 40 = -4*j. Calculate the smallest common multiple of j and 338.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1028 and 7597948?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1344 times -4\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 1 - (-75 + 24 + 39)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30456 + 23568 = -168*z for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jbfwnfa. Give prob of sequence ffw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11713 bigger than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 5*y + 61 = -5*p, -5*y = 2*p + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -714.174 rounded to the nearest 10?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 - -82. Calculate the least common multiple of h and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j + 2. Let m be u(3). Suppose -2*d = -m - 11. Let p(y) = 2*y + 5. Is p(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 17 = -3. Let o = a + -3. Factor -2*t**3 + 2*t**4 + t**3 - t**o.\nAnswer: t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 109. Let w = b + -44. Put 2, w, -3 in increasing order.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 3*p + f, 0 = 2*p - 3*f - 34 + 3. Let s = 7 - 4. Solve 5*c - p = -2*k + s*c, -4*k = -3*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.736 - -3.436. What is the closest to 2\/7 in -0.35, -6\/11, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - (168\/(-20))\/6. Let u(z) = -1 + 1 - 5*z**2 + 4*z - z**3 + 6 - 2*z. Let t be u(-5). Sort y, -1\/5, t in decreasing order.\nAnswer: y, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*l + 100 = 26*l - 395 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p - 208. Determine g(-44).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-3 - 5) - (-11 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2008ff (base 16) to base 9.\nAnswer: 3848817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (69\/(-6) + 11)*-546. Calculate the highest common factor of 364 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -0*j + 6. Let p = 3 - j. Suppose -5*n + 2*l + p*l + 112 = 0, n - 24 = 2*l. Calculate the smallest common multiple of n and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = f - 504. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3\/2 - 1720*z**2 + 340690*z - 14789400.\nAnswer: 5*(z - 314)**2*(z - 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 440 * -715928\nAnswer: -315008320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -973, -3878, -8717, -15490, -24197, -34838, -47413?\n\"Answer: -967*v**2 - 4*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 892*a - 1343*a**2 - 892*a.\nAnswer: -1343*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/16*(-48)\/(-54) - (-4)\/6. Solve -6*a - 2 - 28 = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 11*b**2 - 9*b. Let a be p(10). Let j = 15 - a. Suppose -64 = -j*n + 3*y, -2*y - 1 = 2*n - 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**5 + 1221*j**4 + 92393*j**3 + 2506975*j**2 + 26471250*j + 71375000 = 0. What is j?\nAnswer: -1142, -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 52\/(-8)*118916\/(-12467)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19451365.7 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 6:02 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 - b**2 + 2*b**2 + (87*b + 56*b - 17*b)*(-2*b + b - b))*(3*b - 2*b - 3*b).\nAnswer: 500*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 63241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.9  (b) -4\/7  (c) 0.4  (d) -4  (e) -1  (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 + 5*s - 1. Let x(u) = -u. Let y(t) = -t**2 + 2*t + 1. Let h be y(2). Let p be 8\/6 - h\/3. Let m = p - 2. What is m*b(r) - 6*x(r)?\nAnswer: r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -2 - (9 + (-8 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 400212 and 100053.\nAnswer: 400212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 377664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.09896 + 0.49896. Which is the fourth biggest value?  (a) 4  (b) g  (c) 0.5  (d) -258\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**2 + 9*c - 1. What is w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.813520518 to 4 decimal places.\nAnswer: 0.8135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 p when three letters picked without replacement from {t: 1, r: 1, j: 1, p: 1, a: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 0. Let i(j) = -5834*j**2 + 5*j - 6. Let w be i(u). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-4) + 284\/16. Suppose 0 = -2*c - 10, 5*c = -2*f + 13 + 26. Let n = f - j. What is the remainder when 111 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227808 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {h: 1, n: 2, w: 1, o: 5, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**4 + 3*b**4 - 6*b**4 - b**4 + 2*b - 2*b + (0 - b + 0)*(-b**3 + 0*b**3 + 2*b**3) - 5*b**4 - b**4 - 4*b**4 + (-1 + 0 - 2)*(6*b - 6*b - 6*b**4).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 2:09 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00044141 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 1.1  (b) -1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -62*d**2 + 305*d + 21. What is o(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - -4 - (1 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9644501 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9389235497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3287 to 3 dps.\nAnswer: 0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) 1  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -3. Suppose x = -4*n - 7 - 5. What is the nearest to 0.1 in n, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + 43*k - 2117. Calculate the remainder when 286 is divided by g(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1095023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c**5\/5 - 339*c**4\/5 - 1008*c**3\/5 - 831*c**2\/5 - 30*c = 0 for c.\nAnswer: -25, -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-14)*u**0*u*u assuming u is positive.\nAnswer: u**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 77188400 rounded to the nearest one hundred thousand?\nAnswer: 77200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o**3 - 26*o**2 - 2*o - 21*o**2 + 50*o**2 + 2 as r*o**2 + z*o**3 + i + j*o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*(sqrt(128) + -1) + sqrt(128) + (sqrt(128) + sqrt(128) + 2*sqrt(128))*-4 + (sqrt(128) - (sqrt(128) + (sqrt(128) - sqrt(128)*2)))*-3*-6*4)**2.\nAnswer: 4480*sqrt(2) + 2007045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -30412153 (base 7) to base 6\nAnswer: -130244011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13120 and 424640.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329176995?\nAnswer: 3, 5, 7, 19, 165001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (49 + -51 - 324\/(-210))\/((-2)\/10). Factor -4\/7*b**2 - 24\/7*b + 6\/7*b**3 + 2\/7*b**4 - v.\nAnswer: 2*(b - 2)*(b + 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -14*t**2 - t. Let h be x(1). What is the smallest common multiple of (-129)\/h - (-6)\/(-10) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**3 - 3757920*q + 3757920*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 4 + 4)*(40*l - 298 + 298)*(2 - 5 - 5).\nAnswer: -640*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 17*j - 35*j. Let b be ((-89)\/10 + (-2)\/4)*j. Which is greater: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (4 + -5 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 224\/70 + (1 - (-12)\/(-10)). Solve -u*n - 9 + 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2249, -2240, -2223, -2192, -2141, -2064, -1955, -1808?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.5  (b) -0.5  (c) -2\/5  (d) -1  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 595, 1316, 2317, 3598, 5159?\nAnswer: 7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -22, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -2438898.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k - 1. Let j(a) = 22*a + 26. Let t(v) = v**2 - 7*v. Let n be t(6). Let m(b) = 7*b + 9. Let h(r) = n*j(r) + 17*m(r). What is -2*h(p) + 7*q(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -12*m**2 - m + 4. Let j be v(10). Let l = j - -2236. Does 3 divide l\/70 + 4\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -27. Let o = f + 5. Let x(y) = y**3 + 4*y**2 - 4*y - 4. List the prime factors of x(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3534083\/94 - -37596. Find the common denominator of 93\/22 and f.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swesiqeg. What is prob of sequence iw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 8 = q + q, 5*q - f = 75. Let a(m) = -m + q - 4 + 1. What are the prime factors of a(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -156 - -182 - (8 + -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -15*v**3 - v**2 - 2*v - 1. Let o be z(-1). Calculate the remainder when 40 is divided by 10\/4*126\/o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26.54 - -26. What is v rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16312766203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 8879. Let y(o) = 3667*o - 3. Determine l(y(p)).\nAnswer: 3667*p + 8876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 0 = x. Let w(r) = 14*r**2 - 2*r + 13. Let u(j) = 18*j**2 - 2*j + 17. Let h(a) = 4*u(a) - 5*w(a). Determine h(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6435156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lqa when three letters picked without replacement from dyyqqryrrqalqr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(7) + 2 + 4*2*sqrt(7) + -4)**2.\nAnswer: -18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - 3 + 3 + 0 - 2*v + 0 + (1 - 1 - 1)*(0*v + 0*v - v))*((2*v + 2*v - 5*v)*(-3*v**2 + 0*v**2 + 2*v**2) - 18 - 36*v**3 + 18).\nAnswer: 105*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 427 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {o: 2, z: 3, g: 1, q: 2, f: 1, n: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7936*o**2 - 2602*o.\nAnswer: 15872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 29*c - 26. Determine q(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 201 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.5 + -10. Let r = 170 + -161.2. Let d = 8.3 - r. Sort w, d, -5 in decreasing order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 66*u**2 - 1. Let x be c(1). Let k = 134 - x. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4345 divide 81192930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-2\/13)\/u)\/(u*u*u**(1\/20))*(u*u**(11\/5)\/u)\/u*u**(-1\/7))**44 assuming u is positive.\nAnswer: u**(-22957\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 4)*(v**3 + 0*v - 16*v - 2*v**3) to k + l*v + g*v**2 + j*v**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 4*f + 20 = 0, 0 = -3*i - i - 3*f - 15. Suppose -3*c + 137 = 2*g, 2*c = 2*g - i*g + 98. What is the remainder when 186 is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-36)\/(-32))\/((-3)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2. Let h(j) be the third derivative of 0 - 5*j**2 + 0*j**3 + 0*j + 1\/4*j**4. Give h(g(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 9*w**2 + 10*w - 5. Calculate the remainder when 240 is divided by x(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.1619 - -3.3619. Let z be ((-8)\/6)\/(4 + -6). What is the second smallest value in -5, -0.5, u, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i**4\/4 - 19*i**3\/3 - 21*i**2 + 36*i - 10. What is the smallest common multiple of 13 and w(21)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -106\/2425 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1.8  (c) 1  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-1\/6)*q**(1\/5))\/(q**1)**(8\/15))**(-2\/147) assuming q is positive.\nAnswer: q**(-5\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 395491997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06659 + 0.4.\nAnswer: 0.33341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**4\/9 - 190130*m**3\/9 + 380308*m**2\/9 + 1267576*m\/3 + 507024 = 0?\nAnswer: -95067, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 - -3213215?\nAnswer: 3213154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 829, 3640, 8391, 15082, 23713?\nAnswer: 34284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 2 o, and 1 r when four letters picked without replacement from {o: 2, q: 2, x: 8, i: 1, r: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 649129*v - 162352*v - 162085*v - 162337*v - 162357*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -47841.3534 and -4.\nAnswer: 191365.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 21*o + 5. Let i be z(0). Solve 0 = -i*d - 15, 3*y + 2*d = -0 + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*k**3 + 27 - 27.\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -107 - -106.9. Let w = x + 103.1. Let q = w - 102.8. Round q to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51530 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66005542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, d: 9}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 - 21. Let o = 0 + -1. What are the prime factors of (q*-16 - -1)*o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26*t + 327 - 327)*(1 + 2 - 1 + (3 - 3 + 1)*(-3 + 4 - 2) - 162 - 21 - 78) to the form k*t + o and give k.\nAnswer: -6760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -4\/487?\nAnswer: -4\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-249)\/332*(-4)\/(-14).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -713*c**4 + 990*c.\nAnswer: -8556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/6 - 2017*j**2\/3 + 2075840*j\/3 - 27888112.\nAnswer: (j - 1996)**2*(j - 42)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + 3. Let r = -16 + d. Solve -14 = -5*a - 3*n + r*n, 0 = -4*a - 3*n + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 10*f**2 - 15*f + 1. Suppose -o - 3*b - 20 = 0, o + o = -2*b - 28. What is the remainder when l(o) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhlehcheqq. Give prob of picking 1 l, 1 h, and 2 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -15428*b + 370115. Give i(24).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.03 - -1.1. Let c = b - 0.12. Let r = 3.25 + c. What is r rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 21111211010000?\nAnswer: -21111211002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 PM and 7:10 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 74457546901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -56771868 or -56771869?\nAnswer: -56771868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17634551.\nAnswer: 11, 41, 61, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24.38 - -30.7. Let p = -7 + l. Let u = 0.28 + p. Put u, 4, 0.3, -1\/5 in descending order.\nAnswer: 4, 0.3, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.03 + -3.97. Let j = -3 - -4. Which is the nearest to -1\/3?  (a) p  (b) j  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/116052 and -89\/5576604.\nAnswer: 105955476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*k**2*n + 2*k**2*q**2 - 6*k**2*q - 7*k*n*q**2 + 73*n wrt k?\nAnswer: 28*n + 4*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6 - 3 + 3*o)*(0 - 3 + 1).\nAnswer: -6*o - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1579\/102 + 1\/51. Let z = s + -14. Which is the smallest value?  (a) z  (b) 1\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -5.87.\nAnswer: 17.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11815 less than 180?\nAnswer: -11635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 1484 = 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, c: 15}. Give prob of picking 2 c.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 v, 1 p, and 1 n when four letters picked without replacement from {j: 1, p: 6, v: 3, n: 6, x: 1, y: 3}.\nAnswer: 108\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -23, 187460 in decreasing order.\nAnswer: 187460, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1\/2, 2, -25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5527939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-3) - (-6)\/3. Suppose n = 5*x + 5*c + 5, -3*c = 5*x + c + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -3. Let v(s) = -4*s + 1. Determine v(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (5 - 0) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 11*r + 16. Let t be p(-4). Is -28 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*5\/(-10)*1*-3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4 = i, -3*i + 18 = 5*d - 25. Suppose i = 5*o - 19. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2634 and -3.\nAnswer: 7902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 106 and 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b**3 + b**2 - 24*b + 37. Calculate d(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.825 + -6.825. What is the nearest to 1\/5 in 4, r, 55, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2793)*-5 - sqrt(2793))\/((sqrt(147) - (1*sqrt(147) + sqrt(147))) + (sqrt(3) - sqrt(54)\/sqrt(2))).\nAnswer: -28*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - 2. Let i(u) = -u**3 + u**2 + 4*u. Is i(y) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1944*n**3 - 1938*n**3 + 3884*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 4 + 2. Let j(r) = 5*r + 1. Let l(t) = -6*t + t + 4*t - 1. What is c*l(z) + j(z)?\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Let o(q) = -h*q + 7*q - 2*q. Let u(j) = -j - 3. Let n(t) = -2. Let y(m) = 3*n(m) - 2*u(m). Give o(y(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**3\/6 + 13*w**2 + 2*w - 10. Let m(d) = -2*d**3 + 3*d**2 - 3. What is -m(h) + 3*z(h)?\nAnswer: 2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 395\/(-15) - 6 - 3. Are -35 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 384\/336*(-3)\/(12\/(-14)). What is the second derivative of 4*x + 27*x**2 - 7*x**2 - 1 - 6*x**2 - 4*x**s - 15*x**2 wrt x?\nAnswer: -48*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -505*g**3 + 108*g**2 - 57*g + 27. Let v(x) = 202*x**3 - 45*x**2 + 23*x - 11. Give -5*a(m) - 12*v(m).\nAnswer: 101*m**3 + 9*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 355\/1065*(-42)\/(-8)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 1 + 10*(-13)\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.2 - -156.2. Let m = 155 - d. What is the nearest to 2 in 0.1, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -134, 1, -1 in increasing order.\nAnswer: -134, -27, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111000100110010001111 (base 2) to base 8.\nAnswer: -7046217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 0*o = -4*o - 91, 4*l = -3*o + 48. Suppose 25 = l*w - 35. What is the least common multiple of 88 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6994864786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 75\/200 - (-203)\/56. Solve -k = -1, -k = n*v - 0*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 2*b - 54 = -u, 4*u = 2*b + 198. Suppose x - u = -3*x. Suppose 0 = -4*g + 13 + 7. Solve -x = g*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33093734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffgg when four letters picked without replacement from {g: 1, f: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 403584955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t - 36. Give h(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 53*c**2 - 10*c + 13. Let q(g) = 2*g**2 + 3. Calculate s(q(f)).\nAnswer: 212*f**4 + 616*f**2 + 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91061 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**4 - 16 + i**2 + i**2 + 18 to the form l*i**3 + j*i + x*i**4 + f*i**2 + w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z**2 + 2304656*z + 331964954896 = 0. Calculate z.\nAnswer: -288082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 505741 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**2\/8 - 255825*g\/4 + 511647\/8 = 0. What is g?\nAnswer: 1, 170549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twwtwwtttktewwkeewt. What is prob of picking 1 w and 1 e?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 49*q - 4. What is the tens digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 51 - 9. Calculate the common denominator of 49\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8210 - -8214. Sort -1, 1, t, 2, 5 in ascending order.\nAnswer: -1, 1, 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 11*m + 7. Determine j(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9480269531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + g**2 + 1. Calculate f(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 2) + 2 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 2184\/79129?\nAnswer: 2184\/79129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6312 - -6604?\nAnswer: 14016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 3*y - 79 = -236, 0 = -5*u + 5*y - 155. Let x = 38 + u. What is the remainder when 22 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-10) - 18\/(-5). Suppose 17*h = 10*h + 1253. Suppose 0*d + d = 3*r - h, 0 = k*r - d - 239. What is the greatest common factor of 30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 1 = -k - 0*v, 0 = 5*k - v - 14. Let d = 1 - -1. Suppose -d*y + 150 = k*y. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2571 - 135?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3721*z**2 + 12*z + 4. Let s(m) = 5586*m**2 - 19*m - 6. Determine -11*q(g) - 7*s(g).\nAnswer: 1829*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -4*h - 4*h. Suppose h = -2*j - 3*j. Suppose 2*t - 35 = g, -4*g + 100 = 4*t - j*g. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612535.2l in millilitres?\nAnswer: 612535200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 49 = -101. What is the second derivative of -i*y**5 + 4*y - 4*y**5 + 50*y - 4*y**5 + y**4 wrt y?\nAnswer: -460*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, x: 2, u: 1, g: 1, j: 2}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.32 - -0.18. What is the third biggest value in -4, t, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8830 + -8796. Calculate the remainder when 755 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**2\/6 + 1\/6 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 0.4  (c) -0.2  (d) -0.782  (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -1359072, -3.\nAnswer: -1359072, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c - 440?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + i + 0)*(-7 + 15 + 10) + 30*i - 30*i + 19*i.\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o = -16*o + 28. Let w be (8\/36)\/((-1)\/(-3)). Which is the third biggest value?  (a) o  (b) 2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/5)\/(36\/(-45)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 23*o**2 + 80*o + 1402. What is g(-16)?\nAnswer: -1670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6\/11, 2, -1\/17 in descending order.\nAnswer: 2, -1\/17, -6\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*((t*t*t**(1\/2)*t*t)\/t)\/t)**(-1\/3)\/((((t**(-1\/3)\/t)\/t*t)\/t*t)\/(t*t*t**(-31\/5)*t)) assuming t is positive.\nAnswer: t**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-19)\/(-72) + 140\/(-36) + 4. Let x = -12 + 7. Let a = -4 - x. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -120, -227, -332, -435, -536?\n\"Answer: w**2 - 110*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3384 = 13*f. What is the greatest common factor of f and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**3\/3 + 154*x**2\/3 + 448*x\/3 + 296\/3 = 0.\nAnswer: -74, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1685.3639 to 0 dps.\nAnswer: -1685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 44 - 49 - (-5 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 3:25 PM?\nAnswer: 83","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 7*r - 0*r. Calculate the remainder when 3 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 2*y**2 + 2*y - 3. Let p be 1 - -1*(-8)\/(-8). Determine d(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 25  (b) -0.1  (c) 7  (d) 1  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1553095\/7 or 221872?\nAnswer: 221872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (4 + 4 - (10 - -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -6 + i + 0 + 4. Does 8 divide x(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 7*b - 8. Determine w(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48 - 74. Let t = u - -73. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 3:06 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 9*s**3 - 6*s**2 + 14*s + 13. Let q(k) = 10*k**3 - 7*k**2 + 16*k + 12. Give 6*p(d) - 5*q(d).\nAnswer: 4*d**3 - d**2 + 4*d + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 17. Let k be g(-11). Suppose 0 = 5*v - 240 - 110. Let r be -1*9\/k*v\/15. What is the highest common divisor of 49 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.291992l to millilitres.\nAnswer: 291.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 59, 147, 265, 413, 591, 799?\n\"Answer: 15*b**2 + 43*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -915 = -3*j + 2*l, 0 = 7*j - 9*j - 2*l + 610. Does 61 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(96)\/sqrt(4))\/sqrt(12))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gzzqqorghhzq. What is prob of sequence hog?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**(-3)*s))\/s**0)\/((s*s**(-2\/5))\/(s*s*s*s**(-6)*s*s)) assuming s is positive.\nAnswer: s**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -31. What is the remainder when i is divided by (-15)\/(-5) - (4 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 405 = 5*p + 392, -5*f = 15. Let n = 0.2 - 0.1. Is p < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**3 + 41*l**2 - 13*l + 169. Calculate t(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -768 - -785. Solve -3*g + 4*p + p = 37, 3*g - p + u = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -27. What is the least common multiple of b and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 625*r - 1198 = -6823 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 7*i. Suppose -r + 2*r + 6 = i. Let s = -4 - r. Solve 3*x - s = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 255345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/8*1)\/(11\/(-220)). What is the remainder when 146\/f*(0 - -5) is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -117 - 203. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1207 - 458. Suppose 2782 = 5*l + d, -4*l - u = d - 2974. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b3 (base 13) in base 3?\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29467084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.6265 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*z + 53*z + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(-15)\/9*(-6)\/5. Suppose s - r = -2*s. Solve s*p + 2 = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**9*i*i\/i**6)\/((((i*(((i*i\/(i*i**(-8)))\/i*i)\/i)\/i)\/i*i)\/i)\/((i\/(i*(i*i*i\/(i\/(((i**(13\/2)\/i)\/i)\/i)*i))\/i)*i)\/i)) assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.66 less than 0.13669678?\nAnswer: -1.52330322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 1, f: 2, b: 1, x: 1, l: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4144 and 982860452.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5628978 and 14?\nAnswer: 39402846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14*(-1 + (-69)\/21). Let v = -64 - -72. Let r be (h\/v)\/((-3)\/4). Which is bigger: 8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/2, -2, 2084385, -0.2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(1440\/(-360) - (-20)\/6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 4246 + 9162 = 3*a, 0 = 3*a - 3*c - 13416. Does 62 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 581944 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -2*h - 10. Differentiate 4*r**h + 66*r - 66*r + 2 with respect to r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6*q = 3*q - 18, 28 = -5*s - 3*q. What is the closest to 1 in s, -1\/6, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**1*x*x**(-11)*x)\/(x**(-1\/4))**(-2\/19))**(-34))**(-3) assuming x is positive.\nAnswer: x**(-15555\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326 - 255 + 6*x - 70 + x**4 - 4*x**3 to m*x**4 + c*x + d*x**2 + n + g*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s - 3*s + 17*s + 7*s - 6. Let q be y(5). Let n = q + -48. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 135 by 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 14*a - 19*a - 80789, 3*a + 80795 = 4*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16611448 or 2?\nAnswer: 16611448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of v**9\/60480 - v**7\/10080 - 5*v**4\/4 - 13*v**2. Let o(s) be the second derivative of h(s). Solve o(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 193052900.\nAnswer: 2, 5, 103, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 13) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -413?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - 222?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1188)\/(-121) - 11 - (-4)\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 0 + 2\/(-1). Suppose -3*x - 27 = 5*q, l = 3*q + 6*x - 2*x + 14. Let r(a) = a + 9. Calculate the remainder when 4 is divided by r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**6\/120 - 2*t**5\/15 + t**4\/3 - t**3\/3 - 3*t**2 - 168*t + 1. Calculate u(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/1)\/(1050\/100*12*8\/672).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10090382 times 0.5\nAnswer: -5045191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 6, -1, 0 in descending order.\nAnswer: 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiihoiooioiioih. What is prob of sequence hio?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -20. Which is the biggest value?  (a) 5  (b) -2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -0.6, -497, 9, 1 in descending order.\nAnswer: 9, 1, -0.4, -0.6, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19105.\nAnswer: 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -5*k**2 + k**3 + 221 - 453 + 224 - 5*k. What is c(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*r - j + 417, -5*r + 4*j = -703. Let p = r - 141. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2181 and 3867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17055578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*k - 7 = 47. What is the greatest common divisor of k and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - 8*j**2 + 5*j - 12. Let f be r(8). Let d = f + -4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6826*v**4 + v**2 - 289 wrt v.\nAnswer: -163824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*q = -2*y + 49904, -5*y = -q + 49890. What is q rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 11:12 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 85 and 6035?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21773*y*z**2 + 6*y*z + 2*y - 5*z**2 + z - 3446 wrt z.\nAnswer: -43546*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 13\/78 + 322\/12. Let s = a + -31. Let g be ((-10)\/s)\/((-55)\/30 + 2). Solve -3*f + g = -2*d + 2*f, -5*d = 4*f - 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -10*g**3 + 10*g + 10*g + 9*g**3 - 13*g**2 + 17. Let b be f(-17). Let p = b + -88. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-46)\/(-1)*1\/2. Let t = 2 + h. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - (-164 + -47 + 119).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z - 1. Let b be c(-1). Suppose 33 = b*x - 11. What is the remainder when 20 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 0*m = -9. Suppose 5*g = -5, -p = p - m*g - 113. Suppose 0*t - 3*r + p = 2*t, -55 = -4*t + 5*r. Calculate the lowest common multiple of 18 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from mwwutbbm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**5\/4 - 15*v**4\/4 + 21*v**3\/4 + 71*v**2\/4 - 39*v\/2 = 0 for v.\nAnswer: -2, 0, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 0.3. Let l = p + 1. What is the nearest to -1 in l, 2, 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -1. Let x(y) = 5*y - 1. Let g(q) = 14*q - 4. Let m(c) = -4*g(c) + 11*x(c). Let u = -12 + 17. What is u*p(r) + m(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 5. Let l(k) be the first derivative of -3*k**2\/2 + 2. Let p(r) = -28*r - 17*r + 47*r. Give s*l(o) - 7*p(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3*3\/(-18)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 8. Find the third derivative of 0*r**3 - 4*r**3 + r**3 - 3*r**h + 6*r**2 wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 2*l - 5 - 786*l**2 - 22 to the form z + g*l**2 + q*l and give g.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 69, 166, 313, 516?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2159, -1747, -1335, -923, -511, -99?\n\"Answer: 412*z - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 176529*z**4 + 8434491*z.\nAnswer: 2118348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18650 and 6199260?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((12 - 10)\/((-12)\/(-68)))\/((-2)\/(-636))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**3 + 83*s**2 - 191*s - 152. Let d be k(39). Solve -4*j + 12 = d*u, -5*j - 170*u - 5 = -175*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 + 496 = 8*n. Is 20 a factor of (n\/1)\/((-8)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (42 + -9 + -12 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/4*-6*6. Suppose -31 = -2*q - d. Suppose -4*m + q + 5 = 0. Solve v = -3*v + m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 4*s - 9. Suppose -5*q + 2*t = -28, -6*t - 12 = q - 2*t. Calculate the remainder when v(11) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/7825?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22837582 is divided by 1336.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/7 in 4, -11, 0.21, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -782, -1489, -2194, -2897, -3598, -4297, -4994?\n\"Answer: n**2 - 710*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 o when three letters picked without replacement from hhhohhhhhhhohoh?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9187415 to the power of 1\/2, to the nearest integer?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -i**2*o**2 + 2*i**2*o + 14*i**2*p**2 - i*p**3 + 81*o**2*p - 5801*o**2 wrt p?\nAnswer: 28*i**2*p - 3*i*p**2 + 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10446112 divided by 4\nAnswer: -2611528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -59*l + 181. Let v(j) = -31*j + 90. Calculate -6*i(g) + 11*v(g).\nAnswer: 13*g - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262 - 200 = -6*g. Let z be 4\/(-6) + g\/21. Differentiate 76*s + z - 9 - 94*s with respect to s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.11 and -10.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2 = -4*j + j, -5*j = m - 11. What is the common denominator of -41\/56 and m*2\/84*1908\/(-48)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z - 50*z**2 - 12*z + 45*z**2 + 15*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1727 plus 0.1?\nAnswer: 0.2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.39 take away -6.929?\nAnswer: 8.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2126 and 635116988.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 15301, 30601, 45901, 61201?\n\"Answer: 15300*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36222, -36223, -36224?\nAnswer: -36225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3117 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-4)\/(-6)))\/(12 + -5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12648)\/252 + 20\/105.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of -r**5\/20 + r**4\/2 + r**3\/3 - 7*r**2\/2 + 28*r. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -96 + 160.7. Let x = 60.7 - c. What is the biggest value in -25, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 705004033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 - 98. Let b(g) = 3*g**2 - 146. What is 5*b(u) - 8*p(u)?\nAnswer: -u**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*i - 10. Suppose 6*b = i*b + 416. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qudd when four letters picked without replacement from jrijdrddiurdqjdjij.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p - 3. Let t be k(-2). Let z(x) = 3*x + 1. Let g(h) = 7*h + 2. Calculate t*z(s) + 2*g(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 259567899 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 177 and -0.1722.\nAnswer: 176.8278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = -9*n + 5*n - 84 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 16) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 474 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37\/2 - 103\/5. Find the common denominator of v and 1*-1 - 266\/(-36).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22154394.2 less than -183?\nAnswer: -22154577.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/5684 and -83\/74858.\nAnswer: 30392348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 203310011?\nAnswer: -203310010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.2  (b) 0.4  (c) 577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -557, 1, 4, 73.87 in descending order.\nAnswer: 73.87, 4, 1, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 26, -214 in decreasing order.\nAnswer: 26, -18, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t**2 - 91*t - 1637. Determine x(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15999627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -7*q**4\/12 + 3*q. Let a(y) = 2*y**2. What is g(a(w))?\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8599 is divided by 115.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 6*t**2 - t + 8. Let d be r(6). Suppose 2*n - i + 230 = 7*n, d*i - 10 = 0. Is 22 a factor of -2 - -1 - n*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2421 + -2354. Which is the nearest to -2?  (a) 2\/3  (b) w  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3 + 3\/2*y**2 - 9\/2*y.\nAnswer: 3*(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 8:32 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (799\/(-34))\/((6 - 3)\/(-186)). Suppose k*b - 1456*b = 351300. Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*n + 60 + 5 - 63 + 57*n**3.\nAnswer: 57*n**3 - 66*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*h**2 + 23*h**2 - 66*h**3 + 2*h**4 + 65*h**3 + 2*h + 15 - 16*h**2 to m + b*h**3 + q*h**2 + c*h + l*h**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 499*n - 12217 = 85*n + 2273 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2296 - -8958. What is the remainder when m is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.003 and 12.6?\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 6 = -3*z - 1, -10 = -2*z - 2*x. Solve z = 3*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 3329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -107350 rounded to the nearest 1000?\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.5 and -0.3.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23 in -4, -3, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*p**2 + 34*p**2 - 26*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 u, and 1 x when three letters picked without replacement from cccpxxcuxxhuxuxpch.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 31c80?\nAnswer: 31c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of 1\/6*o**3 + 7\/6*o**4 + 1\/2*o**2 - 1\/20*o**5 + 0 + 13*o. Is 5 a factor of t(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.073 and 0.85.\nAnswer: 0.06205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/49  (b) 1\/3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*o + 0 + o**2 - 6*o + 1)*(-5*o**2 + 3304 - 3440 + 3*o**2) to the form d*o + k*o**4 + z*o**3 + j + g*o**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1158 + -1162.81. Round i to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -643, -648, -657, -670?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - u + 3130 - 3138, o + 3*u + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-366*(-20)\/(-15))\/(-2*1). Let j = w - 245. Which is the nearest to 0?  (a) j  (b) 4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 442004 - -43?\nAnswer: 442102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -702, -2632, -5848, -10350, -16138, -23212?\nAnswer: -31572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*i + 7*w - 9*w, 16*w - 5 = -3*i + 18*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10111102100 (base 3) to base 13.\nAnswer: 2543a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 + 2*l**3 + 39 - 41)*(0*l - 2*l + 5*l) + (-5*l**2 + 5*l**2 + 2*l**2)*(30*l**2 + 114*l - 114*l).\nAnswer: 69*l**4 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.96 - -0.44. Let j = f - 11. Let m = j + -0.4000005. What is m rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 1141*w + 8004. Calculate a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1133*u + 2292*u = -315100 for u.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 636, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.214 - 113.786. Let u = z + 120. Sort 3, -2\/5, u, -4.\nAnswer: -4, -2\/5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-158)\/(-632))\/((3\/(-18))\/((-48)\/13896))\nAnswer: 1\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -196749720*g**3*q - 236211*g**2*q + 40*g**2 + g - q wrt g.\nAnswer: -1180498320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/6*(-1)\/2*-9. Let m(a) be the first derivative of -a - 1 + k*a**2. Differentiate m(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3190425143.\nAnswer: 3190425143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 498*b + 1999. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 15\/6)\/((-134)\/(-268))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5960, 11922, 17882, 23840, 29796, 35750?\nAnswer: 41702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (418\/19)\/((-6)\/3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*q + 2604 = 0, q + 1107 + 2400 = 4*f. Calculate the least common multiple of 350 and f.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(5*(-2)\/(-6)*45\/975).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4700669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.578982849 and 1.\nAnswer: 1.578982849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*u**2 + 38*u**6 + 18*u**2 - 24*u**6 + u wrt u.\nAnswer: 1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 88*g - 93*g - 4*t - 14, 0 = -2*g - 3*t - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 11*x = -24, 2*o + 1 = 3*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b - 17. Let j be c(-7). Suppose 0 = 2*o + 3*u - 5*u + 22, -20 = -5*u. Let i = j - o. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13404 + -13402. Which is smaller: u or -124\/3?\nAnswer: -124\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 42782628?\nAnswer: 385043652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14.45 + -14.2. Let v = -3.75 - j. Put -1, -2, -0.3, v in ascending order.\nAnswer: v, -2, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence thr when three letters picked without replacement from attthhttr?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/78 and 49\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 185*m**2 - 44. Let l(o) = -25*o**2. What is d(l(v))?\nAnswer: 115625*v**4 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-480)\/1200)\/((-2)\/(-120)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 8:10 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a microsecond in nanoseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/(((j\/((j*j**(-8\/5))\/j)*j)\/j)\/j))\/j))**28*j*j*j**(9\/4)*j\/(j*j\/(j**(-4\/9)\/j))*j*j*j assuming j is positive.\nAnswer: j**(13969\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 554219 is divided by 21312?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 90 - 80 = 0. Let g(j) = j**3 - 8*j**2 - 6*j - 13. Suppose 0 = 7*h - 4*h - 27. Let f be g(h). Solve 0 = 3*i + v*x + f, -2*x - 13 = 2*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c - 14891752 = -33*c + 15855448. What is c rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 p when four letters picked without replacement from {p: 7, h: 2, q: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/(-5) + -1 + 7. Solve -z = -0*z - j*d + 10, -24 = -4*z - 4*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12685438 minus 0.627?\nAnswer: -12685438.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1308 is divided by 1285?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -132, 1.7, -2158, -10 in increasing order.\nAnswer: -2158, -132, -10, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1785*g**3 + 211*g**3 - 15*g**2 - 6*g**2 + 21*g**2 + 3*g**2 to the form d*g + a*g**2 + j + b*g**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 8*y - 8. Let j(c) = 5*c - 7. Give 6*f(t) - 7*j(t).\nAnswer: 13*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -60302 + 0.1.\nAnswer: -60301.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 249 - 481 = -260. What is the remainder when 2616 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4516200 divided by 15054?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6663*y**6 + 7*y**2 + 2*y - 415.\nAnswer: -799560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*p + 26*p - 9*p in the form i*p + r and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017477587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 160179452 to the power of 1\/2, to the nearest integer?\nAnswer: 12656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*(j*(j*j\/(j*j\/j**(1\/5))*j)\/j*j)\/j))**8*j**(-6)*j*(j\/j**(-8\/5)*j)\/j*j)**(-50) assuming j is positive.\nAnswer: j**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 26\/55, -1\/2, 0.2, -1\/3 in ascending order.\nAnswer: -1\/2, -1\/3, 0.2, 26\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 289208888 - 200729826. Let x = 88479042.0000108 - n. Let h = x + 20. Round h to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 AM and 12:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - -18) + -12 + (-1 - (-5 - (-6 + 11)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 327522 and 350.\nAnswer: 57316350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3208 - 816. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012020 + 1220?\nAnswer: 1021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 185 by 2.\nAnswer: 185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 45*n + 110. Let w(i) = 32*i + 111. Give -4*w(z) + 3*x(z).\nAnswer: 7*z - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.13  (b) -9\/4  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12935, 51764, 116483, 207092, 323591?\nAnswer: 465980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**2 + 50*b + 98. Let w be r(-2). What is the second biggest value in 1\/5, 2\/11, -0.06, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 920, 7208, 24212, 57290, 111800, 193100?\nAnswer: 306548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-52*k + 213 - 213)*(-20 + 5*k + 20)*(7*k - 4*k + k)*(-10 + 10 + 11*k) to the form b*k**3 + r*k + z*k**4 + q + m*k**2 and give z.\nAnswer: -11440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -86 + 105. Suppose o = n - 16. Suppose 0 = -2*s + p - o*p + 40, 5*s = -2*p + 103. Calculate the greatest common factor of 231 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9541.564 millilitres?\nAnswer: 9.541564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 14. Suppose -3*f + 2*b = -27, -k*b - 8 = f - b. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-282*g**2 + 157*g**2 - 106*g**2)*(-4 - 1 + 3)*(-26*g + 6*g**2 + 26*g).\nAnswer: 2772*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20091404, 20091428, 20091452, 20091476, 20091500?\n\"Answer: 24*w + 20091380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eueueeeulleeeuel. Give prob of picking 2 l, 1 e, and 1 u.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t - 9. Let g(w) = 2*w + 8. Let o(b) = 3*c(b) + 4*g(b). Let d(i) be the second derivative of -i**3\/3 - 2*i**2 + 2*i. Determine -5*d(n) - 4*o(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 17*f**2 + 11*f - 38. Let l be m(-18). Suppose l*y - 93*y - 15 = 0. Let z = -0.4 - 0.1. What is the biggest value in y, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12 or -108?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 693 and 56718.\nAnswer: 4367286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 12:27 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**3\/3 - 52*i**2\/3 + 130*i\/3 + 184\/3 = 0.\nAnswer: -1, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 10) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1500 and 71898360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5287, 6019, 6751, 7483?\nAnswer: 8215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46\/6259785 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1326994 - 9708212.\nAnswer: -11035206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -227 - 280*x**2 + 559*x**2 - 281*x**2 as h + v*x + d*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-44)\/2*(-1)\/2. Solve -k = -3*a + 2*r, 2*a + 4*r = -r - 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 26 = -4*f, 6*f - 7*f - 2*a = -11. Solve -2*d + 2*y = 0, f*d - 24 = y - 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 11*f + 46. Let a be w(-10). Let h = a - -68. Let v = 1 + 12. Solve 5*c + 24 = -b, -h*b + 2*c + v = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483*x + 367*x = -289*x - 7785 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 135 = 7*d. What is the greatest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -66924.575401 and 280.2.\nAnswer: -66644.375401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 3*r + 203, -123 = -3*u - 5*r + 8*r. Let y = 38 - u. Let s be y*(-76)\/8*1. Solve s = -3*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -819.106 - -818. Let v = s + 0.106. Do v and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -127, -143, -183, -259, -383, -567, -823?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-2) - -3) + -26. Let z = -15 - u. What is the remainder when 73 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/224 and -23\/5088?\nAnswer: 35616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*b + 2*f = -3068, 2*b + 39739*f - 39735*f + 64 = 0 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45572250 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and 10263006 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323329016 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 115  (b) 16\/9  (c) 513  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4, -2, -8, -14, -20, -26?\n\"Answer: -6*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 429 - b**2 + 15*b - 240 - 234. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 691373137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -737 divided by 1\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d**2 - d + 1. Let i be g(1). What is the third derivative of -r**2 - 6*r**3 + i*r**3 + 3*r**3 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + a**2 + 0*a**2)*(16*a - 248 + 248)*(-2 + 0 + 1)*(14 + 22 - 5).\nAnswer: 496*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3511, 3515, 3521, 3529, 3539?\nAnswer: 3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 898\/359, 1.1, 3 in descending order.\nAnswer: 3, 898\/359, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1211555*m**3 - 8*m**2 + 58*m + 12 wrt m.\nAnswer: 7269330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 12*j**2 + j + 16. Let v be k(-12). Suppose -q - v*r + 30 = 0, 1 = 3*r + 10. Calculate the remainder when q is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**3 - g**2 - 3. Let x(f) = -f**3 - f**2 - 4. Let v(h) = -r(h) + x(h). Determine v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192339503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64102280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 206987899 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(65) - (2*(sqrt(65)*3 - sqrt(65)) + sqrt(65))))\/(sqrt(5) - (5*sqrt(15)\/sqrt(3) - sqrt(5)) - sqrt(20)\/(sqrt(8)\/sqrt(2))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 + 35. Let a = q + 20.8. Let i = a + 20. What is i rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 7609, -13719 in increasing order.\nAnswer: -13719, 4, 7609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 190, 790, 1790, 3190, 4990, 7190?\n\"Answer: 200*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**4\/10 + 120*w**3 + 597*w**2\/5 - 2996*w\/5 + 3597\/10 = 0. What is w?\nAnswer: -1199, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 119311 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xtqxqxx. Give prob of sequence txxq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -19*w + 9*w. Let q = 40 + -15. Which is greater: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 1966*t**3 + t**2.\nAnswer: -1966*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*a = -39*a + 240. Solve 4*i + 1 = -5*t, -i = -a*t - 8 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 11*f + 2. Let a be j(-2). Let i be (-6)\/9 - a\/(-6). Let c(s) = 128*s - 145. Let b(n) = 79*n - 91. Let q(t) = 8*b(t) - 5*c(t). What is q(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 1. Let j(a) be the first derivative of -a**4\/2 - 5*a + 205. Calculate j(v) + 5*s(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*b - 7. Let o be 1\/b + (-4)\/28. Find h such that -6\/7*h**3 - 2\/7*h**4 - 6\/7*h**2 + o - 2\/7*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 + 3333?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -243 + 247. Suppose 4743 = x*w + 13*w. What is the remainder when w is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16797 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 9:40 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of -d**5\/5 - 33*d**4\/16 + d**3 + 107*d**2\/8 + 33*d\/2 + 171. Determine q so that p(q) = 0.\nAnswer: -33\/4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 469915 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -7124*j**3 + 7123*j**3 - 2 + 3*j**2 - 2*j**2 as n + f*j**3 + i*j**2 + m*j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1461657 is divided by 1202.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 19 = -3. What is the units digit of 1*j\/(4\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**4\/4 + 501*o**3\/4 + 14385*o**2\/2 + 154056*o + 691488 = 0.\nAnswer: -56, -49, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2)*(-3*o + 2*o + 2*o)*(-1 - 3*o + 1) + 7657*o + 2*o**2 - 7643*o + 0*o**2.\nAnswer: -4*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2339957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001100 - 1010000?\nAnswer: 110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifths of a day in seconds?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 1304027\/444 - 2937. Calculate the common denominator of 3\/4 and a.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5556 and 102?\nAnswer: 94452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*m - 5*y - 54, -3*y = 15. Suppose 4*l = 5*d + 41, -m*l + d = 5*d + 4. What is the smallest value in 2\/3, l, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*m + 53*m + 2676 = 98*m - 5596 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**3 + 4*v**2 + 6*v + 2. Suppose 16 = 10*n + 36. What is y(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 324*s**2 - 6*s + 10. Let y be h(-6). Suppose 4*j + 1402 = y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*x**2 - 24*x**2 - 2 - 1 + 2*x - x**3 + x**2 + 6 to the form n*x**2 + h + r*x**3 + l*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 10:04 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 30351 - s**4 - 4*s + 3*s - 30351 + 252*s**2 as f + h*s + u*s**3 + m*s**2 + b*s**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1645910 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - 208?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 3, -9, -12515, -4, 0.\nAnswer: -12515, -9, -4, -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -r - 77. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 5*c**2 - 7*c - 1. Determine f(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38047 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1970 - (22\/14 - (-24)\/(-42)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 - 10*i - 6. Let h be v(-6). Let c = 7 - h. Calculate the remainder when c is divided by (-1)\/(-1 + 24\/27).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 14336\/476 + (-2)\/17. Suppose 3*r - 4*k = 229, -y = -r + 2*k + 47. Which is bigger: r or 74?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -42, -63, -84?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97823.61kg to micrograms.\nAnswer: 97823610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18429 or 497569\/27?\nAnswer: 497569\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -10*d**2 + 39*d - 23. What is l(7)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -52 - 29. Let c = 80 + t. Which is smaller: c or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and -9.619225?\nAnswer: 115.4307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i - 5. Let o = -3488 + 3485. Let n(w) = -w + 1. What is o*n(v) - f(v)?\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14658 + 14661 - ((1 - -25) + (1 - 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 25*i + 1. Is 13 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - o + 9 = -5*r, r = 3*o - 5. Let s(u) = u**3 + u**2 - 1. Let d be s(r). Let w(n) = -n - 19. Let m be w(-17). Put m, 3, d in descending order.\nAnswer: 3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -14. Let h = -9 - t. Which is the closest to h?  (a) 0.3  (b) 5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 8*c - 7. Let w be j(-7). Let o(x) = x**2 - x + 4. Let n be o(w). Sort -4, n, 0 in decreasing order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7964  (b) -4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/39))**(-14)\/((w\/w**13)\/w*(w\/((w\/w**(4\/15))\/w))\/w) assuming w is positive.\nAnswer: w**(2623\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4*p**3 - 767*p**2 - 212*p + 3850. Calculate d(192).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -r + 35, 5*l - 63 - 84 = 2*r. Suppose -25*u + l*u - 12 = 0. Let p = 1.2 - 1. Which is the nearest to -4?  (a) p  (b) u  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1419871ng to grams.\nAnswer: 0.0000000001419871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1476 divided by 40\nAnswer: 369\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 97755.196 rounded to the nearest ten?\nAnswer: 97760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 17. Suppose 5*k = 100 + a. Suppose 0 = 4*x - 115 + k. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3945 - -4001. Let m = -58.34711374 - -2.34714424. Let v = h + m. What is v rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -12383, -48796, -109471, -194402, -303583?\n\"Answer: t**3 - 12137*t**2 - 9*t - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-6)\/10*14\/((-126)\/165)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 + 3)*11\/1. Let c = 168 + -100. Let a = f + c. Calculate the remainder when a is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 296, 5, -3, -1.\nAnswer: -3, -1, -2\/7, 5, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -128*g + 102*g + 3822. What is the lowest common multiple of (-42)\/(-2) + (0 - -3) and g?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/7612575 and 143\/30?\nAnswer: 15225150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 995435776093\/59458770 + 245\/849411. Let i = a + -16742. Calculate the common denominator of i and -29\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 6946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (2 - (-3 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 0.332629558679?\nAnswer: 0.067370441321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 4*u - 3*u)*(-265 + 102 + 89).\nAnswer: -148*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 28\/10 + 6 + -9. Let x = 74 - 73.919. Let p = 0.091 - x. Do c and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10320 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 482486 is divided by 10229?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 6*v = -18. Let m be (3 + (-32)\/12)*3*24. Calculate the greatest common factor of m and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**4 + 2 + p**3 - 3*p**2 + 2*p**3 - 2*p**3 + 3*p + p**2 + 0*p**2 to the form h*p**3 + t*p**2 + q + n*p + w*p**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1389513 (base 10) to base 3\nAnswer: -2121121001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (9 - 8 - -1)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -595560 - -13.\nAnswer: -595547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 30*a**2 - 40*a - 256. What is the remainder when w(23) is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 904818 and 22002.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25208 or 25207?\nAnswer: 25208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181249 is divided by 2827?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l - 3381*l**2 + 3382*l**2 + 1 + 3)*(2*l**2 - 5*l**2 + l**2) as s*l**4 + a*l**2 + k + g*l**3 + w*l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 305*l - 312*l - 4. Calculate the smallest common multiple of l and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -8, 5.\nAnswer: -8, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + c - 4. Let b be v(-3). Let f(x) = 21*x**3 - 2*x**2 - 2*x + 3. List the prime factors of f(b).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20030203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -60064\/15 + 4008. Let u = -2877\/253 - -2951809\/1518. Let d = -1915 + u. Calculate the common denominator of d and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i - 13*i + 3*h - 2113, -1283 = 3*i + 2*h. Let v = -409 - i. Solve -2*a - 5*k - 3 = 0, -2*a = a - 4*k + v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38122, -152446, -342962, -609664, -952546, -1371602?\nAnswer: -1866826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(108) + -2 - sqrt(108)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/3*(7 - (-114)\/(-18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 917229296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + p = -3, 3*t - 6 = 5*t + p. Let j = -20 + 99\/5. Let o = 0.67 + -0.37. What is the second smallest value in j, o, t, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24646 - 2245?\nAnswer: -30224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -21*n**2 - 17*n - 8. Let j(a) = 12*a**2 - 3*a - 5. Let l(b) = 11*b**2 - 2*b - 4. Let v(z) = 6*j(z) - 7*l(z). Determine -9*v(r) + 2*y(r).\nAnswer: 3*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 25 = 4*v, 3*v - 3*a + 15 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**5 - 26790*m**4 + 80295*m**3 + 160790*m**2 - 749820*m + 642600 = 0. What is m?\nAnswer: -3, 2, 5355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -z**4\/12 - 29*z**3\/3 + z**2\/12 + 29*z\/3 = 0.\nAnswer: -116, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 847, 2818, 6105, 10714, 16651?\n\"Answer: l**3 + 652*l**2 + 8*l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -6*d - 13. Let h(f) = -5*f - 14. Let p(v) = -7*h(v) + 6*z(v). Let i be p(0). Suppose -i = 3*t - 7*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4716, -18841, -42398, -75411, -117904, -169901, -231426, -302503?\nAnswer: -383156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5, 7, 31, 73, 139, 235, 367?\n\"Answer: o**3 + 5*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -22*r + 6. Let a(f) = 65*f - 20. Let p(x) = 3*a(x) + 10*o(x). Let j(u) = -2*u**2 - u**2 + 2*u**2. Determine j(p(z)).\nAnswer: -625*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, c: 4, s: 2, q: 1}. Give prob of sequence icb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.58 + 9737774816\nAnswer: 9737774816.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 2*w + 4*w)*(5 - 6 + 3) + (w - 2*w + 2*w)*(-115 - 141 + 87).\nAnswer: -165*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 13*h - 98. Suppose -221 + 132 = -4*f + 5*v, 5*f + v - 46 = 0. Give n(f).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/16 - 73\/(-36)) + -1325 + 1323?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**3 - 43*w**2 - 46*w - 441. Is b(-23) a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 813*b + 22 = -814*b, 0 = q + 8*b + 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 280777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-2 - (-5 + -1 + 2)). Let w(r) be the second derivative of -1\/12*r**4 + 1\/3*r**3 - 2*r + 0 + r**2. Calculate w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13.999 - 14. Round y to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1067 + 285. Suppose -3*t + z + b = -1079, 0 = 2*t + z - 1619. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 492 and 13095154.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 12) to base 14\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 8:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 3 - 348\/(-90)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, v: 2, q: 1, s: 5, n: 3}. Give prob of sequence aa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 220 - 202. What is the remainder when t is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2709 a factor of 61071696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2. Let n(o) = -o - 3. Let v(h) = 2*n(h) + 3*t(h). Let u(m) = -6*m**2. Determine u(v(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 130.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-21))\/((-2)\/(-84)). List the prime factors of 3\/(i\/(-104))*-6.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b + 27 = -16*b. Suppose -b*u = 5*p - 21, u + 8*p - 7*p = 5. Solve -u*a = 3*n + 7, 0*n + 4*n = 2*a + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -619657 rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2)*y**6*y*((y*y\/(y*y**(-3)*y)*y)\/y)\/y**(-1))**29 assuming y is positive.\nAnswer: y**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 306 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxuuuxxoc. Give prob of sequence cux.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29709 + 49731. Does 142 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -659859976 - 1.72\nAnswer: -659859977.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.0768  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7d3 - -a?\nAnswer: 7dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**4 + 30*m**3 - 2028*m**2 - 13186*m + 15180 = 0.\nAnswer: -23, -15\/2, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -63*h**2\/2 + 2*h - 5. Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -4*k - 270, -40 = 2*j - 4*k - 160. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421.01 + -45227?\nAnswer: -44805.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86 = q - 82 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 62111054 (base 8) in base 15?\nAnswer: 1249a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3502*t. Let a(h) = -h**2. What is y(a(x))?\nAnswer: 3502*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 + 3 + -1 + 5. Suppose -k + 42 = k. Let a = 34 + -23. Solve -y*o = 3*q - k, -5*o - a = q - 10*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -2.438986632354?\nAnswer: -2.938986632354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 7. Let r = 1.9 + 0.1. Let v = 248\/3 + -82. What is the nearest to r in 0, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 11638418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 5*a + 2*a)*(6 - 17 - 11).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {o: 7, b: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30439093*f**2 + 5815154*f - 1 wrt f.\nAnswer: -60878186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 12 - 2 = 0. Solve 28 = -5*l - 0*l - n*t, -2*t - 24 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -136862528 by 64.\nAnswer: -2138477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00593952 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u - 3*u + 4*u + (0*u + 2*u + 0*u)*(3 + 0 - 1) + 1 - 1 + 2*u - 2*u - u + u + 6360 + 289*u - 6360.\nAnswer: 291*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n**(-2\/5)\/n)))**(-5\/2)\/(((n*n**8*n)\/n)\/n*n\/n**(-1\/4)))**34 assuming n is positive.\nAnswer: n**(-391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004074512 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11694 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 5*i**2 + 4*i + 23. Give r(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of -111*c**4\/4 - 29*c + 2. Differentiate p(n) with respect to n.\nAnswer: -333*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 1. Let c be o(-2). Find the third derivative of 2*r**6 + 3*r**3 - r**2 + 2*r**6 - 3*r**c wrt r.\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 673, 1390, 2003, 2512, 2917?\nAnswer: 3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3718 divided by 2211\nAnswer: 338\/201","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Express 6 - q - 2*q**2 - 2*q**3 - 8 - 4*q**2 + 5*q**2 as v*q + j*q**2 + n + y*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 6*g**2 - 6*g + 4. Let i(n) = n**2 + n - 1. Let h be i(-3). Let w be p(h). Let c be (-1)\/1*w\/(-1). Is -1\/2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13494, 13851, 14418, 15195, 16182?\nAnswer: 17379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2088426943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/30 and -169\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 200 (base 12) to base 5\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 - 0. Let o = 2477.1 + -2476.6. What is the third smallest value in -3\/2, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/1056 and -91\/160.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83 - 81. What is the nearest to 5 in 3, r, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 2*i**3\/7 + 278*i**2\/7 + 990*i\/7 - 12150\/7 = 0.\nAnswer: -135, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {k: 6, r: 1, t: 2, e: 3, o: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-441)\/63*(-1 + 2). Let o be (-6)\/x*336\/72. What is the nearest to -2\/5 in 3\/5, o, 1, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2. Let q(t) = t + 1. Let u(r) = 18*r + 11. Let s(x) = 3*q(x) - u(x). Let l(m) = 10*m + 5. Let j(a) = 8*l(a) + 5*s(a). What is g(j(n))?\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -1\/4, -1, 124, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 0*r - 6 = 0. Let t = -2 + r. Suppose 5*q - 3*k - 19 - 1 = t, -4*k + 16 = 4*q. Solve -w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 3*n - 13 = 5*s + 39, 5 + 9 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -66811845 divided by 22270615\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 615203 and 5649?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 903621699 to the power of 1\/2, to the nearest integer?\nAnswer: 30060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*r*w + 357*r + 3*w**2 with respect to w.\nAnswer: 15*r + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 28085.37 times 45\nAnswer: 1263841.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + 2*u - u**2 + (3 - 4 + 1 + 5)*(-u**2 + u**2 - 2*u**2)*(-1977 - 912 + 1007).\nAnswer: 18819*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*v = 2*a - 6*a + 524, 29*a + 85 = 5*v + 34*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 3)*-4*8\/(-64). Let x(w) = -54*w - 4. Determine x(c).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -3c24d?\nAnswer: -3c24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1342, -10778, -36420, -86380, -168770, -291702?\n\"Answer: -1352*k**3 + 9*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/(-32))\/((-5)\/8). Suppose -202*v - 100 + 293 + 615 = 0. Factor -2*k**2 + 2\/5*k**v - 6\/5*k + 0 - z*k**3.\nAnswer: 2*k*(k - 3)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 312*u**2 + 936*u + 1. Let v be f(-3). Sort v, 0, 8, -5, -4 in ascending order.\nAnswer: -5, -4, 0, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2711199 and 2172.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/(-3) - (-7)\/(22 - 1). What is the greatest common divisor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 1 - 5) + 4 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -365*m**3\/6 + 10*m - 9. Let u(h) = -2*h. Calculate s(u(o)).\nAnswer: 730*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -4*l - 24, -2*v + 6 = -4*l - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 962256 is divided by 1344?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*((-5)\/90)\/(1\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5600 times -169?\nAnswer: -946400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 112008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-10)*(-50)\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.931 - 3.099. Let i = x + 0.03. Let t = -1 + 0.7. Which is the nearest to 1?  (a) i  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -66*a - 408. Determine u(-19).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/(2 + -1) + 2. Let r(x) = -4179 - 4174 + 8352. Let u(k) = -k - 8. Determine a*r(n) - 2*u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -p**5\/240 + p**4\/48 + p**3\/8 - 5*p**2 - 9. Let f(a) be the second derivative of r(a). Suppose f(c) = 0. What is c?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 60.6 - 61. Let d = 0.2 - -4.8. Which is the third biggest value?  (a) 4  (b) j  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r - 1. Let s be n(1). Suppose -2*l - s*l + 68 = 0. What is the remainder when 65 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3848 (base 10) in base 15?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15.16 + 6.715. What is x rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192535969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -40622 (base 12) in base 9?\nAnswer: -136888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 579676907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 12*o - 43. Calculate y(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 33*y - 11 = -25*y, -5*a + 5*y - 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 13*l**2 + 16*l - 79. What is the tens digit of u(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 (base 12) to base 11\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 34, 63, 100, 145?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24 + 4 + 1)*(-2*u**3 + 0*u + 0*u).\nAnswer: 38*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -14*(-4)\/(-24)*-3. Suppose a*j - 3 - 18 = 0. Solve 2*k - j = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1516485 by -19.\nAnswer: -79815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/110 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2301, 2315, 2329, 2343, 2357, 2371?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 8, -2, 2 in increasing order.\nAnswer: -2, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -20.49 times -486605\nAnswer: 9970536.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/756 and -70\/27?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*m - 4*h, -7 = -4*h - 27. Let w be (-10)\/4 + (-2)\/m. Let g = 4 - w. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -6*g - 11. Is 6 a factor of (13 - 0) + 1 + (-20)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**2\/3 + 12603908*x + 37811726\/3 = 0.\nAnswer: -1, 18905863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.01, -2\/23, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -db1e (base 15) to base 3\nAnswer: -2100121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-74))\/(-3) + 17342\/(-481) + 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*i - 315*i - 281*i + 314*i - 678*i.\nAnswer: -1103*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 - -29. Suppose 3*p = f*p. Solve -s + 1 - 4 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -3*h + 26, -3*h = -z + 2*z - 2. Suppose -h*b + 43 = 3*w + 4, 4*w - 56 = -4*b. Solve -2*q + 7*q + 13 = -y, -q = 3*y + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.3 or -4413173?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1)*q)**(14\/9))**(2\/21)\/(q**(-2)*q**(-3)\/q)**(-33) assuming q is positive.\nAnswer: q**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*i**2 + 23*i**3 - 97*i**2 - 118*i**2 + 410*i**2 - 99*i**2.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 30 = -r. Suppose -2*p + r = 3*p. What is the units digit of 1 - (1 - (p + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11539.\nAnswer: 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -468845\/41451 - -462\/41. Calculate the common denominator of 83\/48 and k.\nAnswer: 16176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - j + 953 - 1154.\nAnswer: -4*j - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 306154249 to the power of 1\/2, to the nearest integer?\nAnswer: 17497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 - -123\/5. What is the nearest to 2.4 in -3, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31cacc (base 13) in base 3?\nAnswer: -2012110211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/2652 and -41\/11628?\nAnswer: 151164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/81)\/(((-2)\/(-12))\/(123\/615)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-15)\/10)\/((-1)\/2). Suppose 0*a - 936 = -3*v - 4*a, -u*a - 936 = -3*v. Let t = -163 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -7. Suppose 5 = -y - 5*a, 2*a = -h*y + 3 - 5. Let j(s) = -7*s - s**3 + 6 + 5*s + s**2 + s + 0. Determine j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22932, 40147, 57364, 74583, 91804, 109027, 126252?\nAnswer: 143479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -638, -2625, -5954, -10619, -16614?\nAnswer: -23933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101001100010 + 1?\nAnswer: 1101001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - t - 3. Suppose -3*m + m + 2*s = -4, 4*s = 4. What is the smallest common multiple of h(-2) and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-27 + 35)\/(2 - 0). Suppose -2*w = -4*x - 11 - 57, 0 = -w + k*x + 32. What is the smallest common multiple of 54 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38 + 28. Let q be (r + 9)*(0 + -9). Let c(z) = -z**2 + 9*z + 11. List the prime factors of c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4738529311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p + 1. Let w be y(5). Let c be 85\/(-255) - 38\/(-9)*18\/12. Calculate the greatest common factor of w and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -4, 17, 1.9, 1, -2, -15?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -67030 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 3. Give b(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2674786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 8. Suppose b*l + 31 = 3*k, 1 = 2*l - 1. Calculate the smallest common multiple of k and 1656\/(-36)*(1 + -2).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 38\/17?\nAnswer: 38\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 26 = -5*w, 71*r + 8414 = -w + 7560 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000310869612 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 7*s**2 + s + 9. Let z be i(-7). Is (39\/6 - z)*2382\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3444 and 902.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*f**2 - 18*f**2 + 5*f**2)*(f**3 + 0*f**3 - 3*f**3).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -177350, -354775, -532196, -709613, -887026?\n\"Answer: 2*w**2 - 177431*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*q + 0 + 52*q + 0 as o*q + v and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 430932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2175463, -2175473, -2175489, -2175511, -2175539, -2175573, -2175613?\n\"Answer: -3*x**2 - x - 2175459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 252.43 - 257.43. Let r = -2 - -2.15. Let u = r - -0.05. Which is the third biggest value?  (a) -2  (b) 0.5  (c) y  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 624779 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -1\/2, -5, 3, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 269 and -0.4?\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbfmwbffffbbfmff. Give prob of picking 1 w, 1 f, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5248776 is divided by 483?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 355777189 not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46001 = 2*q + c, -q + 4*c + 6769 - 29765 = 0. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*i - 11*i + 22*i)*(4*i - 3*i**2 + i**2 + 0*i**2).\nAnswer: -38*i**3 + 76*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 975 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96216468 - 2*f - 96216468.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/18138 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + v + 10, 0*f - 3*f = 2*v - 5. Factor z**2 - 4*z**2 - 2*z**4 + f*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 448.7 + 20.3. Let k = z + -469.000406. What is k rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -4\/7, -1\/58, 32\/7, -1\/7 in decreasing order.\nAnswer: 32\/7, -1\/58, -1\/7, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1245260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44 - (-1946490)\/44240)*-16?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -15. Suppose 0*z - 4*l - 103 = -f*z, -82 = -2*z - 4*l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33 and 2799609681.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 11*q**2 + 22*q - 135. Does 9 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -386625, -386626, -386627, -386628?\n\"Answer: -j - 386624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 124*m**4 - 38*m**2 - 2*m.\nAnswer: 2976*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/4))**(8\/11)\/(s**(-2))**47*(s*s**(1\/5)*s)**(-40)*s\/s**(-3)*s**(-1)\/s*s assuming s is positive.\nAnswer: s**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -127\/9 + 943\/63. Is m at least -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 40, -81 in decreasing order.\nAnswer: 40, 3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011031 (base 4) to base 8.\nAnswer: 10515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/(-4) - 3046932\/474600.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 238, 508, 778, 1048, 1318, 1588?\nAnswer: 1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2502*m**5 - 5*m - 26?\nAnswer: -50040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 34351 + -4?\nAnswer: 3434b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -11 + -99?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqjtjjtjjjrkjt. Give prob of sequence jj.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 620 and 2646532?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293827 is divided by 298?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = z + 1, z + 5 = -2*c + c. Suppose 0 = 17*y - 13*y + 4. Sort c, y, -3 in descending order.\nAnswer: y, c, -3","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: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -1  (c) -5  (d) -314  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*j = 94 - 355 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1157 + l + 1157 + (l + 3 - 3)*(-20 - 6 + 6 + (4 - 2 - 4)*(-5 + 4 + 3)) + 5*l + 3 - 3 as t*l + x and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -10 + 4. Let b be 0*(x - 5)\/(-4). Solve 0 = 5*a + 10, b = 5*i + 3*a - 2*a + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*g = 44*g - 612. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -1.9, 3248, -57 in decreasing order.\nAnswer: 3248, -0.06, -1.9, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, u: 1, g: 1, c: 1, o: 7, e: 5}. What is prob of picking 1 o and 1 e?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b - 8*b - 113*b**2 - 80*b**2 + 182*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44636?\nAnswer: 2, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 18 + 25 + 8*o as n + f*o and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 27, 0.3, -40, 0, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(1694) + ((sqrt(1694) - sqrt(1694)*4) + sqrt(1694) + sqrt(1694))*5))\/((sqrt(1008)*3 + sqrt(1008))*-6*1))**2.\nAnswer: 3025\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 divided by 1071?\nAnswer: 89\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -113, -44, -4, 24, -3 in increasing order.\nAnswer: -113, -44, -5, -4, -3, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 79.2?\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5857 - -17006. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2439)\/(-19) - (929162\/3211 + -290)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2070, -4139, -6208?\n\"Answer: -2069*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -9*s**2 - 24045*s - 16026 = 0.\nAnswer: -2671, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 3. Suppose d*p - 7 + 1 = 0. Suppose 3*l = -u + 4, 3*u = p*l + 6*u + 6. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -324*h**2. Let u(n) = 111*n**2 - 350*n**2 + 119*n**2 + 111*n**2. Calculate u(x(a)).\nAnswer: -944784*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57 - 203 - 7*m + 85 + 61.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 93 + 3. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.51 + -32.51. Let b = -0.1 - -2.1. Let j be (-12)\/4 - (-34)\/10. What is the second smallest value in l, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 125\/4, 10, -0.1?\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 10 = -0*p. Suppose 0 = 157*l - 159*l + 5*g + 33, 2*g = 5*l - 114. Find the common denominator of 39\/28 and ((10\/l)\/p)\/(64\/(-144)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8724168 by 363507.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.208 and 31213.9.\nAnswer: 6492.4912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/26)\/(2*(-15)\/16))\/((-1024)\/12800)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 546842 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((6 - 7)*1)\/(2 + -3). Which is smaller: l or 7\/3667?\nAnswer: 7\/3667","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4*x - 10 - 314 = 0, -2*x - 6 = 0. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 655\/15 - 4*1\/(-3). What is the greatest common factor of 405 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from mmmmmlmllmmmmmmm.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - j**2 + 4 + 3*j**2 - 2*j**2 - 3*j**2 + ((11 + 4 + 0)*(0*j - 4*j + 2*j) - 1 + 2*j + 1)*(-3*j + 45*j + 21*j) as g*j**2 + a*j + m and give g.\nAnswer: -1767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times 325?\nAnswer: -3900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 - -12. Suppose 3*i = 4*n + 491, 3*i - 425 = -2*n + l. Let v = i + -82. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-6) + (-266)\/28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a. Let o = 10 + -5. Let m be s(o). Let v(x) = 2*x - 4 + x**2 + x + x. Determine v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(228)*4 - -6*(sqrt(228) + 2*sqrt(228)))*-6)\/((sqrt(96)\/sqrt(200) + sqrt(192) + (sqrt(192) - -1*sqrt(192)))*4))**2.\nAnswer: 209475\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-10 - -7) - -89 - (56 - 43)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93e (base 15) to base 4.\nAnswer: 200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 11*d + 251. Let x be 1\/3*8\/(d\/6). What is the nearest to -2 in -5, x, 2\/19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*b + 60 = 37*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (14*(-18)\/336)\/(12\/(-78)*3)\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7303 and 175674?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 + 9. Suppose 0 = 4*l - 4*i - 0*i - 144, x*l = i + 73. What is the second derivative of -5*q**5 - q + 37 - l wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8*(39\/12 + -3). Solve -c*g = -0*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 498 - 503. Sort 1\/8, -2\/13, i in descending order.\nAnswer: 1\/8, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16228 is divided by 8018.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 7 = -4*x - 0, 5*x = 4*u - 8. Let m be 92\/(-6) + (-1)\/u. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3 + sqrt(1700) + sqrt(1700) - sqrt(1700))**2.\nAnswer: -60*sqrt(17) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + d = -10, 0 = 4*r - r - d - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 144*g + 201. What is r(73)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -615 + 615. Suppose j = -27*y + 191 + 214. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n**3 + 42*n**2 - 92*n - 587. What is q(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2373.99 - -2374. What is the nearest to n in 6, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + (-14 + 48 - 23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -38*s**2 - 4*s + 3*s - s + 39*s**2 - 3. Let n be i(3). Solve n = 5*h - 2*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 118 + -115. Put n, 64, -2 in decreasing order.\nAnswer: 64, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -1) + 12 + (2 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5 = -t, -4*n - 2 = -2*t - 2*n. Which is the nearest to 0?  (a) -2\/7  (b) t  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16090732 divided by -47.\nAnswer: -342356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/6)\/(k*k**(-2\/5)))\/(k**(2\/5)\/k*k**1)*(k**(-1\/4)\/k**(-5))**(-15) assuming k is positive.\nAnswer: k**(-865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -54*s - 25387. Let h(m) = -m. Give p(h(b)).\nAnswer: 54*b - 25387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2)*(5*t - 3*t + 0*t) - 706923 + 706923 - 1109*t to g*t + d and give g.\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -320 in -666, -0.1, 379, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 83.948 - -0.052. Let c = 1849.500963 + -1933.50092. Let h = c + k. Round h to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-73 - (13 - ((-43 - -46) + (8 - -2)))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 8  (b) 3\/11  (c) 0.5  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.38?  (a) -0.5  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 515048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from {s: 9, y: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - (6\/2 + -3). Suppose t*j = 5*u - 0*u + 4, 12 = 3*j + 3*u. Find the second derivative of -h - j*h**4 + 4*h - h - 5*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 123436\nAnswer: 123436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 592*h**3 + 128*h + 600*h**3 - h**4 - 1195*h**3 wrt h.\nAnswer: -12*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, 2\/7, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2169.754 rounded to the nearest 10?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0*-13517898\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 966 and 27922.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r - 1. Let s(c) = 6*c - 2. Let l(v) = -4*h(v) + s(v). Does 7 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/10)\/(40\/(-100)). Let d(v) = 7*v**3 - 2*v**2 - 4. Let g(k) = 23*k - 43*k - 6*k**3 + 3 + 20*k + 2*k**2. What is w*g(z) + 5*d(z)?\nAnswer: -z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 41 + 39 = 0. Calculate the remainder when 1378\/8 - (-5)\/x is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1011010010001 (base 2) to base 6\nAnswer: 42425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/14 and 119\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13*2\/143 + 28486\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -93272 or -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -18*r + 98. Let q(g) = -2*g. Determine q(d(m)).\nAnswer: 36*m - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n = 1579 + 3349. Let a be (n\/12 + 4)*3 + 0. Let u = a + -47. What is the remainder when u is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 120\/(-35)*(-28)\/8. Suppose -213 = -3*h - 2*u + u, 0 = u + 3. What is the highest common factor of h and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**7\/s)\/s)\/s)\/s)\/s**(-16\/3) assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1110, -1098, -1086, -1074, -1062?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4708556 rounded to the nearest 10000?\nAnswer: -4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 3*r**2 - r + 2. Let z = 7 + -13. Let j be 4\/z - 77\/(-21). Give k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**7\/3780 - h**6\/540 - h**5\/60 - h**4\/24 - h**2. Let w(q) be the second derivative of f(q). Factor w(g).\nAnswer: 2*(g - 3)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 = -5. Suppose -21*n + 17*n + 8 = 0. Suppose -3*o = m*r - 81, n*r - 43 = -0*r - o. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 + 5*p**2 - 4112*p - 12377. Determine b(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 26490000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**3 + 19*s**2 - 11*s + 20. Let u be v(9). Let c(m) = 7*m**2 - 6*m - 1. Calculate the remainder when c(u) is divided by 11 - (-1 + 1 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 5*g**2 - 2*g - 4. Calculate q(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324 is divided by 102?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13875\/(-250)*((-12)\/(-9))\/2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 11:45 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/((-9)\/102))\/((-6)\/117). Let s be (6\/(-16))\/3 + t\/(-104). Solve 0 = -s*c - 0*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**2 + 28*r. Let b be m(-14). Let h(p) = p**3 - 4*p**2 + 689. List the prime factors of h(b).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(3\/4)*z)**(-18\/5)\/((z*z**(18\/11))\/(z**(-6\/7)*z)))**(-2) assuming z is positive.\nAnswer: z**(6771\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -38603 (base 15) in base 6?\nAnswer: -3510220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiixcilxiu. Give prob of picking 1 x and 1 c.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0721 - -4.0721. What is the smallest value in 0.019, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Suppose 5 + 4 = 3*p. What is the least common multiple of -1 + 2\/g*p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 75 + -79. What is the remainder when 84 is divided by (o - (-10)\/5)\/(2\/(-29))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62706670569*j**2 - 1001652*j - 4 = 0.\nAnswer: -2\/250413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5118 (base 11) in base 13?\nAnswer: -3129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100111010011010 (base 2) to base 7.\nAnswer: 112444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000148947504 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 3. Let z be c(0). Let h be z\/(-1 - (-3)\/2). Let b = -4592 + 4589. Sort -4, h, b.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12078, -24174, -36274, -48378, -60486?\nAnswer: -72598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/8 - ((-29)\/2 - -3). Let j(b) = -15*b - 2. Let g(i) = 91*i + 13. Determine t*j(m) + 2*g(m).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 1 + -5 + 1 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2523 is divided by 711.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -476, -2281, 2, -5 in ascending order.\nAnswer: -2281, -476, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5571*g**2*l - 53*g**2*t + 3*g**2 - 358145*g*l*t + 10*g*l + 2*g - 2*l wrt t.\nAnswer: -53*g**2 - 358145*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1267594016 by -6094202.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**2. Let z(d) = -6*d - 86*d**2 + 4*d + 83*d**2. Let t(g) = -g**2 - g. Let r(n) = -6*t(n) + 3*z(n). What is v(r(c))?\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71963*j*z**4 - 9*j*z**2 + 8*j*z - 10*j + 30*z**4 - 5*z**3 + 4*z**2 - z + 4 wrt z.\nAnswer: -1727112*j*z + 720*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28711?\nAnswer: 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -63 - -99. Let o be (48\/(-6))\/(1\/5). Let b = v + o. Sort b, -5, 19 in descending order.\nAnswer: 19, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8.636 * 280\nAnswer: 2418.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (15 + 25)\/(-10) + 68\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 226426 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -3\/2, -4\/7, -4.4, -5 in descending order.\nAnswer: 0.4, -4\/7, -3\/2, -4.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-14 + (-14 - -20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -826818.262 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 135 = -758*i + 731*i, -3*g - 20 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 585\/8 - 220\/3. What is the common denominator of 181\/30 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53774 and 28336.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(70) + -6*-3*sqrt(70))\/sqrt(10)*-3 + -3))**2.\nAnswer: 12312*sqrt(7) + 819072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 9*p. Let w be j(9). Suppose w = -0*u - 4*u. Solve -q - 20 = 5*y, u = 4*q - 0*q + 4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 8  (b) -91\/5  (c) 5  (d) -17  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 99421, 99444, 99467?\n\"Answer: 23*o + 99398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5 - 13*t**4 + 54*t**3 - 94*t**2 + 73*t - 21.\nAnswer: (t - 7)*(t - 3)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**2 + 3*p + 73. Let n be s(8). Let r = 69 - n. What is the remainder when r is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 8460.016?\nAnswer: -42300.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/8 - 144\/(-46). Let s = n + -3\/23. Factor 1 - s*r + 2*r**2 - 1\/2*r**3.\nAnswer: -(r - 2)*(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + (4 + sqrt(11) + 4 - sqrt(11))**2).\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*j - 1. Suppose -33 = 4*w - 5*l, -3*w + 0*l + 19 = 5*l. Put j, 3, w in descending order.\nAnswer: 3, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 53 = 7. Let g = -153\/1330 - -2\/133. What is the common denominator of (-1)\/(1 - q\/(-12)) and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 - 12*z**3 + 8*z**2 + 48*z.\nAnswer: -2*z*(z - 2)*(z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 1435172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2 + (-21)\/54)*(268 + -259)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-75)*(-20)\/(-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zvyzzfu. What is prob of sequence vzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -17 - (2 + -7) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 461 + -470. Let d(k) = -2*k - 10. Determine d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-9) - 957\/(-3834). Let x = i + 2\/71. Let f = -592\/3 + 197. Sort x, f, 0.2.\nAnswer: f, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l + 23. Determine b(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i - 4. Let r be ((-171)\/19)\/(-1 - 0). Let o be t(r). Solve 0 = 3*b - o - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -21*i - 1. Let o(b) = 91 + 2*b - 153 + 62. Give a(o(r)).\nAnswer: -42*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**4 + 3*h**4 - 6*h**4 + (0*h - 2*h + 3*h)*(6*h**3 + 0*h**3 - 5*h**3) + 0*h**3 - 2*h**4 + 0*h**3.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-81216998.\nAnswer: 324867992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 77*z**2 + 220*z - 10958. Determine p(76).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**6\/120 + 11*q**5\/60 + q**4\/24 + 7*q**3\/3 - 3*q**2. Let t be k(-11). Is 22 a factor of t*((-176)\/(-6))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**2 - d**2 - 3*d**2 - d**2 - d**2 - d**2 - 2*d**2 - 4*d + 4*d + 4*d**2 - 6*d**2 + 0*d**2 + (2*d**2 - 4*d**2 + 0*d**2)*(2 + 3 - 3).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9370 = 1066*z - 38600 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c - 4*c**2 - 8 + 6*c + 7*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q**3 + 32*q**2 + 18*q + 61. What is t(11)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + 0)\/(2\/314). Suppose 4*z - m - 837 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 1:46 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**2 + 3*f**2 + 45 + f**2 - f**2 + 0*f**2 + 115*f**4 wrt f.\nAnswer: 2760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 846504 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: 38 * -0.4\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.99 - 2.59. Sort 0.9, 1, j in increasing order.\nAnswer: j, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 69 = 3*b - 15, 0 = 3*b + 9. Suppose 5*s - 12*d - 2014 = -g*d, 0 = -3*d + 6. What are the prime factors of s?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 609 = 10799*b - 10770*b. Let i(n) = 5*n - 67. Determine i(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - h + h + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + d**2 - 1. Let w(y) = -9*y**2 + y. Let t be w(1). Let k = t + 7. Let v(r) = -5*r**2 + 3*r + 5 + 6*r**3 - 3*r. Determine k*v(l) - 5*j(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z - 16. Give o(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -183*a**2 - 55*a**2 + 4*a + 221*a**2 + 676*a**2 + 315*a**2 as r + y*a + w*a**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 6 = 0, 4*v + k - 42 = -2*k. Let w be (15\/v)\/(3\/12). Suppose w*a + 125 = 5*l, 5*l + 3*a = -a + 152. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 less than 0.0382?\nAnswer: -385.9618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 6*z**2 - 2*z + 8. Let p be o(6). Let y be (28*5\/25)\/(28\/1750). Suppose y*n = 356*n + 6. Put -2, -5, n, p in increasing order.\nAnswer: -5, p, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 8 = -r, 2*r + h = -0*h - 1. Which is the biggest value?  (a) -2  (b) 0.9  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17019583?\nAnswer: 7, 223, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10062393 by -3.\nAnswer: -3354131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 14*z + 13. Let x be k(14). Suppose -105 = -x*h + 10*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 1:02 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -312*y - 233*y - 1 - 174*y + 539*y.\nAnswer: -180*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-663)\/6*23\/((-5474)\/56)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by -1418.\nAnswer: 19\/1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -0.4, 2, -8\/5, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -561 divided by -187?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/5 - (-117)\/195.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 5. Let q(m) = -2*m**2 - m - 2. Let g(n) = 2735 + n**2 + 3364 - 6099. Give d*g(a) + q(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -z**6\/120 - z**5\/10 - z**4\/12 + z**3\/3 - 12*z**2. Calculate o(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 11.7. Let o = -6 + 6.3. Which is the second smallest value?  (a) 1  (b) i  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*j - 12. Let r(a) be the first derivative of -a**3\/3 - 5*a**2\/2 - 2*a - 1. Let w be r(-3). Solve -2*l = -w*l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 4 - 4)*(-3 + 1 - 4)*(-1 + 2 + 0).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -50ba4?\nAnswer: 50ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 3 + 2)*(3 - 2 + 0) - 5 + 2 + 2)*(1 + 2 - 18*u + 19*u) to m + k*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r**3 + 353*r**2 - 5*r - 45 wrt r.\nAnswer: 18*r + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9378.4, -5\/3, 11.\nAnswer: -9378.4, -5\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 12:47 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t + 24. Let p be k(0). Let r be (-4170)\/(-63)*98\/p. Let c = r - 265. Find the common denominator of -65\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 - -19. Let o be (-52)\/(-10) + g\/5. Suppose 34 = -5*x + o*h + 764, 2*h - 2 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = -6 + 26, -270*o - 124*o = -4*k - 90*o + 1240 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 - 1. Let m = d - 0. Let o = -3 - -3. Which is the third smallest value?  (a) -4  (b) o  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3\/4  (b) -104\/177  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4920 and 113160.\nAnswer: 113160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1402 - 418. Suppose -6*b = 78 + s. Let j = b + 328. List the prime factors of j.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 2*(-1)\/1*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4409804*z**6 + 13517*z**2 + 88?\nAnswer: 529176480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(228)\/sqrt(4))\/(-2*sqrt(3)*-5).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, e: 1, s: 1, u: 5, p: 2, j: 8}. What is prob of sequence puj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 0*n = 85. Let q = -11 - n. Let m(o) = o**3 - 6*o**2 + 4. What is m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 60816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/990 and -41\/242?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111 + -114 - (12 + -2 - (1 + 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -468141, -946959, -1425779, -1904601, -2383425?\n\"Answer: -c**2 - 478815*c + 10675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 0.1  (b) 5  (c) -10780\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*q - 648 = -18*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (30 + (0 - -1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 21*z - 20*z. Calculate the lowest common multiple of z and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of x**4\/2 + 4*x**3\/3 - 22. Factor h(v).\nAnswer: 2*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-4)\/18)\/(10\/(-65)) and 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 462?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -7*v**2 - 2*v - 9. Give r(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 32440559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-1))\/(-70 + 58).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/((f\/f**5)\/f*f))\/f**3)\/(f**(-3\/5)*f**(-5)))\/(f*f**7*f*f\/f**(-1\/4))**32 assuming f is positive.\nAnswer: f**(-1602\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5886466238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.07, 3, -583?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - y = -10*o + 1108, o = -2*y + 215. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from rrkcreeerercrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/((-665)\/30))\/(819\/67431).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**5\/60 - z**4\/8 + z**3\/6 - 43*z**2. Determine a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -4*f**3 + 1444*f**2 + 16*f - 5776 = 0?\nAnswer: -2, 2, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 2, -3*s - 2*b - 106 = 2*b. Let f = s + 38. What is the derivative of 7*v**f - 6*v**4 + 4 - 8*v**4 - 16*v**4 wrt v?\nAnswer: -92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.95526 plus 2?\nAnswer: -11.95526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308490 = -214*t + 101*t. Solve 0 = -4*g + t - 2702 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -11*z**8\/168 + z**5\/10 - 5*z**4\/8 - 7*z**3\/6 - 148*z**2. What is the second derivative of o(u) wrt u?\nAnswer: -440*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 + 20*u + 6. Suppose 0 = -5*s + 33 - 3. Calculate the smallest common multiple of s and c(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.15 or -211\/394?\nAnswer: -211\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 998 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/24 and 87\/796?\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cbbcblcclk. Give prob of sequence bccb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*n - 435143 = -127137. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) - sqrt(133)\/sqrt(7)*5 - (sqrt(19) - ((sqrt(38)\/sqrt(2))**2 + sqrt(19))*-3) - (3 + 5*(sqrt(19) + 0) + sqrt(19) + -2)**2.\nAnswer: -742 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -14  (b) 2\/5  (c) -1\/9  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -10*u. Let i(s) = 57*s**2 - 932376. Calculate r(i(q)).\nAnswer: -570*q**2 + 9323760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 11. Let j = -1 - x. What is the common denominator of ((-2)\/j)\/(1\/(-88)) and 19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/1*2\/(-5). Suppose 3*d - 190 = -5*c - 10, -x*d - 144 = -4*c. Calculate the smallest common multiple of 8 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-12)*-3)\/((-2)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 776605*a**2*y**3 - 4715413*a**2*y - a*y**5 wrt y?\nAnswer: 4659630*a**2*y - 20*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1629900346?\nAnswer: 2, 73, 199, 56099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 8 = -4*n, 0 = 2*n - 1 + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 7*h - 7. Let m be (45\/(-27))\/((-2)\/12) + -4. Let w(x) = -x**2 - 6*x + 6. Calculate m*w(b) + 5*z(b).\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -99211249*i**3*y - 46*i**2*y + 9*i**2 - 16566*i*y wrt i.\nAnswer: -595267494*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/41 and -51\/38.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d = 4*w + 10*d, -5*w - d + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3287?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 90302979 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -47*x + 48 - 30*x**3 - 2*x**4 - 41*x + 5*x**4 + 99*x**2 - 32*x = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.9 - 15.9. Let q = x + 14.9965. Round q to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4*p**2 - 12*p. Let d(y) = -3*y**2 + 12*y. Let x be ((-8)\/(-5))\/(-18 + 968\/55). Determine x*b(i) - 5*d(i).\nAnswer: -i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 631727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -43.9  (c) -18041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 3*i. Let r(s) = s**2 - s - 12. Let o be r(i). Let q = o - -26. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/(-66)*(-18)\/4 + 1. Put 2\/2349, h, 4 in decreasing order.\nAnswer: 4, h, 2\/2349","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 296512.5m to kilometers.\nAnswer: 296.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.95 in 1, 0.1, 0.8, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*f**2*j**2 + 48*f**2*j*o - 2150*f**2*o - 19140*f*j**2*o - 3*f*j**2 + f*j*o - 7*j**2*o wrt f?\nAnswer: -16*j**2 + 96*j*o - 4300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 1\/6, 8, -7, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 35. Suppose -5*i + 3 - t = 0. Let s be (-24)\/i + -3 + 0. Solve -3*l + 2 = -s*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-5)\/(-10)*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*o - 3*u, 0 = -2*o - o + 2*u + 1. Calculate the least common multiple of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 260\/(-78)*12\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-488)\/183*-9*1\/44\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 + (2 + 3 - -9) - -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-104 + 8)*(1 - (-10)\/(-6)). Let f = -54 + p. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/3*7 + -1. Let y(b) = b + 9. Let k be y(-2). Let t be ((-6)\/k)\/(-6) + 6\/7. Is t greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - -4. Suppose 0*z = 3*z - j. Let k(l) = l**2 + 3*l + 13. Let m(c) = c + 4. Calculate z*m(s) - 2*k(s).\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 166.3 - 19.3. Let x = t + -148.26. Let v = -0.14 + x. Round v to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9005, -17984, -26953, -35912, -44861, -53800?\n\"Answer: 5*j**2 - 8994*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88977?\nAnswer: 3, 7, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (22 - (-1128)\/(-32)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56576929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 - 2186*j**2 + 591822*j + 3014010.\nAnswer: 2*(j - 549)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14.3*12\nAnswer: 171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*h**4 + 3*h**2 - 3*h**2 + (3*h**2 - 2*h**2 + 3*h**2)*(1 - 1 + 4*h**2).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*v + 3473 = 2823 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 + 20. Let k(q) be the second derivative of z*q**2 + 1\/6*q**3 + 0 + q. Let p(y) = y**2. Calculate k(p(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -2*b - 1. Let y be g(2). Let u(k) = -3*k - 1. Let n(x) be the third derivative of -x**4\/12 - x**3\/6 + x**2. Calculate y*n(o) + 4*u(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 7. Let w(j) = 6*j + 8. Suppose 3 = 13*r + 55. Let g(t) = 2*t + 3. Let i(o) = r*w(o) + 11*g(o). Calculate i(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*(l*l**(-9))\/l))\/(l**(1\/7)\/l) assuming l is positive.\nAnswer: l**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.5 - 2.6. What is the closest to g in 0.4, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/(-3))\/((-2)\/6). Suppose -12 = -x*o + 18. Suppose -l + o*l = 215. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1278 - 546?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 5.01. Let q = r + 0.41. Let f be (-6)\/(-36)*(1 - -9). Which is the nearest to 0?  (a) f  (b) q  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -139728 divided by -6\nAnswer: 23288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + x - 3*x + 1 - 4*x**2 - 13*x**2 - 34*x**2 + 14*x**2 + (-5*x + 3*x + 5*x)*(-35*x + 83 - 83) to the form l*x**2 + t + q*x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**(-7)*q*(q*q**(3\/4)*q*q)\/q)**(-35)*(q*q*q\/q**(-2\/11)*q**(1\/5))\/(q*q*(q\/(q\/(q\/(q*q**(-2\/7)*q))))\/q)**28 assuming q is positive.\nAnswer: q**(8609\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 times -73.358552\nAnswer: 5.86868416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-2\/9))**(-5\/11))**44 assuming u is positive.\nAnswer: u**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*a**2 + 4*a - 1 - 3*a - a.\nAnswer: -11*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 7*z + 9. Let s be p(16). Let m = 801 - s. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-6)*o**(13\/2)*(o*o**(-2)\/o*o)**(-5\/13) assuming o is positive.\nAnswer: o**(23\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 6.3. Let n = 4.1 - p. What is the fourth smallest value in n, -4\/5, -2\/19, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19050 is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/4))**12\/(r\/(r**(2\/9)\/r)*r*r**(-4)*r) assuming r is positive.\nAnswer: r**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*2\/69 + (-21507)\/(-7383). Solve -s*m + 16 = -2*b, 6*b - b - 5*m = -30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -30, -28, -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvqiiiiviqiiqvi. What is prob of picking 1 i, 1 q, and 1 v?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1193 (base 13) to base 10\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200\/35 - 5 - 2\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-177)\/(-7) + (-12)\/42. Suppose 6*k - n = k. Let s = k - 5. What is s rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 2. Suppose 2*g - 3*g = 4*q - 96, -422 = -4*g + 3*q. Suppose 0 = -i + 14*i - g. Let w be 3\/i*2 - (-6)\/(-8). Give r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-11)\/(-10))\/(39\/2340*-12)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 5*n - 1. Let s be z(1). Let q(k) = -2*k + 4. Let y be q(s). Is -5 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 greater than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 130 and 30890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0039101 rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of 0*q**4 - 77\/30*q**6 + 0 - 6*q**2 + 94*q + 0*q**5 - 1\/6*q**3. What is the second derivative of k(j) wrt j?\nAnswer: -924*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-24)\/(8\/(-2)) - (-10)\/(-2). Let x be (2\/6)\/(2\/12). Let j be (-6)\/(-8) + (-1)\/x. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3468129 to the power of 1\/2, to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 37\/1541 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1064\/72*-3)\/(2\/(-6)). Let c = l + -90. Calculate the greatest common divisor of c and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -16*u**3 - 11*u**2 + 6*u + 71. Let i(g) = 31*g**3 + 24*g**2 - 13*g - 146. Calculate -13*c(v) - 6*i(v).\nAnswer: 22*v**3 - v**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 4*n**7\/105 - n**5\/30 - 9*n**4\/4 + 3*n**2 - n. What is the second derivative of a(f) wrt f?\nAnswer: 96*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5 + (3*(0 + sqrt(396)) - (sqrt(396) - (1 + sqrt(396))*1)) + ((sqrt(396) - (sqrt(396) + -1) - sqrt(396)) + -5 - sqrt(396)*1*-2))**2.\nAnswer: -25600 + 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -428, -523, -732, -1115, -1732, -2643, -3908, -5587?\nAnswer: -7740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000704215 to seven dps.\nAnswer: 0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 322*c**2 + 46*c**2.\nAnswer: 368*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2*f + 290 = 0, -5*f = -w - 0*f + 58. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and 3910.2.\nAnswer: -27371.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21\/20 + 1. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595153 is divided by 3628?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**4 + 4*w**3 - 11*w**2 + 6*w = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.50683779 and 94.\nAnswer: 93.49316221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.04 + -0.46. Let j = 0.5 - l. Let k = -0.5 - 1.5. Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1, -1\/10, -2164, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 614154 is divided by 307070.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**2 - 910. Let q(y) = 10*y. Determine q(a(n)).\nAnswer: 20*n**2 - 9100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*7\/((-56)\/656). Let u = 32 - p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (38 + -38)*6*14\/(-84). Let 3*r + 3\/5*r**3 + g - 18\/5*r**2 = 0. What is r?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34834 is divided by 1445.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142 - 142 - 28*t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3559 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((7\/(-56))\/(1\/4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 884*y**2 + 368*y**2 - 395*y**2.\nAnswer: 857*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7665 - 7669. What is the second biggest value in 0, -6\/7, x?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -aa + d?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of t**4 - 20217*t - 80633 wrt t.\nAnswer: 4*t**3 - 20217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-1)\/(-6)*2). Let q = -4 + 3. Let k = 2 - q. Is k > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cxmm. Give prob of picking 2 x and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d - 3 = 0. Let v be (2\/(-3))\/((-5)\/d). Let o be 1 + (1 - 2) - -1. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -2*a + 95 + 95, 4*a = -5*l + 360. Put a, 8, 0 in descending order.\nAnswer: a, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 4:32 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15851021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -10*l**3\/21 - 992*l**2\/7 - 792*l\/7 + 600. Let p(a) = 0. What is a?\nAnswer: -198, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 304 and 15.6.\nAnswer: 4742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 32283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 2 + -4 - (295 - 303). Solve -5*v - 31 = 3*f, 19 = -5*v - k*f - 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 507939\/34 - 14942. Find the common denominator of -87\/14 and g.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 52*x + 240*x + 1367*x + 110717 - 110717 to the form a*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/5, -0.06, 6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, a: 7, x: 12}. What is prob of picking 1 a and 1 z?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, q: 4, k: 5}. Give prob of picking 1 h and 1 q.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 63*d**3 + 34*d**2 + 5*d - 11. Let y(k) = -21*k**3 - 12*k**2 - 2*k + 4. Calculate -4*h(t) - 11*y(t).\nAnswer: -21*t**3 - 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 10:07 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*t + 165 = 0, 4*j + t = -t + 154. What is the third derivative of -j*u**6 + 2*u - 9*u**2 + u**2 - 20*u**6 + 0*u wrt u?\nAnswer: -6720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*b = 20, -2*b + 24 = 5*p - 3*b. Solve p*i = -4*g - 36, -i - 2*i - 3*g = 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 4920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -1\/2, -3.97, 17, -2.2, -4\/3, -1\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4*o + 15 = -3*s, -3*o + s + 15 = 0. Suppose o*f - 969 = 1081. List the prime factors of f.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5891 + 5907. What is the greatest common factor of 1080 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 12 = 0, 144*j - 139*j + 4*m = 49311. What are the prime factors of j?\nAnswer: 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ekkekekkekeke.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*s + 5 + 7, -4*t - s = 3. Suppose t = -2*z + 4*b, -28 = -z + b - 6*b. Solve -z = 2*g - 2*m, m - 3 = 3*g + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 265356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 2*a = -q + 332, -2*q + 166 = 2*a. List the prime factors of a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -1\/4, 0.5, -0.024, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408 a factor of 140380416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 7*o - 2 - 5*o - o. Let k be d(6). Sort 1, -3, k in decreasing order.\nAnswer: k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**4\/2 - 11*x**3\/3 + 4*x**2 - 4*x + 804. What is u(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l**2. Let y(c) be the first derivative of 2*c**3\/3 - 16. What is y(r(n))?\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1141 (base 6) in base 14?\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n + 5. Suppose 4*f + 84 - 96 = 0. Let t(d) = d - 2. What is f*u(c) + 8*t(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of n**4 - 259*n**3 - 2252*n**2 - 2*n wrt n.\nAnswer: 24*n - 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-222)\/24 + 8)\/(85\/(-204)). Solve -59*b - 280 = -j*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 132 = -153. Let t = -1.1 - 3.9. Put t, l, -0.3 in ascending order.\nAnswer: t, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20?  (a) 10\/7  (b) -12  (c) 1  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 19*m - 91. Let r(c) = 40*c - 185. Let a(w) = -14*o(w) + 6*r(w). Let h be a(22). Is h less than -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -150 - -149. What is the closest to -5 in -13, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*h = -462 - 846 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -16*q + 46*q - 13*q - 11*q - 13*q. Let b(p) = -95*p. Determine b(f(g)).\nAnswer: 665*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28791 + 53231 - 33931)*(1 + 3 - 3)*(2*i - 5*i + i) + 5*i - 3*i - i.\nAnswer: 18983*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 8. Let x = m + 43. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)*-1)\/sqrt(2))\/(sqrt(200)*2).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3924 - 5\nAnswer: -3929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4965821 or -64555665\/13?\nAnswer: -4965821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83502 divided by -9.\nAnswer: -9278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 46\/9, 1 in ascending order.\nAnswer: -2\/7, 1, 46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 26*x**2 + 101*x - 279. Give j(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 267\/(-1408) - -3*8\/132. Is w greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, -10, 0.6, 2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -3*o - 4*r + 9, -4*o + 12 = -3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2028 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: Let f be (-266)\/885 - (-2)\/(-5). Let l = -2\/59 - f. Let r = 0.002 - 0.102. Which is the closest to 0.3?  (a) -0.4  (b) r  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21129 is divided by 227.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 24286 (base 9) in base 16?\nAnswer: 3f96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17376, -69507, -156392, -278031, -434424?\n\"Answer: -17377*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -165, -362, -559?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + (sqrt(320) + 0 + sqrt(320) + sqrt(320) + -1 - sqrt(320) - ((1 + sqrt(320) + sqrt(320))**2 - sqrt(320))*-1) + (-4*(1 + sqrt(320)) + 3)**2 + 0).\nAnswer: 312*sqrt(5) + 19206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + d**5\/30 - d**4\/24 + 14*d**2. Factor r(t).\nAnswer: -t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000005112 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 9 + 0*j - 2*j - 2*j + 6*j. Let u be y(-14). Let r = 25 + u. 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: Simplify ((sqrt(21) + (sqrt(21) - sqrt(42)\/(sqrt(16)\/sqrt(8))))\/(sqrt(7) - 4*sqrt(7)*5))**2.\nAnswer: 3\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + 15. Calculate the highest common divisor of 8 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-10) + (-755)\/25. Let z be (2\/(-3))\/(4\/p). Suppose 0 = 2*q - 8 + 4, -z*h = 4*q - 13. Solve h = -f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 8. Suppose 5*k = y + 10, k - 5 = 5*y - g. Suppose 0 = l + 1 - k. Is l less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2430915629?\nAnswer: 17, 151, 946987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 21 and 155 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, q: 6}. Give prob of sequence pp.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 991330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 79449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91422965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ahhahahhha?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -112\/163071?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -78.356579 rounded to 2 decimal places?\nAnswer: -78.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 16*c + 11. Let y be f(0). Let u(i) = 171*i**2 - 176*i**2 + i + i**3 + i + y - 3*i. Determine u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -87 + 95*d - 197*d - 69 + 100*d in the form b*d + n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -2  (b) 4  (c) 5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -23*b. Let q(j) = -1384*j - 1. Determine s(q(c)).\nAnswer: 31832*c + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11195472 and 20525032?\nAnswer: 123150192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 4*o - 26. Let h(u) = -u**3 + 17*u**2 - 23*u + 396. Let f be h(17). Calculate t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4*q. Let v be h(2). Let a be ((-4)\/v)\/((-1)\/(-6)). Suppose a*p - 4*p = -143000. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -867*o = -680*o + 2057 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 12*16\/(-30) + 7\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1118040)\/(-396))\/(-154)*(-12)\/(-25).\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1595)\/(-2552)*((-684)\/(-15))\/3.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 4*s**3 - 8*s**2 - 4*s + 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = 5*y + 4*d, -4*y = -48250*d + 48245*d - 31 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1)*i*i)\/i)\/i*i**0*i*i**(-4)*(((i\/((i**(-1\/4)*i)\/i))\/i)\/i)\/i*i*i)\/(i*((i*i**8)\/i)\/i*i*i**(1\/4))**(-40) assuming i is positive.\nAnswer: i**(1465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2665*d + 654*d - 750*d - 872*d.\nAnswer: -3633*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 4*o - 13. Suppose 2*z = u + 171 - 197, 4*u + 5*z - 117 = 0. What is the remainder when c(12) is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 448497160 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 33. What is the tens digit of (-1203)\/(-12) - i\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -454?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -141, -377, -641, -939, -1277, -1661, -2097, -2591?\n\"Answer: -n**3 - 8*n**2 - 205*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 6*h**2. Let s(o) be the first derivative of o**5\/30 + o**2\/2 + 1. Let c(t) be the second derivative of s(t). Give c(y(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 9. Let w be s\/9 - 2\/6. Suppose 68 + 1 = w*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -5*c**4 - 263805*c**3 + 30388065*c**2 - 826768475*c - 2760920340 = 0?\nAnswer: -52876, -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212.26698us to days.\nAnswer: 0.00000000245679375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 261*q - 247*q + 98 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -490*p**3 - p - 7*p**2 + 489*p**3 - 2*p + 7 - 3*p. Suppose 3*l = l + 4. What is the least common multiple of l and k(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 4, 22, 3\/1109 in increasing order.\nAnswer: -40, 3\/1109, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - j - 24. Let s be a(-10). Suppose 6*q = -38 + s. Suppose -q*l = -35 + 3. Solve g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*y - 15 = -35*y. Let t be (-4)\/72*4 + 299\/9. Suppose 10 = 38*f - t*f. Solve y = f*b - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 18 and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24760, 49520, 74280, 99040?\nAnswer: 123800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3\/5*b**4 + 0 + 21\/5*b**3 + 54\/5*b**2 + 0*b = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + c - 10 = 0, -5 = -4*t - 2*c + 7*c. Let f(j) = -j**3 - 4*j**2 - 2*j. Let m be f(t). Calculate the greatest common factor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 4141.\nAnswer: 16564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -342.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-8) + 10578\/(-656). Is h less than -223\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + -1)\/(2\/(-18)). Sort 0.2, 3, b in descending order.\nAnswer: 3, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 11 = -7*p. Let w be (-4)\/(-8)*(p - -4). Suppose 3*v - 5 = -l + 13, -2*l + v = -w. Put 11, 0, l in descending order.\nAnswer: 11, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*a - 403 = 0, 4*h - 484 = -6*a + 2*a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j - 1. Let q(p) = -2*p**2 + 35*p**3 - 34*p**3 - 5*p**2 - 2*p + 2. Let u(w) = -5*m(w) + q(w). What are the prime factors of u(8)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4870 and 168616932.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t**2 + 19*t - 19. Let d be h(-7). Sort 0, 2, d, 24.\nAnswer: d, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(81)\/sqrt(3).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -291, -741, -1385, -2229, -3279, -4541?\nAnswer: -6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -847679 or -9324461\/11?\nAnswer: -847679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115464 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/7 + 198*b + 237312\/7.\nAnswer: 2*(b + 309)*(b + 384)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-489*c**2 + 157*c**2 - 126*c**2)*(-3*c**2 - 7*c + 3*c**2 - 2*c**2) to the form q + t*c**4 + g*c**3 + d*c**2 + h*c and give t.\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (24\/(4 + 0) + -4)*(3 + -1). Let n(t) = -2*t + 6. Let x(b) = 1. What is w*x(k) + n(k)?\nAnswer: -2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -8433*f**3 + 20*f**2 + 4*f + 5. What is the hundreds digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7586439 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*a*m*u**3 - a*u**3 - a*u**2*w - 6*m*u**3*w - 30*m - 2*u**3 wrt w.\nAnswer: -a*u**2 - 6*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.250812 microseconds to milliseconds.\nAnswer: 0.002250812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*p = -l - 37, -l + 5*p - 40 = 0. Let y be (-6)\/(-1 + -1) - l. Let v = y + -21. Let r(n) = n**2 - 4*n - 10. Give r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c - 7. Let y be k(-6). Let x(f) = -1. Let a(z) be the third derivative of z**4\/24 + z**2. Give y*a(p) + x(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 10278.\nAnswer: 113058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 5*u - 8. Suppose 2*k = 7*k - 10. Suppose -k = 3*b + 10. Let i be o(b). What is the second smallest value in -0.03, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 30383677, 60767335, 91150989, 121534639, 151918285?\n\"Answer: -2*x**2 + 30383664*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -67721*b. Let t(m) = -m**2. Calculate t(f(q)).\nAnswer: -4586133841*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0498 + -0.1498. Which is bigger: l or 5\/301?\nAnswer: 5\/301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6303570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5*t = 0, -3*j + 3*t = 4 - 16. Suppose -i = -4*i - 2*n + 2400008, 0 = -j*i - 2*n + 1600008. What is i rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -546, -1094, -1642, -2190, -2738?\n\"Answer: -548*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 522, 1045, 1568, 2091, 2614?\n\"Answer: 523*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -10011001000011100?\nAnswer: 10011001000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9498683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/6)\/((120\/(-9))\/(-10)) + -39?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 28*y**2 - 46*y**2 + 29*y**2 + 14.\nAnswer: 11*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12340279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from yyyycyyyyyyycycy.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 84423845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((420\/1000)\/7)\/((-63)\/28)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - 0) + 2 - -5. Let w be (2\/q + 3\/9)\/(-1). Let a(y) = 13*y**3 - y**2 - 2*y - 1. Give a(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4420 is divided by 146.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 50\/(-20) + (-17640)\/720\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3071  (b) -0.038  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*w = -591 + 100 - 125 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -923?  (a) 3\/2  (b) -2  (c) -3  (d) 2\/41  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 10 = n, -3*n = -0*z - z - 22. Find the second derivative of i**3 - n*i**5 + 4*i + 3*i**3 - 4*i**3 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0428 - 383.4572. Let q = -427.48 - r. Let m = q - -44. Is m > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**3 + 205*f + 560*f + 3*f**3 - 4*f**3 - 675 - 93*f**2 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28508777 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 6. Let i be d(0). Let o = 16 - i. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103600 greater than 103596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3\/5 + 79122*y**2\/5 + 20396676*y + 6742657560.\nAnswer: 3*(y + 670)**2*(y + 25034)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 712055440 divided by -9013360?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 3*j**2 - 2. Let s be y(-2). Suppose 0 = -2*p - s*p - 20. Which is the smallest value?  (a) 2\/7  (b) p  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (b**3 + b**2 - b**2)*(350 - 928*b - 350) as r*b**2 + p + m*b + n*b**4 + j*b**3 and give n.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -7 + -4 + (-2 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 3, t: 5, w: 1, j: 5, u: 2}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 467 is divided by 7 + 98\/8 + 2\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33*a*i**3 + 2*a*i**2*n**2 - 2*a*i**2 - 10*a*i*n**2 - 2*a*i*n - 105*i**3*n**2 - 2*i wrt i.\nAnswer: -198*a - 630*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/110582977 <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 5*b + 3. Let k be f(-6). Let i be 20 - (3 + k - 2). What are the prime factors of (1\/1)\/2*i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 13989616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**4 + 0*i**2 - i**2 - i**2 + 5*i**4 wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 368 and 372669?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115 greater than or equal to 1115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.3 + 1.7. What is the second smallest value in 0.3, 0, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -323, -13 in decreasing order.\nAnswer: 4, -13, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2770 + 19?\nAnswer: -2753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -53 - -155. Suppose 0 = 107*q - f*q - 20. Suppose -3*b + 204 = -3*k, 0*k - 254 = -q*b - 2*k. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.49264ug in kilograms?\nAnswer: 0.00000005749264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2250645 (base 9) to base 16.\nAnswer: 128768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6522*q**3 - 230*q - 5.\nAnswer: -39132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -800 + -215021171.7\nAnswer: -215021971.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*(u*(u\/u**(2\/5))\/u)\/u*u))**(-5\/12)\/(u\/(u**0\/u))**(15\/7) assuming u is positive.\nAnswer: u**(-113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6 - -10) + 1*-2. Put d, -3, -4, -0.3 in increasing order.\nAnswer: -4, -3, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 520*o + 818. Is w(7) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2081, -2067, -2041, -1997, -1929, -1831?\n\"Answer: s**3 + 7*s - 2089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000041 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**2 - 1899*o - 5380 wrt o.\nAnswer: 6*o - 1899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 0, 206 in descending order.\nAnswer: 206, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlzlrrrzzlrlrzzrz. What is prob of sequence lz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from umuummmmumm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(245))**2*-4 + 5*(sqrt(245) + 5 + sqrt(245) + sqrt(245))**2.\nAnswer: 938*sqrt(5) + 10154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201448 by 338.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 7 + -1 - (229 + -227)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 194 + -197. Let t be (-2 - c)\/1 + -631001. Round t to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggww when four letters picked without replacement from wwhgggghh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/15 - 39\/(-5). Suppose 0*v + 3*v = -15. Let k = s + v. Solve 0 = -w + k*w + 5*u - 20, 0 = w - 4*u + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -21) + (-86 - (22 - 136)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -3, -81 in descending order.\nAnswer: 3, -3, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/75)\/((-21)\/441)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -675\/26 or -25?\nAnswer: -675\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/12768 and 87\/47264?\nAnswer: 2694048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/18 - 6\/9. Put -9, b, 1 in descending order.\nAnswer: 1, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x. Let p be u(-3). Suppose p*h + 5*c = 112, -3*c + 36 = h - 2*c. What is the remainder when h is divided by (1\/(2\/(-4)))\/((-2)\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -5*i + 1. Suppose -1 = -c - 0. Let v be g(c). Let d = 6 - v. What is the highest common factor of d and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1381 + -1380.462. Put -5, -2\/3, g in increasing order.\nAnswer: -5, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8 and 279.59149831.\nAnswer: 271.59149831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31789 + 175 - (0 + (-1 - -8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1420728071 rounded to the nearest 1000000?\nAnswer: 1421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 5153196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-84)\/24 - (-14)\/(-4). Let i be -3*(24\/(-18) + n). What is the greatest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 5, 17.\nAnswer: 5, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 10:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pipippdps. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(72)*6)**2 - (sqrt(24)\/(sqrt(12) - sqrt(300)) - sqrt(20)\/(sqrt(10)*-2))) + 4.\nAnswer: -sqrt(2)\/4 + 23332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n = -2*n + 121. Suppose -2*r - n*r = -572. What is the least common multiple of 8 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 78 = 2*v, -2*v + v + 45 = -2*b. Let x = b + 25. Solve -3*a + x + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 2015.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1047 + -200. Calculate the remainder when w is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.6  (b) -2  (c) -3\/7  (d) -26  (e) 2  (f) -2\/33  (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21756.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1640, 3288, 4926, 6548, 8148, 9720, 11258, 12756?\n\"Answer: -m**3 + m**2 + 1652*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.39779853 to one dp.\nAnswer: -67.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 63407, -10\/13 in decreasing order.\nAnswer: 63407, -0.2, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -26*r**2 - 16*r - 9. Let w(h) = 5*h**2 + 3*h + 2. Let a(y) = 2*b(y) + 11*w(y). What are the prime factors of a(-5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 149 + -160. What is the hundreds digit of (-4402)\/(-6) + 1*v\/(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16451*v**3 + 8129*v**3 + 8338*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201010320 (base 5) to base 14.\nAnswer: -518634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 537725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 35 - 41. Put 1, f, -3 in descending order.\nAnswer: 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1\/10, 0.3, 5 in increasing order.\nAnswer: -1\/10, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5 + 264*t**4 - 5514*t**3 + 36124*t**2 - 52272*t = 0. Calculate t.\nAnswer: 0, 2, 11, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/((-2)\/(-14 + -2) - 0). Suppose 15*w - z*w = -223. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12975484?\nAnswer: 2, 31, 269, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 168, 0.1, 1\/6, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 6*o**2 - 16*o + 20. Let g = -64 - -99. Let i = g + -27. Let n be d(i). Calculate the highest common divisor of n and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -178, -555, -1104, -1825, -2718, -3783?\nAnswer: -5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.916 * -2030.6.\nAnswer: 1860.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235416 is divided by 777.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -1 + -2 + -3 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 51\/2 of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -6*q**2 - 1392*q + 2805. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x - 4. Let p be o(-3). Let r(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + f**3\/6 + 2*f**2 - 15*f. Calculate r(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34848 + -19085. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 2:50 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14211 - -10?\nAnswer: 14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2662*d - 4 = -2664*d - 5*f, -5*f = -4*d + 8. Factor 108 - 12*h + 1\/3*h**d.\nAnswer: (h - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/7 + 89*l**2\/7 - 102*l\/7 - 1080\/7.\nAnswer: (l - 4)*(l + 3)*(l + 90)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**5 + 6944*o**4 + 6027386*o**3 - 20828*o**2 - 18068288*o + 12054784 = 0. Calculate o.\nAnswer: -1736, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.3  (b) -274867  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*r = -161737, 4*n - 129371 = r + 2*r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.04, -2\/5, -25, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 12*y**2 - 13*y + 2. Let w be 3\/(-10) + -254*(-6)\/(-120). Determine p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 325972808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t - 4. Suppose -1 = 6*a - 5*a + w, 7 = -5*a - 4*w. Let n(s) = 2*s + 9. Calculate a*n(z) - 7*b(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2 - 1 + n + n + 19*n**2. Let r be d(-1). Suppose r = -k + 3*k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 114 - 20. Let t = u + -35. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 100847, 201801, 302755, 403709?\n\"Answer: 100954*z - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3851 - -3855. Let r(i) be the third derivative of -i**6\/120 + i**5\/60 + i**4\/6 + i**3\/6 + 7*i**2. Let g be r(3). Sort m, 0, -3, g in increasing order.\nAnswer: g, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371423751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 7127 + 64033. List the prime factors of f.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsllubr. Give prob of picking 1 r, 1 u, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153 = -16*v + 29*v + 38*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047338090 to the power of 1\/3, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 61*l**2 + 3483*l - 22674. Calculate b(-63).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1026865271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012423432 (base 5) in base 15?\nAnswer: -2b04e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + z**2 + 5*z - 1. Let t(h) = 2*h**3 - 3*h**2 - 11*h + 2. Let d(i) = 3*t(i) + 7*w(i). Let b be d(1). Let k be (0 + b + 1)\/(-4). Is 0 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/504, -6.2, 1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-140)\/5*18*(-7)\/6174?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 11, 28, 57, 98, 151, 216?\n\"Answer: 6*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/7119 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.03, -4\/5, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7\/19  (b) 0.5  (c) -2\/9  (d) 1\/7  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -8, -207, 4 in ascending order.\nAnswer: -207, -8, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357015 - 325015 = -320*w for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of 3*j**4\/2 + 106*j**3\/3 - 24*j**2 - 5*j. Factor s(a).\nAnswer: 2*(a + 12)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a + 844 = -4*h + 786, -17*a + 5*h = -82 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**4\/7 + 76*k**3\/7 + 216*k**2\/7 + 212*k\/7 + 10 = 0?\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184 is divided by (-1)\/(3\/(-3)) - (-11 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 + 16. Let s be 3 + (7 - (7 + -4)) + -13. Sort i, -0.3, s in decreasing order.\nAnswer: -0.3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11*((3\/(-19))\/((-807495)\/14950 - -54) - 12)?\nAnswer: -22\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/42 + 294800\/(-36960)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(2175\/440) - (-6)\/(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 6*b + 1 + b**2 - 8*b**2 + b**2 - b**2. Let j be i(12). Is 6\/(((-2)\/2)\/(j\/22)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 5129.\nAnswer: -1025.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199174?\nAnswer: 2, 53, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -341962476 by -56993746.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 9*m**2 - 10*m + 8. Let n be f(-10). Let r = n + -3. Solve 0*x + 4 = -4*j - 4*x, -21 = r*j + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3752040 (base 9) in base 4?\nAnswer: 13302201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-76)\/(9 + (-130)\/10). Solve -r*j + 22*j = 3*t, -3*t + 5*j = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - -5d8?\nAnswer: 5d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/5)\/h)\/h**0)\/((h**(1\/3)\/h)\/h*h)**18 assuming h is positive.\nAnswer: h**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-12) + 85\/4. Is p - ((-6)\/(-3))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -504*i - 2871*i - 3632*i - 5491*i to h*i + k and give h.\nAnswer: -12498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 694449 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-68)\/16 - (-3)\/12. Is 23 a factor of (1 - -10)\/(l\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 8*h**2 - h + 12. Determine t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.6370018 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -15189, -15178, -15165, -15150, -15133?\n\"Answer: i**2 + 8*i - 15198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 11*a + 160. Let n be t(-14). Solve -4*y + z + 5 = n*z, 2*y + 15 = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -y, q + 9 = 2*q - 5*y. Factor 5*j**3 + 0*j**3 - 9*j**2 + q*j**2.\nAnswer: 5*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**4\/4 + y**2. Let d(x) be the second derivative of x**4\/4 + 128*x. Give d(g(s)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 829 + 329. Let b = u + -2142. Let y = -143 - b. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11309153 is divided by 3112?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -16262 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84100 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 2*h + 8 = 0. What is the first derivative of 3*i**2 - 3*i**3 + 0*i**2 + 8 - 3*i**h wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 - 64*v - 288.\nAnswer: 2*(v - 36)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5\/8 - 31\/24. Sort 2, a, 1 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -354b (base 13) to base 12.\nAnswer: -440b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - -2) + 0 + 1. Let n(b) be the third derivative of -b**3\/6 - 89*b**2. Let c(m) = 2*m**3 + 5. Determine s*n(u) + c(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 3:25 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 3*t**5 - 2 + 0*t**5 + t**5 + t**5 + (-3*t**4 + t**4 + 4*t**4)*(5*t - 4*t + t) + 5*t**2 + 3*t**5 - 4*t**2 - 2*t**5.\nAnswer: 10*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*m - 8640 = 7749 - 22047 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 528357+-104.06\nAnswer: 528252.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*s + 15. Suppose 0 = s*b - 23 - 32. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8000 = -23*w - 17*w. What is the highest common factor of 2200 and w?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -7*g + 49. Let a be i(7). Suppose -2*o + 1616 = 4*u, a = -5*u + 6*o - 3*o + 2031. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32198385.\nAnswer: 3, 5, 281, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7100 divided by -50\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -95*h**2 + 1. Let m(u) = 123*u. Give f(m(x)).\nAnswer: -1437255*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/5))**(-9)*(p**8*p*p)\/(p*p**(2\/3)))**(1\/41) assuming p is positive.\nAnswer: p**(179\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from {o: 3, i: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 7*c - 4. Give w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2781 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9 + 6)*(182\/(-6) + -1). Let j = -91 + k. Sort 1, 5, j, -4 in decreasing order.\nAnswer: 5, j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 2*f - 17, 4*o - 67*f + 65*f = 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: a0c3a8 (base 13) to base 5\nAnswer: 1424134224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -5. Let l be 3 - (-1 - -1)\/c. What is the common denominator of (l - (-24)\/(-9))\/6 and 89\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**9)**(4\/27) assuming y is positive.\nAnswer: y**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.858738 millilitres?\nAnswer: 0.005858738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 496616 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/55)\/((-110)\/(-550))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -136.913 + 137. Let p = a + -0.087. Suppose -40 = -0*i - 5*i. Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - 6*j - 2. Let b be r(-5). Suppose -5*l + b*l + 10 = 0. Suppose 2*t - 4*t - 3*a = -13, 0 = t + a - l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2340 - 1649. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2241 = 4*q - 0*d, 0 = 4*d - 12. What is the greatest common factor of q and 3162?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 22*t**2 - 21*t - 26. Let p be u(23). Suppose p*n - 7*n - 2041 = 0. List the prime factors of n.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 88*n**2*z + 2*n**2 + 777*n*z + 2*n + 18450685*z wrt n.\nAnswer: 176*n*z + 4*n + 777*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -107, -163, -219, -275?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 1.7. Let i = -0.2999996 - z. What is i rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 48\/(-18)*6\/(-4). Solve 1 = z + b*z + 3*t, 10 = -4*z + 3*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 divided by 5\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {e: 2, u: 2, p: 4, r: 4, s: 5}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -23*r**4 - 9*r**3 + 18. Let c(v) = -12*v**4 - 4*v**3 + 9. Let j(q) = 9*c(q) - 4*g(q). Differentiate j(k) with respect to k.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from {x: 2, d: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -802810085*c**5 - 40311009*c**2 + c wrt c.\nAnswer: -48168605100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 11 = 3*f, o + 3*f = 4 + 10. Suppose 51 - 216 = -o*i. Let d = -25 + i. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -339893 divided by 272.\nAnswer: -339893\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 25*g - 48*g + 28*g + 12. Let z = 10 - 4. What are the prime factors of a(z)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*k + 7*p - 12, -2*k + 2*p + 4 = 0. Suppose 5*a = -j + 346, -4 = a - k. Does 39 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 6 + 4, o + 2*d = 207. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(2\/7))**34 assuming x is positive.\nAnswer: x**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.13 - 0.17. Let o = 8.7 + -8.2. Let h = -57 - -56.7. What is the second biggest value in h, o, y, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 0, -4*o + 3 = 4*m - 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 98285662733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1344, 1429, 1580, 1797, 2080, 2429, 2844?\n\"Answer: 33*y**2 - 14*y + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x = -4*u + 4*x + 20, -5*x + 6 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (16 + 2 - 13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 65 - 241. Let w be (16 - 10) + (-126 - -1). Let z = p - w. Calculate the remainder when 101 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**4\/18 - 37*y**3\/9 + 70*y**2\/3 - 200*y - 4. What is g in u(g) = 0?\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27660 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**6 + 1085*a**5 - 4*a**2 - 229*a wrt a?\nAnswer: 120*a**3 + 65100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/5589 and -121\/972?\nAnswer: 22356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -1 - 5 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.90559324 rounded to one decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42048 = -310*x - 368*x + 240*x for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 3*q + 3*q)*(9*q**4 - 2*q**4 + 5*q**4) + (3*q**3 + q**3 - 2*q**3)*(4*q + 4*q**2 - 4*q).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 5:27 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 705481.8 litres in millilitres?\nAnswer: 705481800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3576, 3573, 3570?\n\"Answer: -3*d + 3579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 126927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*w**2 + 155*w**2 - 12 + 12.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {h: 4, s: 5, l: 5, q: 1, v: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14*(-3444)\/(-392))\/3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 - -1)*1 + -2. Let l(b) = 2*b**2 - 3*b + 1. Suppose 6*v - 7 = 11. Let z be l(v). Solve m*w = z + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 - z**2 - 5*z**2. Let r(s) be the first derivative of -5*s**3\/3 + 415. Determine o(r(v)).\nAnswer: -75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/24 + (-6)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 - 4*z**3 + 0*z**3)*(-3*z**2 + z**2 + 2*z + z**2).\nAnswer: 2*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d**2 - 21*d + 19. Calculate w(13).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = -201*y + 211*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1715.900010839 + 1715.9. Round r to 7 dps.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lcgc when four letters picked without replacement from {c: 4, g: 2, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3*x + 3*l + 319, -4*x + 645 = l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.4 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + 15 + 8 + -3 + (1 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 2. Let f(g) = g - 1. Let z(s) = -2*s - 4. Let h(c) = f(c) + z(c). What is the least common multiple of v(-6) and h(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*q + 5*q - q)*(-40*q - 121*q + 17*q) - 6*q**2 + 2*q**2 - 1 + 3 - q to t*q**2 + h + p*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -283869\/40 + 7099. Let t = 5\/822 + -18373\/2466. Calculate the common denominator of t and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -352 (base 13) to base 8.\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 3:35 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 0)*(t**3 - 2*t**2 + 2*t**2) + (-16*t**2 - 5*t**2 - 24*t**2)*(0*t + 4*t - 3*t) to l*t**2 + k*t + j*t**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u - 2*u + 10, -3*w + 11 = -5*u. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 11 = -24*s + 23*s, 5 = -5*b - 5*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9485 and 108745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 49356*f - 1135181. Calculate w(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*i*t*v - i*t - i*v - 29*i - 6*t*v + v with respect to t.\nAnswer: -13*i*v - i - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 5*d - 1, 5*b = 5*d - 4*d + 9. Let n be (759\/230 + -4)\/((-28)\/30). Let h be (-14)\/(-78) - (-2)\/(-6). What is the biggest value in n, d, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11590778 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 2*w**4 + 0 + (2 - 2 - w)*(4*w**2 + w**3 - 4*w**2) + 69413*w**4 - 29279*w**4 - 30745*w**4.\nAnswer: 9390*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 8*u - 10. Suppose 20*r + 4*c - 26 = 17*r, -5*r = -3*c - 53. Suppose -35 + 135 = r*m. Determine x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -268053*h**3 - 998*h**2 - 960836307?\nAnswer: -804159*h**2 - 1996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -112 divided by 18459\nAnswer: -16\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 478*t + 1075*t + 118*t in the form s + u*t and give u.\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 3*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 42*u + 1560 = 29*u. Solve -2*n + 34 = j + u, -2*j - n + 16 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3, 13, 4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + v - 66 = -4*v, 3*i - 53 = -2*v. Let n = -20 + 24. Suppose -2*p = n*q - 60, q + 113 - 38 = 2*p. What is the remainder when p is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10*4\/(-30))\/(6\/405). Suppose 5*q - y = -5*s, -3*s - 3*q + 7*q + 33 = 0. Solve -9*m = -s*m + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 5. Let r be (-8)\/o - 1864\/21. Let q = r - -89. Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 23.5. Which is the third biggest value?  (a) q  (b) 0.1  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102203442 (base 5) in base 12?\nAnswer: -1550734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.29 and -5986?\nAnswer: 1735.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 709*i*n**4 - 122*i*n**3 - 3*i*n**2 + 2*i*n + 9933*i - 418*n**4 + 2*n**2 + 2*n + 3 wrt n.\nAnswer: 17016*i*n - 732*i - 10032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.13  (b) 3\/49  (c) -3  (d) -1  (e) 3  (f) 0  (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -129\/14 - -82\/7. Let b(h) = -h**3 + 8*h**2 + 7*h + 22. Let k be b(9). Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/((-20)\/(-15)))\/(-19 + 25)*-10\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 95 = -21*j. Suppose -j*i + p = -88 + 12, 2*p = -i + 13. Solve 21*c + i = 24*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26639?\nAnswer: 17, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -31587 divided by 1577\nAnswer: -31587\/1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4 + (-1884)\/(-2) - -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -3918\nAnswer: 2\/1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k\/(((k**4*k)\/k)\/k*k))\/k)\/k)**(-39)*k**(-6\/5)*k\/k**(18\/11) assuming k is positive.\nAnswer: k**(8479\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**4\/7 - 423*l**3\/7 - 3624*l**2\/7 - 7956*l\/7 - 4752\/7 = 0. Calculate l.\nAnswer: -132, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 46*i - 301 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 11347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*k + 1961 + 1834 = 186*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Work out -53005 * -2466.\nAnswer: 130710330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (20\/12)\/((-3)\/(-1233) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 - 2*r**2 + 19*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12*472\/48*-4. Let h = -364 - o. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + -46. List the prime factors of 4\/4*(0 - d).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - v**2 + 2. Let j(h) = -h**3 + 22*h**2 - h + 20. Let i be j(22). Calculate d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-280)\/(-50)*(-5)\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 50*x**2 - 347*x - 460. Give f(-41).\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 7*u - 10, 4*u = -v + 9. Let z be v\/((-10)\/(-36) - 12\/(-54)). Factor -5*h + 4 + 0*h**2 - h**z + 3*h - 1.\nAnswer: -(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 969 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27.81 + -27.31. What is the biggest value in 8\/45, 2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -654236 and -0.06.\nAnswer: 39254.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11132\/21 - -530. Let i = 22784.5 + -22785. Sort i, -0.8, s in increasing order.\nAnswer: -0.8, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - p**2 - 3)*(-55 - 59 - p**2 + 220).\nAnswer: p**4 - 106*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 4:06 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27\/28 - 5\/4. Let n be 3\/(-24)*(-1 + -1). Which is the smallest value?  (a) n  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 3*n + 8 = -5*y, 4*n + 1 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (0 + sqrt(44)) - sqrt(11)) + 4 + sqrt(11) + -2 + sqrt(891) + 0 + sqrt(891) + 4 + sqrt(891).\nAnswer: 6 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 826289 is divided by 7185?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -89*o**4 + 178*o**4 - 3*o**2 + 10*o - 91*o**4 - 2 to the form b*o**2 + q*o + k*o**3 + u*o**4 + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = u - 5, -3*o - 3*u + 7 = 16. Let x = o - 3. Let q be (-1)\/3*(-8 - -5). Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -8. Let y(h) = b*h + 0 + 1 - 2. What are the prime factors of y(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.19 and -884587 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1230 - 76103?\nAnswer: -77333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20756 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 t when four letters picked without replacement from {t: 3, v: 1, s: 12}?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and -1159.141633 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*a = n, 0 = 4*n - 4*a. Suppose 15*y - 13*y - 10 = n. Suppose b + 979 = 6*b + 3*x, -y*b + 964 = -2*x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -99592, -0.3, -5, -4, 0.5, 1 in increasing order.\nAnswer: -99592, -5, -4, -0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/67 in 0.4, -2, 87\/22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*w = -50798, 50800 = 3*z - 625*w + 623*w. What are the prime factors of z?\nAnswer: 2, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 c when four letters picked without replacement from liliiccicicai?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1444, -1\/8, -1\/2, 0, 3 in decreasing order.\nAnswer: 1444, 3, 0, -1\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 5*w + 68 = -129, 45*s - 41*s - 203 = 5*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15686410*t**4 + 16270421*t**2?\nAnswer: -376473840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9105 and 396371?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 10*f - 3. Let n(a) = -221*a + 65. Suppose 2*o - 10 = -4*w, 21*w - 26*w + 20 = -5*o. Give w*n(c) + 65*q(c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w\/w**5)*w*w**7*w*w*w**(-3\/7)*w**(-2\/7)\/w*w assuming w is positive.\nAnswer: w**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*n = -11*n - 81. Suppose 0 = 2*k - 8, 4*c = -c - 3*k + 17. Let y = c + -6. Sort n, 1\/2, y in ascending order.\nAnswer: y, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 8*k + 2. Let s be p(-8). Let u(x) = x**2 - 4*x. Let o be u(5). Factor -o*g**3 + g - 3*g - 9*g**s - 2*g**3.\nAnswer: -g*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p - 4*p + 5*p + p + p + 8*p - 2 - p + 2 + (0*p + 0*p + p)*(-3 - 2 + 3) + 98*p + 79*p - 179*p + 329 to the form k + i*p and give k.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -69*b + 26. Let f be t(1). What is the lowest common multiple of (1 + f\/3)\/((-122)\/10248) and 20?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000321241076 rounded to seven decimal places?\nAnswer: 0.0003212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, g: 4, d: 3, m: 4}. Give prob of picking 4 m.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 4*f + 24 = 0, -3*r - 14*f = -4*r - 114 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 160 - 300. Suppose 16 = 2*g + 128. Let v = g - k. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of o**5\/40 + o**4\/32 - o**3\/6 - o**2\/4 + 7. Suppose i(g) = 0. What is g?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**3 + 11*m**3 - 43*m**3 + 5*m**3 - 2*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3157016?\nAnswer: 2, 337, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6716 = -31*j + 27*j + 4*t, 0 = -7*j + 4*t + 11744. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 z when four letters picked without replacement from {t: 2, c: 11, z: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24209 + -21553. Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6897 - 6896. Sort 4, d, -1, -323 in ascending order.\nAnswer: -323, -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 51, 116, 217, 360, 551, 796, 1101?\n\"Answer: o**3 + 12*o**2 + 22*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6724, 653, 8030, 15407, 22784, 30161?\n\"Answer: 7377*l - 14101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + (0 - 5844) + -3. Let m = z + -17154. What is m rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19693 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = p - 123, -2*m + 416 = 4*p + m. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 61*f. Let u be q(1). Let i = -59 + u. Determine j so that 0*j + 25 - 3*j**2 - 3*j**3 - 1 - 6*j**i + 18*j = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -8*k + 6. Let p(d) = -7*d + 5. Let c(x) = -5*p(x) + 4*w(x). Let v be 16\/(-96) + (1 - (-14)\/12). Suppose v = -3*f + 5. Determine c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 51 = -5*n. What is the greatest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 10*d + 384 = 0. Suppose 4*b = b + 267. Let q = d + b. Solve 0 = 3*k + 2*x - q, -6*x + 35 = 3*k - 2*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*w - 25*w + 81*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2217*m**3*o*t**3 + 25*m**2*o*t + m*o*t**3 + o*t**3 wrt m.\nAnswer: 13302*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/3)\/(3\/(-9)). Suppose -16*h - 12 = -10*h. Let l be (-3 - (-4 - -2))*4\/h. Solve -n = r + q, l*r = r + q + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - 4*v + 3*v - v**2)*(-10 + 2 + 2).\nAnswer: 6*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + (24 - 30) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 29. Let h(o) be the first derivative of w*o - 2\/5*o**2 + 2 - 2\/15*o**3. Factor h(p).\nAnswer: -2*p*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -63 in 2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from izrivuzigzzv.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 + 41. Is 1\/17 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -280 + 172. Calculate the common denominator of 17\/4 and (q\/30)\/((-2)\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97600211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 58687495, 117374984, 176062473?\n\"Answer: 58687489*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -279 and -0.04623.\nAnswer: 12.89817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (4\/16)\/(8\/128) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + s = -482 + 1171, 5*i + 4*s = 875. What is the greatest common divisor of i and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*i - 146*i**3 + 18*i + 12*i + 138*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*d**3 - 636*d**2 - 4380*d - 1200 = 0. What is d?\nAnswer: -20, -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - (-2)\/(-1)*1. Let d = 14 + s. Let x = -20 - -61. 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: Solve -5*j - 5*d + 1 + 29 = 0, j = 4*d - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 57\/5 of a microsecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2274*b**4*j**2 + b**2*j**2 - 130*j**2 - 63*j wrt b?\nAnswer: 9096*b**3*j**2 + 2*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 0.1, 11, 2\/9 in increasing order.\nAnswer: -1\/7, 0.1, 2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 2*d + 22 = 9*h, -2246*d = 3*h - 2241*d - 6 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ned when three letters picked without replacement from deeeedededdnnde.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-110)\/40)\/(0 - 2\/8). Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g + 148*g**2 + 260*g**2 - 4*g - g.\nAnswer: 408*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 13*b + 32. Let k be u(16). Let n be (110\/3)\/(k\/(-144)). Suppose -5*g + 3*o + 158 = -n, 0 = 5*o + 5. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*h - 48*h = -238*h + 2925 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cpcz when four letters picked without replacement from {z: 2, a: 1, c: 10, p: 1, q: 2}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.08 + -4.92. Let d = -10.33 + 10.33. Which is the closest to 1?  (a) -1  (b) h  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 164 - 162. Let l be h + 27 + 4\/(-2). Solve -4*q - l = -5*y, q + q = 4*y - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) 3  (c) 5  (d) 60  (e) 0.089\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -800658.43 to the nearest 100.\nAnswer: -800700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*p + 740*p = 4270 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 135\/106 + -6719\/2862. Calculate the common denominator of a and (4\/5)\/((-6)\/(-41)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22410.5 - -22410. Which is the nearest to -41?  (a) u  (b) -5  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**5 - 10*l**4 + 89064*l**3 - l**2 - 74210334?\nAnswer: -60*l**2 - 240*l + 534384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -81623\/1040 - -787\/10. What is the common denominator of 35\/676 and o?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + 5425.\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/1*(34\/10 - 3). Suppose -x + 5*s - 5160000 = x, 5160000 = -2*x - c*s. Round x to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 5) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of 0*v + 7\/9*v**6 + 0*v**4 + 4\/15*v**5 + 23 + 0*v**2 + 0*v**3. Determine i so that b(i) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-6) + 1016\/24?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85 * 16114.6\nAnswer: 1369741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 434564 at most 434566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 389726 divided by 3\nAnswer: 389726\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c**2 - c**2 - 2*c**2)*(-84*c**3 + 3987*c - 1994*c - 1992*c + (0*c**3 + c**3 + 0*c**3)*(4 + 1 + 1) + 0*c**3 - 2*c**3 + 4*c**3).\nAnswer: -76*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -2*x - 42, -5 = a + 27*x - 15*x + 178 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-193716)\/(-27))\/((-4)\/(-6)). Let l = 7094 - p. Let d = -1398 - l. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 32430*p - 8001560.\nAnswer: 5*(p - 238)*(p + 6724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -747227 (base 13) to base 10\nAnswer: -2729045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.8 - -5.4. Let i = 11 - 6. Put i, y, -3 in increasing order.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -48146*c**5 + 60*c - 65.\nAnswer: -962920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1016140 divided by 203228.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -12121?\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (2\/1)\/((-9)\/((-4140)\/(-20)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189334*9.4.\nAnswer: 1779739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -144 * -0.1.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from {i: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {x: 1, z: 2, w: 3, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 183*l**2 - 10*l. Let d(a) = -181*a**2 + 12*a. Calculate 4*d(p) + 5*q(p).\nAnswer: 191*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*y + 21, -a - 5*y = 4*a - 85. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/6 and 11\/33784755.\nAnswer: 67569510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 25606387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7 + -1*3\/3. Suppose -2*u + 0*u + s = 0, -3*n - 711 = 2*u. Let k = n - -4543\/19. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/7)\/(n\/(n*n**(1\/3)\/n)))**(-18) assuming n is positive.\nAnswer: n**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - (-5190)\/9)*33\/(-22). Let y = h + 865. Solve 2*f - 1 - 7 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 782, 3339, 7710, 13895, 21894, 31707, 43334?\n\"Answer: 907*u**2 - 164*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2347827255 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*c**5 + 70*c**4 = 0. What is c?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - (-20)\/(-12)) + 647\/3. Let q be v\/81*(2 + (-10)\/8). Solve 0*p + 5*p = q*i + 10, i + p - 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 9:03 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/11520 and 83\/1110.\nAnswer: 426240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of j**3\/3 - 15*j**2\/2 - 13*j + 30. Let n be v(16). Solve -n*i - 15 = -0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2*(1 - 2))\/(-2). Let n = f - 0. Let q = -76\/423 + -2\/47. Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/3047 and -19\/12851969.\nAnswer: 141371659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -481664906 rounded to the nearest one million?\nAnswer: -482000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 46*u**2 + 32*u + 144. What is c(-46)?\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55967 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by -66.\nAnswer: 17\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17661 and 11.\nAnswer: 194271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3270913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*k - 12*k + 21*k - 7*k - 10*k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.686 and -115.19932.\nAnswer: -115.88532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*t + 9*t + 36. Let r be (-1 - (2 - 0)) + 116\/t. Let b(f) = -f**2 - 5*f - 7. Let x be b(-3). What is the closest to x in 0.1, -3, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 13. Let f be g(8). Suppose -2*c = -3*o - 24, 5*o - 22 = -f*c + 3*o. Let k = 15 - c. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 5:52 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seventy-four fifths of a milligram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 276 divide 1758120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2*q + 12 = -7, z + 2*q = -1. What is the remainder when 7 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/10, -7, -0.5, -4\/5, -1 in descending order.\nAnswer: 3\/10, -0.5, -4\/5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-147)\/5)\/(79\/(17380\/66))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9800\/(-36))\/(-5) - 12\/27. Solve 14 - h = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 3 + (sqrt(52)\/sqrt(4))**2 + (sqrt(104)\/sqrt(2))**2 + (sqrt(1872)*-2 - (sqrt(52) + 0 + sqrt(52))**2).\nAnswer: -135 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bvvvbbhv. Give prob of sequence vbb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 11\/3, -46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40884 is divided by 743.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of 0*m**3 + 1\/2*m**2 + 7*m + 1\/20*m**5 + 0 - 1\/4*m**4. Suppose -18 = -4*h - 6. What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.08 + 2. Let c = 1.872 + -0.872. What is the closest to d in 1\/6, c, -2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000496 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 287659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -54882.33\nAnswer: 109764.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -0.1, 8\/7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - (2 - 0)) + 0. Let x(u) = 423*u - 8031. Let s be x(19). Sort v, -4, s, 3.\nAnswer: -4, v, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 14 + 28 + -48\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2856, 5712, 8550, 11370, 14172, 16956, 19722?\nAnswer: 22470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-171)\/(-27) + -7)\/((-2)\/9). Find the second derivative of -o*u**2 - 8*u - 2 + 28*u**2 + 20*u**2 wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 45, 126, 271, 486, 777?\n\"Answer: s**3 + 26*s**2 - 4*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.363 + 3.363. What is the nearest to -1 in -0.5, a, 0.2, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**6\/24 - 5*z**5\/3 - 70*z**4\/3 - 160*z**3 + 212*z**2. Factor u(o).\nAnswer: -5*(o + 4)**2*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3568094377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (25 - 3) + -9 + 27 + -16\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/112 and 27\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11327976 to the power of 1\/2, to the nearest integer?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -k**8\/840 + 3*k**7\/175 + 13*k**6\/300 - 29*k**5\/150 - k**4\/5 + 4*k**3\/3 + 18*k**2 - 6. What is x in r(x) = 0?\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-9)*33\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-25)\/(-15))\/((-15)\/(-18)). Suppose i*a - 2*d - 11 - 19 = 0, 0 = 5*a + 4*d - 48. Calculate the remainder when 30 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4210 divided by 119925?\nAnswer: -842\/23985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of 3*b - 1\/6*b**4 + 14*b**2 + 14\/3*b**3 + 0. Let z(l) = -2*l**2. What is z(u(p))?\nAnswer: -32*p**2 + 448*p - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 249 (base 12) to base 5.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04827*1520.\nAnswer: 73.3704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1453 + -1453.0000587. Round y to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - (2 + -7))*0\/1. Suppose s = 7*k + 45 + 46. What is the third biggest value in -1, -5\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**2\/5 - 10892*b\/5 = 0. Calculate b.\nAnswer: 0, 2723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1695 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2950170 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 + -36. Let n(f) = f**2 + 7*f - 9. Let j be n(i). What is the units digit of 12\/7*(-21)\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 870*p - 10*p**3 - 2220*p + 1218*p + 781*p to j*p**2 + o*p**3 + k + n*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22324207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 878.99171 to 0 dps.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**2\/2 - 292719936*c + 14280826821974016 = 0 for c.\nAnswer: 97573312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**33)**(-39) assuming b is positive.\nAnswer: b**(-1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*((-10)\/8 - (-2)\/8). Solve -g*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -205 divided by 205?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 + -2 - (-39 - -28)) + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22044537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -232936 + 70335.\nAnswer: -162601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43*a**2 + 6600 - 129*a**2 - 3299 - 3302 - 569*a**3 wrt a?\nAnswer: -3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -20*h**2 + 0 - 90*h - 2\/5*h**3 = 0.\nAnswer: -45, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101010 + 22?\nAnswer: -1100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 12) to base 5.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1293 - -9018\/7. Let v = 92\/21 + c. Sort v, 0.3, 1 in descending order.\nAnswer: 1, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -155, -0.113, 2\/5 in descending order.\nAnswer: 2\/5, -0.113, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -8*u + 328. Let w be o(-58). Suppose 1212 = 7*s + w. Calculate the remainder when s is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 - -6)*(-1 - -2). Suppose 0*b - a*b + 290 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c + 78 = 14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 3*w**2 + 14*w - 18. Let j be r(5). Let i be 3\/4*2\/(-6). Let a = -0.1 + 0.1. What is the nearest to j in -0.5, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.4561346 plus -339?\nAnswer: -331.5438654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6.06 - 0.06. Let u = -5 + z. Let k = 3.99 - -0.01. Which is the closest to u?  (a) 5  (b) 0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 804 and 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/119 at least 0.61046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*m + 2 = 0, 0*g + 4*g = 4*m - 4. Let j = 10 + g. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*l - 402*l + 3*i = -9, 5*l = -2*i + 4*i - 79 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.7052332 rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1742239, 1742061, 1741883, 1741705, 1741527, 1741349?\n\"Answer: -178*d + 1742417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246682*p + 246806*p = -8804 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 282932 = 5*s, -h + 5*s + 229 + 46903 = 0. What are the prime factors of h?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/1 - (-1 + 2). Suppose z + q*z + 2*s = 29, -4 = -s. Find the common denominator of z and (7\/(315\/12))\/((-4)\/174).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -50 - -63. Suppose 17 = b + t. Solve 11 = -2*n + 5*r, 3*r - 8 = 3*n + b*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 12613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/14 - (-96798)\/14. Suppose -38*l + 34468 = -j. What is the remainder when l is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 844981*s + 67172?\nAnswer: 844981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*c + 1054 + 656. Calculate the greatest common divisor of 76 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1\/((a**(-2\/3)\/a)\/a))\/(a*a**22)**22 assuming a is positive.\nAnswer: a**(-1507\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 3. Let d(c) = c**2 - c + 6. Calculate the remainder when d(0) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*i + 4009, 4*o - 6673 = 9*o - i. Let p be 4\/14 - o\/105. Solve 3 = 2*n + p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1008*r - 12485. Determine x(12).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2256*k - 3 + 17*k**2 - 19*k**2 + 2261*k. Let b(h) = -4*h**2 + 9*h - 6. What is 4*b(l) - 7*t(l)?\nAnswer: -2*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 38*i**2 + 359*i - 452. What is w(-46)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -68*j**6 + 6*j**5 + 77*j**2 + 4*j wrt j?\nAnswer: -8160*j**3 + 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -1. Suppose 11 = 12*c - 1. Suppose -w = -b + c. Let f(g) = g**2 - g. Calculate f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2046)\/(-10) + 9 + 3\/(-5) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 - ((-162)\/189*21\/(-8) - (-987)\/84)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 8*j - 12. Suppose 25 = -j*s - 2*s. List the prime factors of (8\/s)\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**3. Let o be l(-1). Suppose n - 3*y + 9 = 0, -n - 5 = o*n - 5*y. Solve -3\/2*j + 0*j**2 + 1\/2*j**n - 1 = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2304673 divided by 17\nAnswer: -135569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 - 6572*h - 336330. Calculate q(-52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5165+5.076971525\nAnswer: -5159.923028475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 79\/345 + -2\/69. Let m = -11 - -15. Factor 0 - 1\/5*b + u*b**2 - 1\/5*b**m + 1\/5*b**3.\nAnswer: -b*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 8955800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 62  (b) 1\/6  (c) 637332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-144)\/(-40) - 1*3. Let h be (1 - (-18)\/10)\/(1854\/(-1545)). What is the third biggest value in h, -4\/5, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -0.5  (c) 0  (d) 4  (e) 2\/87  (f) 2  (g) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - o = 3*l - 45, o = l - 10. What is the least common multiple of 9 and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.16938 + -0.5\nAnswer: -0.33062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10770\/1366713*(-9)\/6*6\/(-45)*-3?\nAnswer: -2\/423","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1, 1.1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - o**2 - 2 + (2 - o**2 - 2)*(-5 + 3 + 4) + 2*o**2 + 3*o**2 - 4*o**2 + 11*o**2 + 19 - 19)*(0*o - 4*o + o) - o**3 - 2*o**2 - 7*o**2 + 3*o**2.\nAnswer: -28*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gvqk when four letters picked without replacement from {q: 6, v: 4, k: 3, g: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 5*r**2. Let m(o) be the second derivative of 5*o**4\/6 + 2*o**2 - 2*o + 56. Let h(q) be the first derivative of m(q). Determine h(d(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, 292, 438, 582, 724, 864?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -319 - -319.3. Let l = 2\/245 + 1219\/735. Let o = -13\/6 + l. Which is the nearest to o?  (a) -5  (b) q  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3640003692?\nAnswer: 2, 3, 13, 23333357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 179 - 105. Let v = 103 - t. What is the remainder when v is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*r + 3*s - s, -4*r - 5*s + 45 = 0. Suppose 3*o + 135 = -r*a + 509, 0 = 4*a - 16. What are the prime factors of o?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4659 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -39742 + 2942. What is g rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 5*s. Let v(m) = 29*m**2. Determine v(z(a)).\nAnswer: 725*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1255759154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 6:11 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 9:47 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**5 + 825*l**4 + 34602*l**3 + 338154*l**2 - 34599*l - 338979 = 0. Calculate l.\nAnswer: -19, -1, 1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.148 + 0.17602. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.097, 12, 133, 4, -5.7?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -70434 divided by -5?\nAnswer: 70434\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 13*r. Let h(q) = 34*q + 26*q - 112*q + 20*q. Give h(x(j)).\nAnswer: -32*j**2 + 416*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 132 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 9:28 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0479 less than -3?\nAnswer: -3.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 38, 35, 44, 71, 122?\n\"Answer: d**3 - 10*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -4. Let m be (-280)\/21*39\/p. Suppose 3*i + 2*h - 72 = 0, 2*h - 3 = 4*i - 113. What is the highest common factor of m and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 0 + 260 + -261.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 8*u**2 - 3*u + 12. Give r(-5).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 11 = 2. Let k(c) = -c - 4. Let g be k(-7). Find the second derivative of 18*s**g - 4*s - 15*s**i - 15*s**3 - s wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -101*x + 1. Let l(b) = 9*b - 3. Let q(r) = 13*r - 4. Let a(n) = -4*l(n) + 3*q(n). Give t(a(p)).\nAnswer: -303*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 7a23?\nAnswer: -7a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*a - 3*o, 2*o = 3*a - 2*o - 11. Suppose 4*j - 8 = 2*j, -2*j = b - 12. Suppose b*z + g = 0, 0 = 3*z - z + 2*g. Solve z = 3*c + 17 - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28582 or 0.0502?\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*t + 140 = 59*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 38 = -t, 3*p - t = -0*t + 24. Suppose 50*b = 776 + 24. Let d(x) = x**2 - b*x**2 + p*x**2 + 9*x**2. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7913d4 (base 14) to base 10\nAnswer: -4114030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(2*t + t - 2*t) + (-t + 11*t + 8*t)*(2 + 1 - 1) + 0*t + 3*t - 4*t + 1 - 1 + t + 4*t + 2*t - 5*t + (t + 3*t - 2*t)*(5 + 0 - 3).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -21*h**3 - 4*h**2 - 3*h - 5. Suppose l = 2*l - 2. Let y(j) = 10*j**3 + 2*j**2 + j + 2. Let o(z) = l*d(z) + 5*y(z). Is o(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - ((-11)\/2)\/11)*518. Suppose -208*r = -215*r + a. Calculate the remainder when r is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 6*w + 2. What is o(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5\/21 - 4\/7. Let p = 9281.703 + -9282. Is p less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 402 (base 9) to base 16.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*k = -k + 183, -871 = -5*c + 2*k. Suppose 13*s - 179 = 328. Suppose -s*r = -550 - 425. What is the greatest common factor of r and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 14*u**2 - 3. Let s(n) = 24 + 18 - 42 - n**2. What is t(s(g))?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 2*q - 18. Let a = q + -5. Solve a*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -1 - 3\/4*y**2 + 1\/6*y**3 + y. Factor g(o).\nAnswer: (o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m**3 - 4*m**2 - 7*m + 2. Let b be i(3). Factor -4*l**2 - 7*l**3 - b*l + 38*l - 12 + 13*l**2 - 5*l**3 + 3*l**4.\nAnswer: 3*(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2016112*o**2 + 4861216*o.\nAnswer: -4032224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 5)*(-2*j**5 + j**5 + 48*j - 41*j).\nAnswer: -2*j**5 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q - 2*q + 2*q - 3*q + 14. Let w be j(-13). Suppose 0 = -a + 8 + w. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-3\/2))**(-47)\/(x\/(x*x*x\/(x**(-7\/4)*x)*x)*(x\/x**(-1\/13))\/x))**(-2\/9) assuming x is positive.\nAnswer: x**(-3857\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 74*r**2. Let z(g) = -156*g**2 + 4. Give z(q(h)).\nAnswer: -854256*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199476841?\nAnswer: 277, 720133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**2\/4 - 69*h\/4 + 90 = 0. Calculate h.\nAnswer: 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/11 - 102*i**2\/11 - 210*i\/11 - 106\/11.\nAnswer: 2*(i - 53)*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**2 - 7484*l + 1107432 = 0.\nAnswer: 162, 1709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-51954)\/980 - -19) + 35 and (-1 - -1) + 56\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of 0 + 0*s - 1\/12*s**5 + 0*s**3 + 0*s**4 + 30*s**2. Let d(k) = -6*k. Calculate d(u(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -2\/5, -1\/5, 52211, 4, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6536 is divided by 253.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2176 - 2173. Solve -2*f = d + 3, -5*d - 15 = p*f - f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 331.055t?\nAnswer: 331055000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1\/8, 0.43, 2\/5, -0.5, 3\/23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.98 - -0.02. Which is the biggest value?  (a) k  (b) 3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a49 - -31?\nAnswer: 5a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41.9, -5, 1, -1.4, 3.\nAnswer: -5, -1.4, 1, 3, 41.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-209)\/9)\/1 - ((-1100)\/(-99))\/(-50).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5218333 divided by -5218333?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10\/11 in -190, 0.05, -5, 3\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2946709220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -5.6\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7333 (base 9) in base 6?\nAnswer: 40520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + -1 + 2)*2\/(-6). Let m be (f\/2)\/((-20)\/24). What is the nearest to -1 in m, -2\/13, 18?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 60, 121, 178, 231?\n\"Answer: -2*n**2 + 67*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {x: 7, d: 3, w: 1, f: 2, o: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (14\/(-3))\/(30\/(-45)). Solve -4*n = -x*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from hnnqpqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, e: 1, m: 1, a: 2, w: 1}. What is prob of sequence mer?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 f, 1 s, and 1 c when four letters picked without replacement from {u: 2, f: 6, s: 2, c: 3, n: 1}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j - 7. Let k be f(4). Let u(v) = -17*v**2 - v. Let x be u(k). Let p = 33 + x. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15949 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -755*l + 1 + 8*l**2 + 760*l - 1.\nAnswer: 8*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1342609650?\nAnswer: 2, 3, 5, 67, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000028733213 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 561 divided by -187\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(-8))\/(2\/(-8)). Suppose -2*r - 3 = n. Let k(i) = i**3 + 4*i**2 + i - 3. Determine k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111011101110010001100110101 + 0?\nAnswer: 111011101110010001100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**4\/15 - 8*q**3\/3 - 62*q**2\/5 - 52*q\/3 - 112\/15 = 0.\nAnswer: -14, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -270, 5, 19, 18, -20 in decreasing order.\nAnswer: 19, 18, 5, -20, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 980 and 13132.\nAnswer: 65660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -578 - 28*z + 577 + 238*z + 77*z.\nAnswer: 287*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-147)\/70)\/(-7))\/((-180)\/48).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14, 12, 10, 8, 6, 4?\n\"Answer: -2*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -315.94 - -313. Let x = -0.06 + t. What is the biggest value in x, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 350 = -0*o. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324495072 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35\/4 in -55, 2\/11, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 3, -8*d + 59 = -14*d + d + 4*d + 7*d + 4*d - b for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 0. Let u = 25.11 + -25. Let y = u + -0.61. Which is the nearest to k?  (a) y  (b) 4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yttt when four letters picked without replacement from {t: 5, y: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*f**4 + 369*f + 3601.\nAnswer: -72*f**3 + 369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of -13 + 9 - (-20)\/(-8)*-370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61 + 61. Solve 2*p + 3*p + 15 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -413 + -15?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 483829.\nAnswer: 4838290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*x**5 + 20*x**4 - 20*x**4 + (-5*x**3 + x**3 + 2*x**3)*(-2*x**2 + 5 - 5) + 2*x**5 - x**5 - 2*x**5.\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1792 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(2\/2*-1). Suppose f - v*f = -42. Is (14\/f)\/(7276\/(-3639) + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 6*t. Let w = 913 + -828. Suppose -b + w*f - 81*f - 3 = 0, -3*b + 36 = -3*f. Solve 5*a + b = 2*i, t*a = a + 3*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*x**3 - 25*x**2 - 5*x.\nAnswer: -5*x*(x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10046677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 13, 183, -20 in descending order.\nAnswer: 183, 13, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3337150.\nAnswer: 2, 5, 31, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45*d**5 - d**4 - 84*d**2 - 8450*d + 5.\nAnswer: 900*d**3 - 12*d**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/39618 and -139\/6138.\nAnswer: 435798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w - 1. Let v(u) be the third derivative of -u**5\/60 + u**4\/4 + u**3 - 2*u**2. Let k = -7 - -6. What is k*v(j) - 6*i(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -8. What is the smallest common multiple of 16 and 284\/h + 6\/(-21)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -13*u - 26. Let s be v(-2). Which is the fourth smallest value?  (a) s  (b) -7  (c) 4  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -385555 - q - 54*q**2 + 385555.\nAnswer: -54*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 13) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.67 * 1.9\nAnswer: 1.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-3\/8)*m)\/m*m\/(m**(5\/8)\/m*m))\/(m*m**2\/m)**(-5\/2) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 0 - 1)*(2 + 0 - 4) + 164 - 82 - 71)*(2*s - 3*s + 2*s) in the form k + v*s and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 1665 = -2*x + t, -5*x - 5*t + 4155 = 0. What is the units digit of x\/18 - 6\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-15))\/(65\/(-15)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -2652 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5*j**3 + j**2 - j + 1. Let k be x(1). Let b be (4 - 0)*k\/8. Let t(v) = -v**2 - b*v + v + 2*v. Let g(h) = -2*h**2. What is g(t(a))?\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -709 - -708. What is the closest to f in 2\/15, 2\/13, 93?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/4 - 35*f**2 + 1408*f - 12288.\nAnswer: (f - 64)**2*(f - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 45719663 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 6*f - 4. Let v(i) = 8*i**2. What is l(v(c))?\nAnswer: 48*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -249 or -10?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 AM and 8:13 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/8*-10*1*536\/84420?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - -136. What is h in 154*h**2 - 42 + 36*h + 204 - 311*h**2 + t*h**2 = 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = 13*f - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/11 and 43\/92?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(((u\/(u\/u**(6\/11)))\/u*u*u)\/u)*u\/(u\/(((u\/(u\/u**(-1\/9)))\/u)\/u*u)))\/(u**(8\/5)\/u*(u*u**(-7))\/u) assuming u is positive.\nAnswer: u**(2843\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 2 + 2)*(-14*r**2 - 5*r**2 - 22*r**2).\nAnswer: -123*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 + 34. Solve h + g*k - k = -7, h + 4*k + 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 773 + -324. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 6 = -3*o, 2 = -l + 3*l - 4*o. Let z = l - -1. Suppose z*b = 20, 0 = -v - 0*b + 3*b + 7. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/15 + (-48)\/(-10). Suppose -4*b - b + 5*s = -15, l*s = 4*b - 12. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2296280 divided by 7784?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - v + 25*v**2 - 2*v**3 - 23 - 18*v**2 + v**3 - v**3 as g + x*v**3 + z*v**2 + u*v and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.51 - -8.41. Let v = -3 - 4. Let q = v + g. Which is the second biggest value?  (a) 0.2  (b) 5\/2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-171)\/(-13) - 22*29\/4147?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/720 and -47\/16197.\nAnswer: 3887280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -98*h**2 - 2433*h - 9450. What is p(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -171\/7*a**4 + 3\/7*a**5 + 465\/7*a**3 + 1179\/7*a**2 - 2916\/7 - 2376\/7*a = 0. Calculate a.\nAnswer: -2, -1, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 78*s - 671. Give j(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/12 + (-4)\/(-3). Suppose 2*s + 3*m = 246, -s = 3*s + h*m - 492. What are the prime factors of s?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.41 + -0.21. Which is the second biggest value?  (a) 3  (b) t  (c) 1\/3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 5*w**2 - 8*w + 5. Let u = -86 + 89. Let p be h(u). Let r be (-86)\/(-630) - (-2)\/(-9). Is r smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or 223\/5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*g**3 + 13*g**3 + 19*g**3 + 9*g**3 - 69*g**3.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 - -11. Let q(j) = -j + 0*j**2 + 3*j**v + 2*j**3 - 2*j - j**2 - 3. Give q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 629440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -74 by 348451.\nAnswer: -74\/348451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 615244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*i - 5*r, -2 = -2*i - 4*r + 3*r. Let f = i + 23. Factor f*m**3 + m**4 - 25*m**3 + 4 + m - 2*m**2 + m**5 - 3.\nAnswer: (m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 639, 11, 3, 91.\nAnswer: 3, 11, 91, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1 + (-6*-2*sqrt(1377) + sqrt(1377) - (-1*sqrt(1377) + -3) - ((-2 + sqrt(1377))*2 + -1*sqrt(1377) + -3 + sqrt(1377) + sqrt(1377)))))**2.\nAnswer: 7128*sqrt(17) + 666792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14635, 13717, 12801, 11887, 10975, 10065?\n\"Answer: u**2 - 921*u + 15555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 + -174*(-4)\/24. Solve -7*u - i = 5*r - 3*u, 20 = -5*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -109 + 4. Suppose -4*x + 8 = -12, 5*h - 2*x = -k. Let y(m) = -19*m + 9. List the prime factors of y(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 32177893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b5 - -3?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -4, 11, 3, -2.2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (34\/10)\/((-3)\/(-15)). Let f = -38 + z. Let s = 3 - f. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1151.8 - 165.6. Round k to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4135\/14 or -296?\nAnswer: -4135\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**3 + 2*v**2 + v. Let b be f(-1). Let x = b + 0. Is 1\/x + (-85)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/14 and 29\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 104\/(-9) + (-8)\/18. Let n be (-662)\/a + -7 - (-1)\/(-6). Suppose 51*z = n*z - 13620. Round z to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 3*r + 19, -2*i - 1190 + 1161 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k**2 - 33*k**3 + 73*k**4 + 33*k**3 + 2*k + 31 - 71*k**4 to the form y*k + q*k**3 + h + f*k**2 + z*k**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**2 + i + 0*i + 63614 - 63555)*(-7*i**2 + 3*i**2 + i**2).\nAnswer: -15*i**4 - 3*i**3 - 177*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -262551449*h + 9*h**3 - 10*h**3 + 262551449*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1766643 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117 + -171. Let a = o + 271\/5. Let j be (-1 + 10\/4)*370\/(-1295). Put j, 3, a in ascending order.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6d499 + 8?\nAnswer: 6d4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2777 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -4*q - 3. Let p be i(-2). Suppose -4*y + 125 = p*l + y, 4*y - 75 = -3*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**7\/105 - 13*p**6\/150 + 8*p**5\/25 - 37*p**4\/60 + 2*p**3\/3 - 2*p**2\/5 + 21*p. Find w, given that d(w) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441697847?\nAnswer: 441697847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 368027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1120 + -580. Let p = -284 + r. Does 64 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/208 and 79\/2886.\nAnswer: 23088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2576.63 * 725.\nAnswer: -1868056.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4289, -4 in increasing order.\nAnswer: -4289, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + p + 2 + (0 - 3 - 8)*(6*p - 12 + 14 - 3*p).\nAnswer: -32*p - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b9 + 2?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/2 - -2) + -2. Suppose 1 - 7 = 3*n + 3*a, -2*n - 12 = 4*a. Suppose 0 = 3*b + t*u - 39, 2*b - b - n*u + 2 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 496, 418, 280, 76, -200?\n\"Answer: -y**3 - 24*y**2 + y + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*t - 0*t. Suppose -p = -t*w + 114, -4*w + 0*w + p = -91. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2425 and 1234325.\nAnswer: 1234325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.78 + 0.22. Let z = 107\/301 - 3\/43. Which is the nearest to w?  (a) 5  (b) z  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-81)\/(-75))*(-2028)\/(-338)*(-6)\/4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 135\/225*(-10)\/(-9). Find q such that 4\/3 + 35\/6*q**3 - 37\/3*q**2 + d*q = 0.\nAnswer: -2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 11. Let u(i) = -522*i**2 - 112. Determine -u(l) + 10*z(l).\nAnswer: 512*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1427672.\nAnswer: 2, 47, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31207863 is divided by 163?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 12, -19577, -1, 4, -3.\nAnswer: -19577, -3, -1, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*u - 32 = 0. Let q(d) = d**2 - 7*d - 9. Let w be q(u). Calculate the common denominator of -56\/5 and w\/(-5)*(1 - 43).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.026 + -0.034. Let t = 0.26 + c. Is -1\/17 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-56)\/(-12))\/7*(-9)\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41907 or -147.9?\nAnswer: -147.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - p + 684 = 0. Suppose 338 = 3*a + 4*i + p, -2*i = a - 72. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 357 - 207. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 7512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 193\/2688000 and -89\/1240.\nAnswer: 83328000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 262441820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -v - 7333, 0 = -234*m + 235*m - 5*v - 3653. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + a + 1. Let m(d) = 7*d**2 + 7*d - 28. Let s(r) = 6*c(r) + m(r). What is the remainder when 15 is divided by s(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 104 = 80. Suppose 14*k = y*k + 3108. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d + 1. Let a(h) be the first derivative of 13*h**2\/2 + 5*h - 10. Suppose 9 = -3*j + 3. Give j*a(w) + 9*c(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 5:13 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(825)*4 - (sqrt(33) - 3*sqrt(1188)))\/((sqrt(27)\/sqrt(3))\/sqrt(3) + (sqrt(24)*3)\/sqrt(8)).\nAnswer: 37*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 6*r - 2. Let v be 2 - 3\/((-6)\/16). Suppose -5*h - v = -3*h. Determine x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t. Let w be s(-2). Suppose 5*a + 3*v - 5*v = -1, w*v = 2*a + 10. Suppose 2*o - a = o. Which is smaller: 2\/11 or o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l**2. Let o(h) = -10*h + 491. What is o(j(x))?\nAnswer: 50*x**2 + 491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*j = 32*j - j. Let y(x) be the third derivative of 0*x**4 + 5\/6*x**3 + 1\/3*x**5 + j + 0*x + 14*x**2. What is the derivative of y(s) wrt s?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 3*f**2 + f**2 - f - f**2 + f + (3 + 0 - 2)*(3*f**2 - 7*f**2 + 2*f**2).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 903563 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6531 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 9.17. Let d = -5 - -4.97. Let p = s + d. Which is smaller: p or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1403 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1346082 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46106?\nAnswer: 2, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -3*w - 4. Let a(g) = g**3 + 5*g**2 + 3*g. Let y be a(-4). Suppose -4*m - 4*s + 4 = 0, 10 + 6 = y*s. What is j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 1:41 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/((-2)\/(-9 + -1)). Suppose o*i - 43*i = 16. Solve 5 = 3*w - i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**6\/60 - b**5\/15 + b**4\/6 - b**3\/2 - 20*b**2. Give m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -117 - -86. Let x = l - -28. Let h be 24\/10 + (2 - 4). What is the nearest to h in 0.4, x, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -47*v**4 + 670*v**3 - 376261*v wrt v?\nAnswer: -564*v**2 + 4020*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 148.49816 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, 5, -3\/23, 0, 6 in increasing order.\nAnswer: -5\/3, -3\/23, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 350\/10*(319\/(-110))\/(-29)*(-82)\/(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, -2, 1, -3, 5672, 15 in increasing order.\nAnswer: -3, -2, 1, 15, 78, 5672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73396836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34291986 and 4314?\nAnswer: 34291986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 248 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003332428 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-6))\/((-220)\/(-40))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (18\/153)\/(2\/(-24)). Let p = -134\/119 - m. Which is the third smallest value?  (a) p  (b) 2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 281719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2805484, -2805534, -2805600, -2805688, -2805804, -2805954, -2806144, -2806380?\nAnswer: -2806668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1576270 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 4*h - 191. Suppose 97 = -5*u + 3*v, -v + 2*v = -3*u - h. Let z = u - -25. Put 0, z, -1 in descending order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -130, -376, -856, -1648, -2830, -4480, -6676?\nAnswer: -9496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -18*f + 124. Let l be o(7). Let r(g) = g**3 - g. Give r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.1  (b) 1\/6  (c) -1\/4  (d) -2  (e) -8  (f) 1024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*t + 1204 = 21*t - 13*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and 99.019.\nAnswer: 98.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 AM and 2:23 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*(sqrt(264) + 4*sqrt(264) + sqrt(264) + sqrt(264)))\/sqrt(12))\/(sqrt(88)\/(-5*sqrt(968))) + 3)**2.\nAnswer: -6930*sqrt(2) + 2668059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 q when four letters picked without replacement from qeimqhqqmdmi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 13*i**2 - 11*i + 12. Suppose b - 4*b + 46 = 5*t, -4*b = t + 1. Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ufnrofu. What is prob of sequence nr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 203 and 1276.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 573720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeedeeede. Give prob of sequence eded.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of 3*q**4\/4 - 5*q**3\/3 - 12*q + 32. Let u be v(-21). What is u rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2432426\/83 + -29306. Calculate the common denominator of u and ((-70)\/6)\/((-8)\/6).\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -11. Find the third derivative of -g**3 - g**c + 6*g**2 + g**5 + 2*g**3 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 3*s**5\/20 - 37*s**4\/4 - 56*s**3 - 2228*s. What is the second derivative of c(r) wrt r?\nAnswer: 18*r - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -17. Let v be (-7 + h)*(5 + 0). Suppose -v*j + 25 = -5*t, -j - 3*t - 1 = -2. Solve j*q + 25 = -g, 5*g + 8 = 4*q + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 22 = -5*c, v = -4*v + 4*c - 25. Put v, 5, 143 in increasing order.\nAnswer: v, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 10:47 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46.2 + 42. Let m = g + 2. Let j = m - -2. Put j, -4\/3, 0.2 in decreasing order.\nAnswer: 0.2, j, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -6*n - 41 + 41. Let b(x) = x. Let g(m) = -5*m. Let f(u) = -4*b(u) - g(u). What is y(f(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3012 (base 4) to base 6\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27851706 (base 9) to base 8.\nAnswer: 64472414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2602, -10413, -23424, -41629, -65022, -93597, -127348?\n\"Answer: i**3 - 2606*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l. Let h be i(3). Solve -h*v + 2*p = -21, 0*v - 5*p - 25 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -s - 0*c - 4*c, 4*c - 55 = -5*s. Suppose -22*p = -s*p. What is the common denominator of -9\/11 and (1 - (-95)\/25) + p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -145641 take away 50.3?\nAnswer: -145691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -84207000 rounded to the nearest one hundred thousand?\nAnswer: -84200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 + -41. Let a(s) = -s**2 + 5*s + 4. Let w be a(5). Let k = w + b. Solve -3*d + g + 1 = -d, k = -5*d + 5*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 760837 and 760837.\nAnswer: 760837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2299?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3194 and -1.\nAnswer: -3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 4*v**3 + 191*v**2 + 21*v - 13. Is j(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -1. Let b be -1 - (r + -2 - 4). Solve 4*j = -5*i - 2, -7 - b = j - 3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(7\/3)*l*l*l)\/l**(1\/5))\/((l\/l**(-2))\/l*l)**27 assuming l is positive.\nAnswer: l**(-1138\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**5*t\/t**3*t*t\/t**(-1)*t*t**1*t assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + 3 + (0 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**4 + r**2 - r**2 + r**4 - 5*r**4 + 2*r**4 + (2*r**3 + r**4 - 2*r**3)*(-1 + 0 - 1) + 1187*r**4 + 598*r**4 + 815*r**4.\nAnswer: 2595*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.176 * 5710.\nAnswer: -92364.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of 209*q**3\/6 - 290*q**2 - 427*q. What is the derivative of u(i) wrt i?\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 - -33. What are the prime factors of -15*(c\/6)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -6, 12, 4 in increasing order.\nAnswer: -6, -4, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-2) - 2\/4. Suppose -3*h - h - x = 0. Let j = 3.14 - 3.2. Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7031?\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from ajgyi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*a**2 - 375 + 375.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33168 + 33168.3. Let u be (3\/(-6))\/(1\/(-16)). Let k be 10\/u*3\/(-5). Are t and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 455634, 1822325, 4100076, 7288893, 11388782, 16399749?\n\"Answer: b**3 + 455524*b**2 + 112*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5699 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 692476441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/465 and -32\/279.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5\/2*i**2 + 85\/2*i + 45 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -993005.557 rounded to the nearest 100?\nAnswer: -993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 9) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -15*s**3 - 4*s**2 + 10*s - 7. Determine a(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t + 4*t + 21. Let s = -6 + t. Let p = -0.4 - -0.6. Which is the third biggest value?  (a) -0.4  (b) s  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 0.1, 3.9, 4\/16733, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92.4688 - 138.4667. Let g = 40 - -6. Let q = g + j. What is q rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34153584*v**2 - 113*v + 87297.\nAnswer: -68307168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -d**6\/160 + 3*d**5\/80 - d**4\/16 + 62*d**2. Factor j(c).\nAnswer: -3*c*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**5 + 2514*f**4 - 1513874*f**3 + 189338702*f**2 + 383229072*f + 192373984 = 0. What is f?\nAnswer: -1727, -1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b + 7. Let h(f) = -2*f + 7. Let a(x) = 5*h(x) - 6*m(x). Suppose -17*t + 20*t + 21 = 0. Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 418 + -413. Sort o, 4, 1.\nAnswer: 1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/2 + 497*n + 51107\/2.\nAnswer: -(n - 1043)*(n + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 585 and 3034330?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from addda.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**3*x**2 - 290*l**3*x - l*x**2 + 3*l*x - 17*x**2 wrt l?\nAnswer: -6*l*x**2 - 1740*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 17. Factor 0*r - 2*r - 3*r**2 + 3*r**3 - 6*r + 5*r + o*r**4.\nAnswer: 3*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 22\/2*329\/517 + -4 - -10136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1088 - 1088 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 73  (b) 2\/141  (c) -282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*c = -12207033, 5*c - 2679323 = y + 1389672. Let k = y + 1289015. What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 - -2. Let g(j) be the third derivative of j**5\/60 + j**4\/24 - 7*j**3\/6 - 45*j**2. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1015 and 5481?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/4 + 1773*u**3\/4 + 26445*u**2\/4 + 131975*u\/4 + 109875\/2.\nAnswer: (u + 5)**3*(u + 1758)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1727*v + 1718*v + 24327 = 0. Is 51 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017872 to 6 decimal places.\nAnswer: 0.001787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -550884*i**5 - 403829*i?\nAnswer: -11017680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6876 + 6532 = 8*i. Calculate the smallest common multiple of i and 22.\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 246 and 316784655.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 2, 2*n - 15 - 6 = -3*c. Let f = 12 - n. Suppose 2*y + 1 + 1 = f. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -545, -1599, -3377, -5885, -9129, -13115, -17849?\nAnswer: -23337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/(-3))\/(2\/(-3)). Suppose -l = 2*b - 16 + 51, f*l + 15 = -2*b. Calculate the common denominator of b and 13\/(-15)*36\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 5:57 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -67 + 69. Suppose -5*j + 7 = 4*m, -9 + 1 = -v*j + m. Suppose j*r = -15, 2*f - r - 20 = -f. Let d(n) = n - 3. Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40242249067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-6)\/8)*((-1)\/16)\/(16107\/(-89208))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*w**4\/11 - 202650*w**3\/11 + 342164*w**2\/11 = 0. Calculate w.\nAnswer: -1514, 0, 113\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1224 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1229453 is divided by 688.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -365 divided by -23876\nAnswer: 365\/23876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/42*315\/18. Solve -5*h = 3*d + 19, -2*h + 14*d + q = 11*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-6) + 124\/4. Let z = -84 + q. Let n be z\/18 - (-12)\/2. Solve 3 = -2*f - 4*x + 15, 0 = 5*f + n*x - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43260247\/976 - 44324. What is the common denominator of 45\/976 and k?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, -3, -364178 in decreasing order.\nAnswer: 53, -3, -364178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1 + (-24 - -12) - (24 + -25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q**2 + 276265*q + 3590600 = 0. What is q?\nAnswer: -55240, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1373, 4700, 9985, 17228, 26429, 37588?\nAnswer: 50705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14443232 (base 5) to base 7.\nAnswer: -1220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 + 18. Let s(f) = -5*f - 13. Let w(p) = 27*p + 65. Let c(d) = z*w(d) + 11*s(d). Let g be 0*(-2 - -1)*-1. What is c(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 2*j**2 - 2. Let d be w(2). Let x(u) be the first derivative of 3*u**4\/4 + 4*u**3\/3 + u**2 - 2*u + 12. Calculate x(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*y - 79, -5*y + 193 = -0*y + 4*m. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 807, 10263, 28369, 55119, 90507?\nAnswer: 134527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/2, 2\/3, -1\/3, -1107, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 334 - 123?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 85513 smaller than 85514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004029259931 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9.819 greater than or equal to -1177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, k: 1, i: 1}. What is prob of sequence kiz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**3 + 14*q**2 + 13*q + 7. Let n be z(-5). Let c = -31 - -45. Calculate the highest common factor of n and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*1*5 - -4*(1 + sqrt(19)))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v - 2*v + 5*v + (-2 - 3 + 3)*(-14 + 14 + 2*v)*(2 + 1 - 7).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62543, -250202, -562967, -1000838?\nAnswer: -1563815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8)\/(-24) + (-155)\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20035 or 0?\nAnswer: 20035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29478785.580881 - -29478772. Let o = -9.5808814 - c. Let v = 4 - o. Round v to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (180\/810)\/((-2)\/153)*(-2)\/(-8)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 1863956?\nAnswer: 1\/1863956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31772 divided by 7943.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -8*j + 16. Calculate a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3668289047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 254 = -202. Let u = 39 - -53. What is the remainder when u is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 - 7*b**2 - 3*b + 3. Give z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35729*z - 71472*z + 35765*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -184765151*b**2 + 129919670 wrt b.\nAnswer: -369530302*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 7 = -4. Let q = s + 100. Which is greater: q or 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssssggsgggfsgggggg. Give prob of sequence sggg.\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of j**4\/4 + j**3\/6 - 29*j**2 - 13*j - 2. What is the tens digit of c(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 4*v - 138. Let l be u(14). Let o be -3 + 5\/((-5)\/(-3)). Solve 3*c + l*c - 25 = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 2784, -626?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 27*y**2. Let h(m) = 257*m**2. Let s(g) = -16*h(g) + 152*u(g). Let f(k) = -6*k**2 - 5. Calculate f(s(v)).\nAnswer: -384*v**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -37513 and -123836.\nAnswer: -161349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(4)\/sqrt(2)))\/(3*sqrt(12)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (255\/(-119))\/(-3)*(-7)\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**5\/3 + 46*f**4\/3 + 90*f**3 + 150*f**2 = 0. Calculate f.\nAnswer: -15, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 4*f**2 - 14)*(-24*f - 2*f**3 + 24*f + 15 - 4 + 4 - 2*f**3 + (-f + f + 2*f)*(-5*f**2 + 3*f**2 + 0*f**2)) + 2*f**5 - 4*f**5 + f**5.\nAnswer: 31*f**5 - 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-5 - -8) + 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 202*r - 2560. Determine m(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 + 3)*(-1 + 1 - 7*a) + 1 - 1 + 4*a in the form g + x*a and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r + r - 11*r)*((0 + 1 - 2)*(-3 - 1 + 6) - 12 - 5 + 10) to the form h + f*r and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -95*o + 4 + 188*o - 4 - 91*o. Let y(r) = 13*r**2 - 2*r - 5. What is y(n(t))?\nAnswer: 52*t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k - 19 + 39 = -17*k - 2*i, -2*k = -5*i - 45 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q + 79. What is r(-41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(-2) + (-21 - -19). Let m(d) be the second derivative of -d - 1\/20*d**5 + 0 - 1\/6*d**3 + 1\/12*d**4 - v*d**2. Give m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppn when three letters picked without replacement from {p: 5, n: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*n - 2*n + n**2 + 36*n - 6*n + 0*n**2 + 1388*n**4 to i + s*n + x*n**4 + k*n**3 + r*n**2 and give x.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000923043 to seven decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 16 = -2*s, -5*s - 67 + 74 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 122183658 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 94.3893ug?\nAnswer: 0.0000000943893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -243*k - 2430. Calculate g(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**5 - 17*n**4\/2 - 15*n**3\/2 + 35*n**2 - 18*n - 4 = 0.\nAnswer: -2, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -10 - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 8 = 8*t, 3*v + 512 = 4*t. Let x = -169 - v. Let w be 1*(34\/(-14) - -2). Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4580731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 9 - 9 = -b, 5*h - 4*b = -48. Let c(d) = d**3 + 9*d**2 + 6*d + 3. Is 7 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/30, -384\/13, 1.02 in ascending order.\nAnswer: -384\/13, -1\/30, 1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*i + 307*i + 304*i - 1 + 326*i - 1227*i.\nAnswer: 30*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + (2 - 8))\/(-2). Suppose -3*y - r = -71, 2*y + 2*r - 54 = z*r. What is the remainder when 447 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61\/2 - -31. Let v = 16781 + -16779. Which is the nearest to -1?  (a) v  (b) r  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x - 4*m = -11*x - 248, 5*m = -3*x + 368. Let k = -84 + x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -1. Let z(n) = -3*n**3 + 70*n - 6. What is -6*u(y) + z(y)?\nAnswer: -3*y**3 + 70*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4*w. Suppose -3*s + 2*i + w*i = -126, -s - 5*i + 25 = 0. Let m be (0 - 1)*s*2075. What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 - -24. Solve -5*o + 3*q - p = -2*o, -2*o + 7 = -5*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 100 - 74. Suppose -l - t = -31. Let n be 1 + 4 + 3\/12. Is n <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2645.0744 and -14167083.\nAnswer: -14169728.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -36*t**4 + 12*t**3 - 2*t**2 - 1694. Let k(c) = -72*c**4 + 24*c**3 - 5*c**2 - 3388. Let j(z) = 5*a(z) - 2*k(z). What is the derivative of j(x) wrt x?\nAnswer: -144*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - (34 - 100 - -27).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 4*g + 0*g)*(-3*g + 0*g + g)*(-22*g - 11*g + 11*g) + 87*g**3 + 233*g**3 - 173*g**3.\nAnswer: 103*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-38748)\/(-18))\/((-6)\/9675) + -6. Let x = k + 7091181. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142488, -142486, -142484?\nAnswer: -142482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -245*y**5 + 24740485*y**4 - 632530590*y**3 + 4164457060*y**2 - 2227092440*y + 310944480 = 0.\nAnswer: 2\/7, 11, 14, 100956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1176\/(-756)*(-444)\/1813)\/((-24)\/(-70)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.0544 rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 125\/45*1 - 4\/(-18). Suppose 5*i = -8*h + 3*h, x*h = i. Solve h = l - 3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 11:05 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -5. Let s be 4\/18 + (-5695)\/(-9) - p. Suppose 2*i = -i + s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o + 3*o + o)*(-3 + 2 + 3) + 16*o + 14*o - 27*o + (-1 + 5 - 3)*(-o + 4*o - o) + 3*o + o - 2*o as d + k*o and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2808\/65*(-20)\/(-8). Let k(j) = j**3 + 3*j**2 - 6*j - 5. Let h be k(-4). Suppose h*i + q = g, g + 3*i - 189 = -g. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 61 + 56. Suppose -j + 89 = -r. What is the greatest common factor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 6. Let t be u(-6). Suppose t = -p - p. What is the units digit of (-15)\/10*p*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 3*y - 7321, -2*s - 65*y + 64*y + 3663 = 0. What is the remainder when s is divided by 376?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t**2 + 2*t - 2. Let p be q(-2). Suppose 0 = u - 3*s - 23, -2*s + 47 = u + p*u. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 + -18. Suppose -266*k - 5590 = -309*k. Calculate the greatest common factor of k and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.8 + -6.6. Let i = 4586 - 4585.9. Which is the nearest to -0.2?  (a) i  (b) 4\/5  (c) -3\/7  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 2*b - 3*b)*(3*b - 3*b - 2*b) + b**2 + 3*b**2 - 5*b**2 + 2*b**2 - 5*b**2 + 7*b**2 + 476*b**2 - 3 - 16556286*b + 16556286*b.\nAnswer: 481*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5495, -5491, -5485, -5477, -5467, -5455?\nAnswer: -5441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {e: 2, i: 4, y: 3, b: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-1)*1*48\/((-2496)\/(-1472588)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(76) + 2) - 6*(1 + sqrt(76))) + (6*(-3*sqrt(228) - sqrt(228) - sqrt(228)))\/(sqrt(12) + 3*sqrt(60)\/sqrt(5)).\nAnswer: -43*sqrt(19)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -112012000 (base 3) to base 2\nAnswer: -10100001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - k + 12. Suppose s = -s + k. Solve -s*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*g + 40*g + 1073367 = 3*k, -2*g = k - 357805. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-42)*(-2)\/5*(-6)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6921 - 12742 - 5607 - 574 - 9255)*(4 + 1 - 2)*(-2 - h + 2).\nAnswer: 63771*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -933 - -932.88. Let z be (-6)\/8*(-16)\/30. Let m = -11 + 16. Which is the closest to z?  (a) g  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g - 1. Let b(s) be the second derivative of 7*s**3\/3 + s**2 - 132*s. Let l(y) = -b(y) - 6*u(y). Let f(v) = v. What is l(f(r))?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75275 is divided by 332.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02106 - -0.02106. Let s = 146\/413 - 4\/59. Which is the nearest to k?  (a) s  (b) 1  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.32 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2053683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 1\/30*h**5 + 0*h**4 + 0*h + 0 + 0*h**3 + 1\/300*h**6 - 18*h**2. Find c such that n(c) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23408?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -169333\/5 + 33752. Let z = n + 114. What is the third smallest value in z, -4, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-34) + 902\/1394.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 259143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-64)\/(-3)*((-75)\/4)\/(-5). Suppose 0*h - h = -10. What is the greatest common factor of h and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/345526 and -85\/2604.\nAnswer: 14512092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 182502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12577810058 rounded to 3 dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 775*c**3 + 809*c**3 + 546*c**3 - 2344*c**3.\nAnswer: -214*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -83*t**2 - 7*t. Suppose -5*l - 18 = 142. Let g(r) = 912*r**2 + 76*r. Let h(z) = l*s(z) - 3*g(z). Find the second derivative of h(d) wrt d.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 101010110001001001101010010?\nAnswer: -101010110001001001101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**3 - 3*y**3 + y**3)*((1 - 1 - y)*(-3 - 1 + 2) - 7 + 5*y + 7 + 2*y + 2*y - y)*(1 + 1 - 1).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 11\/2  (b) 0  (c) 1\/65  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 0  (b) 2.3  (c) -0.1  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2046919\/20 + 102340. Let v(x) = -x**2 - 4. Let y be v(6). What is the common denominator of j and 2\/5 + (-154)\/y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllxxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30813*m - 4*g + 4 = 30815*m, 5*g - 44 = 4*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qpppppq. Give prob of picking 1 p and 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + l**2 + l + 42. Let z be x(0). Suppose 3*d + z = -15. Let j = -17 - d. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11620 divided by 20.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 36959537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*-10.9.\nAnswer: 228.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 9:07 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 15 = 5*t, 12 = -4*t + 4*c + 40. Differentiate -4 + 13*l**2 - 3*l**3 - 20*l**2 + 7*l**t wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1987 is divided by 396.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19668 and 43076.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -87333, -87334, -87335, -87336, -87337?\nAnswer: -87338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (103 + 123 - 243 + (0 - 3 + 4)*(4 - 5 - 4))*(p - 2 + 2) to v + j*p and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -27 + (-22 - 888\/(-18)). What is the smallest value in r, 0.2, 0.4, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(99) + -1 + sqrt(99) + 2 + -3*sqrt(99)*2 + -1 + (0 + -2*(sqrt(99) - 1*sqrt(99) - sqrt(99)))*-1)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -216*a**2 + 557*a + 3711. Let n(g) = -216*g**2 + 478*g + 3713. Let w(v) = -6*f(v) + 7*n(v). Find the first derivative of w(l) wrt l.\nAnswer: -432*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 12:26 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 795202?\nAnswer: 795202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*b**2 - 16*b**4 + 10*b**2 + 3*b**4 wrt b?\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 + 43. Solve 6*s - 8*s - b = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2840)\/3976)\/(-2 + (-29)\/(-14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from {o: 2, t: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84534.\nAnswer: 2, 3, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14)\/21 + (-28)\/(-6). Suppose 2*z = -2*k + 18, k = 3*z + z + o. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 12:03 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 119880 by -18.\nAnswer: -6660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27463 by -5.\nAnswer: -27463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + q**3 + 0*q**3)*(-3*q - 3 + 3) + (4 - q**3 - 4)*(-3 + 6 - 6*q + 7*q) - 96*q**4 - 70*q**4 + 71*q**4.\nAnswer: -102*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/5800 and 119\/599720.\nAnswer: 2998600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -1\/6*d**4 - 2\/3*d**3 - 8*d**2 + 0 + 5*d. What is q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 8:28 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 202.1 + -40.1. Which is greater: 0.6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 <= 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/13)*b)**(6\/17)*b*b*b*b**(-1\/14)*b**(-40) assuming b is positive.\nAnswer: b**(-113775\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.062754571 rounded to 2 decimal places?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 14*w**2 + 35*w + 12. Let n(u) = -39*u**2 - 103*u - 35. Determine -3*n(l) - 8*v(l).\nAnswer: 5*l**2 + 29*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.64?  (a) 1  (b) 11  (c) -1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43?  (a) -2  (b) -2\/11  (c) 10.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -7*p + 37. Calculate w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 4*w**2 - 4. Let s be c(4). Let p(q) = -2*q - 2. Let z(a) = a. Let t(h) = 2*h - 2. Let l(y) = -t(y) + 4*z(y). Give s*l(j) - 5*p(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/13  (b) 14  (c) -142  (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -7. Let x = 7.15 - 0.15. Let q = x + l. What is the biggest value in -3, -2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108730 and 131000.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 at most as big as -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1044 and 34674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - ((4 - (-5 - -6)) + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2769666 is divided by 14732.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (285*j - 18 + 12 - 397*j)*(j**3 + j**3 - j**3).\nAnswer: -112*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 - 0.4. Let w = -0.1 - k. What is the nearest to w in 0.7, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1485 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0313 in 1.6, 3, 919\/7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 312 - -1043142?\nAnswer: 1044004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from osseeoeswoowooodosd. Give prob of sequence os.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tyytyttyttyyyyyyyy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 450 = -4*l - 11, -4*l - 182 = -2*z. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 817 = -13*x. Let h = x - 56. Calculate the remainder when 48 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k*k*k\/k**(-23)*k**(-1\/13) assuming k is positive.\nAnswer: k**(350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -127 or -629\/5?\nAnswer: -629\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 419.3 - 418.9. Which is the closest to -19?  (a) i  (b) 1  (c) -0.5  (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r**2 + r - 2. Let u be y(-2). Suppose x - 24 = -2*b - 2, 0 = b + 5*x - u. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 9*y + 12. Let h be s(-10). Suppose h*b + 2*b = 52. Calculate the remainder when (-225)\/(-5) - (-8)\/2 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 11*c**2 - 14*c - 21. Let a be b(-12). Let g be (-6)\/a*(-10)\/(-4). Suppose -3*u - 15 + 6 = 0. Put u, 4, g in descending order.\nAnswer: 4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 - 139046*f + 278084.\nAnswer: 2*(f - 69521)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (138\/15)\/(-2) + 5. Suppose 6 + 4 = -5*u. Put 2\/7, u, g in ascending order.\nAnswer: u, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -45316, -89658, -133998, -178336, -222672, -267006?\n\"Answer: m**2 - 44345*m - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 - (3 + -188 + -4). Solve -5*n = 32*n - v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4199697 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -480188 divided by 1904.\nAnswer: -120047\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - ((1 - 2) + (-1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4260 and 3348.\nAnswer: 1188540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/9  (b) -1\/3  (c) -5  (d) 3  (e) 91  (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h + 8. Let q be ((-32)\/12)\/(4\/(-6)). Let p(f) = q*f + 10 + 5*f + 1 + 4. Let b(w) = w**2 - 7*w + 3. Let l be b(8). Determine l*j(y) - 6*p(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + p. Let a(n) = -n**3 + n. Let k(i) = -a(i) - 2*v(i). Factor k(l).\nAnswer: l*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) 2\/11  (b) -8\/7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -15\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, w: 1, l: 3, n: 3, t: 10}. Give prob of sequence wntt.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 5 = -2*o. Suppose 5*x + 60 = -3*i, -6*x + x = 5*i + 60. Let t = x - -14. Is t <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -548241, -547824, -547405, -546984, -546561, -546136?\n\"Answer: w**2 + 414*w - 548656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23693 is divided by 4713.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53466 + -25490. Is z a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 5*x. Let p(a) = 988*a. Calculate p(l) - 182*t(l).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssyy. Give prob of sequence yys.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68288.7 millennia to years.\nAnswer: 68288700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**2 + 38*f - 106*f + 28*f + 40*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -11*f**4\/4 + 63*f**3\/2 + 397*f**2\/4 - 9*f - 119 = 0.\nAnswer: -2, -17\/11, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 489961416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -141?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 795.8616 litres?\nAnswer: 795861.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + (-219)\/(-15))\/(-6 - (-279)\/45). Do 82 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1062 and (9\/66)\/(1476\/(-1640)).\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3*h. Suppose 19*q - 45 - 50 = h. Solve -8*p = 2*l - 3*p + 35, 0 = q*p + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37644518213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-36)\/(-7))\/3*14. Suppose 5*p - 2*h - 34 = 4*p, 0 = h + 2. Suppose 5*m = -5 + p. Solve -m*g = -i + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/6 and (1\/(-24))\/(9\/(-342))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 23284950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(153) + 0 + 2*sqrt(153) - sqrt(153) - 1*(-2 + sqrt(153) + sqrt(153) + sqrt(153))) + 1)**2.\nAnswer: -168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -10*c. Let k(f) = -5932*f**2 - 4. What is k(s(m))?\nAnswer: -593200*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do 10 and -169 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**2 + 7*w**2 - 16*w**2 - 16*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -24  (b) -0.142  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/30 - 49*c**4\/24 - 4*c**3\/3 + 10*c**2. Let b be j(24). Put b, 1, 0 in ascending order.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -55*i - 69703 + 280133. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 243 - 178. Let a = y - -57. What is the remainder when a is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3588175 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.04864 + 2.08336. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 666820 and 550?\nAnswer: 3334100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1169.57 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 287, 613, 1069?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 173305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 371 = -2*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 828500 and 24000.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 8*c = -48. Let y(r) be the first derivative of r**3\/3 - 3*r**2\/2 - 14*r - 8. Let z be y(c). Solve p - z*p - 3*l = 0, 2*p - 2*l = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4613*p + 44032 = -5301*p for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -61, -6, 119 in descending order.\nAnswer: 119, -6, -18, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30535, -30686, -30887, -31138, -31439?\nAnswer: -31790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -375501, -751004, -1126513, -1502028, -1877549, -2253076?\nAnswer: -2628609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5082450)\/(-39) - (-30)\/(-130) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n. Let j(d) = -107*d + 220. Let v(r) = -214*r + 403. Let b(p) = -11*j(p) + 6*v(p). Calculate b(q(z)).\nAnswer: -535*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/10 and -115\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9768 + 29050. Does 143 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r + 121*r = -103*r - 3944 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + 15*y. Suppose 26 = k + 4. Let t(j) = -15*j + 55*j - 17*j - k*j. What is w(t(g))?\nAnswer: 2*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1978 - -2942. Let f = -639 + p. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*c**2 + 1136*c**2 + 484*c**2 + 326*c**2.\nAnswer: 1789*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(21\/(-6) + 4). Let t = v - -4\/3. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26074560*k**2 + 35868060 with respect to k.\nAnswer: 52149120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 8:51 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from eeaaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -a - 2, -4*h + 2*h + 4 = 3*a. Suppose -58 = -2*i + 3*v, -v + h*v = -5*i + 111. Calculate the common denominator of -17\/14 and (i\/(-10))\/((-3)\/9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 2*l = 3*l + 4, a + 2 = -3*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*((v*v\/v**14*v*v)\/v)\/v)\/(v*(v*v*v**(16\/11))\/v)*(v\/v**19)**(8\/7) assuming v is positive.\nAnswer: v**(-2620\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 20. Let s be (-2)\/4 + (-1)\/a. Solve 0 = 3*z - 6, s*j - 3*j + 5 = -5*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17912536500 to the nearest 1000000.\nAnswer: 17913000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (-204)\/(-54)) + (-25)\/(-9). Suppose k*r = -2*r + 20. Solve 0*s = -3*s - 2*m + 19, 0 = r*s + 4*m - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4047, 7713, 11005, 13917, 16443, 18577, 20313, 21645?\n\"Answer: -u**3 - 181*u**2 + 4216*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/302 and 41\/1725175?\nAnswer: 3450350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 5*r**2 - 27804430*r + 38654316381245 = 0.\nAnswer: 2780443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**5\/6 + 8*s**4\/3 - 12*s**3 + 11*s**2\/3 + 329*s\/6 - 49 = 0. What is s?\nAnswer: -2, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*2)\/(139\/(5282\/(-228))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-18)*(d*d*d**23*d*d)\/d)\/(d**21*d)**(-35) assuming d is positive.\nAnswer: d**815","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3517*g**3 - 15*g**2 + 10*g - 5. Let k(y) = -1758*y**3 + 9*y**2 - 6*y + 3. Determine -3*c(f) - 5*k(f).\nAnswer: -1761*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33871007 is divided by 16935496.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*r = 26*r + 160. Let m be (-4)\/14 - (-86)\/7. What is the highest common factor of m and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1\/15  (b) -12.4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n - 13*n + 3*n + n + 5*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g + 46*g**2 - 3*g - 51*g**2 + 2*g**3 - 25489.\nAnswer: 2*g**3 - 5*g**2 - 3*g - 25489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13113122 (base 4) to base 10.\nAnswer: -30170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*r - 33. Solve 3*n - 4*q = r, 3*n - q = -2*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 416*k**3 - 359798 - 348*k**3 + 359798.\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + p**2 + 1)*(0 - 1 + 3) - 1 - p**2 + 1 + (-4*p + 6*p - 4*p)*(-3 - 9*p + 1 + 23*p).\nAnswer: -27*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1131.473um in meters?\nAnswer: 0.001131473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 l when four letters picked without replacement from uhhuluhlllu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 610 by 305.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12224 = -38*b - 18*b - 135*b for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 5*z + 4*i, z + 5*i - 3*i = 12. Let f be (-6)\/z + 17997\/(-5). Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 11 = 4*x. Suppose -o + 0*o = -x. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34030, -34035, -34040?\nAnswer: -34045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.9 - -5. Let o = 24.969 - 24.569. Which is the third biggest value?  (a) o  (b) p  (c) -0.1  (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000995167 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0022321902 rounded to 6 decimal places?\nAnswer: 0.002232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j - 9*j = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -150 - -151. Let r = 4 + -6. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-632 - 510*p**2 + 632)*(15 + 2*p**2 + 5*p**3 - 15).\nAnswer: -2550*p**5 - 1020*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v + 5*v - v + 20. Let y(b) = 3*b + 5. Let i(z) = -z + 2. Let n(t) = i(t) + y(t). Let h(j) = 8*j - 49. Let c be h(4). Calculate c*n(a) + 6*u(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -157647 (base 9) to base 11.\nAnswer: -67274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 756.1647 weeks in nanoseconds?\nAnswer: 457328410560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-16)*0\/1. Suppose 4*w - 88 = -4*n, q*w - 4*n = 5*w - 108. Let r = -11 + w. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002583582046 rounded to 7 decimal places?\nAnswer: -0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 10*x - 10. Let m(i) = -i**3 + 8*i**2 - 2. Let c be m(8). Let v(t) = 3*t - 3. Calculate c*s(w) + 7*v(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -88 + 47. Let a = y + 41.0095. Round a to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1410 and 4935.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d + 21 - 66 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9595 is divided by 9570?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w - 10. Let m = -177 - -172. Let n be p(m). Let s(r) = 5*r + 4. Calculate s(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 - 226*o**2 - 6383*o\/4 - 10647\/4.\nAnswer: (o - 63)*(4*o + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 36809.\nAnswer: 110427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -3\/5, 1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 123325*m**3*p + 7*m**2*p + 1973*m*p wrt m?\nAnswer: 739950*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4984.83 times -4\nAnswer: 19939.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175397726?\nAnswer: 2, 7, 12528409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**4\/3 - 78*w**3 - 932*w**2 - 2704*w\/3 + 6144 = 0. What is w?\nAnswer: -9, -4, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 378 + 384. Solve 4\/11*k**l + 0 - 2\/11*k - 2\/11*k**3 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 312, -4, 1, -3, 2 in descending order.\nAnswer: 312, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 685923.8855 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/103488 and 35\/32?\nAnswer: 103488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-6))\/(12\/(-48)). Let d(c) be the third derivative of 0*c**4 + 2\/3*c**3 + 6*c**f + 0*c + 1\/15*c**5 + 0. Differentiate d(z) with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, b: 1, d: 12}. What is prob of sequence budd?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of -j**5\/30 + 5*j**4\/3 + 7*j**3 + 37*j**2\/2 - 153. Let a(t) be the second derivative of p(t). What is m in a(m) = 0?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -283410.4 * 0.15.\nAnswer: -42511.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2081 + 3877. What are the prime factors of k\/6*(-45)\/(-30)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (-4)\/2*(13 + (-156)\/14). Let f = 0.9 + -0.5. Which is the nearest to g?  (a) 4  (b) f  (c) 1\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f - 2. Suppose 0 = j + 5 - 2, 2*j = -3*y. Let a(o) = -10*o + 10. Determine y*a(v) + 11*u(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r + 6. Let q(t) = -t. Let m(x) = 2*q(x) - w(x). Let j(h) = 13*h + 13. Determine -4*j(d) - 9*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9057 - -9072. Let s(a) = 6*a + 5. What is s(z)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3683068 (base 10) in base 15?\nAnswer: 4cb42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65923.5 hours in microseconds?\nAnswer: 237324600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*r**6 + 131*r**2 - 5*r wrt r?\nAnswer: 2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 210?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8855 - 6271. Let j = m - 2584.010499. Let i = j - -0.0107. Round i to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010001101010010101010 + 11?\nAnswer: -10010001101010010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 612\/272*135\/(-90)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -1\/2, -75 in descending order.\nAnswer: -1\/6, -1\/2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13892)\/(-755) - 42\/2?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x + 14. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*o - 6, 9 = -2*q - o. Let p be (-4)\/q + 20\/(-21). Let s = 0.719 + -0.729. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 38 and 11846226.\nAnswer: 11846264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 8352*y**3 - 12*y**2 - 23*y - 11. Let c be j(-1). Is -8352 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42 (base 6) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2 - (-7 - -4). Let v = 125 - 125.27. Put 1\/5, v, m in descending order.\nAnswer: m, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0008744 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38170747 to the nearest integer?\nAnswer: 6178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/(22\/(-8) - -2). Suppose 0 = k - z - 17. Let n = -15 + k. Solve 4*l + n = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4*a = -8, -r + 2 = -42*a + 43*a. Suppose r = -o + 110 + 9. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-420)\/(-195) - (1 - (0 - 1))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/470 and 107\/940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 5*r - 6. Suppose 5*a = -5*f + 10, 5*a - 4*f - 22 = 4*a. Let v be i(a). Suppose -316 = -4*m - v*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 811 - 0.2?\nAnswer: 810.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216*z + 213*z - 428*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 71964.64 hours?\nAnswer: 259072704000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1022166 + -162?\nAnswer: 1022004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*d + 5*d**3 - 7*d**3 + 20*d - 5)*(-d - d + 0*d).\nAnswer: 4*d**4 + 2*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1880322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 128, 2710, 9902, 24068, 47572, 82778, 132050?\n\"Answer: 394*v**3 - 59*v**2 + v - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**5 + 617*d**4 - 272*d**2 - 2 wrt d.\nAnswer: 60*d**2 + 14808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 28, -1323, -4990, -12131, -23904, -41467, -65978?\n\"Answer: -193*v**3 + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 63*a - 48*a - 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 65*m**2 - 7*m - 175. Does 13 divide j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5a9 + -6?\nAnswer: 5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2517, 1, -5, 2, -9 in decreasing order.\nAnswer: 2517, 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-7\/4)*s\/(s\/((s\/s**(3\/5)*s)\/s)*s*s))**16 assuming s is positive.\nAnswer: s**(-268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -59 divided by 534\nAnswer: -59\/534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 0. Let c(s) = 2*s - 3. Let w be c(k). Let d = 1618 - 1621. What is the third smallest value in d, 1, 0, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 369\/(-54) - -7 - (-3610)\/12. Let o = -63 + t. List the prime factors of o.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-66)\/(-3 - -6 - (-27)\/(-6)). Suppose -i = a - 46. Let h(l) = 2*l**2 - 2*l - 1. Calculate h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1951 = 4*r, -2*r + 3*p = -1002 + 29. Solve 6*u + r - 506 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 - 3*w + 3. Let y(h) be the first derivative of -2*h**3\/3 - 2*h**2 + 4*h - 16. Determine -4*c(x) + 3*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 4*f - 42, 2*m + 2766*f = 2761*f + 44 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -102.84?\nAnswer: 41.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47 - -3. Let h = -307\/7 - z. What is the smallest value in 3\/4, h, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) -67\/4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2140757 * 146\nAnswer: 31.2550522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212 = -78*o + 80*o. Let d = o + -102. Suppose 0 = -5*g + 5*a + 475, 0 = -11*g + 6*g + d*a + 470. What is the highest common factor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand u + 0*u - 2*u - 2*u + 0*u - 4*u + (5 - 2 - 1)*(3*u - 3*u - 2*u) - u + 5*u + 0*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2546959 is divided by 165.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -5*v**2 + 4*v - 14. Let w(q) = -22*q**2 + 16*q - 62. Let d(x) = 9*k(x) - 2*w(x). Calculate d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4201 (base 8) to base 15.\nAnswer: -9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 987293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 23360429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 5*l = 0. Let d be (-4)\/(-50) - 57494\/(-4450). Solve -2*i - s - 5 = l, s - 2 + d = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(2\/29))**(-37))**(-35) assuming d is positive.\nAnswer: d**(2590\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 16*q**2 - 20*q. Calculate c(-15).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**6\/24 - 5*k**4\/24 + 7*k**2. Factor g(z).\nAnswer: 5*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + sqrt(1100)*-2)*-5 + 2)**2 + -5 + -2*(4*sqrt(1100) + sqrt(1100)).\nAnswer: 100*sqrt(11) + 27499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 7:23 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**3 + 5592*g**2 - 5211744*g + 1619115136 = 0. What is g?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**(4\/7))*y*y**(-21))\/(y*y\/(y\/y**(-4\/13)))**1)**(-4\/15) assuming y is positive.\nAnswer: y**(7324\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 + (-7 - -8 - 9). Let s(h) = h**2 + 9*h + 45. Is s(r) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 732 - 716. Solve -49*k + 45*k = l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44149 and 763147.\nAnswer: 5342029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2 + -0.2. Let n be (32\/144)\/(2\/(4\/(-2))). Which is the biggest value?  (a) n  (b) -5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1693 + 19386. Is 71 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(30) + 1*sqrt(480))*-4)\/(sqrt(100)\/((sqrt(110)*-1)\/sqrt(11))))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**4\/6 + 682*w**2. Let u(l) = 650*l. Give u(n(i)).\nAnswer: 2600*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(2\/7)))**3*(h**(-1\/2))**11 assuming h is positive.\nAnswer: h**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1458 + 13.1458. What is the second biggest value in 5, 10, u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*5\/45*(-25)\/75?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**2 - 4*a + 1. Suppose 4*f = -5*l - f + 10, l + 2*f - 1 = 0. Determine r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = -270. Suppose -3*w = 12 - y. Calculate the remainder when 75 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/(-9) - (-216832)\/99?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (1 - 6)) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 467725*j**3 - 3223099*j wrt j.\nAnswer: 2806350*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 56  (c) -2  (d) 2  (e) 3438\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**2 - 5*v + 5. Let b(p) = -2*p**2 + 3*p - 3. Determine 5*b(f) + 3*z(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 961 greater than or equal to 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 10:41 PM?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 3:22 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2 - 3 + 7*n - n**3 - 2 + 6 + 6*n**2. Let g be b(7). Suppose 0 = -g*a + 2*a + 20. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 5*l**2 + 5. Let u be g(5). Let i be u\/(-2)*8\/(-5). Let v(d) = d**2 - 6*d + 6. Let y be v(i). Do -2 and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, h: 1, i: 1, f: 5, z: 2, r: 2}. What is prob of picking 2 l and 1 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -73?  (a) 175  (b) -4  (c) 1  (d) 0.1  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2223643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/29931 and 59\/10549317.\nAnswer: 116042487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3936 and 6222570.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-2*4\/(-8)). Let u(v) = -6*v. Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 41. What is the nearest to 0.2 in h, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (54\/45)\/((-2)\/(-10)). Let z be (-2)\/2*y\/(-1). Suppose -i - w + 3 = 0, 2*i - 2*w = i + z. Solve -5*u - 5*c - 20 = 0, 0*u - 1 = -u + i*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**4\/3 + 2*z. Let m(y) = y + 1. Let i(l) = -4*l - 6. Let g(v) = -i(v) - 6*m(v). Determine g(x(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1117971330.99999942 - -1117971341. Let q = 10 - u. What is q rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19 + -26)\/((-1)\/438) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 6. Let f(k) = -k**3 + 4*k**2 + k - 4. Calculate the least common multiple of 8 and f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(((-2)\/(-33))\/(-1)). Suppose 4*j - 4*o - 52 = 0, 2*o = 2*j + j - 36. What is the remainder when 22\/a + 53\/3 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400212 is divided by 640.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(1*10\/15*-3)*-28. What is the closest to -4\/3 in -2\/7, x, 5, -2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4014 (base 7) in base 9?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2326884 + 292?\nAnswer: -2326592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -60?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224969.\nAnswer: 224969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1852 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(3\/14)\/((t**(-14)\/t)\/t))\/(t*t**17*t**36))**(2\/17) assuming t is positive.\nAnswer: t**(-529\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 25*o**2 - 1 + o - 3*o - 24*o**2. Let y be b(3). Let n(a) = a + a - a - y*a. Let m(h) = -5*h**2. Calculate n(m(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-4) + (-194)\/(-8). Let g = -130 - -718. Suppose 4*v - 2*l = 474, -5*v = -2*l - 2*l - g. What is the highest common divisor of v and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 52\/(-4) - (-8 + (-1)\/(-1)). Let g(z) = 5*z**2 + 13*z**2 - 5*z**3 - 15*z**2. Let k(v) = 16*v**3 - 10*v**2. Give a*k(n) - 20*g(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 613497 and 888.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 94171.23 days?\nAnswer: 8136394272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/4 + 1\/(-4). Let a(v) = -v + 3. Let k be a(s). Find the second derivative of 0*w - 2*w + 4*w + k*w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9283*g + 756825 = 69883 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 2*a - 1. Let h(o) = 74*o**2 + 60*o - 4. Let r(f) = -h(f) + 3*z(f). Find the second derivative of r(w) wrt w.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**3 + 84 - 3*b**2 - 84 + 3*b**2 - 13*b - 10*b**2 to the form f*b**3 + i*b + w*b**2 + x and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - m - 3)*(2 - 3 - 1)*(1 - 2 - 2)*(3*m + 3*m - m)*(1 + 6 - 2).\nAnswer: -150*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -3234, 0, 2, 9 in decreasing order.\nAnswer: 9, 2, 0, -3, -3234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.0821*0.1\nAnswer: -0.00821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 12*n - 24. Let r be w(3). Suppose 0 = r*a - 132. Solve 9 = -a*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 2) + 2 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cuu. Give prob of sequence ucu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-45)\/110)\/(26*135\/936))\/((-1)\/15).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 0 + 0*q**3 + 0*q + 0*q**4 + 1\/6*q**5 + 12*q**2. Let z(a) = -a. Calculate x(z(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 13118686 rounded to the nearest ten thousand?\nAnswer: 13120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102, -547, -982, -1407, -1822, -2227, -2622?\nAnswer: -3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136203983 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/5192 and -41\/1947?\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 57026*o**2 - 16*o + 30. Let a be -1*((-5)\/5 + -61). Let l = a - 51. Let w be x(l). Round w to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 83*z**3 + 16*z**2 - 2*z + 20. Let y be x(-6). Round y to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -23013, -46040, -69067, -92094, -115121, -138148?\n\"Answer: -23027*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -46*s - 2364. Calculate n(-45).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 2*c**2 - c. Let s(q) = -5*q**3 - 14*q + 7. Suppose 3*y + 20 = 8, 0 = t + y + 3. Let f(u) = t*s(u) - 4*v(u). Let b = 11 + -5. What is f(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + 10)*(-1)\/(-1). Let j = d - 26\/3. What is the biggest value in j, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*j**2*l**4 + 1186*j**2*l - 350782*l**4 + 268*l**2 - 18*l wrt l?\nAnswer: -384*j**2*l - 8418768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*a - m = 7, -2*m - 6 = 0. Solve a*b = -4 - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2674 is divided by 530.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, t: 5, s: 2, o: 4}. Give prob of picking 1 o and 1 p.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times -50.3?\nAnswer: 352.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27175336.\nAnswer: 2, 3396917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14139, 14130, 14119, 14106, 14091, 14074, 14055?\n\"Answer: -q**2 - 6*q + 14146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n - 643 - 221 = -33*n. Solve 0 = n*l - 14*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72502612 to the power of 1\/2, to the nearest integer?\nAnswer: 8515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 74*u - 449. What is k(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 10:31 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -194 + 191. Let l be (2 + (3 - 4))\/3. Which is the closest to l?  (a) k  (b) -4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24255162 + -4?\nAnswer: 24255156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(6\/19)*n**(-1\/2))**(-50))**(15\/2))**(1\/24) assuming n is positive.\nAnswer: n**(875\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 + 135 = -31*i - 128 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -130.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 2913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, n: 2, q: 2, r: 6}. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 5:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8841.4254s in days?\nAnswer: 0.1023313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11011 - 11008 - (-1 - -18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/6 and -85\/1432?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 791.48 to zero dps.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.9 - -1.1. Let m = -0.05 - -0.25. Let u = 2.04 + -0.04. What is the closest to u in -4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.21, 0.5, -1, -3 in decreasing order.\nAnswer: 0.5, -0.21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3932\/(-8) - (-2)\/4. Let m = 350 + n. Is (-2)\/10 - m\/5 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -38, -4, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 179 - 167. List the prime factors of c.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9839217 - 16168.\nAnswer: 9823049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17.4 + 18.4. What is the third biggest value in 0.2, 0, b, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1331 or -1329?\nAnswer: -1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-148)\/(-15207)*((-2584)\/1520 - (0 + 1\/(-5)))?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196763 and 252981?\nAnswer: 1770867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 90545.34ms?\nAnswer: 90545340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(63)\/((sqrt(9) - sqrt(1089)*5) + sqrt(9)).\nAnswer: -6*sqrt(7)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 AM and 3:04 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by 20562.\nAnswer: -8\/10281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 14916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -122531 (base 6) to base 7\nAnswer: -44032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3076 - 1776. Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 123405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 10011 (base 2) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5365 - -1684. Let u = v + -4798. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 265005 and 3268395?\nAnswer: 9805185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r - 7. Let v be (-156)\/(-15) - 6\/15. What is the smallest common multiple of 5 and i(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.8 and 18488.\nAnswer: -181182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 199027*o**4*u**2 - 2*o**4*u + 2799*u**2 + 4*u - 6 with respect to o.\nAnswer: 796108*o**3*u**2 - 8*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.31 and 8687336?\nAnswer: -11380410.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 2*x + 5. Give k(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.246248 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1, -0.2, 6\/47, 0.3, -0.1?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 2*d - 6*d - 2*d - d in the form g*d + r and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1634 + -1625. Solve 3*z - 6 + g = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/81)\/((-328)\/(-492)) + 707\/126?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 191, 383, 575?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u + 102. Let i = -219 + 185. Let s be o(i). Solve s = 4*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0766 and 2865.\nAnswer: 2864.9234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d**3*t*v - 14*d**3*v**2 - 8*d**2*k**2*t*v**2 + 3*d**2*k**2*t*v - 2*k**2*t*v + 2*k*t wrt v.\nAnswer: -28*d**3 - 16*d**2*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -12, -1, 9, -7 in increasing order.\nAnswer: -12, -7, -5, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 3692*c + 1 - 3692*c. Let d(h) = -5*h**2. Give u(d(i)).\nAnswer: -25*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -1476, -5482, -13358, -26394?\nAnswer: -45880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and 26?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, h: 2, f: 1, b: 4, i: 1}. What is prob of picking 3 b and 1 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 319779 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*l + 1164*j - 1079*l with respect to j.\nAnswer: l + 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 252 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 23\/5, 1, 2\/7, 383, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s - 244 + 10*s - s**2 - 9*s.\nAnswer: -s**2 + 9*s - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, 0.5, -3, -0.3 in decreasing order.\nAnswer: 0.5, -0.3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - t**2 + 4*t. Let b be p(-3). Let q = 49 + -28. Suppose 22*o - 5 = q*o. Solve b = o*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 89*g*m**4 - 17*g*m**3 + 15*g + 4*m**4 + 224*m**2 - 2*m wrt m?\nAnswer: 2136*g*m - 102*g + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 61  (b) 1  (c) -94  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/24 and -85\/1992.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 240 divide 11170550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1277 + 1277. Is a >= -3\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*y**3 - 641 + 1687 - 522 + 9*y**3 - 524.\nAnswer: 87*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from teddedetko?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -18236.6 and 462.4.\nAnswer: -17774.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -o**3\/3 - o**2\/2 + o - 57. Let i(f) = 2*f**3 - 3*f + 5. Determine -i(z) + 3*q(z).\nAnswer: -2*z**3 - 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 26*2.1505\nAnswer: 55.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3533?  (a) -1\/3  (b) 48  (c) 3\/4  (d) 0  (e) -1  (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2. Let m(d) = 608*d + 114. Let s(v) = 6*v - 1. Let h(c) = m(c) + 114*s(c). Give h(z(j)).\nAnswer: 1292*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 168*f**2 + 192*f - 93\/4*f**3 + 3\/4*f**4.\nAnswer: 3*f*(f - 16)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3733564 and 94272?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)*v*v)**(14\/9)*v*v**(-2\/21)*v**1*(v\/v**1*v**8\/v)\/((v\/((v\/(((v\/v**(-1))\/v)\/v*v))\/v))\/v*v**(-2\/15)) assuming v is positive.\nAnswer: v**(844\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 3\/(-1 - 5\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30518679*z**3 - 11843*z**2 - 8350 wrt z.\nAnswer: 183112074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 41. Let s(b) = 276*b**2 - 2681*b. Give s(u(p)).\nAnswer: 276*p**4 - 25313*p**2 + 573877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-248)\/713*(-69)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/18 - (-148)\/(-18). Let k = -5 - q. What is the third derivative of -g - 4*g**2 + 2*g**3 + 0*g**k + g wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of l**3\/3 + 3*l**2 + 5*l + 4. Let x be h(-6). Let t be ((-3)\/x)\/((-5)\/(-25)). Sort 3, t, -4 in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4283979 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 1461*z**2. Let r(x) = -2*x. Give n(r(i)).\nAnswer: 5844*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -118351*n + 118227*n - 1736 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -1.9332?\nAnswer: -2.9332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80997 (base 11) to base 7.\nAnswer: 1001652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -5*o**2 + 924*o - 205. Give m(0).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {s: 4, q: 2, j: 4, u: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/7, -4153, 1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - 4*c - 7. Let r be s(6). Let d(i) = -4 - r*i + 4*i - 2*i. Let u = -7595 + 7592. Determine d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-144)*-8*8\/102?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 218844181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -75, -93, -135, -213, -339, -525, -783, -1125?\n\"Answer: -2*d**3 - 4*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -141, -459, -1067, -2061, -3537, -5591?\nAnswer: -8319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 5*f - 258 = 42*m, -7*m = -12*m - 4*f - 34 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2608889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from zzgjg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4135 + -4127. Solve -3*q + 4*o = -5, 0 = 5*q - 5*o - z - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-26)\/6)\/(2\/(-6)). Suppose 0 = 3*a + 4 - o. Solve -3*k - t - 1 = -0*k, -13 = -k + a*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 310 - 33202101212?\nAnswer: -33202100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/24157 and -22\/26129?\nAnswer: 1280321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**2 - 5*k - 2. Let x(w) = w**3 - 5*w**2 - 11*w - 4. Calculate 5*l(o) - 2*x(o).\nAnswer: -2*o**3 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + j - 1. Let f(h) = -9*h**2 - 9*h + 7. Let u(r) = 26*r**2 + 26*r - 20. Let y(b) = -8*f(b) - 3*u(b). Calculate -4*m(s) - y(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 32112220 (base 4) to base 12\nAnswer: 2a034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-21 + 24)\/(2 + 0). Sort 2\/3, -5, 0.2, l in ascending order.\nAnswer: -5, 0.2, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13171 (base 9) in base 15?\nAnswer: 297d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + 12*u + 32. Let f be 4\/(((-20)\/25)\/2). Calculate the lowest common multiple of c(f) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipk when three letters picked without replacement from krappapip?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3400*h - 3400*h + 7 - 28*h**4 with respect to h.\nAnswer: -112*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0851 and 1290260680.\nAnswer: 1290260680.0851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9846, 9952, 10190, 10632, 11350, 12416, 13902, 15880?\n\"Answer: 12*h**3 - 6*h**2 + 40*h + 9800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 4*i - 17. List the prime factors of p(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 5*b - 26220 + 26210 = 0, -3*b = -8*b - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -3 in increasing order.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 84\/(-210)*(-1)\/1. Let q = -0.49 - -0.32. Let w = q - -0.22. Put -4, w, m in descending order.\nAnswer: m, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -294, -411, -504, -567, -594, -579?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 + 106264274815.\nAnswer: 106264274856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11.449 - -11.9257. What is i rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 19765 = -x + 41852, 0 = 2*m + 4*x - 41088. Suppose 12*k - m = 18570. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2434.27 micrometers in meters?\nAnswer: 0.00243427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1350904 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s**2 + 3*s - 3. Let g = 1 - -7. Suppose 0 = 3*z - g*n + 4*n - 103, 0 = 3*n + 12. What is the remainder when z is divided by y(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-10) + 8\/(-10))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**3 + 11*l**2 - 6*l + 4. Let g be c(-6). What is the first derivative of -19*k**g + 5 + 8 + 7*k**4 wrt k?\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -211*z - 270*z - 4 + 440*z + 2*z**2 as h*z**2 + d + r*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, c: 12}. Give prob of picking 1 c and 1 a.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5754.\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3608 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 57023570 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237260333.\nAnswer: 67, 3541199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2 = 4*d - 0*c, c = 4*d - 10. Let i(g) = d*g**2 + g**3 + 0 + 2 + 3*g**2 - 4*g. Give i(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14102305, -14102315, -14102323, -14102323, -14102309, -14102275, -14102215, -14102123?\nAnswer: -14101993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1120 + 1119.98086. What is a rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5970150 or 5970148?\nAnswer: 5970148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -360*m**2 - 455*m**2 - 2 + 2.\nAnswer: -815*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1349 or 23.8?\nAnswer: -1349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of h**3\/3 + 2005. Let o(r) = -96*r - 3. Calculate y(o(v)).\nAnswer: 9216*v**2 + 576*v + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1107 + 1168. Let z be (723\/(-482))\/(-1 - l\/(-64)). Let o be (-2)\/2 + (-706)\/(-2). What is the highest common divisor of z and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 2*y - 80. Determine d(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 greater than or equal to -0.0435174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 + 3 = 0. Let y be (0 + a)\/(-2) + 1. What is the first derivative of 0 + n**2 + 0*n**y + 1 wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -762 divided by 762.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2062 - 2062.000442. Round n to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.055 - 0.055. Which is the third smallest value?  (a) -2\/7  (b) -0.4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1769, 10, -4, -2, 5, 0, 4 in decreasing order.\nAnswer: 10, 5, 4, 0, -2, -4, -1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 46 = -2*j. Let h be ((6 - 20)\/7)\/((-5)\/5). Solve a + 5*i = -j, -3*i - 20 = h*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-148)\/40 + 105\/(-350). Let s(v) = -2*v + 1. Let h(x) = 3*x - 3. Determine z*h(c) - 7*s(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 4 + 4)*(-z**4 + 4*z**4 + 4*z**4) - z**4 - 6*z**4 + 2*z**4 as x + l*z**4 + v*z**3 + u*z**2 + j*z and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 - 15. Let n = -7 + y. Suppose 28 = n*g + 3*z + z, -4*z = 5*g - 35. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/(-5) + (-120)\/(-25) + -5. Let a be y\/3 + (-60)\/(-45). Let s = -124 - -125. What is the closest to s in a, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/6*-10000*180. What is v rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 3*f - 16 = 0. Suppose -5*b - o + 103 = 0, 0 = -2*b - 0*o - f*o + 46. Let h be (-405)\/6*(-16)\/6. What is the highest common divisor of b and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 2\/6 - 3)*((-210)\/(-35) + 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**6\/60 + 7*o**5\/10 + 24*o**3 - 29*o**2. Find the first derivative of f(w) wrt w.\nAnswer: -6*w**2 + 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.7056994 grams?\nAnswer: 0.0000007056994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**2 - q - 2. Let k be j(2). Let m(c) = -c**2 + 2*c - 2. Let g be m(4). Let a be g\/(-3)*(-18)\/(-15). Solve a*d + o = -11, 4*o + k = 4*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 285124.319 - 2625.219. Let v = g + -282497.30000018. Let b = 1.8 - v. Round b to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19303 + -13643. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -24. Solve -w = w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*l - 23044 = -801*l + l + 26156 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 742*v - 15037. Determine z(20).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*t - 12*t - 3. Suppose t*z = 15 - 6. Suppose 5*m = 5*i + 10, 1 = -4*m - 5*i - 9. Solve m = -z*p - 2*o - 2, -7*p + 2*p - 3*o - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 15. Let c be (-10)\/(-5) - ((-7)\/(-3) + -1). What is the closest to -0.1 in c, d, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2*(-161)\/28)\/(1\/22). Let t = -19 + r. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 640564517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -289003*-277.\nAnswer: 80053831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 766 is divided by 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 7) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -129*s + 16. Let y be r(-15). Suppose 0*h = 5*h + w - 2425, y = 4*h + 3*w. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 189*h**3 + 0 - 177*h**3 - 5 + 2 as r + w*h + k*h**2 + x*h**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 36\/4158*-7. Which is the closest to 1\/4?  (a) 1  (b) 3\/8  (c) 4\/5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwrkskhrrwrskwhkrksr. What is prob of picking 2 r?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -y - 20. Let z(k) = -2*k**3 - k**2 + k - 1. Let u be z(y). Let o be u\/1 + (-250)\/(-5). What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -646134 bigger than -5815204\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 33*p - 42. Let v(j) = -2*j + 2. Let o(r) = d(r) + 21*v(r). Let n(y) = 87*y**2 - 8. Let c(l) = 29*l**2 - 3. Let a(x) = 8*c(x) - 3*n(x). Give o(a(g)).\nAnswer: 261*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 6:50 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2539, -3552, -4495, -5332, -6027, -6544, -6847?\nAnswer: -6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1016 + 1079. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1656 divided by 19\nAnswer: 1656\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -9 + (-5)\/(-15)*-219. Let o = 86 + q. Solve o*r = 3*m - 4 - 0, 2*r + m = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14341203 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 43?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -626 and 917 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, e: 4}. Give prob of picking 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**8\/784 - 3*u**7\/245 - 3*u**6\/280 + 13*u**5\/70 + 3*u**4\/7 - 251*u**2. Let j(y) = 0. Calculate y.\nAnswer: -4, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/5  (b) -0.016551  (c) 1\/4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -307 + j**2 - 3*j**2 + 318 - 3*j**3 in the form x + t*j**2 + z*j + l*j**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*p**2 - 6*p**3 - 3 - 3 + 8 - 35*p**2 + 14*p**2 to l*p**3 + o + f*p**2 + q*p and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-5) - (4 - 126\/15). What is the hundreds digit of (2\/s)\/((-11)\/(-9988))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2365109758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -g - 0*g + 28, 3*g + 4 = 2*i. Suppose 21*c = 19*c + i. Solve 0 = -c*t - 3*l + 5, 2*t + 3*l + 1 = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (2 + 20)) + -1 + 582 + -572\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*h - 2044836 = -761271, 4*w = 5*h + 1026879. Let u = 44668447\/174 - w. What is the common denominator of -5\/12 and u?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -166 divided by 680\nAnswer: -83\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 751 (base 15) in base 14?\nAnswer: 85d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 601 - 418. Let n = y - 182.9. Which is the closest to n?  (a) 3.3  (b) 1\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-2*sqrt(2) + sqrt(2) - (2*sqrt(128) - sqrt(128) - sqrt(2)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g = -2*l - 114, 0 = 4*l - 161*g + 155*g + 356 for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -7.00184. Round p to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/2376 and 43\/4447872.\nAnswer: 4447872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1.5, 3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -z**7\/168 - 47*z**6\/6 - 147423*z**5\/40 - 7739551*z**4\/12 - 30664297*z**3\/24 - 3280*z. What is a in o(a) = 0?\nAnswer: -313, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.873134 centuries in months?\nAnswer: 4647.7608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 11*q**2 - 31*q + 547. What are the prime factors of f(37)?\nAnswer: 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1\/5))\/(k\/k**(1\/4)))**(-38)*k\/(k**(-2)*k)*((k\/(k\/((k\/(k\/(k*k**(-5)*k)))\/k)))\/k)\/k*(k\/(k\/k**(-2\/5)))**(2\/53) assuming k is positive.\nAnswer: k**(-627\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -63 - -79. Let i = -6 - -8. Suppose -i*v + b = -v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -29, -53, -85, -131, -197?\n\"Answer: -j**3 + 2*j**2 - 23*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2064 - -109. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/47)*r*r\/(((r\/((r\/(r*r**(2\/11)))\/r))\/r)\/r*r*r*r*r) assuming r is positive.\nAnswer: r**(-1106\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 8.3. Let s = 1.6 - 1.5. Which is the nearest to s?  (a) z  (b) -3  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 1.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/18)\/(3\/(-9)). Let r(d) be the first derivative of 0*d + 0*d**3 + z*d**2 + 4 + 3\/4*d**4. Find the second derivative of r(f) wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.98 - -0.32. Let d = 0.3 - p. What is the smallest value in d, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 times -318086?\nAnswer: 2862774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2318 + -2317.9999992266. What is s rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ogkggkkokkgko. Give prob of sequence kog.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -1459*o - 10222. Determine a(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -9*r**4 + 63*r**3 - 95*r - 5. Let n(o) = 5*o**4 - 31*o**3 + 48*o + 3. Let x(t) = 5*n(t) + 3*u(t). What is the second derivative of x(v) wrt v?\nAnswer: -24*v**2 + 204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05816268 to four decimal places.\nAnswer: 0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 95*x. Let y(n) be the second derivative of -n**3\/6 + n - 32. Determine y(k(m)).\nAnswer: -95*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - b**2 - 5*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(4\/3 - (-10)\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 9, r: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/49 greater than 7002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -1957*j + 1899. Is v(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d + 14 = 0. Let u = d + -4. Factor 12*q**4 + 3*q**5 - 36*q - 2*q**3 + 12 + 33*q**2 - q**u + 5*q**4 - 26*q**4.\nAnswer: 3*(q - 2)*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k - 6 - 2 - 2 in the form q*k + x and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 26. Suppose -o + 250 = 2*f - 6*f, -4*o - 8 = 0. Let h be ((f\/(-2))\/(-9))\/((-1)\/4). Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 9398.132 millilitres to litres.\nAnswer: 9.398132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2)\/(1\/1) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s - 1. Let p(u) = -u**2 + 6*u - 7. Let y be p(4). Let m(r) = 18*r - 45. Let o(w) = y*m(w) - 3*l(w). What is the first derivative of o(c) wrt c?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 + 41*y**2 + 277*y + 235.\nAnswer: -(y - 47)*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 660*g**2*k**2*s + 2*g**2*k**2 - 2*g**2*k + 5*g**2*s + 4*g - 3*k**2 wrt s.\nAnswer: 660*g**2*k**2 + 5*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 385*q - 11*q**2 - 875*q + 335*q)*(1 + 3 - 6) in the form r*q + b*q**2 + d and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*2*(((sqrt(3) + 1 + 2*sqrt(3) + (sqrt(3) - sqrt(297)\/sqrt(11)) + sqrt(3))*2)**2 + sqrt(363)*2*-6 + 2*(sqrt(363) + 1)).\nAnswer: -108 + 188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 2, 317460, 4, 0, 3 in ascending order.\nAnswer: -24, 0, 2, 3, 4, 317460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 27*w**2 + 19389*w - 543676. Give o(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 2:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 193*h + 20 = 188*h, 0 = -5*v - h - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1301183\/576 - 2259. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 10*z**2 + 10*z - 7. Let x be i(9). Suppose 5*m = -x*y - 112 + 8, y = 4*m + 78. Let d = 28 + m. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of j**3\/6 - 7855*j**2. Let v(m) be the first derivative of -m**2 - 4*m + 1. Calculate -v(g) - 5*w(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {i: 7, y: 1, n: 1, h: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q**(-2\/3)\/q))**(-49)*(q**(2\/7)*q)\/q*q**1)\/((q**(-1\/3))**35)**(-18\/11) assuming q is positive.\nAnswer: q**(-45616\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17398 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-14) + (-256)\/(-56) + 1. Let z(m) = -m**3 + 7*m**2 - 10*m + 30. What is the lowest common multiple of 138 and z(s)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(-45)*(-20)\/(-112)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127.18 - -82.2. What is x rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2033303+-14\nAnswer: -2033317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**3 + 78*p**2 - 3039*p - 118506. Calculate t(-39).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 142523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**2)**(1\/53))**(-2\/97)*((v*v*v**1\/v)\/(((v**(-1\/6)\/v)\/v*v)\/v))**4 assuming v is positive.\nAnswer: v**(257038\/15423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 31a1 (base 13) in base 3?\nAnswer: 100110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 7, v: 2, d: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 4:59 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 242  (b) -11  (c) -16  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 - 3)\/((-1)\/2). Let i = -16 + z. Find the third derivative of 2*q**6 + 2*q**i - 37*q**2 + 35*q**2 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8498 and 4634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12511\/138 + -172\/69. Let o = 88 - l. Which is the third biggest value?  (a) o  (b) -0.1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 62, -16, 4 in decreasing order.\nAnswer: 62, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q + 20. Let k(p) = -7*p + 9*p + 19 + 13*p + 14*p - 32*p. What is -6*k(l) + 5*m(l)?\nAnswer: -2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 2\/3  (b) 1\/3  (c) -3\/5  (d) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1076.89 + -1145.2. Let l = 68 + o. Let x = -0.333 - l. What is x rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c3 (base 13) to base 4.\nAnswer: 13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -683*q**3 + 998*q**3 + 5 + 2565*q**3.\nAnswer: 2880*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -65, -268, -607, -1082, -1693?\n\"Answer: -68*d**2 + d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 338424653 and 4385?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1395*3.\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/4321419 + 10905825443\/9420693420. Let d = -5\/654 + s. Calculate the common denominator of d and -65\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 841222109 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-120)\/(-70) - 2\/(-7). Solve 2*w = -8 - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1881443 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10389202.\nAnswer: 2, 5194601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145 = -35*w - 65 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -108826 + 3316\nAnswer: -105510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and -47579?\nAnswer: 47582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.820564 litres?\nAnswer: 3820.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2384, -4790, -7202, -9620, -12044, -14474?\n\"Answer: -3*a**2 - 2397*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115\/(22425\/(-78))*2\/(2\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o + 3. Let c be y(5). Suppose 166 = 8*k + c. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b2 (base 15) in base 10?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - c615?\nAnswer: -c616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 4:09 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uoxo when four letters picked without replacement from {o: 5, x: 2, u: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -59*u. Let d(h) = 3 - 3 + 277*h + 311*h. Let t(k) = 42*a(k) + 4*d(k). Let w(z) = 2*z. Calculate t(w(m)).\nAnswer: -252*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -19\/3*c**3 + 0*c + 0*c**6 + 0*c**2 + 0*c**4 + 0*c**5 + 23 - 5\/7*c**7. What is the third derivative of i(n) wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4434970*c**2*q**5 - 3*c**2*q**2 + 64*c**2 + 4*c*q**4 + 12892*q**2 - q wrt q?\nAnswer: -266098200*c**2*q**2 + 96*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 0.4  (c) 37703  (d) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttiiitittiittuttui. Give prob of sequence ttut.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 3*t**4\/4 + t**3\/6 + 38*t - 85. Let h(w) be the first derivative of k(w). Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10544 divided by 4\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -64*l + 200. Determine b(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/l**(-1\/83))\/l)\/(l*l**(-1\/11)))**(5\/13))**28 assuming l is positive.\nAnswer: l**(-8820\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 + 1 - 523*o - 2.\nAnswer: -523*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.44 + 0.04. Let y be (3 + -1)*1 - 0. Let z = 2108 - 2105. Which is the nearest to z?  (a) y  (b) k  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b. Let f be n(1). Suppose -4*w + 6*w - 15 = 3*t, f*t + 10 = -w. Suppose y + w = 7. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2253503 + -3.205?\nAnswer: 2253499.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*i**4 + 4*i**3 + 25*i**2 - 2?\nAnswer: 432*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.782 - -57.782. Which is the closest to t?  (a) -2  (b) -2\/23  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 14) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l = -2*l + 116. Solve l*i + 8 = 5*h - 13, 0 = -5*i - 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12846 divided by -12846\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1924 + -5626\/3. Let p = l - 448\/9. What is the common denominator of 145\/6 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*r - 678989 - 68875 = 63*r. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 11*q + 21. Let n be s(2). Suppose -8 + 14 = n*x. Solve x*l - 6*l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -214*j - 8. Let w(b) = 141*b + 5. Let f(t) = -5*h(t) - 8*w(t). Let u(x) = x. What is f(u(i))?\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 49769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 843 - 847. Which is the nearest to -2\/11?  (a) 3\/5  (b) z  (c) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 200846448 and 1.\nAnswer: 200846448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -3*u**5\/80 - 19*u**4\/48 - 2*u**3\/3 + 5*u**2\/2 + 40*u. Suppose z(j) = 0. Calculate j.\nAnswer: -5, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 665 = -246*x + 281*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.49999647 + -19.5. Round v to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3072272, 3072269, 3072264, 3072257, 3072248, 3072237?\nAnswer: 3072224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0 - 4 = 0. Suppose 4*j - 8 = g. Let l = 24 - 15. Solve l = j*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -588 divided by -2\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 80*p - 377. Calculate i(76).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1199 = 516*l + 121 - 470 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7380.046um in centimeters?\nAnswer: 0.7380046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 30*g**2 - 86*g - 707. Calculate x(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10343*a + 210 - 118 - 92 + (3*a - a - 3*a)*(3 + 4 - 5) + 4*a - 3*a - 2*a to the form f*a + g and give f.\nAnswer: -10346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 7*u + 1. Let r be d(2). Let c(a) = 5*a**2 - 2*a - 1. Let n = -102 + 104. Let s be c(n). Solve -3*v - s = -b, 0*b = -b - 3*v - r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338 = 3*o - 5*o + 66*d, 0*d - 15 = -11*d + 8*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 18 + 6 = 2*s, -2*m - 3*s - 24 = 0. Let y be 1726\/m*52\/39. Let g = -192 - y. Put -1, g, 0.4 in decreasing order.\nAnswer: 0.4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3*(-1737)\/(-17370))\/(-2*(-26)\/(-72))?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**3 + 14*g**2 - 16*g + 29. Let t be d(6). Let x = -0.06 - -4.06. Which is the biggest value?  (a) t  (b) x  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5*m - 38 + 6)*(2 - 3 - 1)*(-4*m + m + 0*m + 0*m + 2*m - m + (-2 + 1 + 2)*(5 + 2*m - 5) + 3*m + 3*m - 2*m).\nAnswer: 40*m**2 + 248*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) -0.5  (c) 5  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2958 = 23*n - 21*n - 4*f, -5*n - 2*f + 7323 = 0. Calculate the highest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 33*w + 0 + 1 to the form z*w + v and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.5 and 9023.\nAnswer: 40603.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -0*i - 2*i - t, 4*i + 4 = -4*t. Suppose -q - 100 = -c, q + i + 0 = 0. Suppose -5*d + 19 = -c. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 78*p**3 + p**2 + 2*p + 2. Let v be q(-1). Let x be 1\/(-1) - v\/7. Sort -5, 4, x.\nAnswer: -5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + 0 - 2*2. Let g = 3357 + -3355. Sort d, g, -5\/3 in decreasing order.\nAnswer: g, -5\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 24*r - 672*r - 169*r.\nAnswer: -817*r + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 6, -4\/7, -0.8, -0.03 in descending order.\nAnswer: 14, 6, -0.03, -4\/7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-9))\/(-1 + 377\/351) + 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, h: 1, y: 1, p: 2, x: 1, l: 2}. Give prob of picking 1 p, 1 l, 1 h, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20220 - 11332?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*v**4 - 15*v**2 + 2*v**3 + 30*v**4 + 2*v**2 + 22*v**4 as c*v**4 + f*v**2 + u + m*v**3 + d*v and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2418 + -2417. Sort l, 89, -4 in descending order.\nAnswer: 89, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 117 + -115. Suppose 0 = -0*p - j*p + 242. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -183, 2\/3, 3\/5, 3.996?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 179, 12, -17, -23 in increasing order.\nAnswer: -23, -17, -3, 12, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (88\/33)\/(4\/6). Suppose 0*i = -3*r - 3*i, -7 = -3*r + x*i. Is r at least -5\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*d - 219 = -1736, 3*d = -y + 1516. Let z = y - 1043. Is (-1)\/(2 - z\/236) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 424\/(-20)*(-10 - 165\/22). What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 916 - 61372?\nAnswer: -60456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 58905 divided by -765?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -5*m**3\/6 - 21*m**2\/2 + 569*m. Suppose p + 2 = -2. Let l be y(p). Which is the nearest to -1\/3?  (a) 0.5  (b) 0  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**2 + 29*r + 106. What is o(-10)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -441248, -882510, -1323772?\n\"Answer: -441262*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j**2 + 0*j**2 - j**2 + 6*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.00599 and -0.1403.\nAnswer: -0.000840397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-39) + 50\/(-13). Let d = 98 - 95. Let j(o) = 6*o - 1. Let i(p) = 7*p - 1. Let z(l) = d*i(l) + y*j(l). Give z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -38 and -6161884032?\nAnswer: 6161883994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4*w - 60, w - 39 = -3*w + 3*c. What is the smallest common multiple of (3\/(-2))\/(45\/(-780)) and w?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 334762505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-25)\/(-10) + (-51)\/(-2). Let s = b - -8. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {f: 8, a: 5, r: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 114583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5315812558 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68375?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61428531 to the nearest integer?\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-235 - -263) + -2 + -13 - (38 + 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 880055 is divided by 719?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 5*h**2 + 48*h + 12. Let w be d(5). Let k(m) = m**2 + 2*m + 4. Let z(t) = -2*t**2. Let x be z(-1). Let a be k(x). Solve -10 = w*l - a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1477175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 26*a**2 + 24*a - 84. Let b be w(-27). Let n be (1 - -3) + 1*(b + 2). Solve 0*u + 9 = n*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/42 and 61\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*11584.\nAnswer: 46336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*j + 48 = j, -4 = j. Suppose 3*l = -l - p. Let i = -6 - l. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231 and 44583.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6205079*w**5 - 121*w**2 - 3078 wrt w?\nAnswer: 372304740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9 + 1)\/(((-25)\/(-6))\/25). What is the first derivative of -j + 3283*d + 16 - 3325*d wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 790811311?\nAnswer: 151, 269, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -261*v + 6064 - 6064 - 265*v**3 wrt v?\nAnswer: -1590*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**4\/7 - 80*u**3\/7 - 556*u**2\/7 - 1488*u\/7 - 144 = 0.\nAnswer: -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -137360210 divided by 2?\nAnswer: -68680105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/47?  (a) -53  (b) -0.2  (c) 2323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 + w**3 - 3*w**2)*(-2*w**2 - 2*w**2 + 2*w**2) - 3 + 10*w**5 - 40*w**5 + 1.\nAnswer: -32*w**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*v - 3)*(11 + 4*v - 11)*(-95*v + 71*v + 67*v).\nAnswer: 344*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**25)\/v*v)\/v**(-10) assuming v is positive.\nAnswer: v**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, -18, 3, 117, -1\/4, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g + 1. Let j be x(-1). Find the third derivative of -65*d - 7*d**6 + d**j + 65*d wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 34*g**2 + 25\/24*g**4 + 0*g + 0*g**3 + 13\/30*g**5 + 0. Find the second derivative of j(x) wrt x.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 11*u**2 - 10*u - 24. Let y be t(12). Solve 5*r + x - 28 = 0, 2*r - 3*r + 4*x - 7 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2235 + 6*f**3 + 2235.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -48*a + 2. Does 16 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(95)*-2 - sqrt(95)) - -4*sqrt(95)*2)\/(2*sqrt(80) - ((sqrt(405) - (sqrt(405) - (sqrt(405)*5 - sqrt(405)))) + sqrt(405) - sqrt(405))).\nAnswer: -5*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**4 + x**3 - 26 + 3*x - 6*x + 3*x + 27 + 277*x**2 as m*x**3 + c*x**2 + g + i*x**4 + d*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 154 - 151.5. Let d = r + 1.5. Sort d, 7, -4\/3 in increasing order.\nAnswer: -4\/3, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 360\/943, 0.02, -0.4, 12.\nAnswer: -0.4, 0.02, 360\/943, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379386770.\nAnswer: 2, 5, 7, 5419811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 18. Let o(b) = -93*b + 77. Give -o(z) + 5*t(z).\nAnswer: 93*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/6 + -1)\/(10\/(-30)). Suppose -6*b = -o*b - 628. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -g**4\/60 - 278*g**3\/15 + 557*g**2\/10 - 65*g + 8. Factor a(i).\nAnswer: -(i - 1)*(i + 557)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -41*m + 195. Let y be a(5). Put -5, y, -0.2, 0 in increasing order.\nAnswer: y, -5, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105.899 - 106. What is d rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-7) + (1 - 1). Do n and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/4*16\/(-10). Let g be 2\/(-8)*m*-2. Let a(x) = 21*x**2 - 2*x + 2. What is the tens digit of a(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.08193739 - -5677.7?\nAnswer: 5722.78193739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109 + -55 + -104 - -28.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6443*l**4 + 3*l**2 + l + 10550 wrt l?\nAnswer: -25772*l**3 + 6*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4360*m**3 + 172*m**2 + 4. Let o(u) = 4364*u**3 - 174*u**2 - u - 3. Let v(c) = -3*h(c) - 4*o(c). What is the third derivative of v(t) wrt t?\nAnswer: -26256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -38 and -7?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(((c\/c**17)\/c)\/c))**(1\/46) assuming c is positive.\nAnswer: c**(19\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/5*-6)\/((-192)\/640)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 2*z + 3. Let p be w(-3). Suppose p = 5*k + r - 147, 4*r + 42 = 2*k - k. Solve -4*v = i + 16, v + v - 5*i = -k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-36792))\/(529\/19044).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4 = 0, 0 = -2*y + 3*t + 40 + 12. Suppose 0 = -4*j + y. Solve -j - 15 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*f - 4 = 0, -5*b + 21 = -4*b - 4*f. Suppose 0*a + 110 = b*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 3*132\/55?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -182, -1\/5, 33, -4, -1\/4 in increasing order.\nAnswer: -182, -4, -1\/4, -1\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 151008866, 151008844, 151008820, 151008794, 151008766?\nAnswer: 151008736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212*o - 1615 = -25*o - 193 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzyzyzzzzyzzzzy. What is prob of picking 1 z and 2 y?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 336 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f + 2. Let o be a(-4). Let r(n) be the first derivative of -n**4\/2 - n**3 - n**2 - 2*n + 92. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5513709 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -73 + 135. Let p = x - 35. Let k = -19 + p. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + -2)*3 - sqrt(72).\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 11*r**2 - 42*r + 2. Suppose 45 = 5*x - 5*g, 0 = -4*x - g + 61 - 0. Let z be v(x). Solve -z*y + 3*c - 4 = 4*c, y + 2*c - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/5, -0.3, -1, 44 in decreasing order.\nAnswer: 44, 14\/5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/6*-6*(-6)\/(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 101, 155, 211, 269, 329?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -1\/6  (c) -12.1  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -178  (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/((-363)\/864) - (96\/88)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366477 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 4*c**2 - 2*c. Let t = -26 - -20. Suppose 0 = u + f + 7, 2*u - 2*f = -0*u + 6. Let x(z) = -z**2 + z. Calculate t*x(k) + u*l(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339048?\nAnswer: 2, 3, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*y - 7 = -y, -t + 2*y + 13 = 0. Let w(s) = 12*s**2 - 9*s. Let g(h) = -h**2 + h. Give t*g(n) + w(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 = -3*o + 9*c + 46, 3*c = -o + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 - (-6 + -1173)) + 4?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(-2)*o*o)\/o)\/o)**(-6\/5)\/((o\/(o\/(o\/(o**(-5\/4)\/o)))*o)\/(o\/o**(-9))) assuming o is positive.\nAnswer: o**(139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p - 9. Let h(r) = -3*r + 4. Suppose -3*t = t - 92. Let o = t + -32. Let b(v) = o*h(v) - 4*q(v). Let x(s) = -3*s. What is x(b(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5866?  (a) 0.11  (b) -0.3  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 17, 42, 79, 128?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 = -2*a + 126. Suppose a*l = 8*l - 12. Let f(k) = k**2 - 5*k + 3. What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/5)\/((-1972)\/2465))\/((-1)\/2*-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**6\/120 + u**5\/20 + u**4\/24 - u**3\/3 + u**2. Let b be 0 - -5 - (-8)\/(-4). Suppose 0 = -b*s - 0 + 9. Determine w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/3 + 14855*a**2\/3 - 50115343*a\/3 - 12783409917.\nAnswer: -(a - 7747)**2*(a + 639)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2135605 is divided by 427115?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 3*l - 23, 4*b = 4*l + 248 - 204 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 712 + -709. Let m(f) = -6*f - 9. Let d be m(-6). What is the highest common divisor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1260)\/(-450))\/(-14))\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*z + 230 = 0. Let m be 114\/14*z\/(-12). Let w = m + 1041\/56. Find the common denominator of w and -46\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 144*j**2 + 156*j**2 - 313*j**2 - j + j + j**2 + (0 - 3 + 2)*(-2*j**2 + 4*j**2 - 3*j**2).\nAnswer: -11*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1331) + -3)**2 + (sqrt(1331) + sqrt(1331) + (2 + -2 + sqrt(1331) - sqrt(1331)) - sqrt(1331))**2 + -1 + 1 + sqrt(1331) + 0 + sqrt(1331) + -1.\nAnswer: 154*sqrt(11) + 6663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(11) + 4 + (sqrt(77) + -2*sqrt(77))\/sqrt(7) - (sqrt(22)\/(sqrt(8)\/sqrt(4)) + -2).\nAnswer: -3*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-10))\/((-24)\/(-20)). Suppose -v + 4*h + h - 25 = 0, 5*v + 5*h = -35. Let p = v - -8. What is the smallest value in p, 1, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - 5671.\nAnswer: -5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 8. Solve v*t = -0*k + 2*k + 6, 0 = -4*t - 4*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7531 or -7414?\nAnswer: -7531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150 - 2*n**3 - 150.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2564 + 2592. Solve -7*q + 42 = -y*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nsssssssnsnsssssss. Give prob of picking 2 s and 2 n.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -467457, -467448, -467439, -467430, -467421?\nAnswer: -467412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 10 = -2*i, 0 = -4*a - 4*i - 4 - 8. Let x be a\/18 - 77\/(-63). Solve -q - x = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 219*l - 7884, -32 - 4 = v - 2*l + 16 + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 351*t + 19. What is the hundreds digit of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 626 - 426 + 617 = 43*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, e: 2, l: 8, d: 1, c: 3}. What is prob of picking 1 l and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**6\/180 - 5*s**5\/24 - 29*s**4\/24 - 31*s**2. Let r(c) be the second derivative of n(c). List the prime factors of r(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186 = -67*u - 283 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 6 = 0, 0 = -5*i - h - 0*h + 78. Let o = -0.13065 - -0.63065. Which is the biggest value?  (a) o  (b) -5  (c) i  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5216704 (base 10) to base 2.\nAnswer: 10011111001100111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1193, 2311, 3439, 4583, 5749, 6943?\n\"Answer: w**3 - w**2 + 1114*w + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of r**7\/140 - r**6\/80 - 5*r**2. Factor i(w).\nAnswer: 3*w**3*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.15603 - -0.17097. Round t to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -13. Suppose 0 = m*u - c - 10, 3*u + 2*u - 2*c - 15 = 0. Determine g, given that g**2 - u + 4 - 2 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**2 + 7*c**2 - c**2 + 4*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -449\/489 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28179 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 54*t + 1. Let b be q(5). Suppose -5*d = 4*p - b, 2*p - 5*p + 217 = 4*d. What is the lowest common multiple of 40 and d?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - -6. Let j = -15 + z. Put 0.4, -4, j in ascending order.\nAnswer: j, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y**2 + 2*y. Let s(p) = 298*p**2 - 4*p. What is 3*b(w) + s(w)?\nAnswer: 313*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 61450 and 45.\nAnswer: 553050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 6*u**3 - 58*u**2 + 5*u - 24. Let c(a) = a**3 - 12*a**2 + a - 5. Let y(r) = 11*c(r) - 2*v(r). What is the tens digit of y(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14449?\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -12. Let g be (-3 + 2 - -2)*i. Let k be (-62)\/(-8) + g\/20. What is the greatest common divisor of k and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*j**2 - 129*j**2 - 116*j**2 + (1 - 1 + j)*(-j + j + j) - 2*j**2 - 4*j**2 + 2*j**2 - j**2 + j**2 - 2*j**2 + 4*j**2 + 9*j - 9*j)*(-j + 4 - 4).\nAnswer: 237*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1639 divide 64350073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.36965 to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*q - 19 - 6 = 127 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 64 = 3*k - 2*y, 0 = 4*k + y - 52. Is k > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -353*n**2 - 3*n**3 + 13 + 636*n**2 - 283*n**2.\nAnswer: -3*n**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) -1\/616  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 97911301 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-2*sqrt(32))\/sqrt(4) + (2*(sqrt(48)\/sqrt(4) - sqrt(12)))\/sqrt(6) + 1 + 1)**2.\nAnswer: -16*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*f + 86*f - 45*f + 126*f - 19*f.\nAnswer: 225*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -36 times -15844\nAnswer: 570384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f - f - 18 - 2 + 43. Calculate h(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5\/7 - 1) + 1917\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.5 - -2. Let z = 266 - 2131\/8. Which is the second biggest value?  (a) z  (b) 0.4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (18*l**2 + 15*l**2 - 6*l**2)*(-l**2 + 0*l + 0*l) + (-1 - l**3 + 1)*(-4 + 4 - 2*l) in the form t*l**4 + q*l**2 + y*l**3 + k + b*l and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61721.\nAnswer: 11, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10741*k**2 - 2*k - 73597 wrt k.\nAnswer: -21482*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7810, -30705, -68864, -122287, -190974, -274925, -374140?\n\"Answer: -7632*j**2 + j - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 910730113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9766 (base 10) to base 5.\nAnswer: -303031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -3. Let c = -5.7 - -0.7. Let r be (-2)\/(-7) + (-8)\/(-70). What is the closest to 3 in r, c, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 r, and 1 a when four letters picked without replacement from tutivar?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 52\/5*c + 2\/5*c**2 + 338\/5 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17243319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 - -51. Let g(b) = -29006*b - 16. Let r(t) = -5801*t - 3. Let x(i) = 2*g(i) - 11*r(i). Let m be x(s). Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -10545\nAnswer: -2\/3515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u - 49. Let t(j) = -j + 50. Determine 4*h(m) + 5*t(m).\nAnswer: -m + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2213 + -33167\/15. Let v = m - 23\/15. Let 0 - 5\/3*d + v*d**2 = 0. What is d?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 15. Suppose 7*d + 2*x = s*d + 168, 2*d - x = 69. Find the common denominator of (-51)\/d*(-122)\/(-6) and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.05 - 4.95. Let g = -2 - y. Let f be 2\/(-8) - (-39)\/572. Which is the third smallest value?  (a) g  (b) 2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 369 and 82373715.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27260 is divided by 447?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1850, -3963, -6072, -8177, -10278, -12375?\nAnswer: -14468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43 + 5. Suppose 0 = -5*u + 2 - 17, -4*f = 4*u - v. Solve -4*g - f = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 26441329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50097981.\nAnswer: 3, 16699327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47857\/36 - -11962\/9. What is the fourth smallest value in w, 7, -2, 0.14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*k**3 - 5 + 5 + (-5*k + 4*k + 0*k)*(-k**2 + 3*k**2 - k**2) + k - k + k**3 + (-k**2 - 4 + 4)*(-k - 2*k + 2*k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 3*k + 2 = 9, 5*u - 4*k = -2. Suppose u*d - 13 + 7 = 0. What is the first derivative of -4*p**3 + 3*p**3 + 18 + 5 + 0*p**d wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/16*2*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -371542.6 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 + (-9)\/(162\/60). Factor -2\/3*s**2 + 8\/3*s - t.\nAnswer: -2*(s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**2 + 7621048*w - 3630023288644 = 0.\nAnswer: 952631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -14. Let v = 29\/105 - -2\/35. Let z = 4 + -8. Which is the second smallest value?  (a) v  (b) z  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -115*l**4 - 38860*l**3 + 160240*l**2 - 170960*l + 13680 = 0.\nAnswer: -342, 2\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**4 - 1 - 4*w - 355703*w**2 + 355697*w**2 + 45*w to the form q*w + f + p*w**3 + c*w**4 + u*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 187 = -611. Let o = l + -209. Solve o*m = 6 - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 2*x + 5*x)*(-77 + 80 - 84 + (1 - 3 + 4)*(-2 + 5 - 5)).\nAnswer: -170*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 4*k = 9*k - 31, 110*k - 109 - 125 = -2*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -6*m - 3 + 12 + 0*m + 9*m. Let h(z) = 3*z + 8. Let l(v) = 4*d(v) - 5*h(v). Let b = -11 - -18. Let r(q) = 5*q + 7. What is b*l(g) + 4*r(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 45 = 5*a, 0*a + a + 29 = 5*g. Sort -5, -2, -33, g in descending order.\nAnswer: g, -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-85 - -73)*3\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -31049a?\nAnswer: 310496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7007, 13991, 20975, 27959, 34943?\n\"Answer: 6984*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 247 - 173. Calculate the greatest common factor of 518 and s.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -308, 17.6, 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26.2 - 25. Let w = n - 1.20044. What is w rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4161 = -35*k + 1229. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v - 15. Calculate u(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -9.9988\nAnswer: 3.99952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -3*l - 5. Let q be y(-2). Let i be 42\/9 - q\/(-3). Suppose 3 - 71 = -33*j + 97. Solve -j*z = -3*z + b + 1, -b - 1 = -i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/559 and -81\/109876.\nAnswer: 4724668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 243 = -3*y, 6*y = -2*a + 2*y + 180. What is the greatest common divisor of 42 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 AM and 9:50 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 58\/3 of a day in hours?\nAnswer: 464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 105, 601, 1485, 2757, 4417?\nAnswer: 6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, -8823860 in descending order.\nAnswer: 5, 3, -8823860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/((k*((k\/k**(-2\/9)*k)\/k*k)\/k)\/k)))\/k)\/(k\/k**(-6\/17)) assuming k is positive.\nAnswer: k**(-173\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -a - 900. Suppose -11 = -2*v + 5*s + 29, 31 = v + 3*s. Calculate the greatest common divisor of v and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -1\/145734, 1\/2, -7, -1.\nAnswer: -7, -4, -1, -1\/145734, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - 16. Let r = -7 + b. What is the third smallest value in r, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*n. Let z be 2*-1 - (-4 - n). Let h(f) = -3*f**2 - 6*f - 1. Let o(x) = -3*x**2 - 7*x - 2. Let q(k) = -5*h(k) + 4*o(k). Calculate q(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*u + 3*b + 10, 0 = 3*u + 4*b - 6. Let w = 3 + -5. What is the nearest to w in -2, 3, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62\/(-403) + (3388\/(-26))\/(-2) is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -40. Suppose -4*v = n - 5. Calculate the remainder when (1 - 2) + 20 + v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y - 2*y**2 + 7*y**2 - 2*y**2. Let m be g(3). Let d(j) = 11*j + 11. Let q be d(1). What is the highest common divisor of m and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3211 + -3534. What is the nearest to 0.1 in r, 0.3, -2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4685 or -4707?\nAnswer: -4707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22710357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*p**4 + 2*p + 0*p**4 - 1425*p**2 + 1429*p**2 - 23*p**3 in the form h*p + d*p**4 + t*p**3 + k + q*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4482*v = -4433*v + 3960 - 1009 + 724 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 11:46 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -39323.8693 and -1.\nAnswer: 39323.8693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -664992 + 1118935. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -16. Let m(i) be the first derivative of 1\/4*i**4 + 8*i + 1\/2*i**2 + 584 + 7\/3*i**3. Calculate m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 2*w. Let f = 425 + -421. Let y(o) = 6*o**2 - o - 4. Let r(p) = -11*p**2 + 3*p + 7. Let i(u) = f*r(u) + 7*y(u). Give 5*h(x) - 2*i(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -332*d + 276*d + 1064. What is the greatest common divisor of d and 7201?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 - 25. Suppose 0 = -n*q - 541 + 2149. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 517\/4 + -129. Let v = -0.2 - -0.2. Which is the nearest to m?  (a) -0.5  (b) v  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 8*m**2 - 29*m - 63. What is the remainder when 2130 is divided by q(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*j - j + 8*j + ((j + 5*j - 4*j)*(6 - 1 - 2) - 186*j + 72*j + 252*j)*(-6 + 4 + 4) as w + d*j and give d.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 - -45. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 293 + -148. Suppose n - i = -u, -4*n = 3*u - 3*n - 429. Suppose o + o - u = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(272) + sqrt(272))**2 - sqrt(272)) + sqrt(102)\/sqrt(54).\nAnswer: 37*sqrt(17)\/3 + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6132 + 2289 + 2160 + a + (a - 5*a + 2*a)*(0 - 1 + 2))*(-3*a**3 - a**3 + 6*a**3).\nAnswer: -2*a**4 - 3366*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -0.41?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3178485551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - 15. Let c(k) = -k**3 + 13*k**2 + 14*k + 2. Let t be c(14). Suppose h = 3*f - 21 + t, -5*f - 43 = 3*h. Are d and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*y - 143*y = -5625 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 3*u**3\/2 - 20*u**2 + 7*u - 3. Find the first derivative of o(i) wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2326471, -9305932, -20938363, -37223764, -58162135, -83753476, -113997787?\n\"Answer: -2326485*y**2 - 6*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -287 + 294. Suppose -60 + 95 = -q*c. Sort c, 3, 1, 11.\nAnswer: c, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b3a + 1?\nAnswer: -1b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 9208 = 3*l, 0 = -3*x + 49*l - 54*l + 6884. Which is greater: 2307 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1440832654.\nAnswer: 2, 17, 23, 1842497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a\/(a*a**(2\/17))*a**9 assuming a is positive.\nAnswer: a**(168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 50180 divided by -5\nAnswer: -10036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x**3 - 8*x**3 - 63 - 24*x**3 + 2*x.\nAnswer: -39*x**3 + 2*x - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*a**3*g**3 - 39*a**3*g + 811*a**2*g**3*y - 8*a**2*g**2*y - a*g**2*y + 2*y wrt g?\nAnswer: 42*a**3 + 4866*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.048 + -0.142. Let h = -0.4098 - -17.2198. Let j = h - c. Is 1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from {t: 3, a: 1, m: 1, v: 8, c: 2, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 48.8 in 2, 1170.9, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15006\/2928)\/(3\/9*(45\/(-40))\/(-3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21.21 - -7.37. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 + 8*a - 3. Suppose i + 10 - 16 = 0. Calculate g(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c - 552 = 0. Let t = 145 - c. Solve -7 = -4*y + 3*f + t, -5*y = 5*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 4*(1 + -1 + sqrt(13)) + (sqrt(637) - (sqrt(637) - (sqrt(637) + -4 + sqrt(637)*-1 - sqrt(637) - sqrt(637)))**2).\nAnswer: -5748 - 157*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -23505 divided by 15\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 142*n**2 - 2190*n + 945. Determine q(156).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2*n - 3 + (-2*n - 3 + 3)*(3 - 2 - 3) + (1 + 2 - 4)*(n + 5*n - 5*n) + (3 - 6 - 5)*(-8*n + 16*n + 13*n))*(2 - 1 - 2) to r + y*n and give y.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 divided by -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1109 + 1257. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -14  (b) -2\/3  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/40)\/(((-1)\/(40\/(-330)))\/3)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 22210110200022?\nAnswer: 22210110200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 54. Let w = s + 16. Let y(a) = 17*a**2. Calculate y(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/14 - 14\/(-49). Suppose 25 = -5*b, 2*y + 0*b - b - 1 = t. Let h = 2 - y. Solve -3*r - 20 = h*j, -4*j = 10 - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(7) + 3)*6.\nAnswer: 6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/3)\/b)**(-16\/7)\/((b**(-2\/11)\/b)\/(b\/(b\/(b**(5\/4)*b)))))**2 assuming b is positive.\nAnswer: b**(1763\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 4 - 3 + 1 + 6 + 23*u to the form t + h*u and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24407 - -24418.0104. Let k = -11 + z. What is k rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pye when three letters picked without replacement from eyeppee?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -0*s - 2. Suppose 0 = -3*k + s*k + 2, 0 = l - 5*k + 10. Suppose l*p + 55000 = p. What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4893486, -9786976, -14680468, -19573962?\nAnswer: -24467458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11*i**3*u**2 + i**3 - 836*i*u**2 + 3*i*u + 4275 wrt u?\nAnswer: 22*i**3*u - 1672*i*u + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/30*((-12)\/(-6))\/4*-10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y + 2. Suppose -9*n + 5*n - 4 = 0. Let b be n\/(-4) - (-105)\/(-20). What is the remainder when 50 is divided by x(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f**2 - 2. Calculate j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -735, 1\/2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*i - 12. Let q(v) = v + 7. Let j be q(-6). Let m = -3 + j. Put i, m, 1 in ascending order.\nAnswer: m, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/63*(-6)\/4*18\/(-45)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 0.96, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -248147735868050*f**2 + 178221520*f - 32 = 0.\nAnswer: 4\/11138845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2483409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 5. Let c = 2.08 + -0.08. Let z = 113 - 2145\/19. What is the second smallest value in z, c, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 11022?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5613.56 rounded to the nearest 10?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -120.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 61*c**2 - 111*c - 18. Let n be g(-59). Which is bigger: n or -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57921.74cm to micrometers.\nAnswer: 579217400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 492426 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 17*a. Suppose 4*w + 10 = w + 4*t, 0 = -2*w - t + 8. Let b(i) = -3*i**2 + 15*i**2 - 2*i**w - 10*i**2 - i**2. Give b(v(m)).\nAnswer: -289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b86 (base 13) in base 7?\nAnswer: -15101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10513951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -125 divided by -2158?\nAnswer: 125\/2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 61*q - 893. Determine j(16).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/250546 or 93?\nAnswer: 1\/250546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h + h + h + (2 - 1 + 1)*(1 + 1 + 1)*(4*h + 3 - 3).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2063 is divided by 660?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7617)\/12*(-5 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 69511, 278484, 626771, 1114378, 1741311?\n\"Answer: n**3 + 69651*n**2 + 13*n - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30.876 and -1691.\nAnswer: -52211.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -357920918*d**2 - 91174204*d wrt d?\nAnswer: -715841836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -1 - (-526 - -413 - (-25 - 0)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.610015 + 0.61. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 802695 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of d**6\/120 - d**5\/10 + 3*d**4\/8 - 2*d**3\/3 - 19*d**2. Factor r(x).\nAnswer: (x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + m. What is t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12922411.\nAnswer: 12922411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*1\/(-1)*(-48)\/(-336)*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 592 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000146012 to 7 decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -151*i**5\/20 - 1565*i**4\/24 + 2049*i**2. What is the second derivative of o(m) wrt m?\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 380 and 347305.\nAnswer: 26395180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 less than or equal to 2725\/624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6694 + 5837 - 16358*b + 9809 + 6261 wrt b?\nAnswer: -16358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 544*v + 1632. Give k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88 + 1\/2*f**2 + 175\/2*f.\nAnswer: (f - 1)*(f + 176)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cwcwcjwwjscwtcw. Give prob of sequence tcw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 165*o + 9024. What is q(-50)?\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 142909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3400208*d**4 - 7228*d**2 - 95*d?\nAnswer: -81604992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -255 + 259. Suppose 4*b - 8 = 0, h*b - 7 = -5*n - 9. Put n, -0.4, -0.04, -0.3 in decreasing order.\nAnswer: -0.04, -0.3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3523, -3589, -3657, -3727, -3799?\nAnswer: -3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 0, -13, 822, 4\/17?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2130966 is divided by 16138?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**5*n - 42*h**4 + 44*h**3 - 5*h**2 + 2*h*n + 5634*h wrt h.\nAnswer: 60*h**2*n - 1008*h + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 303468 and 1441.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 123430 (base 5) in base 3?\nAnswer: 20200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2*m = 12. Find the third derivative of -m*k**2 - 9*k**3 + 13*k**3 + 4*k - 4*k wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x + 0*x + x)*(60 - 29 - 12).\nAnswer: 76*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - 10*x + 12. Let z be r(-10). Calculate the highest common divisor of z and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -3, 2, 7, 5 in decreasing order.\nAnswer: 7, 5, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1738182 rounded to 3 decimal places?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -6. Suppose 4*u - 4 - 8 = x. Suppose 0*v - v = u*o, 0 = 3*v. Is o less than -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21073*g - 45*g**2 + 5*g**3 - 21073*g + 45*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 1 + 7, k - 28 = -5*a. Let j = -55 - -57. Solve l + j*l = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 256 = -142. Let b = r + -193. Let g(v) be the third derivative of -v**6\/120 + 7*v**5\/60 - 7*v**4\/24 + 2*v**3\/3 + v**2. Determine g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 39 - 39. Let j be 3\/15 - (n + 213\/(-135)). Factor 4\/9*v**2 + 2\/9*v**3 - 8\/9*v - j.\nAnswer: 2*(v - 2)*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 452 = 160. What is the remainder when 177 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -937794305 greater than -937794304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2341627434 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) -1\/5  (c) 41  (d) -0.9  (e) 24\/181\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.295, 131, 5?\nAnswer: 2.295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3))**(-3\/31)\/(r*r**(4\/13)*r**(-2\/25)) assuming r is positive.\nAnswer: r**(-9444\/10075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -6*s**3 + s - 2. Give i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5 + 6*y**2 + 5 - y + 0 + 1. List the prime factors of c(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2. Let s(w) = 2*w - 12494 + 12821 + 0*w + w. Calculate r(s(i)).\nAnswer: 18*i**2 + 3924*i + 213858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttvfttffttftftfftftf. Give prob of picking 2 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from famsafmfssmffmf. What is prob of sequence sm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3838042 take away -19859577?\nAnswer: 19859577.3838042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -5161721 to the nearest one thousand.\nAnswer: -5162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131104 is divided by 319?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 30.1. What is the nearest to 0.1 in s, 0.03, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -0.9. Let r = -0.105612 + -0.194388. What is the closest to 3\/5 in -0.6, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 11:46 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-2))\/o**(-8))**39 assuming o is positive.\nAnswer: o**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -92\/7, 2\/9, -1214, 6\/7, -3.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 165636*w - 3312714. Determine f(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101111 + -101111110010010?\nAnswer: -101111111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**16*j))\/(j\/j**9*j) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -13, -35.\nAnswer: -35, -13, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 36637.12l?\nAnswer: 36637120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -171173 (base 15) to base 13.\nAnswer: -301824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5))**(2\/25))**35 assuming f is positive.\nAnswer: f**(28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4325 < 4326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -5. Let f be ((-54)\/(-45))\/(3 + 39\/(-15)). What is the nearest to -1\/2 in f, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5586443000 rounded to the nearest 1000000?\nAnswer: -5586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 5*i + 1. Let t = 8 + -4. Let u be r(t). Suppose 0*d - 40 = -u*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*i - 139*i = z - 190, -i + 5*z + 38 = 0 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/((-9)\/12) + 0. What is the tens digit of (-155)\/(-15) + k\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 23*z - 103. Let o be (-1)\/((-7)\/(-6) - 1). Let m = o + 14. Calculate the remainder when s(-12) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8084?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 + 2)*(46 - 46 + 101*y + (2 - 3 + 4)*(y - 2*y + 3*y)) as v*y + s and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*j*k**2 - 4*j*k + 44030814*j - 41*k**2 - 8*k with respect to k.\nAnswer: 48*j*k - 4*j - 82*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/19262495 and -169\/240?\nAnswer: 924599760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 27 = -4*q - 4*m, 0 = -4*q + 5*m + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -402.5 + 402. Let g = -132 + 135. Which is the smallest value?  (a) g  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u**2. Let h(i) = 5769*i - 5. What is x(h(n))?\nAnswer: -99844083*n**2 + 173070*n - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 162, 1016, 3118, 7026, 13298, 22492?\nAnswer: 35166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w. Let v(o) = -10*o - 7. Let n(r) = r - 1. Let q(z) = 4*n(z) + v(z). Let m(h) = -h + 0 + 0 - 2. Let p(a) = 22*m(a) - 4*q(a). Calculate p(j(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -300 - 58a?\nAnswer: -88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5520 and 84.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.3 - -2. Let b = -0.4 - o. Let s = 177.5 - 177. What is the closest to b in -3\/4, s, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18662d9 (base 14) to base 8.\nAnswer: -56051067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 51 + l**2 + 1\/3*l**3 + 5*l. Determine n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-35)\/2*432\/(-90). Let a = -83 + i. Let h be (6\/(-4))\/a - 86\/(-4). Solve h = -5*s + s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/10956 and 41\/6972.\nAnswer: 76692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/60 of a day in minutes?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -209, -215, -223, -233, -245, -259, -275?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/552 and 109\/12.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 111201111 (base 3) in base 10?\nAnswer: 10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -343, -342, -341?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 58\/(-6) + 55068\/(-12708)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38274392 is divided by 4410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 282692653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -157638 divided by 94.\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.105 and -17.27.\nAnswer: 1.81335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15732 - 15709. Solve -26*z + 10 = -u*z - d, 2*d - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 + 62. Sort -5, 5, -4, k in increasing order.\nAnswer: -5, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 18. Calculate the common denominator of -38\/3 and -5 + 1 - 16\/h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7 - k + 11*k + 3*k**2 - 2*k**2 + 4. Suppose u = -4*o - 22, -2*o + o + 7 = -u. What is the units digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9))\/(14\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2 + 5*i**2 - i**2 + i + 14*i**3 + 0*i**2. Give z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 52*o**2 - 160*o - 281. Give j(55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -5*b. Suppose b = 4*f - 5*f + 46. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 + -21. Suppose d*g - 60 = 18*g. Let t(i) = i**2 - 3*i - 5. Let k be t(5). Solve 3*a - 2*o - g = 7*a, -2*a + 14 = -k*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 8. Does 13 divide 12 + -1 + i + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -57 + 6 - 176*y + 514*y + 107 + 179 with respect to y.\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**2 - 3*r + 2. Let l be u(-3). Let y be (l\/((-105)\/(-12)))\/(6\/15). Is y smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27 + 54. Let d(j) = j**2 + 10*j - 14. What is the remainder when m is divided by d(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-144)\/3840*20)\/((-87)\/(-8) - 0)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -4*j - 1\/2*j**2 + 2. Let c be k(-4). Solve n + 4*t - 8*t = 20, c = -5*n + 2*t + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 78420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5495 - 273?\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2022212 (base 3) to base 13.\nAnswer: -a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -2.1. Let q be (-57)\/(-209) + 0\/1. Which is the biggest value?  (a) t  (b) 0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.03 + 1.97. Let f = s - 1. Let v = -0.26744 - 0.03256. Which is the second biggest value?  (a) f  (b) 0.5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*2648\/(-60)*3. Suppose -5*f + t = m, -3*f + 817 + 1193 = 3*m. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**3 + 9*w**2 - 48*w - 97. Give b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*v = 63*v + 4*t + 32, v - 9*t = 48 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223837 is divided by 223824.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-248)\/(-4) + 3)*-1. Let b = i - -67. Sort b, 1, -12 in ascending order.\nAnswer: -12, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/22563 and -151\/75222?\nAnswer: 188581554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0466 + -17.3266. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4836236246 - 3001416008. Let b = -1834820202.00000132 + k. Let x = -36 + b. What is x rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*j**2 + 2892 + 3*j**2 - 2892.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24171*a**2*i**3*s + 409*a**2*i**2*s + 6*a**2*i + a**2*s - 72*i**3*s**2 - 42*s**2 wrt i?\nAnswer: -145026*a**2*s - 432*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-10)*56\/(-126)*-3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7219 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-134)\/(-7) - 7\/49. Let r = s - 19. Let t(f) = -315*f**2 + 6 + 625*f**2 - 309*f**2. Calculate t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 1 = v. Suppose -3*b = -v*b + 18. Let -5*d**2 - 3*d - 2*d**2 + 3*d**b + 3*d**2 + d**2 + 3*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.46 - -0.06. Put 3, 4, j, 1 in descending order.\nAnswer: 4, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**2. Let h = -72 + 75. Let w(j) be the first derivative of -3 + 1\/3*j**h + 0*j**2 + 0*j. Give z(w(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -12 + (-6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28059049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 4*a**2 + a**2)*(0 + 6 + 2)*(-6*a**2 + 3*a**2 + 2*a**2) - 3*a**4 - 2*a**4 + 4*a**4 + (3 + 0 - 1)*(-2*a**4 + 0*a + 0*a).\nAnswer: -29*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttvttttv. What is prob of picking 1 t and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 101101101100100111 (base 2) to base 12\nAnswer: 9039b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 16344156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -28*v + 22*v + 3 - 12. Let q be n(-8). Suppose m = k - q, 2*m - 113 = -3*k + m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 124 + -113. Let h(k) = k**3 - 11*k**2 - k + 1. Determine h(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126197?\nAnswer: 97, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249595 is divided by 49857?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/21028 and -45\/16.\nAnswer: 84112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.8 - -0.7. Let m = 416.0821 - 0.0821. Let a = m - 416. Sort a, 2, q in increasing order.\nAnswer: q, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687918.\nAnswer: 2, 3, 7, 11, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189417 is divided by 47011.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-12))\/((-10)\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*c + 652 = 0, 3*c - 3902 = -5*q - 642. Suppose 2532 = 8*v - q. What are the prime factors of v?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/6 + 23*c\/6.\nAnswer: -c*(c - 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 15. Suppose 0 = 4*y + 2*r - 34, 1 + 1 = l*r. Suppose -3*g - 17 = -4*m, -2*m - 8*g = -4*g + y. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 33 and 255.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1712 and 3568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (13 + 0 + 9 + -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 5:34 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6461 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h - 17 - 41*h - 4 + 45*h - 7. What is k(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4408 - 4396. What is the fourth biggest value in 0.4, -0.5, -10, y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1125\/(-18000))\/(((-2)\/(-3))\/((-6)\/6))\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.13744 and -1.\nAnswer: -2.13744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -244371, -245105, -245839, -246573, -247307, -248041?\nAnswer: -248775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -412582036, -412582035, -412582036, -412582039?\nAnswer: -412582044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-28))\/((-4)\/(-70)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 82*m - 2. Let r(k) = -k + 9. Let y be r(7). Suppose -y*o = 5*w - 5*o - 8, 0 = -w - 4*o - 3. List the prime factors of t(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -20. Which is the second smallest value?  (a) 5  (b) h  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*o**4 - o**2 - o**4 + o**2 + (0*o - 2*o**3 + 0*o)*(o + o - 4*o) + (-17*o**2 - 47 + 47)*(3*o**2 + 0*o + 0*o))*(4*o - 7*o + o).\nAnswer: 92*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/3  (b) -7\/1116  (c) 0.1  (d) 8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -279*k**2 + 1965*k**2 - 1684*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9104.65 micrometers in kilometers?\nAnswer: 0.00000910465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1153200 and 46104?\nAnswer: 2215297200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2*z**5 + 0*z**3 - 3\/2*z - 3*z**4 + 0 + 3*z**2.\nAnswer: 3*z*(z - 1)**3*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 1. Let a(t) = -3*t**3 + 6*t**2 + 2*t + 5. Determine a(z) - 6*d(z).\nAnswer: -3*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 8:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -1\/2  (c) -5  (d) -1.2  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2807229 a multiple of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4711.29 + 4743. Let z = j - 0.71. What is the second biggest value in -0.2, z, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - -2*(3 + -2). Suppose 55 = 3*k + 5*r + 10, w*k - 25 = 5*r. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -1  (c) 3  (d) -2\/3  (e) -8.8  (f) -3.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018 a factor of 1296488152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -96424 rounded to the nearest one thousand?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -190, -2, -1, 3, -3 in increasing order.\nAnswer: -190, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-1) - 11\/(-22)*19478 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 34. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 15  (b) 0.698  (c) 54\/19  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 6 = 21. Let a(o) = -5*o + 1. Let r be a(j). Let w = 0 - r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 664\/2*63\/(-14). What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 507 - 5564\/11. Let f = y - 113\/77. Let g = -2.03 - -0.03. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000256525388 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 7*o + 10. Let p be z(-9). Calculate the remainder when 29 is divided by (-2*4)\/(4\/p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -347, -9, -1, 18 in decreasing order.\nAnswer: 18, 5, 1, -1, -9, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/5)\/b)\/(b**(1\/4)*b))**(-38) assuming b is positive.\nAnswer: b**(323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16911346 is divided by 960.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 827935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from hxxxxhxxhxxhxhxxhxx.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p - 1. Let k = 740 + -738. What is i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 5:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 4 = 3*h, 3*h + 2*j = -10 - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 117 - 71. Suppose -7*x - k = 3. Let w(u) = -u**3 - 8*u**2 - 5*u + 14. Let i be w(x). Which is greater: i or -1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qppi when four letters picked without replacement from ppppppppippppppqppp?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -7. Suppose -4*q - 3*u + 28 = -v, -5*q + 15 = -u. Let y(b) = -b**3 - 4*b**2 - 4*b - 6. What is the remainder when y(-4) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1695859938?\nAnswer: 2, 3, 1571, 59971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2.4716  (b) 3  (c) 1481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*z = -159*z + 4736 + 9755 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6 = -5*b, 4 = -2*w + 3*b + b. Let g be -4*w\/(4 - 2). What is the first derivative of -10 + 8 + 12*o**3 - g - 1 wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 4*l**2 + 7*l + 1. Let s be t(5). Let p(v) = 3*v**2 - 33*v. Let f be p(s). Which is bigger: 110 or f?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -508 (base 10) in base 3?\nAnswer: -200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 172536 and 517608?\nAnswer: 517608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (505\/(-7575))\/(2\/((-4)\/(-3)))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/261807 and 139\/588?\nAnswer: 1047228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -46*q**2 - 54*q - 6. What is m(2)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**2 + 3*v - 2. Let u be t(2). Let q be (-7 + 8)\/(-1 + (-30)\/(-28)). Let p be (5 - q)*u\/(-6). Let y(a) = a**2 + 9*a + 6. Calculate y(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6734, 6696, 6666, 6650, 6654?\nAnswer: 6684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (816 - 1939 - 3258)*(1 - 1 - n) to the form o + l*n and give l.\nAnswer: 4381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**2 + 4*s**2 - 4*s**2 - s**2 - 3*s**2 + 2*s**2 + (2 + s - 2)*(3*s - 4*s + 3*s) + 2*s**2 - 4 + 4 + 6*s + 238411 - 238411 - 75*s**2.\nAnswer: -72*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000054625327 rounded to 6 dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -3161 and 3.38348.\nAnswer: -3157.61652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 8 = 2*f, -7120*k + 7119*k = -f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -17*z. Let x(c) = -5*c + 13*c - 3*c - 32*c. Calculate x(h(i)).\nAnswer: 459*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q**3 - 96*q**2 + 82*q + 220. Determine p(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -205 + 2 + -2 - (-3 - 0). Let y = d - -203. Which is smaller: -1\/11 or y?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 50 = -14. Let p = l - 4. What is the smallest value in p, -0.07, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22202122 - -1?\nAnswer: -22202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = c + v + 3*v, -2*v - 6 = 0. Calculate the remainder when c*250*(7\/(-14) + 1) is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -h**4\/4 + 59*h**2\/2 + 34*h. Find the first derivative of m(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-5)*(-4)\/(-7).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -414 and -5?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h - 9. Suppose -2*y - y + 39 = 0. Let o be i(y). Suppose -o*s - 74 = -910. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 53*s + 2905. Calculate d(34).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 332 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w - 3*w + 8*w + 7 - 5*w**3 to r*w**3 + x*w + z*w**2 + k and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6\/5  (b) 3  (c) 0.5  (d) -2421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/225*((-440)\/32)\/(-11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h. Let x(o) = -6*o**3 + 5*o**3 + 0*o**3 + 3*o - 3. Let j be x(2). Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -8. Find the common denominator of ((-2)\/16)\/(v\/(-146)) and 97\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from itti. What is prob of picking 2 i and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -86029207*d**3*z**2 - 760*d**3*z + 8*d**3 + 6*d**2*z + 16*d wrt z.\nAnswer: -172058414*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**4 - 2*g**3 + 2*g**3)*(3 - 2 + 1) - g**4 + 2*g**4 + 8*g**4 + (-1 - 3 + 2)*(-4*g**4 + 0*g**4 + 2*g**4).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6, b: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -89.93 + 90. Let x = -523 + 527.07. Let b = x - z. What is the nearest to 2\/15 in b, 5, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 109 - 17. What is the second derivative of c + 46*n**2 - 24*n**2 + 2*n**3 + 16*n**4 - 22*n**2 + n wrt n?\nAnswer: 192*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43900355 - 23300355. What is b rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 5:28 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 2 - 2)*(-2 + 2 + 2) + 0 + 3 - 1 + 22 - 25 + 21 + (-2 + 2 - 1)*(-9 + 9 - 26))*(2 - 2 - g) in the form k*g + n and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/12*(-272)\/(-340)*-3*5\/(-141).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 18622*s - 559559. What is w(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 322, 699, 1194, 1789?\nAnswer: 2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -14*i**2 + 35. Let l(h) = 1. Let q(z) = 2*b(z) - 70*l(z). Let y(r) be the second derivative of -r**3\/6 + 4307*r - 2. Calculate y(q(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g**2 - 74*g - 8. Let d(r) = 2*r**3 + 15*r**2 + 20*r + 24. Let h be d(-6). Is 14 a factor of o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-5 - (4 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 4:42 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - (3 + -1 - 4). Let a(x) be the first derivative of x**2 + 65*x + 135. Calculate the remainder when a(d) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 12 = w. Suppose 2*y - 4*d = d + 101, 160 = 4*y + w*d. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2187)*1 + sqrt(2187))\/sqrt(9))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-8) - (-4)\/(-16). Let o be 6\/(7\/4 + v). What is the greatest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/119)\/(((-200)\/(-35))\/20)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(((-4)\/(-12))\/((-2)\/(-12))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + -1 - (-1 - 2). Let f(q) = 4*q - r*q - 2*q. Let p(y) = y - 2. Let z(w) = 6*w - 13. Let h(k) = 39*p(k) - 6*z(k). Give h(f(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*p - 11, 0 + 3 = 3*p. Let m be (4\/(-38))\/((-10)\/d). Let k = m - 137\/1330. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 9. Let v be p(-11). Suppose 3*q + 4*i = 90 + 356, 304 = v*q + i. Let a be 1\/2 - (-162)\/12. What is the greatest common divisor of q and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 42, 106, 234, 438, 730, 1122, 1626?\nAnswer: 2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c. Let u(g) be the first derivative of 5*g**5\/3 - 15*g**2 + 105. Let s(v) be the second derivative of u(v). Calculate s(l(i)).\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2199 + -2203. Let t(y) = y**3 + 5*y**2 + 3*y + 5. Give t(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3767, 14817, 33165, 58817, 91779, 132057, 179657, 234585?\n\"Answer: m**3 + 3643*m**2 + 114*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, a: 6, e: 3}. Give prob of picking 2 g and 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4\/7 - 1448*v**3\/7 + 136086*v**2\/7 + 276508*v\/7 + 138976\/7 = 0. What is v?\nAnswer: -808, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 84.999921 + -85. Round h to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + 3*m + 7. Let w(u) = -2*u**2 + 4*u + 8. Let c(g) = 3*s(g) - 2*w(g). Is c(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 17*w**2 + 543*w + 1601. Calculate o(-28).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/5)\/(-8)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**3\/7 - 3848*q**2\/7 - 3846*q\/7 = 0.\nAnswer: -1923, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -110 less than -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 32*u*x**3 - 2*u*x - 431*u wrt x?\nAnswer: 96*u*x**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*x = 150*x + 5*j - 20, 4*x = 2*j - 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-56)\/(-9 + 2) + -5. Let z be (48\/(-180))\/((-2)\/b). Is 0.3 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13001, -12829, -12365, -11465, -9985?\nAnswer: -7781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 - 7 + 208*m**2 + 25 - 182*m**2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1198417 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 23*q**3 - 11*q**2 + 13*q - 3. What is the smallest common multiple of h(1) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26 + -2. Let b(z) = -z**3 + 17*z**2 - 19*z - 8. Let m be b(15). Suppose m + 107 = t. Calculate the highest common divisor of d and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.336 - 0.164. Sort y, -3, 1\/3, 0.1 in ascending order.\nAnswer: -3, y, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 317, 7, -13, 0, 1 in descending order.\nAnswer: 317, 7, 1, 0, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 + (-3 - -4)\/1. Let j(z) = 8*z - 1. Let h(w) = 704 - 707 + 10*w + 16*w + 0*w - w. Let k(y) = r*h(y) - 8*j(y). Determine k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 463109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*p - 27*p + 11*p**2)*((5 + 5*p - 5)*(2 - 2 + 2*p) - 3*p**2 - 3 + 3).\nAnswer: 77*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 729.7909m?\nAnswer: 0.7297909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 4481 divide 1174365108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 2\/16731721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1854907\/1503930 - 2\/50131. Calculate the common denominator of -29\/231 and w.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*u - 2*u - 40, -4*r = -5*u + 162. Let o = -3 - -21. Calculate the remainder when u is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0 - 10 = -q, -10 = -4*q + s. Let f(j) = 8*j**2 - 27*j**q + 11*j**2. Let v(l) = -11*l**2. Determine f(v(p)).\nAnswer: -968*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u. Let m(x) = 1243421742*x**2. What is p(m(f))?\nAnswer: -2486843484*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2604?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - g**2 - 2*g. Let z be o(2). Suppose 2*m = -z*m + 6. Suppose 5*p - 12 = 108. Calculate the greatest common divisor of p and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.655 - -0.655. Which is the closest to 8?  (a) o  (b) 4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 8*z**2 + 5*z. Suppose 5*k + 20 = -15. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 886.2l?\nAnswer: 886200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3759299681 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31655 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of -c**4\/12 + c**3\/3 - 7*c**2. Let k(t) = -6*t + 6. Calculate 2*k(n) - 7*x(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-56)\/(-140) - 459\/(-90) - 5. Determine u, given that i*u**2 - 7\/2 - 3*u = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**4 - 2*h**4 + 3*h**4)*(19*h - 221 - 11 - 21*h).\nAnswer: 2*h**5 + 232*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g**2 - 2*g + 1. Let b(w) = -7*w**2 + 3*w - 2. Suppose 2*n = 4*z + z - 35, n = -3*z + 10. Determine z*x(y) + 3*b(y).\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/((-23)\/3 + 7). Solve -z*p = -11 - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 7 = -1. Let t = 7 + w. Suppose 0 = -t*d + 56 - 11. Solve -3*j + j - v - d = 0, -3*v = j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 10. Solve f - 5*v - 4 = 6, 0 = -5*f + h*v + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10013889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 70561035 rounded to the nearest one hundred thousand?\nAnswer: 70600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -10*b**4\/9 - 542*b**3\/9 - 2486*b**2\/3 - 8290*b\/9 - 1364\/9 = 0.\nAnswer: -31, -22, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3348 - 3255. What is the greatest common factor of b and 4371?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46518 + 2*l + 62493 - 109011.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 778*k - 17616. Determine t(-22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1789785509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -131\/5 or -27?\nAnswer: -131\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (10 + -1 + -2) - (24 - 26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*d**3 - 3 - 8*d**3 - 7*d**2 + 16*d**2 as w*d**3 + k + l*d**2 + n*d and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -35604.7445 to the nearest ten.\nAnswer: -35600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -120000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41992.02 milligrams to micrograms.\nAnswer: 41992020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 16 = -2*r, -r + 2*x = -573 + 586 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*p - 319*o + 324*o + 12, 13 = -p - 3*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95190222 to the nearest integer?\nAnswer: 9757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 214656 and 36120.\nAnswer: 7512960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -202*x + 91. Let j(a) = -67*a + 28. Give -10*j(y) + 3*t(y).\nAnswer: 64*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.25 - -0.05. What is the second biggest value in -3\/5, -2, 0.101, k?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**8)**(-3\/25)\/(s\/s**(-23)*(s\/(s*s*s**(-6\/11)*s))\/s) assuming s is positive.\nAnswer: s**(-6189\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, -5\/2, 4, 0, -397\/5, 3\/5, -0.08?\nAnswer: -397\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*l + 192. What is the units digit of l\/(-20) - 6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11.8 + -765627.3496.\nAnswer: -765639.1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23.999137 + 24. What is p rounded to 5 decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30760.03549 rounded to the nearest 100?\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*t + 50*t - 18*t)*(33*t - 25 + 25).\nAnswer: 231*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 778 + -759. What is the greatest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 + -14)*2\/(-6) + -3. Let k be (-3)\/(-2) - (-54)\/12. Suppose 5*z + 20 = a, 4*r - 14 = 5*z + k. Solve 0*v + 2*v + 4 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 521892 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of c**4\/3 - 5*c**3\/6 - 3*c. What is the second derivative of r(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 6. Suppose 0*a - 16 = -p*a. Suppose 0*l - 2*l = -a*o + 24, 5*o - l - 27 = 0. Solve -o*b - 30 = -4*i, i - b - 12 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 52\/(-6)*(0 + 9). Let b = v - -79. Which is greater: b or -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/4 in 0, -5, -0.1, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18\/5 + 103\/30. What is the third biggest value in v, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*t + 9 + 13*t - 19 + (-4 + t + 4)*(-2 + 1 + 2).\nAnswer: 3*t - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 86, 276, 684, 1418, 2586, 4296, 6656?\n\"Answer: 18*f**3 + f**2 + 61*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 5:17 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-27)\/(-3 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*s + s**4 - 23147*s**3 + 23039*s**3 + s + 3*s - 311*s**2 wrt s?\nAnswer: 24*s - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -9143*m - 60422. Give z(-7).\nAnswer: 3579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1383077 + 2786900463\/2015. Let q = -12\/403 + b. Let g = -1\/13 - q. Sort g, -0.4, 4.\nAnswer: -0.4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1\/7  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (84\/(-8))\/((-3)\/4). Let d be s\/4 + 3\/(-6). Suppose -d*t - 4*l + 111 = 0, 2*t + 3*l - 11 - 63 = 0. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2 - (-87082288)\/(-252). Let s = f - -345553. Let g = 69\/7 + s. Sort -0.4, g, 2\/3 in decreasing order.\nAnswer: 2\/3, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 2. Suppose 2*w - 7*w = 20. Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + q - 16, 8 = 3*g - 5*q - 2. Suppose 2*j - 87 = p, g*p = -3*j + 54 + 96. Suppose -2*f = f - 15. Calculate the greatest common factor of j and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-9))\/(185\/15 - 11). Sort 4, f, 0.03, 3.\nAnswer: 0.03, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - 29 + 9 + 5*y**4 + (0 + 3 - 1)*(y**2 - y**4 - y**2).\nAnswer: 5*y**4 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 0*j - 7*j)*(-1 + 1 + 2*j)*(-3*j + 2*j**2 + 3*j).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 151.4 + -169. Let n = g + 17.306. Round n to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 1099.\nAnswer: -9\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((11 + 13*a**2 - 11)*(2 + 3 - 3) - 3*a**2 + 0*a**2 + a**2 + (-4*a - 2*a + 5*a)*(-4 + a + 4))*(4 - 1 - 2).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 3*i + 20. Let w be m(-6). Suppose -f + w = -2. Suppose 2*g = f*g + 128000. What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 2*x + 19, -5*x - 3*f - 14 = -4*x. Let i(b) be the second derivative of b**5\/20 + b**4\/2 + 2*b**3\/3 - 2*b**2 + 248*b. Give i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*y + 4*d = 21*y - 4, 0 = 2*y - d - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/50*(-41700)\/(-13344)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-4))\/(5\/6*(-45)\/60)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**5\/5 - 168*p**4\/5 + 738*p**3 - 6724*p**2\/5.\nAnswer: 2*p**2*(p - 41)**2*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -194, -197, -200?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -323*c**4 - 1058*c?\nAnswer: -3876*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39156.26 + 1833142.74. Let u = d - 1871934.9811. Let n = u + -364. What is n rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 74.53 - 74. Let k = 7.13 - g. Let m = -6 + k. What is m rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 856*i**4 + 438*i**2 wrt i?\nAnswer: 20544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 24, 4, -1\/9, -0.4, 8, 0.482?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 8*j + 8. Let l(y) = -4*y - 1. Let t(o) = -76 - 5*o + 40 + 35. Let s(i) = 4*l(i) - 3*t(i). Determine -10*s(z) - u(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00122365 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -144, -146, -148, -150, -152?\n\"Answer: -2*f - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*j**2*u**3*v**3 + 3*j**2*u*v - 3*j*u**3*v + 203*j*u*v**2 - 1166*u**3*v**3 wrt v?\nAnswer: -24*j**2*u**3 - 6996*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3 + 6\/(10 - (-102497)\/(-10250))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-18) + (4 - 100\/(-45)). Let u be 52\/96 - y\/16. Sort u, 3, 0.1, 0.\nAnswer: 0, 0.1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/12*9 + -51 + 2632 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + -20.19. Let d = r + 0.49. Let s = d - 2.3000062. What is s rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61 + 103*h - 55 + 114 to the form b + d*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 2*u + 3928 - 3932, -f + 5*u = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/6 - 1\/12. Suppose -4*m = d - 2 + 9, -5*m = -d + 20. What is the smallest value in o, m, -0.4, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -499 = -151*a - 1405 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) 3\/5  (c) -1616  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzumzdcddduhddc. Give prob of sequence uu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l - 6. Let g be c(-2). Let f = 1 - -3. Let y(i) = 3*i - f*i - 1 - 1. Calculate y(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3295970 is divided by 82399.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-11)*p)\/p)\/(p**(-1\/4)*p)*p\/(p\/p**(1\/20))*p\/(p*p*p**3))**(-50) assuming p is positive.\nAnswer: p**735","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4204 divided by 1051.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*x**4\/5 - 74*x**3\/5 - 66*x**2\/5 - 14*x\/5 + 4\/5.\nAnswer: -2*(x + 1)**3*(13*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 17.84. Let w = 0.7 + -2.7. Which is the smallest value?  (a) k  (b) w  (c) -2\/3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3333082411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 17, k: 2}. What is prob of sequence yk?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*l = -4*l + 7802. Calculate the highest common divisor of 987 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8afc51 (base 16) to base 11\nAnswer: 5161440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 30, 111, 246, 435?\n\"Answer: 27*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 - 2*l - 2430. Suppose 3*r - 2*r = -3*r. Let s be c(r). Round s to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/11*(-3916)\/3560\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -44*d - 2\/3*d**2 + 272\/3 = 0.\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 379967?\nAnswer: 7, 17, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/168*4)\/(-14 - (-8 - 4))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*q + 8*q + 84. Suppose 2*a = 6*a - q. Let o = -12 + 21. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 171 or -5\/3?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -211 + -735. Let u = q + 590. Is (2\/8)\/((-1)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 326787.6ml?\nAnswer: 326.7876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 3 + 18*a**2 + 3 - 12*a**2 to the form i*a + d + p*a**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 2*o = z - 37, -15 = 3*o - 3*z. Let l be 0*(-2)\/(-4) + -1. Let q = l - o. Solve 3*g = q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5656.64 to the nearest 10.\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -8. Let f = i - -37. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**3 - 1 + 3*q**4 - 280*q - q**2 + 279*q - 3*q**3 to the form l + r*q + p*q**4 + y*q**3 + x*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -564.1488534 - -132.844.\nAnswer: -431.3048534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of 179\/2*b**2 + 0*b - 28. Let z(k) = k. Determine w(z(d)).\nAnswer: 179*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21\/6961490 or -1?\nAnswer: -21\/6961490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3096071 (base 10) to base 13.\nAnswer: -8452c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(2178)*2 + sqrt(2178) - sqrt(18))*2)\/((sqrt(9) + -5*sqrt(36))*2) + 1)**2.\nAnswer: -64*sqrt(2)\/3 + 2129\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and (-4 + 6)*11 - -2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.064 - 0.136. What is the nearest to -0.1 in 9, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m - 25 = 9*m. Suppose -5 = 3*h + 5*r, 0 = -m*h + 5*r + 16 + 29. Solve 0 = -5*p - 2*y - 12, -h*y + 3 = 4*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14729*x**3 + 13734?\nAnswer: 44187*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2*f + 3)*(-1187*f**3 + 3329*f**3 + 3962*f**3 - 481*f**3 + 461*f**3) in the form b*f**4 + g*f**3 + t*f**2 + d*f + n and give b.\nAnswer: 12168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + x + 2. Let p(u) = 6*u**2 - 4*u - 8. Let z(c) = -4*b(c) - p(c). Let d(i) = 20*i**2. What is d(z(l))?\nAnswer: 80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94473704?\nAnswer: 2, 13, 69877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -44, -63, -82, -101?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 137208178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 376930868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1408635844?\nAnswer: 2, 7, 11, 17, 269029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-15))\/((-16340)\/12900).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from jkjzzzzzzzjzzzkzjjj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 0.5, 3 in ascending order.\nAnswer: 0.5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35616 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4028 less than 4028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 3:20 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {n: 1, x: 3, b: 1, f: 4, e: 3, d: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 87341296 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 10273687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 3*b**3 - b - 3. Let h(k) = k**2 + 4*k + 2. Let q be h(-3). Let l be n(q). Solve 4*f - 8 = -4*i, 2*f - l = i - 2*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v + 16. Determine n(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -2*q**3\/3 + 3*q**2\/2 + 5*q + 2. Let u(v) = -4*v**2 + 4*v + 2*v + 0*v + 11 + v. Let k(i) = 9*o(i) - 4*u(i). Factor k(b).\nAnswer: -(b + 1)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 160.7 - 157. Let y = m - -0.2. What is the nearest to y in -3, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 2 + 5. Suppose 0 = r*t + g + 53, -t - 23 = -0*t + 3*g. Let i = -14 - t. Solve -5*f + 0*a - 25 = 2*a, 2*f = -i*a - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 13. Suppose 0 = -5*l - z - 127. Let a = -13 - l. Calculate the remainder when 39 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -11*l**3 - 8*l**2 + 7*l - 2. Let z(k) = 4*k**3 + k**2 - 1. Let s(d) = -o(d) - 3*z(d). Determine s(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 572 and 19591?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2970.1 - 2850. Let r = -120 + b. Let c be (-4)\/(-42)*(-2)\/(-2). What is the nearest to r in c, -2\/5, -2.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4422 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 1\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o*o**(-1\/2))\/o)**(-19))**(-16\/11) assuming o is positive.\nAnswer: o**(456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*z**2*z*z*z\/(z\/z**(-4\/5)*z) assuming z is positive.\nAnswer: z**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x**2 + 50*x + 0*x**2 - 83*x + (-4*x + 0*x - x)*(-2 + 2*x + 2))*(7 - 7 + x**2) to the form v*x**2 + h*x**3 + p + m*x + i*x**4 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 74140382947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12425 (base 7) to base 6\nAnswer: 23142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 6 = -13*f. Find the third derivative of -2*a**3 + 3 - 4*a**2 - 3 + f*a**3 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + -10877)*22400\/(-21). What is k rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10112110 (base 3) to base 9.\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -o**3\/6 + o. Let m(u) = 4. Let v(d) = 2*d - 7. Let z(s) = -7*m(s) - 4*v(s). Give j(z(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1005\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5*n - 14. Suppose 3 = p - 7. What is the units digit of a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*a**2*f**2 + 258*a**2*f - 2*a*f**2 + 13130*f**2 - 1544*f wrt f?\nAnswer: 38*a**2 - 4*a + 26260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -100.6 + 91. Let g = 5.8 - j. Round g to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123*c**6 - 246*c**2?\nAnswer: -14760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 4*g - 40, 0*g + 2*g = 5*v - 160. Let u = 28 - 20. Suppose 48 = u*c - 2*c. What is the lowest common multiple of c and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lbywllnbbnlnwbbllbl. What is prob of sequence wlw?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 8605 = -w + 1324, 5*x = -15. Suppose -31*g = -32*g + w. Let q = 535861\/54 - g. What is the common denominator of 17\/20 and q?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-130)\/156 - (-62)\/84.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-95)\/(-38))\/(5\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2046, 4093, 6140, 8187, 10234, 12281?\nAnswer: 14328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.0094 + 0.0094. Put q, 0.7, 0.4, -1 in ascending order.\nAnswer: q, -1, 0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 163 and 59821?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2352, -2351, -2350, -2349?\n\"Answer: n - 2353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - 2 + 2 + (0 - 5 + 2)*(4*f - 2*f + 0*f) + 7 + 14503*f - 2647*f - 7.\nAnswer: 11848*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270446.\nAnswer: 2, 11, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l. Let a(d) = 302418*d. Calculate a(o(p)).\nAnswer: 302418*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 + -46 - -42) + -59?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1083 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**2 - 7*r**2 - 9*r**2)*(0*r + 3*r - 4*r) + 5*r**3 - 5*r**2 + 5*r**2.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y - 6 - 99. Let o = 19 + y. Solve -4*b = o*f, -b + f = -3*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4178*o - 10029*o - 44374*o - 3933*o.\nAnswer: -54158*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 489631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.8 + 4. Let c = -10 - a. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b - 6*b + 0*b)*(-1 - 1 + 4 + (4 - 4 + 1)*(-3 + 3 - 2) - 29 - 34 + 11).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-116)\/290)\/(-6 + 1272\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 11 = -5*t + 56, -3*m + 2*t + 2 = 0. Solve 2*h - m = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-300)\/(-700))\/((-1)\/(1330\/10))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 6:04 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.79 * 3.056.\nAnswer: 11.58224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6750763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c - 11. Let s be f(12). Solve -s + 3 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 3 = 4*v. Suppose 5*b = v*b + 30. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-41))**(24\/11) assuming y is positive.\nAnswer: y**(984\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + 2*b**2 - 13*b**2 - 5 + 5 - b**2 + (-3*b + b + 3*b)*(-b + 0*b + 0*b) + b**2 + b**2 - 4*b**2 - b**2 - 1 + 1)*(-3 + 2 + 0)*(0 + 0 - 2).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92809653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228)*-2 + sqrt(228))*6)\/(sqrt(588) - sqrt(588)*2))**2.\nAnswer: 684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20151685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3609 = 21*y - 3756 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1082, 1045, 918, 701, 394?\n\"Answer: -45*n**2 + 98*n + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8989 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100001001 + 100?\nAnswer: -10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-16)\/12)\/((-2)\/36) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 8*p**3 - 954*p**2 - 1693*p + 78. Give b(121).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2548 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from {a: 2, f: 1, m: 1, v: 1, s: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -5507707.\nAnswer: -5\/5507707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 8606016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 801 bigger than 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 13*r + 223 = 25. Let x(t) = 3*t + 63. Calculate x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/((-1140)\/2888))\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 19252, 20153, 21064, 21991, 22940, 23917, 24928, 25979?\n\"Answer: u**3 - u**2 + 897*u + 18355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -809, -371, 69, 511, 955?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 375ae (base 16) in base 6?\nAnswer: 4505410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 52283*t**2. Let c(i) = -83*i**2. Let p(z) = 1261*c(z) + 2*y(z). Let w(x) = 21*x**2. Calculate w(p(v)).\nAnswer: 197589*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7 - -13) + -13)*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1140*n**5 + n**4 + n**3 - 718*n**2 - 2 wrt n.\nAnswer: -68400*n**2 + 24*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92*(-3)\/6*-1 and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -661*y**3 + y**2 - y. Let n be b(-1). Let l = 93 + n. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 16*g + 12. Determine u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 398*b - 398*b - 22*b**2 in the form i*b**2 + z + c*b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134684 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - d - 2*d + 8 = 0, -5*d = 3*m - 40. Let t = m - 11. Let l be 24\/60*(-5)\/t. Which is the second smallest value?  (a) l  (b) 0  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/26, 0.11, 2\/409, 4, 1\/6?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 5*x = -3*c - 20, -4*c = -x + 19. Put 0, 2, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of 11*j**7\/210 + j**6\/20 - j**5\/12 - j**4\/4 - 2*j**2. Let y(o) = o**4 + o**3 - o. Let l(a) = -c(a) + 6*y(a). Factor l(f).\nAnswer: -5*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/40, 1, 0.3, 11.03 in increasing order.\nAnswer: 9\/40, 0.3, 1, 11.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -20754 greater than -20749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -3*b - 645, -2*u + 29 = -5*b - 210. What is the highest common factor of 1236 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 23 - 116 - 108)*(43*j**3 - 12*j**3 - 8*j**3)*(j - 2*j - j).\nAnswer: 10396*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0941272 to three dps.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271526.\nAnswer: 2, 127, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/17, 103, 1\/9, -0.02?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/33 and 76\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 228017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 28*o**2 + 1. Determine r(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1394349671 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2312859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 141214 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 11*m**2 - 15*m + 40. Let l be s(12). Suppose 0 = 4*d + l*f - 556 - 380, f = 0. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.92 + 0.08. Let s = -8 - v. Let n = s - -9.0000001. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 335\/(-603)*((-1)\/3 - (-13)\/(-15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -a - 12. Let j be -4 + 1 + -14 + a. Let t be 27\/(-45) + (-13)\/j. Sort t, -3, 0 in descending order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 9:33 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -19*j**4\/24 - 2*j**3\/3 + 14*j**2. Let a be y(-6). What is the highest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1659 and 2310?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + 21 + (3 - (-1 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - n + 10. Suppose -5*j = 7 - 2. Let w = -1 - j. Calculate y(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 - -98. Suppose s = q - 4*q + 108. What is the remainder when q is divided by -1 - ((-3)\/1 + -18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 283115683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -241 by -13.\nAnswer: 241\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, q: 3, s: 2, h: 1, y: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 14*g**2 - g + 2. Let k be u(2). Let r be (-2)\/10 - k\/(-30). Let z = -1 - 3. Which is the nearest to -1?  (a) z  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = i - 5*q + 5, 3*q = 5*i + 12. Suppose 10*c + i*c = 270. Let p = -4 - -30. Are p and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.213 + 39.713. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 13. Give y(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 187726 and 336.\nAnswer: 4505424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94761?\nAnswer: 3, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 305352886058 from -48.9.\nAnswer: -305352886106.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 110001?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -276 in 880, 1, -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(77) - -1*sqrt(77)) + sqrt(77)))\/(sqrt(35)\/(sqrt(20) - sqrt(5))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -2.94. Let t = d + 5.96. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 10, -5*p = 3*j + 5 + 5. Suppose 2*q - 2*r + p = -1, 2*q + 27 = -3*r. What is the closest to -1 in 0, 0.2, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - d)*(0 + 4 - 3 + (-1 + 0 - 1)*(-2 + 1 + 0) - 3 - 1 + 2 + 4 - 1 - 5)*(-2*d**4 - 2*d**4 + 5*d**4).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2344042.\nAnswer: 2, 1172021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**3 - 2*f**2 - 2*f + 1. Suppose 3 = 4*x - 5. Let c = 0 + x. Calculate i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2556392584?\nAnswer: 2, 5273, 60601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -5*h - 19, 4*h + 2*s + 10 = -3*s. Let z = h - -9. Suppose -4*b - 2 = 2*l, -3*b = -3*l - 248 + 272. Solve 3*q - l = z, -u - q = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 6*c**2 + 2*c + 11. Let z be x(-6). What is the nearest to 1 in z, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 948\/(-1106)*14\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3648 + 3665 - (-1)\/(4\/(-82))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -9635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (300\/400)\/((-1)\/(-20))*((-56)\/(-21))\/4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3838926\/105)\/26 - 8\/(-10)?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*n - 5 - 13, 11 = -n + 4*w. Suppose -5*j + 3*j + 28 = 4*h, -n*h + 38 = j. Solve 2*d + 2*d = 16, 3*q + 5*d = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222157*f + 111089*f + 111073*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 6:19 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/755640 and -91\/188910?\nAnswer: 755640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 11866*h**2 + 353*h - 354. List the prime factors of m(1).\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-5)\/(-6)) - ((-3556)\/126 - -22).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4594723  (b) 4  (c) -1\/7  (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 197, 742, 1663, 2954, 4609, 6622, 8987?\n\"Answer: -l**3 + 194*l**2 - 30*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 11) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1847291 * 84\nAnswer: 155172444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 3699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1152 (base 6) to base 14.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -12 - -14 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 2*u**4\/3 + 6*u**3 + 792*u**2 + 3. What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -954 - -1088. Let z = -133 + j. Let x be (-8)\/(-30) - 2\/(-6). Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -59 + 65. Let h(s) = -2*s**3 - 8*s**2 + 6. Let k(y) = 7 - 2*y + 2*y - 9*y**2 - 2*y**3. What is w*k(n) - 7*h(n)?\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153220 is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8439 (base 11) in base 16?\nAnswer: 2ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1155, 1155, 1165, 1191, 1239, 1315, 1425, 1575?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2013 + -0.3013. Sort 5, t, 254 in ascending order.\nAnswer: t, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6527 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 14 - 14)*(3 - 2*d - 3)*(-2*d**2 - d**2 - 2*d**2) as r*d**4 + x*d**2 + o + g*d + v*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 57747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2574 = 2*y, 8*y - 5*y = 4*h - 2050. Suppose 3*v - h - 41 = 0. Suppose 5*d = 5*x - v, 0*d + 185 = 5*x + 4*d. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -5*(sqrt(567) + 1)*1 + -4)**2 + -1.\nAnswer: 900*sqrt(7) + 14274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -11  (b) -0.1  (c) 1.3  (d) 1  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1282178 take away 2219509?\nAnswer: -3501687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001937797 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t. Let m(k) = k**2 + 15*k - 5341. Let x(w) = 2*w - 764. Let p(a) = -2*m(a) + 15*x(a). Calculate p(g(v)).\nAnswer: -32*v**2 - 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 2*o - 2162, 453 + 637 = o - 5*w. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(35)\/(sqrt(252) + sqrt(7)) + ((sqrt(350)\/sqrt(7))\/sqrt(10) - sqrt(5)))**2 - (5 + (sqrt(60) + sqrt(180)\/sqrt(12))\/sqrt(12) + -4).\nAnswer: -3*sqrt(5)\/2 - 34\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-7) - -1) + -1)*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1931182?\nAnswer: 2, 11, 41, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 204)*6\/(-12). Suppose 5*v + a = 176. Solve 2*n = -n + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -2623?\nAnswer: 262.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -3. Calculate the lowest common multiple of 6 and 1\/(-2) + 11\/y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 108 = 5*z + 29, -5*r = -2*z - 51. Let g = 32 + z. Suppose -4*w = 2*v + v - 21, g*w - 29 = 5*v. Solve -15 = 3*k - w*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/8)\/(q\/q**(-3\/11))*q**(-13)*q**(1\/17)\/q)**(-33) assuming q is positive.\nAnswer: q**(68841\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14557235.\nAnswer: 5, 7, 11, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 158 and 13509?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -106.43 and -39.\nAnswer: 4150.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 142288200 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 21 = -o - 1, 0 = s - 5*o - 14. Which is the third biggest value?  (a) 2\/13  (b) 0.4  (c) -2\/17  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 1065714*g - 2. Let n be r(-7). What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32.7 - -334.7. Let a = -301 + l. What is the nearest to 1\/2 in 6, a, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1480772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 11:53 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - v - 1341 = 5259, 6604 = y - 2*v. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 118 - 231. Let r = 113.0000099 + w. What is r rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.9 - -6.05. Let t = q + -2.15198. What is t rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -325 + 470. List the prime factors of 4872\/v*(14\/3 - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22 + 65 - 17) + 4 + (1 - 6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -12*x - 1. Calculate the remainder when r(-4) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - -1 - (-17)\/(-19). Let n(y) = y**3 - 8*y**2 - 6*y + 5. Let v be n(8). Let w = -38 - v. What is the second biggest value in 3, g, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjjj when four letters picked without replacement from rrjvvtrrjrtvrtrvjvv.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -147 - -144.04. Let h = 0.04 - m. Let q = 1112 + -1107. What is the third smallest value in h, q, -0.4, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1672 and 1386.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -45. Let q be ((-4)\/16)\/((-10)\/z). Factor 0*b**2 - q*b**3 + 2\/5*b**5 + 2\/5*b + 0*b**4 + 0.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 277729*k**2\/5 + 2479008*k\/5 + 5531904\/5.\nAnswer: (527*k + 2352)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -17. Suppose s - 6 = -s. Which is greater: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37050 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (0 - 8\/25) + 0 and (34\/(-17952)*11)\/((-15)\/1812)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/36 and -13\/1616144.\nAnswer: 14545296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 122255164?\nAnswer: 122255163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49 - 3. Let x = q - 28. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4493490*u - 876175 wrt u.\nAnswer: 4493490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -3 + 2\/3*n**4 - 7\/3*n**2 - 4\/3*n + 10\/9*n**3. Factor u(a).\nAnswer: 2*(a - 1)*(a + 2)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -228\/7?  (a) -0.2  (b) -4  (c) 0  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/18 + 4\/3. Let j(d) = -d**3 + 2*d**2 + 3*d - 3. Let g be j(2). Suppose -c + 0 = -g*i - 4*k, 0 = 4*i - 4*k - 12. Solve i*f = -0*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 5:07 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -64. Suppose 0 = -4*o + 2*o + 10. Calculate the greatest common factor of o and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 75 = 3*t, 0 = 2*t + 2*t + 4*v - 96. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -2\/13, -0.1, -5\/9, 0.1?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = m - 2*i, -5*m - 4*i = -10*m - 15. Let y be 2\/(m*(-2)\/(-8)). Suppose 3*x = x + y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 14 + 6*n**2 + 17.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.83 + 12.03. Let a = 2 + 2. What is the closest to w in -1, -2, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 382963564?\nAnswer: 2, 683, 140177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p**4 - 136*p**3 - 22716*p**2 + 1013824*p - 990976 = 0.\nAnswer: -79, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 2*v**2 + 14*v - 3. Calculate the smallest common multiple of t(-5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 2)*(-1)\/(-2). Let w(m) = m**2 + 2*m. Let d be w(0). Let h = -1\/14 - d. Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + h**2 + h + 1. Let x(l) = 2*l**3 - 5*l**2 - 5*l - 6. Calculate -5*q(j) - x(j).\nAnswer: 3*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 497397 = 3*v - 3*l, 0 = -76*v + 71*v - 5*l + 828975. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 48*m**2 - 50*m - 143. Let x be o(-47). Let c(k) = -k**3 + 2*k**2 - 3. What is c(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 135426955 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 2  (b) 0  (c) -12\/13  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17789 + 853927\/48. Calculate the common denominator of g and -67\/750.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3 - 38146514*r**2.\nAnswer: -2*r**2*(r + 19073257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -168, -337, -506?\n\"Answer: -169*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 526\/565 - 60\/113. Let d be 1\/6 + (-2)\/(-12). Put o, -1\/7, d, -0.2 in descending order.\nAnswer: o, d, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5192089922?\nAnswer: 2, 2596044961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -111110 (base 3) in base 8?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*f, s + 8 = -3*f + 7*f. Suppose -48 = -s*t - 0*t. What is the smallest common multiple of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*w**3 + 6*w**3 + 22*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8928 and -45960.\nAnswer: -410330880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 7:12 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 27, -5, -1, 0, 13, 649 in descending order.\nAnswer: 649, 27, 13, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -0.5, -5 in decreasing order.\nAnswer: 11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 48 = n. Suppose -f + 880 - 4112 = -n*a, 0 = 2*a - 4*f - 1602. List the prime factors of a.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*y**2 + 29*y**2 + y - 81*y**2)*(3 + 5 + 2).\nAnswer: -160*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2297677 or 2297683?\nAnswer: 2297677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 2*x - 3*x)*(2 - 3 + 0)*(47 + 8*x - 47) + (x + 0 + 0)*(-4*x + 4*x + 4*x) + (-x - x + x)*(-8*x + 4 - 4).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-75396*y + 5 + 0 + 75390*y)*((3 - y - 3)*(-2 - 2*y + 2) - 9*y**2 + 10*y**2 + 2*y**2).\nAnswer: -30*y**3 + 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + 1)*22*1. Let k(r) = 13*r - 12. Let y be k(8). Let f = c + y. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 5)*(0 - 1 + 0)*(-1289*z - 1212 + 1212 + 0*z - 5*z + 4*z + (-3*z - 2*z + 3*z)*(-3 + 2 + 3) + z - 6*z + 4*z)*(0*z**2 + 2*z**2 - 3*z**2).\nAnswer: -2590*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21985 is divided by 2723?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14102327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100300 (base 4) to base 9.\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 18*k**2 - k + 14. What is p(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.7 + 1.7. Let s = 1 - f. Let z be (-2)\/(-12)*-3*(4 + -1). Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 172366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43.9297 litres?\nAnswer: 43929.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 126004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99) + -1 - (2*sqrt(99))**2.\nAnswer: -397 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 - -322530520?\nAnswer: 322530544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.06 or -9577?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -d**6\/240 - 51*d**5\/40 - 1925*d**4\/16 + 5929*d**3\/12 + 2024*d**2. Factor w(l).\nAnswer: -(l - 1)*(l + 77)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 + 6*j + 1. Let f be a(4). Let s be ((-32)\/(-6))\/(2\/f). Suppose -918 + s = -2*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b6d6 (base 14) in base 6?\nAnswer: 402020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34 - -43. Let s(y) = 2*y - 19. Let i be s(m). Which is smaller: i or -3\/10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 0 + 0*n**3 + 2\/3*n**4 + 5*n + 1\/20*n**5 - 2*n**2. Let j be u(-8). Let z(g) = g**2 + 3*g - 3. What is z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/8545 and -34\/25.\nAnswer: 42725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 394 and 1966\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*z = 24. Sort z, -1, 5 in decreasing order.\nAnswer: z, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -10*r**2 - 3*r + 4. Let s(t) = 29*t**2 + 10*t - 11. Give 3*s(i) + 8*w(i).\nAnswer: 7*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from sysyjjyttvsvjxyvvsvy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 7*f**2 - 3*f - 18. Let o be l(6). Let z = 2.15 + -0.15. Which is the nearest to o?  (a) 2\/3  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -565076\/5 + 113586. Let r = g - 563. Suppose -3*h = -14 - 13. Is h less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 2. Let a be r(0). Suppose -24 = -0*d - a*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/((-45)\/36)*(-2)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1)\/(2\/(-10))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q + 9*q - 268. Suppose q + 41 = 5*d. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 448094849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/10279 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*(d\/d**7)\/d)\/(d**(-2\/7)*d))\/(d**(-1\/6)*((d*d\/(d\/(d**(-6)\/d)*d*d))\/d)\/d))\/(d**5\/(d**(-8)*d))**46 assuming d is positive.\nAnswer: d**(-22997\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxla when four letters picked without replacement from axlgaxxxb.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -1, 92 in ascending order.\nAnswer: -3, -1, 1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**3 + 60*g**2 - 33*g - 8. What is the hundreds digit of q(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28702*q**3*r + 18988*r with respect to q.\nAnswer: -86106*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -103, -117, -131, -145, -159?\n\"Answer: -14*o - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 6*h + 2. Let b(t) = -5*t - 2. Let r(f) = -5*b(f) - 4*u(f). Let z be r(3). Suppose 4*w + 1 = 5. Solve -w = -z*c - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -149*o + 145*o + 25932. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2007*i**3 - 17*i**2 + 34*i + 6. What are the prime factors of o(2)?\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -f, 0*q - 3*q - 3*f + 6 = 0. Let s be (-22)\/(-6) - q\/6. Let p be 12\/(-14)*(-4 - s). Solve -4*t = -t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -w**4\/8 - 3*w**3\/4 - 3*w**2\/2 + 6*w. Factor z(k).\nAnswer: -3*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 4*r + 102. Let w be n(25). Let t = -468 + w. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2638599.\nAnswer: 3, 879533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-18)\/(-19) + -163 + 164.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -4  (b) -0.4  (c) -0.5  (d) 0.0727\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 35, -13, 1268\/67?\nAnswer: 1268\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.036 + 7\nAnswer: 7.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/2)\/((-6)\/16). Let c = -22\/51 + 139\/204. What is the third smallest value in d, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -530\/3*d + 0 - 2\/3*d**2.\nAnswer: -2*d*(d + 265)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/14 + (-598)\/(-14). Suppose 40*p = i*p - 93. Solve -5*c - 5 = 2*a - 0*c, 2*c = 5*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1062258.\nAnswer: 2, 3, 177043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 + 49. Let p(u) = -4*u**3 + 4*u + 3. Let n be p(-2). Let f be 6*n\/12*2. What is the greatest common factor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-34)\/(-10) - 8\/20. Suppose 2*d - 42 = -3*m, -4*d = -q*m - 0*m - 120. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 4  (b) -0.1  (c) 3  (d) -14  (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 379903703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/35))\/f)**(-29\/5)\/(f**21)**(-39) assuming f is positive.\nAnswer: f**(143354\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - i = 7, t + 4*i - 4 = 2*i. Suppose j + t*j - 18106443 = 0. Suppose 2*q + 8364519 = -j. What is q rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*u + 135 = 75 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131, -45, 43, 139, 249, 379, 535, 723?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/(-4) + (-2)\/8. Let i be (l - (4 + -3))\/(-1). Let v(r) = r**2 + r - 5. Let s be v(-5). Solve 3*m = -5*p + s, -2*m + 9 = -m + i*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 0*n - 4. Suppose 26 = 3*h - 4*g - 6, n*g = 5*h - 56. Let y = h + -7. Solve 0*b = b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.03 - -0.02. Let i = -5.05 + s. Let w = -3 + 2.9. What is the second biggest value in i, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-475)\/20)\/(1\/(-4)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-1 + -2 - -2). Let m = k - 7. Let u = m - -10. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5706 divided by -6?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 14*j**2 - 16*j - 1. Let z be d(15). Let m = z - -20. Suppose -180 = -m*k + 92. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 4)*(-2 + 0 + 4)*(4*l - 3*l + 0*l) in the form b*l + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -258 >= -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u**(2\/19)\/u*u)*u)*u*u**(-5\/2))\/(u**2*u**(-6)\/u))\/(u\/(u*u**(6\/11)*u)*u*u**(2\/9)*u\/((u**(1\/3)*u)\/u*u)*u**(3\/5)) assuming u is positive.\nAnswer: u**(50069\/18810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 2)*(-3*j**3 + 0 + 0).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33905084 is divided by 576?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 466*f - 2167. Let j be b(5). What is the highest common factor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 285*n**2*o + 30*n**2 - n*o**2 with respect to o.\nAnswer: 285*n**2 - 2*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 108749268871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 447342 (base 8) to base 14\nAnswer: 3d1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k. Let p(v) = -8*v + 1 + 0 + 16 + 1 - 1. Give d(p(g)).\nAnswer: -16*g + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c**2 + c**2 - 7*c**2)*((0*c + 3*c - c)*(0 + 4 - 3) + 4*c + 6*c - 6*c - 2*c - 16 - c + 15) to p*c**3 + n + q*c + m*c**2 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/42)\/(4\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 363*s**5 - 17*s**4 + 143*s**3 - 9*s**2 - 4*s + 21893?\nAnswer: 21780*s**2 - 408*s + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 71 - 51. Suppose 5*o - 60 + z = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -13*n**3 + 28*n**2 + 35*n - 6 = 0?\nAnswer: -1, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1689*z = -1659*z + 1620 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*c**2 + 25*c**5 - 22*c**2 - 316*c**4 + 6*c**5 + 316*c**4 + (1 + 0 - 2)*(-2*c**5 - c**4 + c**4) - c**5 + 0*c + 0*c - c**2 + 2*c**5 + c**2.\nAnswer: 34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 3.1. Let h = 4 - 3.88. Let g = 0.22 - h. Which is the closest to p?  (a) -1\/4  (b) g  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -6*j**2 - 11*j - 11. Let h(b) = -2*b**2 - 4*b - 4. Let u(k) = 11*h(k) - 4*r(k). Let d(z) = z**2. What is d(u(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 - 6399*r**2 - 10521744*r - 905242156.\nAnswer: -(r + 91)*(r + 3154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 12. Suppose -m = 3*m - y. What is the remainder when 1 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 times 2801\nAnswer: -392.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5526*k**2 - 5528*k**2 - 2 + 2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - q**2 - 2 - 2)*(7*q**3 + 5*q**3 - 6*q**3) + (2*q**2 - 2*q + 2*q)*(-2*q**3 - 4*q**3 + 4*q**3) - q**5 + 0*q + 0*q.\nAnswer: -11*q**5 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 6) + 3 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1110, -1117, -1124, -1131, -1138, -1145?\n\"Answer: -7*h - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 0*j + 0*j**3 - 5\/2*j**2 + j**4 - 2. What is the second derivative of h(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -4*i - 1. Let o be h(-6). Let n = -14 + o. What is the units digit of (3\/2)\/(n\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40.34 times 0.19?\nAnswer: -7.6646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234869941.\nAnswer: 234869941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 22, 49 in descending order.\nAnswer: 49, 22, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 46466847 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -49961 by 14.\nAnswer: -49961\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**5 + 25*g**4 - 20*g**3.\nAnswer: -5*g**3*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -302 + -11?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -793, -2588, -5581, -9772, -15161, -21748, -29533?\nAnswer: -38516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + 2 + -3 + -5. Put -4, -2, f in descending order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by -15 - -12 - 2*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(2736\/192 + 0 + 1\/(-4))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l + 3. Let d be s(-3). Let u be (-3)\/d - 2\/3. Is u equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*u - 5*i, -32 = 4*u + 4*i. Let o = 25 + u. Solve -4*c = c + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 156, 233, 310, 387?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 82, 6, 2811, 5 in descending order.\nAnswer: 2811, 82, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -150*v**3 + 214*v**3 - 100*v**3.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -9. What is the closest to u in 2\/5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-690)\/(-108) - (-6)\/(-54)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j. Let m(u) = 2 - 2 - 193*u**2 + 89*u**2. Calculate w(m(b)).\nAnswer: -312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -327*v**3 - 4*v**4 - 80*v**2 - 111*v + 109*v + 3*v**4 - 2 + 329*v**3 in the form p*v**2 + x*v**3 + t + l*v**4 + r*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/6*3\/(-5). Let s be (1\/(-3)*4)\/2. Let x = 488\/9 + -54. What is the nearest to s in x, a, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a + 2*a - 16*a + 0*a.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 7 + (2 + 1 - 4)*(-4 + 1 + 1) + 3 - 1 - 1)*(-27902*a - 17*a**2 + 27902*a - 8).\nAnswer: -119*a**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -994.947 - -994. Let q = h - 0.053. Which is bigger: -14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -204 - -291. Let y = 91 - q. Solve -y*v + 3*v = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 7 in decreasing order.\nAnswer: 7, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(17\/6231365) + -55*14\/(-6545) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 83 - 26 + 12*c**2 - 26.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/((sqrt(44) - sqrt(11))*-4).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -24, -98, -224, -402, -632?\n\"Answer: -26*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 326849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -405 times -33278\nAnswer: 13477590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 18705?\nAnswer: -18702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39622614 is divided by 1650942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 76 = 5*r, -3*h - r - r = -114. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/4 + 1\/(-2). Let u(o) = 2 - 10*o + 5*o - 2*o**2 + 4*o**2. Let s be u(v). Calculate the highest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 748, 740, 726, 706?\n\"Answer: -3*l**2 + l + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1))**(-11\/5)*(c**17\/c*c)\/(c\/(c\/(c**(-2\/9)\/c*c))) assuming c is positive.\nAnswer: c**(874\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -7*s + 4. Let n(w) = -w - 1. Let t be n(3). Let h(x) = -6*x + 3. Let d be 6\/(-8)*-4*1. Calculate d*c(k) + t*h(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - x = -360. Suppose 8*f = 120 - x. Let b = -55 - -77. What is the remainder when b is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 243.4 + -313.4. What is the third biggest value in -10, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(27) + 4 + sqrt(27)) - (2 + sqrt(300) + sqrt(18)\/sqrt(6)*5)**2.\nAnswer: -663 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10110 + 112?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 8:58 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of 2\/3*c**5 + 1\/42*c**7 + 0*c**3 + 5\/6*c**4 - c**2 + 5\/24*c**6 + 0*c + 31. Determine s so that m(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273062 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 0, -5, -2\/385, 2809?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 7. Suppose 0 = -3*i + 6*j - j + 2, 3*j = b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 1075*s**2 + 8584*s - 127. What is u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 651, 1588, 2525?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -220453766534.99998767 - -220453763983. Let z = f + 2552. Round z to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/3 + 15835*x**2\/3 - 488368*x + 955620.\nAnswer: (x - 90)*(x - 2)*(x + 15927)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1292 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 216 + -1081\/5. Let q = -5 + 4. Which is the nearest to -1?  (a) 0.3  (b) q  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -5, 0.1, -0.23, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 10 = -2. Let k(l) = 2*l**2 - 3. Let b be k(-4). What is the second derivative of -b*y**2 + 29*y**u - 2*y + 3*y**3 wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3444\/1845)\/(2\/639)*(-10)\/(-3) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + 11*v**2 + 16*v + 12. Does 3 divide f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + 14*x - 3*x - 1 - 2*x + 1 + 0*x - 4*x + 2*x + (-x - 3 + 3)*(4 - 2 - 3) + 2*x - 6*x + 3*x to the form s + d*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3736, 14958, 33650, 59812, 93444?\n\"Answer: 3735*b**2 + 17*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64 + -60 - (0 + 0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 91752 and 22.\nAnswer: 1009272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5475534 and 7353.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = -3*z + x + 19, 0 = 4*z + 4*x - 12. Let h be (12\/(-9))\/(z\/(-6)). Let f = -1 - h. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k + 26 - 12 + 3*k - 16. Let o be d(1). Solve -o*q + q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 5 = -w, 5*j - 16*w + 14*w = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2112120100221 + 1?\nAnswer: 2112120100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 19*o**2 - 16*o - 11. Let f be z(-18). Which is greater: -45 or f?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*o - 348 = 0. Calculate the remainder when o is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -107*p**2 - 22*p - 22 wrt p.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/9 - -2)*-18. Let a be g\/16 + (-11)\/(-4). Suppose a*n = 5*c + 40, -2*n - 20 = -3*n + 4*c. Calculate the lowest common multiple of 14 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/1936 and -3\/6160.\nAnswer: 67760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 4:26 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.066?  (a) 1894  (b) 0  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-290152 + 138)\/(-1 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39)\/27144*29*66.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*-4 + (4 - (-11 + 11)). Find the common denominator of 2\/5 - 674\/(-40) and ((-72)\/45)\/c - 202\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49 and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 566707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5063, -9988, -14893, -19772, -24619, -29428, -34193?\nAnswer: -38908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 454419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -1  (c) -21.8  (d) 0.08  (e) 0.5  (f) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -51, -184, -497, -1074, -1999, -3356, -5229?\n\"Answer: -14*r**3 - 6*r**2 - 17*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c - 2. Let l be 29*(7 - 6) + 1. What is the lowest common multiple of v(-4) and (-18)\/l - (-365)\/25?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of g**7\/147 - 4*g**6\/35 + 47*g**5\/70 - 26*g**4\/21 - 16*g**3\/7 + 64*g**2\/7 - 8*g. Factor i(s).\nAnswer: 2*(s - 4)**3*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -0.3432?\nAnswer: 0.10296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5118 - -8133. Calculate the highest common divisor of u and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -2, 12, 828 in decreasing order.\nAnswer: 828, 12, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-608880)\/(-486750) + (-24)\/22.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 1:20 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q + 9 + 5 = 0. Let v(k) = k**2 - 1. Let n(s) = -4*s**2 - 7. Let w(z) = -2*z**2 - 3. Let r(t) = -4*n(t) + 9*w(t). Calculate q*r(m) - 3*v(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.028916853 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 963391873 to the nearest integer?\nAnswer: 31039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 9  (c) -2  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 71 - 66 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**3 + 7*i**2 - 8*i + 14. Let f be m(-7). Let o be 140\/f + 4\/(-26). What is the second biggest value in -4, -2\/17, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 551 + -561. Let j(w) = w**3 + 10*w**2 - w - 9. Calculate j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a - 9. Let m(g) = -7*g - 19. Let j(b) = -2*m(b) + 5*t(b). Find the first derivative of j(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**2 - 240*w + 1433. Determine v(-67).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/235 and -115\/3666.\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (58\/(-2))\/522*4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o**2 + 5*o - o**2 - o**2 + 6 - o**2. Determine c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -8*b**2 + 127*b. Let u(q) = -2*q**2. Give d(u(k)).\nAnswer: -32*k**4 - 254*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -7*z + 144. Calculate the least common multiple of 1354 and y(18).\nAnswer: 12186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 423*a**2 - 65*a - 753. What is the hundreds digit of q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -122233 (base 4) to base 10\nAnswer: -1711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*o = -6*o + 14, -16 = 3*n - 5*o. Let h = 4581 + -4582. What is the closest to 2\/7 in h, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1)\/(c\/(c**5\/c))*(c*c*c**(-11)*c)\/c**(4\/9) assuming c is positive.\nAnswer: c**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 96 = 3*u, 3*u = u - 3*v + 54. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10)\/25)\/((-1)\/5). Let p(z) = 2*z**3 - 4*z**2 + z + 2. Let t be p(b). Solve 11 = t*o - 2*o + a, o - 3*a + 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5*z + 45 = 0, 5*o + z - 25 = 30. Let k be 2*-3*(0 - 1). Suppose -k*w + 80 = -2*w. Calculate the greatest common factor of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 10*f + 56 = 0, 2*p - 13*p - 78 = -2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -4*g, -3*o - 2*g + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107947, -215937, -323999, -432139, -540363, -648677, -757087, -865599?\nAnswer: -974219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24628 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-316)\/(-237)*270\/(-1140)*(-2)\/24\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221214 (base 5) to base 9.\nAnswer: -11477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 65335, 65338, 65347, 65362, 65383, 65410, 65443?\n\"Answer: 3*q**2 - 6*q + 65338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1316 = -i - 1314, 0 = -3*w - 3*i + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 77176871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5*n + 546 = 0, -2*t + 160 = 3*n - 205. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 11:35 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.13 + -0.114. Let g = m + -0.01567. What is g rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -21*i**2 - 1512*i + 3136. Calculate k(-74).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-5 + 17) - (-24 + 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 3 = -3*l. Suppose 0*r + 3*r = 30. What is the lowest common multiple of r and (-8)\/(-1) - (0 + l)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23855995 = 2*b - 3*b. Let q = -47539663 + 31683668. Let x = b - q. Round x to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 25*j + 4. Let q(d) = -26*d - 5. Let i be (-118)\/(-12) + -9 - (-115)\/(-120)*4. What is i*p(u) - 2*q(u)?\nAnswer: -23*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -506 - -5184. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 9. Suppose 0 = 5*s - 10*s + 15, -3*n + x*s = 366. Let l = -79 - n. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59901070 divided by 5?\nAnswer: 11980214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1582 (base 13) to base 9.\nAnswer: -4277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -6817.3 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/432 and 21\/20.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116 + 17 = -3*m. Let d be 43 - -2*5\/20*2. Let p = d - 32. What is the lowest common multiple of p and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.07, 16, 2, -0.5, -94, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3\/2*t**2 + 3\/2 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 104 and 2.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 27 = -5*l, 4*n + 2*l + 4 = 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -31*s**2 - 412*s + 1014. Let z(g) = 18*g**2 + 206*g - 509. Let h(t) = -3*d(t) - 5*z(t). What is q in h(q) = 0?\nAnswer: -71, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 240265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2119 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2673, -5353, -8043, -10749, -13477, -16233?\n\"Answer: -l**3 + l**2 - 2676*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0 = -3. Let m be 1\/3 - 4\/(-24). Which is the nearest to z?  (a) m  (b) 0  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -18. Let z = y - -24. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/1661504 and -161\/6786.\nAnswer: 433652544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -72782 >= -0.089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 2*m - 8. Let u be g(6). Let k be (-27)\/(-45) - 12\/20. Let s = 2 + 2. Solve -s*a + k = -u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4834757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-2) + (-14)\/(-4). Suppose -2*j = v*j. Solve t - 6*t - 5*s - 30 = j, t = 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -857581*g - 1073561 wrt g.\nAnswer: -857581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -475 greater than -501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*t + 61*t = 22*t - 1728. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -466 = -5*s - m, 3*m = 3*s + 6*m - 270. Let g = -2171\/18 + 385\/3. Calculate the common denominator of g and s\/36 + 1 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -6*n**2 + 17*n + 9. Let j(f) = f**2 + f + 1. Let o(p) = -4*j(p) - z(p). Is o(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + 2*sqrt(171)*-5 + sqrt(171) + (sqrt(171) + (sqrt(171)*-2*-5 - sqrt(171)) - sqrt(171)) + sqrt(171))*1)\/(1*(2*1*sqrt(81))\/sqrt(9)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, -4, -119 in descending order.\nAnswer: 47, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3.47 times 4380\nAnswer: -15198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 459 + -1?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.599157232 rounded to 4 dps?\nAnswer: -0.5992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 13?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*u = -4*m + 46, -2*m + 2*u = -16. Calculate the greatest common factor of m and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -1) + 2\/2. Suppose -w - 5*d + 17 = y, -w - 1 = -d - 0. Solve -w*c - 4 = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/3850*(0 - 438\/(-48) - 6). Which is greater: -0.9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 392 + -369. Find the common denominator of 40\/(-9) + (u - 24) and 23\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d8d - -3?\nAnswer: 2d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15\/11 in -1, -0.16, 81, -5, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 67 - 62. What is the third derivative of -2*v**6 + 6*v**2 + 2*v**5 + 3*v**b - 5*v**5 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11435 by 5.\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 88507, 88668, 88831, 88996, 89163, 89332, 89503?\n\"Answer: n**2 + 158*n + 88348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.5  (b) 1  (c) -0.23  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + 0 + (-3444 - -3455)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31 + 4*u + 8*u - 33)*(-17 - 92 + 241).\nAnswer: 1584*u - 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*j = 44*j + 75. What is the remainder when 2\/(2\/34*2) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*b - 12 = 0. Let w(c) = 8*c + 9. Let s(y) = -9*y - 10. Let m(h) = b*s(h) - 7*w(h). Let d(r) = 3*r + 5. Calculate 3*d(g) + 5*m(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -86*k - 859. Calculate v(-6).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}